13985713805131290448800

13,985,713,805,131,290,448,800 is an even composite number composed of six prime numbers multiplied together.

What does the number 13985713805131290448800 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 10080 divisors.

13985713805131290448800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ten thousand and eighty divisors.

Prime factorization of 13985713805131290448800:

25 × 33 × 52 × 74 × 233 × 536

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 23 × 23 × 23 × 53 × 53 × 53 × 53 × 53 × 53)

See below for interesting mathematical facts about the number 13985713805131290448800 from the Numbermatics database.


Names of 13985713805131290448800

  • Cardinal: 13985713805131290448800 can be written as Thirteen sextillion, nine hundred eighty-five quintillion, seven hundred thirteen quadrillion, eight hundred five trillion, one hundred thirty-one billion, two hundred ninety million, four hundred forty-eight thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.39857138051312904488 × 1022

Factors of 13985713805131290448800

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 93

Divisors of 13985713805131290448800

Bases of 13985713805131290448800

  • Binary: 101111011000101010110001001011111001000111100001110100111100010011101000002
  • Hexadecimal: 0x2F62AC4BE47874F13A0
  • Base-36: 29ZKWAAA1D0TRC0

Squares and roots of 13985713805131290448800

  • 13985713805131290448800 squared (139857138051312904488002) is 195600190639039959309510848549946105421440000
  • 13985713805131290448800 cubed (139857138051312904488003) is 2735608286506733367676029257421124896013210004375792970742272000000
  • The square root of 13985713805131290448800 is 118261210061.1662541127
  • The cube root of 13985713805131290448800 is 24093221.8130453657
  • Being both a perfect square and a perfect cube, 13985713805131290448800 is also a perfect sixth number.

Scales and comparisons

How big is 13985713805131290448800?
  • 13,985,713,805,131,290,448,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 13,985,713,805,131,290,448,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13985713805131290448800 cubic inches would be around 2007768.5 feet tall.

Recreational maths with 13985713805131290448800

  • 13985713805131290448800 backwards is 00884409213150831758931
  • 13985713805131290448800 is a Harshad number.
  • The number of decimal digits it has is: 23
  • The sum of 13985713805131290448800's digits is 90
  • More coming soon!

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"Number 13985713805131290448800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.

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Numbermatics. (2024). Number 13985713805131290448800 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/13985713805131290448800/

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The information we have on file for 13985713805131290448800 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 13985713805131290448800, math, Factors of 13985713805131290448800, curriculum, school, college, exams, university, Prime factorization of 13985713805131290448800, STEM, science, technology, engineering, physics, economics, calculator, thirteen sextillion, nine hundred eighty-five quintillion, seven hundred thirteen quadrillion, eight hundred five trillion, one hundred thirty-one billion, two hundred ninety million, four hundred forty-eight thousand, eight hundred.

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