Big Number Calculator

Perform addition, subtraction, and multiplication on very large integers with exact precision using BigInt arithmetic.

Result (31 digits)

1,111,111,110,111,111,111,011,111,111,100
A123,456,789,012,345,678,901,234,567,890
OperationAddition
B987,654,321,098,765,432,109,876,543,210
Result digits31

How to Use the Big Number Calculator

  1. Enter your large integers. Type or paste any integer into the A and B fields. The calculator handles numbers with hundreds or thousands of digits. You can include commas or underscores as separators (they are stripped automatically). Negative numbers are supported: prefix with a minus sign.
  2. Select an operation. Choose addition, subtraction, or multiplication. Results are computed instantly using JavaScript BigInt, which provides exact arbitrary-precision integer arithmetic with no rounding error.
  3. Read the result. The result is displayed with comma formatting for readability, along with a digit count. For multiplication of two 30-digit numbers, you may get a 59 or 60-digit result.

Example: 123,456,789,012,345,678,901,234,567,890 multiplied by 987,654,321,098,765,432,109,876,543,210 produces a 60-digit result that no standard floating-point calculator can handle exactly.

How Big Number Arithmetic Works

Standard JavaScript numbers (float64):
  Safe integer range: -(2^53-1) to (2^53-1)
  = -9,007,199,254,740,991 to 9,007,199,254,740,991
  Beyond this range, results are rounded and inaccurate.

JavaScript BigInt:
  Arbitrary precision integers with no upper bound.
  Operations: + - * / % ** (no floating-point operations)
  All results are exact integers.

Example — standard float fails:
  9007199254740992 + 1 = 9007199254740992 (WRONG, rounds!)

Example — BigInt is exact:
  9007199254740992n + 1n = 9007199254740993n (correct)

Large multiplication example:
  A = 123,456,789 × 10^21 (30 digits)
  B = 987,654,321 × 10^21 (30 digits)
  A × B has up to 60 digits
  Every digit is computed exactly.

Addition algorithm (grade school):
  Align digits by place value, add column by column,
  carry the 1 when the sum exceeds 9.
  BigInt automates this for any number of digits.

Multiplication algorithm (schoolbook or Karatsuba):
  For very large numbers, Karatsuba reduces complexity
  from O(n²) to O(n^1.585), making billion-digit
  multiplication feasible.

Frequently Asked Questions

Standard calculators and most programming languages use 64-bit floating-point numbers (IEEE 754 double precision), which can only represent integers exactly up to 2^53 - 1 = 9,007,199,254,740,991 (about 9 quadrillion). Beyond that, the nearest representable float is used, which introduces rounding errors. For example, in JavaScript: 9007199254740992 + 1 evaluates to 9007199254740992 (unchanged). BigInt avoids this by using as many bits as needed to represent the number exactly.

Related Calculators