Centillion to the power of a centillion, or a googolplex?

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Computers are good with numbers.

"what's bigger, centillition to the power of a centillion, or a googolplex?"

I am glad that Google gives me a richly sourced and well reasoned answer, linked below:

"A googolplex is vastly bigger than a centillion to the power of a centillion."

The Math

  • Centillion: In the short scale, a centillion is 10^303 (a 1 followed by 303 zeros)
  • Centillion to the power of a centillion:
    • (10^303)^(10^303) which is roughly 10^(10^305.48).
  • Googol and Googolplex:
    • A googol is 10^100
    • A googolplex is 10^googol = 10^(10^100).

Why a Googolplex Wins

  • Centillion to the centillion power is roughly 10^(a number with about 305 digits).
  • A googolplex is 10^(a number with 101 digits), which is orders of magnitude larger.

To put it in perspective, a googolplex is so large that writing out all of its zeros in decimal form would require more paper and matter than exists in the known physical universe."

Please don't outsource your thinking skills yet.

Simia
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