The following table lists names of large numbers which are found in many English dictionaries and thus have a special claim to being "real words". The "Traditional British" values shown are not used in American English and are becoming very rare in British English, but their other-language variants are dominant in many non-English-speaking areas, including continental Europe and Spanish speaking countries in Latin America.

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English also has many words, such as "zillion", used informally to mean large but unspecified amounts.

## Standard dictionary numbers

Name | Short scale (U.S., Canada and modern British) | Long scale (continental Europe, older British) | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|

Million | 10^{6} | 10^{6} | |||||||||

Milliard | 10^{9} | ||||||||||

Billion | 10^{9} | 10^{12} | |||||||||

Trillion | 10^{12} | 10^{18} | |||||||||

Quadrillion | 10^{15} | 10^{24} | |||||||||

Quintillion | 10^{18} | 10^{30} | |||||||||

Sextillion | 10^{21} | 10^{36} | |||||||||

Septillion | 10^{24} | 10^{42} | |||||||||

Octillion | 10^{27} | 10^{48} | |||||||||

Nonillion | 10^{30} | 10^{54} | |||||||||

Decillion | 10^{33} | 10^{60} | |||||||||

Undecillion | 10^{36} | 10^{66} | |||||||||

Duodecillion | 10^{39} | 10^{72} | |||||||||

Tredecillion | 10^{42} | 10^{78} | |||||||||

Quattuordecillion | 10^{45} | 10^{84} | |||||||||

Quindecillion | 10^{48} | 10^{90} | |||||||||

Sexdecillion (Sedecillion) | 10^{51} | 10^{96} | |||||||||

Septendecillion | 10^{54} | 10^{102} | |||||||||

Novemdecillion (Novendecillion) | 10^{60} | 10^{114} | |||||||||

Vigintillion | 10^{63} | 10^{120} | |||||||||

Centillion | 10^{303} | 10^{600} |

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In the list, scientific notation is used. For instance, a trillion is listed as 10^{12. }This is spoken as "ten to the twelth" and written as 1,000,000,000,000. Notice that when we write big numbers, we put a comma between every third digit.

## The googol Family

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The names *googol* and *googolplex* were introduced in Kasner and Newman's 1940 book, *Mathematics and the Imagination*, 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 actually happen if one actually 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
10^{100} Googol Kasner and Newman, dictionaries
10^{googol} = Googolplex Kasner and Newman, dictionaries

^{}
If you wish to see a googolplex written out, here's a link you can click on, http://www.googolplexwrittenout.com/ . Of course it comes in multiple volumes, each containing 1 million digits (mostly zeros) of the written out number. A googolplex is so big that if you could read 1 million volumes of 1 million digits in only a 1/1000 of a second, it would still take you MUCH longer than the age of the universe to finish.

Citations:http://en.wikipedia.org/w/index.php?title=Names_of_large_numbers&oldid=665322020
*googol*and

*googolplex*were introduced in Kasner and Newman's 1940 book,

*Mathematics and the Imagination*, 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 actually happen if one actually 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 |
---|---|---|

10^{100} | Googol | Kasner and Newman, dictionaries |

10^{googol} = | Googolplex | Kasner and Newman, dictionaries |

^{}

If you wish to see a googolplex written out, here's a link you can click on, http://www.googolplexwrittenout.com/ . Of course it comes in multiple volumes, each containing 1 million digits (mostly zeros) of the written out number. A googolplex is so big that if you could read 1 million volumes of 1 million digits in only a 1/1000 of a second, it would still take you MUCH longer than the age of the universe to finish.

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