2147483647

2,147,483,647 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 2147483647 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

2147483647 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 2147483647:

2147483647

See below for interesting mathematical facts about the number 2147483647 from the Numbermatics database.


Names of 2147483647

  • Cardinal: 2147483647 can be written as Two billion, one hundred forty-seven million, four hundred eighty-three thousand, six hundred forty-seven.

Scientific notation

  • Scientific notation: 2.147483647 × 109

Factors of 2147483647

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 2147483647

Divisors of 2147483647

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2147483648
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 2147483647 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2147483646

Bases of 2147483647

  • Binary: 11111111111111111111111111111112
  • Hexadecimal: 0x7FFFFFFF
  • Base-36: ZIK0ZJ

Squares and roots of 2147483647

  • 2147483647 squared (21474836472) is 4611686014132420609
  • 2147483647 cubed (21474836473) is 9903520300447984150353281023
  • The square root of 2147483647 is 46340.9500010519
  • The cube root of 2147483647 is 1290.1591548923

Scales and comparisons

How big is 2147483647?
  • 2,147,483,647 seconds is equal to 68 years, 14 weeks, 5 days, 3 hours, 14 minutes, 7 seconds.
  • To count from 1 to 2,147,483,647 would take you about one hundred thirty-six years!

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 2147483647 cubic inches would be around 107.5 feet tall.

Recreational maths with 2147483647

  • 2147483647 backwards is 7463847412
  • The number of decimal digits it has is: 10
  • The sum of 2147483647's digits is 46
  • More coming soon!

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The information we have on file for 2147483647 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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