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How big are factorials?

99 points · 43 comments · ibobev

  1. brudgers · · focus · HN ↗
    Factorial (n) for n > 24 is greater than 10^n.
    1. saalweachter · · focus · HN ↗
      24! is approximately Avogadro's number (about a 3% difference).
      1. smcin · · focus · HN ↗
        inverse Gamma function of Avogadro's number (6.02 × 10²³) is ~ 24.99056
        1. saalweachter · · focus · HN ↗
          Sure, but "23.99067408! is Avogadro's number" is both harder to remember and less cool than "24! is almost Avogadro's number".
          1. smcin · · focus · HN ↗
            Sure. I wasn't disagreeing with you; just curious how close the coincidence was.
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