13688978313314304

13,688,978,313,314,304 is an even composite number composed of eight prime numbers multiplied together.

What does the number 13688978313314304 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 5472 divisors.

13688978313314304 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five thousand, four hundred seventy-two divisors.

Prime factorization of 13688978313314304:

218 × 32 × 7 × 11 × 132 × 19 × 31 × 757

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 13 × 19 × 31 × 757)

See below for interesting mathematical facts about the number 13688978313314304 from the Numbermatics database.


Names of 13688978313314304

  • Cardinal: 13688978313314304 can be written as Thirteen quadrillion, six hundred eighty-eight trillion, nine hundred seventy-eight billion, three hundred thirteen million, three hundred fourteen thousand, three hundred four.

Scientific notation

  • Scientific notation: 1.3688978313314304 × 1016

Factors of 13688978313314304

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 27
  • Sum of prime factors: 843

Divisors of 13688978313314304

Bases of 13688978313314304

  • Binary: 1100001010001000001101101000011011010000000000000000002
  • Hexadecimal: 0x30A20DA1B40000
  • Base-36: 3QSC5TKSU80

Squares and roots of 13688978313314304

  • 13688978313314304 squared (136889783133143042) is 187388127262389327248477091004416
  • 13688978313314304 cubed (136889783133143043) is 2565152010267428399218140876148283354841259966464
  • The square root of 13688978313314304 is 116999907.3218192939
  • The cube root of 13688978313314304 is 239216.0666551475

Scales and comparisons

How big is 13688978313314304?
  • 13,688,978,313,314,304 seconds is equal to 435,267,167 years, 29 weeks, 5 days, 16 hours, 38 minutes, 24 seconds.
  • To count from 1 to 13,688,978,313,314,304 would take you about one billion, three hundred five million, eight hundred one thousand, five hundred two 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 13688978313314304 cubic inches would be around 19934.7 feet tall.

Recreational maths with 13688978313314304

  • 13688978313314304 backwards is 40341331387988631
  • 13688978313314304 is a Harshad number.
  • The number of decimal digits it has is: 17
  • The sum of 13688978313314304's digits is 72
  • More coming soon!

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"Number 13688978313314304 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.

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Numbermatics. (2024). Number 13688978313314304 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/13688978313314304/

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Numbermatics. 2024. "Number 13688978313314304 - Facts about the integer". https://numbermatics.com/n/13688978313314304/

The information we have on file for 13688978313314304 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!

Keywords: Divisors of 13688978313314304, math, Factors of 13688978313314304, curriculum, school, college, exams, university, Prime factorization of 13688978313314304, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred eighty-eight trillion, nine hundred seventy-eight billion, three hundred thirteen million, three hundred fourteen thousand, three hundred four.

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