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2,147,483,647 (number)

2 147 483 647 is a natural number between 2 147 483 646 and 2 147 483 648.

2 147 483 647
two billion one hundred forty-seven million
four hundred eighty three thousand six hundred and forty-seven
← 2 147 483 645 · 2 147 483 646 · 2 147 483 647 · 2 147 483 648 · 2 147 483 649 →
Factorizationsimple
Roman notationabsent
Binary111111111111111111111111111111111
Octal17777777777
Hexadecimal7FFFFFFF

In Math

2147483647=231-one{\ displaystyle 2 \, 147 \, 483 \, 647 = 2 ^ {31} -1}   - Mersenne prime [1] In 1772, Leonard Euler published evidence that the number231-one {\ displaystyle 2 ^ {31} -1}   is a prime number. This was the largest known prime number at that time . The record was surpassed only in 1867 when Fortune Landry ( Fr. Fortuné Landry ) proved the simplicity of the number 3 203 431 780 337 [2] . It is also the third double Mersenne number and the third of four known primes. The previous one is 127 , the next one is 170141183460469231731687303715884105727 .

In Computer Science

  • This is the largest number that holds a 32-bit signed integ32 signed int32 data type . Related to this is the problem of 2038 [3] .
  • This number is also related to the problem of 2038 , when the standard data type for storing time_t time will overflow on 32-bit computers.

Notes

  1. ↑ Sequence A000668 in OEIS (English)
  2. ↑ The Largest Known Prime by Year: A Brief History
  3. ↑ BBC: "The number glitch that can lead to catastrophe" // BBC, 5 May 2015 (eng.)
Source - https://ru.wikipedia.org/w/index.php?title=2_147_483_647_(number)&oldid=94314939


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Clever Geek | 2019