How do you abbreviate million? The word million has a few common abbreviations.
The most common abbreviations for million are,
- M
- m
- MM
- Mill.
When to Use This Abbreviation
As a general rule, abbreviations are not used in academic or other official writing; the word should always be fully written out. Words such as a million, referring to numbers, are only abbreviated in circumstances where the reader is aware of the full meaning.
For example, abbreviations may be used when taking notes, documenting numerical entries in accounting documents, or communication with others in a work environment such as an email or memo conveying important numbers.
What Does Million Mean?
Definition of million: The word million can be an adjective or a noun and refers to the number one thousand thousands.
It is also commonly used as a hyperbole for a huge amount of something.
For example,
- Most houses in Orange County, California cost over a million
- I have asked my children a million times to clean their rooms.
Outside Examples of Million
- August was Mrs. Clinton’s most successful fund-raising month so far, as she crisscrossed the country on a money hunt that took her to dozens of events in the summer locales of the wealthy and the well-to-do. Her efforts brought in $143 million for her campaign and for Democratic organizations, according to her campaign. –New York Times
- A frugal librarian drove an old car, ate TV dinners — and left $4 million to his university. –Washington Post
Summary: Million Abbreviation
There are few different ways to abbreviate the word million. The most common of which are,
- M
- m
- MM
- Mill.
Contents
- 1 When to Use This Abbreviation
- 2 What Does Million Mean?
- 3 Outside Examples of Million
- 4 Summary: Million Abbreviation
In the modern world, we regularly encounter the words million and billion, and businesses, governments, astronomers and journalists often think in the millions, billions or even trillions. However, the word million has been around in English only since the late fourteenth century. The word billion was not introduced in the French language until the fifteenth century and didn’t find its way into English until the end of the seventeenth century, which is fairly late in the history of counting. What words were used before this time to talk about large numbers? This article looks at how we started using million and billion and how the meaning of billion has changed.
Before the Words Million and Billion
In fact, the largest number with a single-word name in ancient Greek was 10,000. It was called murios and borrowed into Late Latin as myrias. From myrias we get the English word myriad meaning “an extremely large number or amount”. The ancients also had the “myriad myriad” (10,000 × 10,000) or one hundred million. Larger numbers were described in more roundabout ways or by using mathematical notation; indeed, one million is expressed in Latin as decies centena milia or 10 × 100 × 1,000, and Archimedes (3rd century BCE) had to establish his own system of mathematical notation in order to systematically express numbers larger than the “myriad”. He explains this system in The Sand Reckoner, a treatise that sets out to quantify all the grains of sand in the universe in order to challenge the idea that such a quantity was too large to be counted.
What Exactly Is a Billion?
For those who were taught numbers before the 1970s, the answer to this question may well have been different depending on where you received your schooling. While it is accepted in English today that one billion equals 109, it is important to be aware, especially when reading older texts, that in the United Kingdom billion hasn’t always meant 109. Until the 1970s, when the United Kingdom officially adopted the American definition of billion, this word represented 1012 in British English.
This difference resulted from the emergence of two competing systems for naming large numbers. A fifteenth-century mathematician, Nicolas Chuquet, established one system by combining Latin numerical prefixes (bi-, tri-, etc.) with the suffix -illion to form powers of one million. In this system, a billion equals one million times one million (or one million squared, 1012) and a trillion equals one million cubed (1018). This is known as the long scale, which was used in the United Kingdom until they followed the United States in 1974 by officially adopting the short scale, a system born in France in the seventeenth century and popular in the French-speaking world until midway through the nineteenth century. The short scale uses the same names (billion, trillion, quadrillion, etc.) but assigns different values to them, with one billion equalling a thousand million, one trillion equalling a thousand billion, and so forth, the logic being that the prefix attached to -illion represents n in the formula 103(n+1). For example, quadrillion, with the prefix quadri- meaning “four” is equal to 103(4+1) or more simply 1015. The short scale is used today throughout the English-speaking world, whereas the French language has settled on the long scale, so that an English billion is translated in French as un milliard and a French billion (also called mille milliards or “one thousand milliards” in English) is translated in English as a trillion.
The differences between the long scale and the short scale are summarized in this table:
Number | Short Scale | Long Scale | SI* Prefix | SI Symbol |
---|---|---|---|---|
106 | one million | one million | mega- | M |
109 | one billion | one thousand million or a milliard | giga- | G |
1012 | one trillion | one billion | tera- | T |
1015 | one quadrillion | one thousand billion | peta- | P |
1018 | one quintillion | one trillion | exa- | E |
1021 | one sextillion | one thousand trillion | zetta- | Z |
1024 | one septillion | one quadrillion | yotta- | Y |
1027 | one octillion | one thousand quadrillion | ||
1030 | one nonillion | one quintillion |
* SI refers to the International System (of Units), a system of measurement widely used in science and international trade.
Abbreviated Forms
People often wonder if there is a correct or best way to abbreviate million and billion when writing about figures.
The most commonly seen short forms for thousand, million, billion and trillion in North America and the United Kingdom, respectively, are outlined in the table below.
Number | North America | United Kingdom | Rarer Forms |
---|---|---|---|
thousand | K | k or K | thsnd(.), M |
million | M | m | mil(.), mill(.), mln(.), MM |
billion | B | bn | bil(.), bill(.), bln(.) |
trillion | T | tn | tril(.), trill(.), trn(.), tln(.) |
Notice that M appears twice in the table above, to represent both thousand and million. Some (especially older) finance texts use M for thousand and MM for million, which can be a source of confusion as M is now widely used to denote million in North America.
Of the style guides that address spacing in this context, most (AP Stylebook, Chicago Manual of Style, Canadian Style, The Economist Style Guide) say to leave no space (100bn, for example), although it is also common in books and newspaper articles to see the abbreviation preceded by a space.
Since there is no universally accepted way of abbreviating these words, the best practice is to be consistent with whatever system of short forms you choose and to ensure that the meanings of your chosen short forms are clear to your audience—for example by establishing at some point in the text that M stands for million, and so forth. Most style guides agree that it is best to spell out these words in full where possible, and to use the abbreviations where spacing is limited (e.g. in headlines and tables) or when figures are repeated often. The Guardian and The Telegraph spell out thousand, million, etc. in full when referring to people and animals and use the abbreviated forms only when discussing inanimate objects or in financial contexts. Scientific texts, on the other hand, avoid appellations like million, billion and trillion and instead use scientific notation when writing about very large and very small numbers. Scientific notation represents numbers in powers of ten, so that 650 billion can be written as 650 × 109 or as 6.50 × 1011.
This article was concocted by
the linguists at Antidote
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-English-speaking areas, including continental Europe and Spanish-speaking countries in Latin America. These naming procedures are based on taking the number n occurring in 103n+3 (short scale) or 106n (long scale) and concatenating Latin roots for its units, tens, and hundreds place, together with the suffix -illion.
Names of numbers above a trillion are rarely used in practice; such large numbers have practical usage primarily in the scientific domain, where powers of ten are expressed as 10 with a numeric superscript.
Indian English does not use millions, but has its own system of large numbers including lakhs and crores.[1] English also has many words, such as «zillion», used informally to mean large but unspecified amounts; see indefinite and fictitious numbers.
Standard dictionary numbers
x | Name (SS/LS, LS) |
SS (103x+3) |
LS (106x, 106x+3) |
Authorities | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
AHD4[2] | CED[3] | COD[4] | OED2[5] | OEDweb[6] | RHD2[7] | SOED3[8] | W3[9] | HM[10] | ||||
1 | Million | 106 | 106 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Milliard | 109 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |||||
2 | Billion | 109 | 1012 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
3 | Trillion | 1012 | 1018 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
4 | Quadrillion | 1015 | 1024 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
5 | Quintillion | 1018 | 1030 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
6 | Sextillion | 1021 | 1036 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
7 | Septillion | 1024 | 1042 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
8 | Octillion | 1027 | 1048 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
9 | Nonillion | 1030 | 1054 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
10 | Decillion | 1033 | 1060 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
11 | Undecillion | 1036 | 1066 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
12 | Duodecillion | 1039 | 1072 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
13 | Tredecillion | 1042 | 1078 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
14 | Quattuordecillion | 1045 | 1084 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
15 | Quindecillion | 1048 | 1090 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
16 | Sexdecillion | 1051 | 1096 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
17 | Septendecillion | 1054 | 10102 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
18 | Octodecillion | 1057 | 10108 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
19 | Novemdecillion | 1060 | 10114 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
20 | Vigintillion | 1063 | 10120 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
100 | Centillion | 10303 | 10600 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Usage:
- Short scale: US, English Canada, modern British, Australia, and Eastern Europe
- Long scale: French Canada, older British, Western & Central Europe
Apart from million, the words in this list ending with —illion are all derived by adding prefixes (bi-, tri-, etc., derived from Latin) to the stem —illion.[11] Centillion[12] appears to be the highest name ending in -«illion» that is included in these dictionaries. Trigintillion, often cited as a word in discussions of names of large numbers, is not included in any of them, nor are any of the names that can easily be created by extending the naming pattern (unvigintillion, duovigintillion, duoquinquagintillion, etc.).
Name | Value | Authorities | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
AHD4 | CED | COD | OED2 | OEDnew | RHD2 | SOED3 | W3 | UM | ||
Googol | 10100 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Googolplex | 10googol (1010100) | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
All of the dictionaries included googol and googolplex, generally crediting it to the Kasner and Newman book and to Kasner’s nephew (see below). None include any higher names in the googol family (googolduplex, etc.). The Oxford English Dictionary comments that googol and googolplex are «not in formal mathematical use».
Usage of names of large numbers
Some names of large numbers, such as million, billion, and trillion, have real referents in human experience, and are encountered in many contexts. At times, the names of large numbers have been forced into common usage as a result of hyperinflation. The highest numerical value banknote ever printed was a note for 1 sextillion pengő (1021 or 1 milliard bilpengő as printed) printed in Hungary in 1946. In 2009, Zimbabwe printed a 100 trillion (1014) Zimbabwean dollar note, which at the time of printing was worth about US$30.[13]
Names of larger numbers, however, have a tenuous, artificial existence, rarely found outside definitions, lists, and discussions of how large numbers are named. Even well-established names like sextillion are rarely used, since in the context of science, including astronomy, where such large numbers often occur, they are nearly always written using scientific notation. In this notation, powers of ten are expressed as 10 with a numeric superscript, e.g. «The X-ray emission of the radio galaxy is 1.3×1045 joules.» When a number such as 1045 needs to be referred to in words, it is simply read out as «ten to the forty-fifth». This is easier to say and less ambiguous than «quattuordecillion», which means something different in the long scale and the short scale.
When a number represents a quantity rather than a count, SI prefixes can be used—thus «femtosecond», not «one quadrillionth of a second»—although often powers of ten are used instead of some of the very high and very low prefixes. In some cases, specialized units are used, such as the astronomer’s parsec and light year or the particle physicist’s barn.
Nevertheless, large numbers have an intellectual fascination and are of mathematical interest, and giving them names is one way people try to conceptualize and understand them.
One of the earliest examples of this is The Sand Reckoner, in which Archimedes gave a system for naming large numbers. To do this, he called the numbers up to a myriad myriad (108) «first numbers» and called 108 itself the «unit of the second numbers». Multiples of this unit then became the second numbers, up to this unit taken a myriad myriad times, 108·108=1016. This became the «unit of the third numbers», whose multiples were the third numbers, and so on. Archimedes continued naming numbers in this way up to a myriad myriad times the unit of the 108-th numbers, i.e. and embedded this construction within another copy of itself to produce names for numbers up to Archimedes then estimated the number of grains of sand that would be required to fill the known universe, and found that it was no more than «one thousand myriad of the eighth numbers» (1063).
Since then, many others have engaged in the pursuit of conceptualizing and naming numbers that have no existence outside the imagination. One motivation for such a pursuit is that attributed to the inventor of the word googol, who was certain that any finite number «had to have a name». Another possible motivation is competition between students in computer programming courses, where a common exercise is that of writing a program to output numbers in the form of English words.[citation needed]
Most names proposed for large numbers belong to systematic schemes which are extensible. Thus, many names for large numbers are simply the result of following a naming system to its logical conclusion—or extending it further.[citation needed]
Origins of the «standard dictionary numbers»
The words bymillion and trimillion were first recorded in 1475 in a manuscript of Jehan Adam. Subsequently, Nicolas Chuquet wrote a book Triparty en la science des nombres which was not published during Chuquet’s lifetime. However, most of it was copied by Estienne de La Roche for a portion of his 1520 book, L’arismetique. Chuquet’s book contains a passage in which he shows a large number marked off into groups of six digits, with the comment:
Ou qui veult le premier point peult signiffier million Le second point byllion Le tiers point tryllion Le quart quadrillion Le cinqe quyllion Le sixe sixlion Le sept.e septyllion Le huyte ottyllion Le neufe nonyllion et ainsi des ault’s se plus oultre on vouloit preceder
(Or if you prefer the first mark can signify million, the second mark byllion, the third mark tryllion, the fourth quadrillion, the fifth quyillion, the sixth sixlion, the seventh septyllion, the eighth ottyllion, the ninth nonyllion and so on with others as far as you wish to go).
Adam and Chuquet used the long scale of powers of a million; that is, Adam’s bymillion (Chuquet’s byllion) denoted 1012, and Adam’s trimillion (Chuquet’s tryllion) denoted 1018.
The googol family
The names googol and googolplex were invented by Edward Kasner’s nephew Milton Sirotta and introduced in Kasner and Newman’s 1940 book Mathematics and the Imagination[14] in the following passage:
The name «googol» was invented by a child (Dr. Kasner’s nine-year-old nephew) who was asked to think up a name for a very big number, namely 1 with one hundred zeroes after it. He was very certain that this number was not infinite, and therefore equally certain that it had to have a name. At the same time that he suggested «googol» he gave a name for a still larger number: «googolplex.» A googolplex is much larger than a googol, but is still finite, as the inventor of the name was quick to point out. It was first suggested that a googolplex should be 1, followed by writing zeros until you got tired. This is a description of what would happen if one tried to write a googolplex, but different people get tired at different times and it would never do to have Carnera a better mathematician than Dr. Einstein, simply because he had more endurance. The googolplex is, then, a specific finite number, equal to 1 with a googol zeros after it.
Value | Name | Authority |
---|---|---|
10100 | Googol | Kasner and Newman, dictionaries (see above) |
10googol = 1010100 | Googolplex | Kasner and Newman, dictionaries (see above) |
John Horton Conway and Richard K. Guy[15] have suggested that N-plex be used as a name for 10N. This gives rise to the name googolplexplex for 10googolplex = 101010100. Conway and Guy[15] have proposed that N-minex be used as a name for 10−N, giving rise to the name googolminex for the reciprocal of a googolplex, which is written as 10-(10100). None of these names are in wide use.
The names googol and googolplex inspired the name of the Internet company Google and its corporate headquarters, the Googleplex, respectively.
Extensions of the standard dictionary numbers
This section illustrates several systems for naming large numbers, and shows how they can be extended past vigintillion.
Traditional British usage assigned new names for each power of one million (the long scale): 1,000,000 = 1 million; 1,000,0002 = 1 billion; 1,000,0003 = 1 trillion; and so on. It was adapted from French usage, and is similar to the system that was documented or invented by Chuquet.
Traditional American usage (which was also adapted from French usage but at a later date), Canadian, and modern British usage assign new names for each power of one thousand (the short scale.) Thus, a billion is 1000 × 10002 = 109; a trillion is 1000 × 10003 = 1012; and so forth. Due to its dominance in the financial world (and by the US dollar), this was adopted for official United Nations documents.
Traditional French usage has varied; in 1948, France, which had originally popularized the short scale worldwide, reverted to the long scale.
The term milliard is unambiguous and always means 109. It is seldom seen in American usage and rarely in British usage, but frequently in continental European usage. The term is sometimes attributed to French mathematician Jacques Peletier du Mans circa 1550 (for this reason, the long scale is also known as the Chuquet-Peletier system), but the Oxford English Dictionary states that the term derives from post-Classical Latin term milliartum, which became milliare and then milliart and finally our modern term.
Concerning names ending in -illiard for numbers 106n+3, milliard is certainly in widespread use in languages other than English, but the degree of actual use of the larger terms is questionable. The terms «Milliarde» in German, «miljard» in Dutch, «milyar» in Turkish, and «миллиард,» milliard (transliterated) in Russian, are standard usage when discussing financial topics.
For additional details, see billion and long and short scale.
The naming procedure for large numbers is based on taking the number n occurring in 103n+3 (short scale) or 106n (long scale) and concatenating Latin roots for its units, tens, and hundreds place, together with the suffix -illion. In this way, numbers up to 103·999+3 = 103000 (short scale) or 106·999 = 105994 (long scale) may be named. The choice of roots and the concatenation procedure is that of the standard dictionary numbers if n is 9 or smaller. For larger n (between 10 and 999), prefixes can be constructed based on a system described by Conway and Guy.[15] Today, sexdecillion and novemdecillion are standard dictionary numbers and, using the same reasoning as Conway and Guy did for the numbers up to nonillion, could probably be used to form acceptable prefixes. The Conway–Guy system for forming prefixes:
Units | Tens | Hundreds | |
---|---|---|---|
1 | Un | N Deci | NX Centi |
2 | Duo | MS Viginti | N Ducenti |
3 | Tre (*) | NS Triginta | NS Trecenti |
4 | Quattuor | NS Quadraginta | NS Quadringenti |
5 | Quinqua | NS Quinquaginta | NS Quingenti |
6 | Se (*) | N Sexaginta | N Sescenti |
7 | Septe (*) | N Septuaginta | N Septingenti |
8 | Octo | MX Octoginta | MX Octingenti |
9 | Nove (*) | Nonaginta | Nongenti |
- (*) ^ When preceding a component marked S or X, «tre» changes to «tres» and «se» to «ses» or «sex»; similarly, when preceding a component marked M or N, «septe» and «nove» change to «septem» and «novem» or «septen» and «noven».
Since the system of using Latin prefixes will become ambiguous for numbers with exponents of a size which the Romans rarely counted to, like 106,000,258, Conway and Guy co-devised with Allan Wechsler the following set of consistent conventions that permit, in principle, the extension of this system indefinitely to provide English short-scale names for any integer whatsoever.[15] The name of a number 103n+3, where n is greater than or equal to 1000, is formed by concatenating the names of the numbers of the form 103m+3, where m represents each group of comma-separated digits of n, with each but the last «-illion» trimmed to «-illi-«, or, in the case of m = 0, either «-nilli-» or «-nillion».[15] For example, 103,000,012, the 1,000,003rd «-illion» number, equals one «millinillitrillion»; 1033,002,010,111, the 11,000,670,036th «-illion» number, equals one «undecillinilliseptuagintasescentillisestrigintillion»; and 1029,629,629,633, the 9,876,543,210th «-illion» number, equals one «nonilliseseptuagintaoctingentillitresquadragintaquingentillideciducentillion».[15]
The following table shows number names generated by the system described by Conway and Guy for the short and long scales.[16]
Base -illion (short scale) |
Base -illion (long scale) |
Value | US, Canada and modern British (short scale) |
Traditional British (long scale) |
Traditional European (Peletier) (long scale) |
SI Symbol |
SI Prefix |
---|---|---|---|---|---|---|---|
1 | 1 | 106 | Million | Million | Million | M | Mega- |
2 | 1 | 109 | Billion | Thousand million | Milliard | G | Giga- |
3 | 2 | 1012 | Trillion | Billion | Billion | T | Tera- |
4 | 2 | 1015 | Quadrillion | Thousand billion | Billiard | P | Peta- |
5 | 3 | 1018 | Quintillion | Trillion | Trillion | E | Exa- |
6 | 3 | 1021 | Sextillion | Thousand trillion | Trilliard | Z | Zetta- |
7 | 4 | 1024 | Septillion | Quadrillion | Quadrillion | Y | Yotta- |
8 | 4 | 1027 | Octillion | Thousand quadrillion | Quadrilliard | R | Ronna- |
9 | 5 | 1030 | Nonillion | Quintillion | Quintillion | Q | Quetta- |
10 | 5 | 1033 | Decillion | Thousand quintillion | Quintilliard | ||
11 | 6 | 1036 | Undecillion | Sextillion | Sextillion | ||
12 | 6 | 1039 | Duodecillion | Thousand sextillion | Sextilliard | ||
13 | 7 | 1042 | Tredecillion | Septillion | Septillion | ||
14 | 7 | 1045 | Quattuordecillion | Thousand septillion | Septilliard | ||
15 | 8 | 1048 | Quindecillion | Octillion | Octillion | ||
16 | 8 | 1051 | Sedecillion | Thousand octillion | Octilliard | ||
17 | 9 | 1054 | Septendecillion | Nonillion | Nonillion | ||
18 | 9 | 1057 | Octodecillion | Thousand nonillion | Nonilliard | ||
19 | 10 | 1060 | Novendecillion | Decillion | Decillion | ||
20 | 10 | 1063 | Vigintillion | Thousand decillion | Decilliard | ||
21 | 11 | 1066 | Unvigintillion | Undecillion | Undecillion | ||
22 | 11 | 1069 | Duovigintillion | Thousand undecillion | Undecilliard | ||
23 | 12 | 1072 | Tresvigintillion | Duodecillion | Duodecillion | ||
24 | 12 | 1075 | Quattuorvigintillion | Thousand duodecillion | Duodecilliard | ||
25 | 13 | 1078 | Quinvigintillion | Tredecillion | Tredecillion | ||
26 | 13 | 1081 | Sesvigintillion | Thousand tredecillion | Tredecilliard | ||
27 | 14 | 1084 | Septemvigintillion | Quattuordecillion | Quattuordecillion | ||
28 | 14 | 1087 | Octovigintillion | Thousand quattuordecillion | Quattuordecilliard | ||
29 | 15 | 1090 | Novemvigintillion | Quindecillion | Quindecillion | ||
30 | 15 | 1093 | Trigintillion | Thousand quindecillion | Quindecilliard | ||
31 | 16 | 1096 | Untrigintillion | Sedecillion | Sedecillion | ||
32 | 16 | 1099 | Duotrigintillion | Thousand sedecillion | Sedecilliard | ||
33 | 17 | 10102 | Trestrigintillion | Septendecillion | Septendecillion | ||
34 | 17 | 10105 | Quattuortrigintillion | Thousand septendecillion | Septendecilliard | ||
35 | 18 | 10108 | Quintrigintillion | Octodecillion | Octodecillion | ||
36 | 18 | 10111 | Sestrigintillion | Thousand octodecillion | Octodecilliard | ||
37 | 19 | 10114 | Septentrigintillion | Novendecillion | Novendecillion | ||
38 | 19 | 10117 | Octotrigintillion | Thousand novendecillion | Novendecilliard | ||
39 | 20 | 10120 | Noventrigintillion | Vigintillion | Vigintillion | ||
40 | 20 | 10123 | Quadragintillion | Thousand vigintillion | Vigintilliard | ||
50 | 25 | 10153 | Quinquagintillion | Thousand quinvigintillion | Quinvigintilliard | ||
60 | 30 | 10183 | Sexagintillion | Thousand trigintillion | Trigintilliard | ||
70 | 35 | 10213 | Septuagintillion | Thousand quintrigintillion | Quintrigintilliard | ||
80 | 40 | 10243 | Octogintillion | Thousand quadragintillion | Quadragintilliard | ||
90 | 45 | 10273 | Nonagintillion | Thousand quinquadragintillion | Quinquadragintilliard | ||
100 | 50 | 10303 | Centillion | Thousand quinquagintillion | Quinquagintilliard | ||
101 | 51 | 10306 | Uncentillion | Unquinquagintillion | Unquinquagintillion | ||
110 | 55 | 10333 | Decicentillion | Thousand quinquinquagintillion | Quinquinquagintilliard | ||
111 | 56 | 10336 | Undecicentillion | Sesquinquagintillion | Sesquinquagintillion | ||
120 | 60 | 10363 | Viginticentillion | Thousand sexagintillion | Sexagintilliard | ||
121 | 61 | 10366 | Unviginticentillion | Unsexagintillion | Unsexagintillion | ||
130 | 65 | 10393 | Trigintacentillion | Thousand quinsexagintillion | Quinsexagintilliard | ||
140 | 70 | 10423 | Quadragintacentillion | Thousand septuagintillion | Septuagintilliard | ||
150 | 75 | 10453 | Quinquagintacentillion | Thousand quinseptuagintillion | Quinseptuagintilliard | ||
160 | 80 | 10483 | Sexagintacentillion | Thousand octogintillion | Octogintilliard | ||
170 | 85 | 10513 | Septuagintacentillion | Thousand quinoctogintillion | Quinoctogintilliard | ||
180 | 90 | 10543 | Octogintacentillion | Thousand nonagintillion | Nonagintilliard | ||
190 | 95 | 10573 | Nonagintacentillion | Thousand quinnonagintillion | Quinnonagintilliard | ||
200 | 100 | 10603 | Ducentillion | Thousand centillion | Centilliard | ||
300 | 150 | 10903 | Trecentillion | Thousand quinquagintacentillion | Quinquagintacentilliard | ||
400 | 200 | 101203 | Quadringentillion | Thousand ducentillion | Ducentilliard | ||
500 | 250 | 101503 | Quingentillion | Thousand quinquagintaducentillion | Quinquagintaducentilliard | ||
600 | 300 | 101803 | Sescentillion | Thousand trecentillion | Trecentilliard | ||
700 | 350 | 102103 | Septingentillion | Thousand quinquagintatrecentillion | Quinquagintatrecentilliard | ||
800 | 400 | 102403 | Octingentillion | Thousand quadringentillion | Quadringentilliard | ||
900 | 450 | 102703 | Nongentillion | Thousand quinquagintaquadringentillion | Quinquagintaquadringentilliard | ||
1000 | 500 | 103003 | Millillion (alt. millinillion)[17] | Thousand quingentillion | Quingentilliard |
Value | Name | Equivalent | ||
---|---|---|---|---|
US, Canadian and modern British (short scale) |
Traditional British (long scale) |
Traditional European (Peletier) (long scale) |
||
10100 | Googol | Ten duotrigintillion | Ten thousand sedecillion | Ten sedecilliard |
1010100 | Googolplex | [1] Ten trillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentilliduotrigintatrecentillion | [2] Ten thousand millisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillion | [2] Ten millisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentillisesexagintasescentilliard |
- ^[1] Googolplex’s short scale name is derived from it equal to ten of the 3,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,332nd «-illion»s (This is the value of n when 10 X 10(3n + 3) = 1010100)
- ^[2] Googolplex’s long scale name (both traditional British and traditional European) is derived from it being equal to ten thousand of the 1,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666th «-illion»s (This is the value of n when 10,000 X 106n = 1010100).
Binary prefixes
The International System of Quantities (ISQ) defines a series of prefixes denoting integer powers of 1024 between 10241 and 10248.[18]
Power | Value | ISQ symbol |
ISQ prefix |
---|---|---|---|
1 | 10241 | Ki | Kibi- |
2 | 10242 | Mi | Mebi- |
3 | 10243 | Gi | Gibi- |
4 | 10244 | Ti | Tebi- |
5 | 10245 | Pi | Pebi- |
6 | 10246 | Ei | Exbi- |
7 | 10247 | Zi | Zebi- |
8 | 10248 | Yi | Yobi- |
Other large numbers used in mathematics, physics and chemistry
- Avogadro number
- Graham’s number
- Skewes’ number
- Steinhaus–Moser notation
- TREE(3)
- Rayo’s number
See also
- -yllion
- Asaṃkhyeya
- Chinese numerals
- History of large numbers
- Indefinite and fictitious numbers
- Indian numbering system
- Knuth’s up-arrow notation
- Law of large numbers
- List of numbers
- Long and short scale
- Metric prefix
- Names of small numbers
- Number names
- Number prefix
- Orders of magnitude
- Orders of magnitude (data)
- Orders of magnitude (numbers)
- Power of 10
References
- ^
Bellos, Alex (2011). Alex’s Adventures in Numberland. A&C Black. p. 114. ISBN 978-1-4088-0959-4. - ^
The American Heritage Dictionary of the English Language (4th ed.). Houghton Mifflin. 2000. ISBN 0-395-82517-2. - ^
«Collins English Dictionary». HarperCollins. - ^
«Cambridge Dictionaries Online». Cambridge University Press. - ^
The Oxford English Dictionary (2nd ed.). Clarendon Press. 1991. ISBN 0-19-861186-2. - ^
«Oxford English Dictionary». Oxford University Press. - ^
The Random House Dictionary of the English Language (2nd ed.). Random House. 1987. - ^
Brown, Lesley; Little, William (1993). The New Shorter Oxford English Dictionary. Oxford University Press. ISBN 0198612710. - ^
Webster, Noah (1981). Webster’s Third New International Dictionary of the English Language, Unabridged. Merriam-Webster. ISBN 0877792011. - ^
Rowlett, Russ. «How Many? A Dictionary of Units of Measures». Russ Rowlett and the University of North Carolina at Chapel Hill. Archived from the original on 1 March 2000. Retrieved 25 September 2022. - ^
Emerson, Oliver Farrar (1894). The History of the English Language. Macmillan and Co. p. 316. - ^
«Entry for centillion in dictionary.com». dictionary.com. Retrieved 25 September 2022. - ^
«Zimbabwe rolls out Z$100tr note». BBC News. 16 January 2009. Retrieved 25 September 2022. - ^
Kasner, Edward; Newman, James (1940). Mathematics and the Imagination. Simon and Schuster. ISBN 0-486-41703-4. - ^ a b c d e f
Conway, J. H.; Guy, R. K. (1998). The Book of Numbers. Springer Science & Business Media. pp. 15–16. ISBN 0-387-97993-X. - ^ Fish. «Conway’s illion converter». Retrieved 1 March 2023.
- ^
Stewart, Ian (2017). Infinity: A Very Short Introduction. Oxford University Press. p. 20. ISBN 978-0-19-875523-4. - ^
«IEC 80000-13:2008». International Organization for Standardization. Retrieved 25 September 2022.
Don’t abbreviate the word million. Spell it out.
Many people want to abbreviate million, but it opens the door to confusion.
For example, I asked Google for guidance on how to abbreviate million here. As you can see, that got me pages full of conflicting search results.
Abbreviation for Million
When business people read reports and recruiters read resumes, it’s common to see this — $1M.
While recruiters love to see numbers on resumes, they also like them to be accurate (more here) and make sense.
When they see $1M, many readers have no idea if the writer means $1,000 or $1 million. That’s a considerable difference ($999,000, to be exact).
Let’s say you’re talking about sales growth of $1 million. If you use $1M, some of your readers might think sales grew $1,000 instead of $1 million. You go from being a hero to an underperformer without knowing it.
Numbers produce anxiety and confusion in many people. Help them by making your quantifications crystal clear.
If you’re talking millions, use the word — $1 million.
If you’re working on your resume and are desperate for space, use $1MM. It’s understood that “MM” means million. But no, wrong! See the comments below. “MM” won’t work for UK readers. It can mean “billion” there.
ChatGPT likes M, but also suggests mil, MM, and mrd. As you can see, confusion reigns. In one iteration I ran, it acknowledged that “million” provides the most clarity.
Abbreviation for Thousand
If you’re talking thousands, use the number: $1,000.
A single “M” can mean either thousand or million, so that doesn’t work.
Again, if you’re desperate for space, use $1K for $1,000. Most people understand that “K” means thousand. If they don’t, they can Google it and get a straight answer (I checked).
But why use an abbreviation your readers have to Google?
Abbreviation for Billion
Again, don’t.
Spell it — $250 billion.
Examples
Click here to find samples that show you how to present large numbers on your resume.
More
Read the comments below for more information, plus global insights, on how to abbreviate thousand, million, and billion.
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In English, a “billion” is 1 000 000 000 (a thousand million).
This has always been the case in US English.
In British English, in the past the word “billion” meant a million million. If we wanted to refer to a thousand million, we simply said “thousand million” or more rarely “milliard”. But in 1974 we officially adopted the US practice of using “billion” to mean a thousand million.
The word “milliard” has since gone out of use in British English. It never existed in US English.
Much of the confusion over the usage of these words derives from variants of the word “milliard” remaining in common usage (and meaning a thousand million) in other European languages, e.g. Spanish millardo, French milliard, German milliarde, Polish miliard and Russian миллиард.
Remember these words translate into “billion”. And there is no longer any distinction between British and US usage.
For more information see http://en.wikipedia.org/wiki/Long_and_short_scales
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