13978810993505248800

13,978,810,993,505,248,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 13978810993505248800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 7290 divisors.

13978810993505248800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven thousand, two hundred ninety divisors.

Prime factorization of 13978810993505248800:

25 × 34 × 52 × 72 × 132 × 1032 × 15672

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 103 × 103 × 1567 × 1567)

See below for interesting mathematical facts about the number 13978810993505248800 from the Numbermatics database.


Names of 13978810993505248800

  • Cardinal: 13978810993505248800 can be written as Thirteen quintillion, nine hundred seventy-eight quadrillion, eight hundred ten trillion, nine hundred ninety-three billion, five hundred five million, two hundred forty-eight thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.39788109935052488 × 1019

Factors of 13978810993505248800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 1700

Divisors of 13978810993505248800

Bases of 13978810993505248800

  • Binary: 11000001111111101011011010001001001000100011010010100110001000002
  • Hexadecimal: 0xC1FEB6892234A620
  • Base-36: 2Y7CYXORKQQ00

Squares and roots of 13978810993505248800

  • 13978810993505248800 squared (139788109935052488002) is 195407156792143201008535393149901440000
  • 13978810993505248800 cubed (139788109935052488003) is 2731559711575615225768965442331140443485045842678272000000
  • The square root of 13978810993505248800 is 3738824814.4978989909
  • The cube root of 13978810993505248800 is 2408925.7330835551

Scales and comparisons

How big is 13978810993505248800?
  • 13,978,810,993,505,248,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 13,978,810,993,505,248,800 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 13978810993505248800 cubic inches would be around 200743.8 feet tall.

Recreational maths with 13978810993505248800

  • 13978810993505248800 backwards is 00884250539901887931
  • 13978810993505248800 is a Harshad number.
  • The number of decimal digits it has is: 20
  • The sum of 13978810993505248800's digits is 90
  • More coming soon!

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"Number 13978810993505248800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.

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Numbermatics. (2024). Number 13978810993505248800 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/13978810993505248800/

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Numbermatics. 2024. "Number 13978810993505248800 - Facts about the integer". https://numbermatics.com/n/13978810993505248800/

The information we have on file for 13978810993505248800 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 13978810993505248800, math, Factors of 13978810993505248800, curriculum, school, college, exams, university, Prime factorization of 13978810993505248800, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, nine hundred seventy-eight quadrillion, eight hundred ten trillion, nine hundred ninety-three billion, five hundred five million, two hundred forty-eight thousand, eight hundred.

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