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# googolplex

*googolplex* is $10^{{10^{{100}}}}$; that is, 10 raised to the googol-th power. This can also be viewed as a one followed by a googol of zeros at its right. A googoplex is much larger than a googol. In fact, since a googolplex has
a googol number of zeros in its decimal representation, a googoplex has more digits than there are atoms in our universe. Thus, even if all matter in the universe were at one’s disposal, it would not be possible to write down the decimal representation of a googolplex.

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Googol

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## Recent Activity

Apr 15

new question: Prove a formula is part of the Gentzen System by LadyAnne

Mar 30

new question: A problem about Euler's totient function by mbhatia

new problem: Problem: Show that phi(a^n-1), (where phi is the Euler totient function), is divisible by n for any natural number n and any natural number a >1. by mbhatia

new problem: MSC browser just displays "No articles found. Up to ." by jaimeglz

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Mar 19

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Mar 7

new image: plot W(t) = P(waiting time <= t) (2nd attempt) by robert_dodier

new image: expected waiting time by robert_dodier

new image: plot W(t) = P(waiting time <= t) by robert_dodier

new question: Prove a formula is part of the Gentzen System by LadyAnne

Mar 30

new question: A problem about Euler's totient function by mbhatia

new problem: Problem: Show that phi(a^n-1), (where phi is the Euler totient function), is divisible by n for any natural number n and any natural number a >1. by mbhatia

new problem: MSC browser just displays "No articles found. Up to ." by jaimeglz

Mar 26

new correction: Misspelled name by DavidSteinsaltz

Mar 21

new correction: underline-typo by Filipe

Mar 19

new correction: cocycle pro cocyle by pahio

Mar 7

new image: plot W(t) = P(waiting time <= t) (2nd attempt) by robert_dodier

new image: expected waiting time by robert_dodier

new image: plot W(t) = P(waiting time <= t) by robert_dodier

## Comments

## Problem question re decimal representation of googoplex

I can see that following the rule 10^x can also be represented by 1 followed by x zeros, a googolplex can be represented by 1 followed by a googol zeros. But a googol zeros can be written out as 1 followed by 100 zeros,so why is a googolplex impossible to write out in decimal representation

^{}?## Re: Problem question re decimal representation of googoplex

> But a googol zeros can be written out, so why is a

> googolplex impossible to write out in decimal representation?

It depends in what sense you mean "impossible". In a theoretical sense, of course one can write out a google zeros. In a practical sense, it is impossible since there isn't enough paper or ink or time available in our universe to carry out the task of writing that many zeros!