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# Googol Variants

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Do you know what a googolplexian and a googolplexianth are? They are the largest (other than infinity) and smallest numbers in the known universe. If you don't understand, let me put it into context for you.

A googol is a one followed by 100 zeros, or in scientific notation, $$10^{100}$$.

$$googol=10^{100}$$

A googolplex is a one followed by a googol of zeros, or $$10^{googol}$$, or $$10^{10^{100}}$$.

$$googolplex=10^{googol}=10^{10^{100}}$$

A googolplexian is a one followed by a googolplex of zeros, or $$10^{googolplex}$$, or $$10^{10^{googol}}$$, or $$10^{10^{10^{100}}}$$.

$$googolplexian=10^{googolplex}=10^{10^{googol}}=10^{10^{10^{100}}}$$

So, if you still don't understand, this number is so infinitely large that is is impossibly, insanely higher than the number of atoms in the universe. Yeah, huge.

So what about a googolplexianth? Well, a googolplexianth is basically a 1 over a googolplexian.

$$\frac{1}{googolplexian}=\frac{1}{10^{googolplex}}=\frac{1}{10^{10^{googol}}}=\frac{1}{10^{10^{10^{100}}}}$$

This number is so infinitesimally small that it is impossible to comprehend physically. I would compare it to being less than the weight of the lightest thing in the universe, but even that wouldn't come close to how impossibly small this number is.

Note: This is a bit off-topic from the purpose of this site, but I've been doing some reasearch into this topic and find it fascinating, and wanted to share with some people who might be interested as well.

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Apr 19, 2018

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For a large number .....check out  "Graham's Number " here :

https://waitbutwhy.com/2014/11/1000000-grahams-number.html

Warning :  This is mind-blowing  !!!!   Apr 19, 2018
edited by CPhill  Apr 19, 2018