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Superfactorial Calculator

Work out superfactorial instantly with clear inputs, formula shown and shareable results.

About Superfactorial Calculator

Sloane and Plouffe's superfactorial multiplies together all the factorials up to n: sf(n) = 1! × 2! × … × n!. It grows far faster than the factorial itself.

Formula

Superfactorial

sf(n) = Πₖ₌₁ⁿ k! = 1! × 2! × … × n!

Worked example

With the default values below, Superfactorial Calculator returns Superfactorial sf(n) of 34,560. Change any input above and every figure here is recalculated in your browser.

Inputs used

Value naccepts 0–25
5
Compare with n =accepts 0–25
6

Results

Superfactorial sf(n)
34,560
Comparison superfactorial
24,883,200
Ordinary n!
120
Digits in the result
5

Step by step

  1. 1Values used
  2. 2Superfactorial
  3. 3Superfactorial sf(n)= 34,560
  4. 4Comparison superfactorial= 24,883,200
  5. 5Ordinary n!= 120
  6. 6Digits in the result= 5

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to whole numbers, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What is sf(5)?

1 × 2 × 6 × 24 × 120 = 34560.

Is there more than one definition?

Yes. Pickover's superfactorial is a tower of factorials and grows unimaginably faster; this calculator uses the product definition.

Related Calculators

Superfactorial Calculator – Calculate Superfactorial sf(n)