138124673925638400

138,124,673,925,638,400 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138124673925638400 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 18225 divisors.

138124673925638400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eighteen thousand, two hundred twenty-five divisors.

Prime factorization of 138124673925638400:

28 × 32 × 52 × 74 × 112 × 134 × 172

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 13 × 13 × 13 × 13 × 17 × 17)

See below for interesting mathematical facts about the number 138124673925638400 from the Numbermatics database.


Names of 138124673925638400

  • Cardinal: 138124673925638400 can be written as One hundred thirty-eight quadrillion, one hundred twenty-four trillion, six hundred seventy-three billion, nine hundred twenty-five million, six hundred thirty-eight thousand, four hundred.

Scientific notation

  • Scientific notation: 1.381246739256384 × 1017

Factors of 138124673925638400

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 58

Divisors of 138124673925638400

Bases of 138124673925638400

  • Binary: 1111010101011011110101000101111000000110111101001000000002
  • Hexadecimal: 0x1EAB7A8BC0DE900
  • Base-36: 11S13Z7PXDS0

Squares and roots of 138124673925638400

  • 138124673925638400 squared (1381246739256384002) is 19078425547063932489292847554560000
  • 138124673925638400 cubed (1381246739256384003) is 2635201307702775083081033736809498200726831104000000
  • 138124673925638400 is a perfect square number. Its square root is 371651280
  • The cube root of 138124673925638400 is 516920.4994385535

Scales and comparisons

How big is 138124673925638400?
  • 138,124,673,925,638,400 seconds is equal to 4,391,937,383 years, 8 weeks, 4 days, 16 hours.
  • To count from 1 to 138,124,673,925,638,400 would take you about thirteen billion, one hundred seventy-five million, eight hundred twelve thousand, one hundred forty-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 138124673925638400 cubic inches would be around 43076.7 feet tall.

Recreational maths with 138124673925638400

  • 138124673925638400 backwards is 004836529376421831
  • 138124673925638400 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138124673925638400's digits is 72
  • More coming soon!

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"Number 138124673925638400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.

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Numbermatics. (2024). Number 138124673925638400 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138124673925638400/

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The information we have on file for 138124673925638400 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 138124673925638400, math, Factors of 138124673925638400, curriculum, school, college, exams, university, Prime factorization of 138124673925638400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred twenty-four trillion, six hundred seventy-three billion, nine hundred twenty-five million, six hundred thirty-eight thousand, four hundred.

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