827314314008401

827,314,314,008,401 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 827314314008401 look like?

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

827314314008401 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 827314314008401:

827314314008401

See below for interesting mathematical facts about the number 827314314008401 from the Numbermatics database.


Names of 827314314008401

  • Cardinal: 827314314008401 can be written as Eight hundred twenty-seven trillion, three hundred fourteen billion, three hundred fourteen million, eight thousand, four hundred one.

Scientific notation

  • Scientific notation: 8.27314314008401 × 1014

Factors of 827314314008401

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 827314314008401

Divisors of 827314314008401

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 827314314008402
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 827314314008401 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 827314314008400

Bases of 827314314008401

  • Binary: 101111000001110000000111111100110111010111010100012
  • Hexadecimal: 0x2F0701FCDD751
  • Base-36: 859AY5XRO1

Squares and roots of 827314314008401

  • 827314314008401 squared (8273143140084012) is 684448974163191131103898576801
  • 827314314008401 cubed (8273143140084013) is 566254433533574250512050882484099481457705201
  • The square root of 827314314008401 is 28763072.0544311991
  • The cube root of 827314314008401 is 93876.4906483543

Scales and comparisons

How big is 827314314008401?
  • 827,314,314,008,401 seconds is equal to 26,306,036 years, 6 weeks, 6 days, 21 hours, 1 second.
  • To count from 1 to 827,314,314,008,401 would take you about sixty-five million, seven hundred sixty-five thousand and ninety 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 827314314008401 cubic inches would be around 7823 feet tall.

Recreational maths with 827314314008401

  • 827314314008401 backwards is 104800413413728
  • The number of decimal digits it has is: 15
  • The sum of 827314314008401's digits is 46
  • More coming soon!

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"Number 827314314008401 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.

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Numbermatics. (2024). Number 827314314008401 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/827314314008401/

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Numbermatics. 2024. "Number 827314314008401 - Facts about the integer". https://numbermatics.com/n/827314314008401/

The information we have on file for 827314314008401 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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