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:
“[The Declaration of Independence] meant to set up a standard maxim for free society, which should be familiar to all, and revered by all; constantly looked to, constantly labored for, and even though never perfectly attained, constantly approximated, and thereby constantly spreading and deepening its influence, and augmenting the happiness and value of life to all people of all colors everywhere.”
—Abraham Lincoln (1809–1865)
“If someday I make a dictionary of definitions wanting single words to head them, a cherished entry will be “To abridge, expand, or otherwise alter or cause to be altered for the sake of belated improvement, one’s own writings in translation.””
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“Our religion vulgarly stands on numbers of believers. Whenever the appeal is made—no matter how indirectly—to numbers, proclamation is then and there made, that religion is not. He that finds God a sweet, enveloping presence, who shall dare to come in?”
—Ralph Waldo Emerson (1803–1882)