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Big Number Calculator

Exact arithmetic on very large or very precise numbers: + − × ÷, powers, square roots, factorials, mod, GCD and LCM.

Change the values and press Calculate to work out your own figures.

Enter X (and Y), choose an operation and the decimal places.

About xA whole number, decimal or E-notation (2.5e30).
About operationWhat to work out.
About decimal placesDigits after the decimal point when the answer isn't whole.
About yNot used by √X, X² and X!.
Result
Result
805000000000000000000000000000000000000
Digits before the decimal point
39

The result has 39 digits before the decimal point.

Show the working
  1. X × Y

How to use it

Enter X (and Y), choose an operation and the decimal places.

Number boxes accept whole numbers, decimals, fractions (3/4), powers (2^10), roots (sqrt(2)) and the constants pi and e. Show the working lists the steps.

Key facts

Exact integer arithmetic; X ÷ Y and √X rounded to the chosen decimals

Names of big numbers

10⁶ million, 10⁹ billion, 10¹² trillion … 10¹⁰⁰ is a googol.

Questions

How big can numbers be?

Results up to 100,000 digits; 10,000! has 35,660.

Is X mod Y ever negative?

No: the remainder is from 0 up to |Y| − 1.

Formulas

Exact integer arithmetic; X ÷ Y and √X rounded to the chosen decimals

Sources

Limitations

  • Expressions up to 500 characters; matrices up to 10 × 10.
  • Big-number results up to 100,000 digits; factorials up to 10,000!.
  • Numbers in words up to 10^102 (short scale).

Formula version 0.1.0Reviewed