2,147,483,647
2,147,483,647 is a prime, odd.
2,147,483,647 is (2^{31} - 1), the largest signed 32-bit integer and a Mersenne prime ((M_{31})). It is the cause of countless integer-overflow bugs in software.
Properties
- Parity
- Odd
- Digit count
- 10
- Digit sum
- 46
- Digital root
- 1
- Palindrome
- No
- Divisor count
- 2
- σ(n) — sum of divisors
- 2,147,483,648
Primality
2,147,483,647 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Representations
- In words
- two billion one hundred forty-seven million four hundred eighty-three thousand six hundred forty-seven
- Ordinal
- 2147483647th
- Binary
- 1111111111111111111111111111111
- Octal
- 17777777777
- Hexadecimal
- 7FFFFFFF
Also seen as
Adjacent primes:
- Previous prime: 2,147,483,629 (gap of 18)
- Next prime: 2,147,483,659 (gap of 12)
As an unsigned 32-bit integer, this is the IPv4 address 127.255.255.255.
Loopback (127.0.0.0/8).
Interpreted as seconds since the Unix epoch (Jan 1 1970 UTC), this is 2038-01-19 03:14:07 UTC (Tuesday).
Many software systems represent time this way; very common in logs and APIs.
This number has the shape of a NANP phone number (North American Numbering Plan — US, Canada, and several Caribbean countries).
Whether this is a real phone number depends on whether the NPA and NXX are currently assigned.