138516319088640000

138,516,319,088,640,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138516319088640000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 9600 divisors.

138516319088640000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine thousand, six hundred divisors.

Prime factorization of 138516319088640000:

215 × 39 × 54 × 172 × 29 × 41

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 17 × 17 × 29 × 41)

See below for interesting mathematical facts about the number 138516319088640000 from the Numbermatics database.


Names of 138516319088640000

  • Cardinal: 138516319088640000 can be written as One hundred thirty-eight quadrillion, five hundred sixteen trillion, three hundred nineteen billion, eighty-eight million, six hundred forty thousand.

Scientific notation

  • Scientific notation: 1.3851631908864 × 1017

Factors of 138516319088640000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 32
  • Sum of prime factors: 97

Divisors of 138516319088640000

Bases of 138516319088640000

  • Binary: 1111011000001101111011011101110101101111110000000000000002
  • Hexadecimal: 0x1EC1BDBBADF8000
  • Base-36: 11VVXQIO0000

Squares and roots of 138516319088640000

  • 138516319088640000 squared (1385163190886400002) is 19186770653865934040177049600000000
  • 138516319088640000 cubed (1385163190886400003) is 2657680846171447653500799412193716076544000000000000
  • The square root of 138516319088640000 is 372177805.7442974393
  • The cube root of 138516319088640000 is 517408.6052527043

Scales and comparisons

How big is 138516319088640000?
  • 138,516,319,088,640,000 seconds is equal to 4,404,390,487 years, 47 weeks, 3 days.
  • To count from 1 to 138,516,319,088,640,000 would take you about thirteen billion, two hundred thirteen million, one hundred seventy-one thousand, four hundred sixty-three 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 138516319088640000 cubic inches would be around 43117.4 feet tall.

Recreational maths with 138516319088640000

  • 138516319088640000 backwards is 000046880913615831
  • The number of decimal digits it has is: 18
  • The sum of 138516319088640000's digits is 63
  • More coming soon!

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"Number 138516319088640000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.

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Numbermatics. (2024). Number 138516319088640000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138516319088640000/

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The information we have on file for 138516319088640000 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 138516319088640000, math, Factors of 138516319088640000, curriculum, school, college, exams, university, Prime factorization of 138516319088640000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, five hundred sixteen trillion, three hundred nineteen billion, eighty-eight million, six hundred forty thousand.

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