2,147,483,647

The number 2,147,483,647 is the eighth Mersenne prime, equal to 2³¹ − 1. It is one of only four known double Mersenne primes.

2147483647
List of numbers Integers ← 100 101 102 103 104 105 106 107 108 109
Cardinal	two billion one hundred forty-seven million four hundred eighty-three thousand six hundred forty-seven
Ordinal	2147483647th (two billion one hundred forty-seven million four hundred eighty-three thousand six hundred forty-seventh)
Factorization	prime
Prime	105,097,565th
Greek numeral	${\displaystyle {\stackrel {\kappa \alpha \delta \psi \mu \eta }{\mathrm {M} }}}$͵γχμζ´
Roman numeral	N/A
Binary	11111111111111111111111111111112
Ternary	121121222121102021013
Senary	5530320055316
Octal	177777777778
Duodecimal	4BB2308A712
Hexadecimal	7FFFFFFF16

The primality of this number was proven by Leonhard Euler, who reported the proof in a letter to Daniel Bernoulli written in 1772. Euler used trial division, improving on Pietro Cataldi's method, so that at most 372 divisions were needed. It thus improved upon the previous record-holding prime, 6,700,417, also discovered by Euler, forty years earlier. The number 2,147,483,647 remained the largest known prime until 1867.

In computing, this number is the largest value that a signed 32-bit integer field can hold.