4,294,967,291
4,294,967,291 is the largest prime below 2³².
- Odd
- Prime
Where 4,294,967,291 fits
Why 4,294,967,291 is special
Primes just under a power of two are useful in hashing and modular arithmetic, where a prime modulus avoids the clustering that a power-of-two modulus produces, and staying under the word size keeps the arithmetic in a single register.
4,294,967,291 is part of
Factors & digit properties
- Divisors (2)
- 1, 4294967291
- Prime factorisation
- 4294967291
- Digit sum
- 53
- Digital root
- 8
Representations
- Decimal
- 4294967291
- Scientific notation
- 4.295 × 10^9
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
Binary (base 2) as modelled here goes up to 1,000,000,000.
Octal
Octal (base 8) as modelled here goes up to 1,000,000,000.
Hexadecimal
Hexadecimal (base 16) as modelled here goes up to 1,000,000,000.
Other mathematical patterns
- Deficient number
- Sophie Germain prime
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.