Standard Dictionary Numbers
| Name | Short scale (U.S. and modern British) |
Long scale (continental Europe, older British) |
Authorities | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| AHD4 | CED | COD | OED2 | OEDnew | RHD2 | SOED3 | W3 | UM | |||
| Million | 106 | 106 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
| Milliard | 109 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
| Billion | 109 | 1012 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
| Trillion | 1012 | 1018 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
| Quadrillion | 1015 | 1024 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| Quintillion | 1018 | 1030 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| Sextillion | 1021 | 1036 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| Septillion | 1024 | 1042 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| Octillion | 1027 | 1048 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| Nonillion | 1030 | 1054 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| Decillion | 1033 | 1060 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| Undecillion | 1036 | 1066 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
| Duodecillion | 1039 | 1072 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
| Tredecillion | 1042 | 1078 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
| Quattuordecillion | 1045 | 1084 | ✓ | ✓ | ✓ | ✓ | |||||
| Quindecillion (Quinquadecillion) | 1048 | 1090 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
| Sexdecillion (Sedecillion) | 1051 | 1096 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
| Septendecillion | 1054 | 10102 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
| Octodecillion | 1057 | 10108 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
| Novemdecillion (Novendecillion) | 1060 | 10114 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
| Vigintillion | 1063 | 10120 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| Centillion | 10303 | 10600 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |||
| Name | Value | Authorities | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| AHD4 | CED | COD | OED2 | OEDnew | RHD2 | SOED3 | W3 | UM | ||
| Googol | 10100 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| Googolplex | 10Googol | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
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. Centillion 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.).
All of the dictionaries included googol and googolplex, generally crediting it to the Kasner and Newman book and to Kasner's nephew. 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".
Read more about this topic: Names Of Large Numbers
Famous quotes containing the words standard, dictionary and/or numbers:
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—Willard Van Orman Quine (b. 1908)
“The reputation of a man is like his shadow; it sometimes follows and sometimes precedes him, sometimes longer and sometimes shorter than his natural size.”
—French Proverb. Quoted in Dictionary of Similes, ed. Frank J. Wilstach (1916)
“The only phenomenon with which writing has always been concomitant is the creation of cities and empires, that is the integration of large numbers of individuals into a political system, and their grading into castes or classes.... It seems to have favored the exploitation of human beings rather than their enlightenment.”
—Claude Lévi-Strauss (b. 1908)