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- combinatorics - Help me put these enormous numbers in order: googol . . .
Since googol bang bang is the largest two-operand name using only plex and bang and googol plex plex plex is the smallest three-operand name, this means that the two-operand names using only plex and bang will all come before all the three-operand names googol plex bang bang $\lt$ googol bang plex plex
- What is larger? Grahams number or Googolplexian?
A Googol is defined as $10^{100}$ A Googolplex is defined as $10^{\text{Googol}}$ A Googolplexian is defined as $10^{\text{Googolplex}}$ Intuitively, it seems to me that Graham's number is larger (maybe because of it's complex definition) Can anybody prove this?
- Is Rayos number really that big? - Mathematics Stack Exchange
the smallest positive integer bigger than any finite positive integer named by an expression in the language of first order set theory with a googol symbols or less So while there are only approximately $(10^{100})^{(10^{100})}$ possible expressions, and only a very small fraction of them actually name a number, Rayo's number can be very large
- number theory - Comparing $\large 3^{3^{3^3}}$, googol, googolplex . . .
How to show that $\\large 3^{3^{3^3}}$ is larger than a googol ($\\large 10^{100}$) but smaller than googoplex ($\\large 10^{10^{100}}$) Thanks much in advance!!!
- How to Calculate the Disk Space Required to Store Googolplex?
$\begingroup$ @ThudanBlunder: As far as I recall, it was "calculating" a googolplex, which it really did by "outputting" a googol of zeros (which it then cautioned should not be sent to a display as they are much slower) $\endgroup$ –
- Which is bigger: a googolplex or - Mathematics Stack Exchange
Therefore $10^{100!}\gt10^\text{googol}=\text{googolplex}$ (Remark: The " $\times$ " symbol's role here is purely visual, to put a little extra separation between things that are treated differently The answer, in general, is very similar to Alberto Saracco's )
- tetration - What number tetrated by itself equals a googol . . .
$\begingroup$ Well, $3^{3^3}$ has $12$ digits and is much smaller than googol, where $4^{4^{4^4}}$ has $8 072\cdot 10^{153}$ digits, and is thus much bigger than googolplex $\endgroup$ – Milo Brandt
- What is the Googol root of a Googolplex? [closed]
What is $\sqrt[\text{Googol}]{\text{Googolplex}}$? I know that's the same as $\sqrt[10^{100}]{10^{10^{100}}}$ but I still wanna know, what does this equal? (I made this question out of idol curiosity, the only reason I did not solve this right-away is I was not thinking my own question through, after doing that I came up w the answer (Below))
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