Gogol (number)

See also: Gogol (homonymy)

In Mathematical, the gogol is the Nombre of which the decimal representation is written with the figure a follow-up of 100 zeros ( $10^ {100}$ ).

The English version of this name (“ googol ”) was introduced in 1938 by the American mathematician Edward Kasner into its book Mathematics and the Imagination and would have been invented by its 9 year old nephew Milton Sirotta with whom Kasner would have asked to invent a Mot to indicate this number.

It is this word which is at the origin of the name of the company Google, this number having marked imagination of the founders: Google chose this term to symbolize its mission: to organize the immense volume of information available on the Web.

The gogol is roughly equal to the Factorielle of 70 (70!) and its factors first is only 2 and 5.

One at least needs 334 bits to represent this number.

Indeed $2^ {333} = 17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592$ , but one should not forget the bit necessary to represent $2^ {0}$

The gogol is not used scientifically, it is used especially for teaching of mathematics. Kasner created it in order to illustrate the difference between such a large number and the Infini. Indeed, although a gogol is enormous, quite higher than the number of Atome S in the Univers (10⁸⁰ and of dust), it is easy to write it in conventional notation, as follows:

1 gogol = 10¹⁰⁰

$10^ {gogol}$ (a figure 1 follow-up of a gogol of zeros) is named a Gogolplex.

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References

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