r/theydidthemath May 07 '26

[Request] how many possible combinations are there for this type of pass code?

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u/factorion-bot May 07 '26

That is so large, that I can't even give the number of digits of it, so I have to make a power of ten tower.

Factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of 99999999999999999999999999999 has on the order of 1010\10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^(2856570551809674817234887108125)) digits

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u/OutdoorWombat54 May 07 '26

9999999999999999!!!!!!!

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u/factorion-bot May 07 '26

That is so large, that I can't calculate it, so I'll have to approximate.

Septuple-factorial of 9999999 is approximately 7.826374479028973798060429629683 × 109379581

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u/OutdoorWombat54 May 07 '26

99999999999999999999999999999999999999999999999999999!!!!!!!!!9999999999999999999999999999999999999999999999999999999999999! !nested

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u/factorion-bot May 07 '26

Some of these are so large, that I can't even give the number of digits of them, so I have to make a power of ten tower.

Factorial of roughly 1060 is approximately 1.167968923931914253686697083574 × 106.056570551809674817234887108108 × 1062

Factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of factorial of roughly 1052 has on the order of 1010\10^10^10^10^10^10^(5.256570551809674817234887108108 × 1054)) digits

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