138657672876038400

138,657,672,876,038,400 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138657672876038400 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 11664 divisors.

138657672876038400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eleven thousand, six hundred sixty-four divisors.

Prime factorization of 138657672876038400:

28 × 35 × 52 × 75 × 19 × 432 × 151

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 19 × 43 × 43 × 151)

See below for interesting mathematical facts about the number 138657672876038400 from the Numbermatics database.


Names of 138657672876038400

  • Cardinal: 138657672876038400 can be written as One hundred thirty-eight quadrillion, six hundred fifty-seven trillion, six hundred seventy-two billion, eight hundred seventy-six million, thirty-eight thousand, four hundred.

Scientific notation

  • Scientific notation: 1.386576728760384 × 1017

Factors of 138657672876038400

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 230

Divisors of 138657672876038400

Bases of 138657672876038400

  • Binary: 1111011001001110001101011001110010010100010011001000000002
  • Hexadecimal: 0x1EC9C6B39289900
  • Base-36: 11XA1JJVDC00

Squares and roots of 138657672876038400

  • 138657672876038400 squared (1386576728760384002) is 19225950247398475020652878274560000
  • 138657672876038400 cubed (1386576728760384003) is 2665825520134767295924444241182580863360303104000000
  • The square root of 138657672876038400 is 372367658.2036071509
  • The cube root of 138657672876038400 is 517584.5479429169

Scales and comparisons

How big is 138657672876038400?
  • 138,657,672,876,038,400 seconds is equal to 4,408,885,101 years, 6 weeks.
  • To count from 1 to 138,657,672,876,038,400 would take you about thirteen billion, two hundred twenty-six million, six hundred fifty-five thousand, three hundred 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 138657672876038400 cubic inches would be around 43132 feet tall.

Recreational maths with 138657672876038400

  • 138657672876038400 backwards is 004830678276756831
  • 138657672876038400 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138657672876038400's digits is 81
  • More coming soon!

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Numbermatics. (2024). Number 138657672876038400 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138657672876038400/

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The information we have on file for 138657672876038400 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 138657672876038400, math, Factors of 138657672876038400, curriculum, school, college, exams, university, Prime factorization of 138657672876038400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred fifty-seven trillion, six hundred seventy-two billion, eight hundred seventy-six million, thirty-eight thousand, four hundred.

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