What is a googolplex and what is it used for?
googleplex is a huge number
How huge?
\[10^{10^{100}}\]
ಠ_ಠ
its a huge number, and you know there is another number thats has a similar name
its called googol,
so a googol is 10^100?
we can even write googolplex as: \[\huge 10^{googol}\]
yes
Cool
You should be able to write it 10^10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
\[\huge {\color{Golden}{GOOGOLPLEX\:IS\:\:A\:HUGE\:NUMBER}}\]
WHY WOULD YOU NEED IT?
Ah
it's not used for anything.
there is no quantity in the universe that is usefully measured with a googleplex
well there you go
The total number of atoms in the universe is only 10^80
Googleplex is such a big number that you literally couldn't even write the number down, even if you turned every atom in the universe into a 0. A googleplex has 10^100 zeros in it, but there are only 10^80 atoms to "write with".
Woah, so a googleplex is bigger that the observable universe?
than*
the number itself, if written down in decimal form without exponentiation, is bigger than the universe
let alone the quantity that the number represents!
i mean, the smaller number, a googol, which is "only" 10^100, can at least be written down (10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000), even though the number it represents is larger than the number of atoms in the universe. a googol plex is a number that has a googol zeroes after it -- that's a number you can't even write down!
Mindblowing!
So there arent enough atoms in the world to write a googleplex down?
right
So... big...
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