138538319810598400

138,538,319,810,598,400 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138538319810598400 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 3600 divisors.

138538319810598400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.

Prime factorization of 138538319810598400:

29 × 52 × 7 × 11 × 174 × 31 × 2332

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 17 × 17 × 17 × 17 × 31 × 233 × 233)

See below for interesting mathematical facts about the number 138538319810598400 from the Numbermatics database.


Names of 138538319810598400

  • Cardinal: 138538319810598400 can be written as One hundred thirty-eight quadrillion, five hundred thirty-eight trillion, three hundred nineteen billion, eight hundred ten million, five hundred ninety-eight thousand, four hundred.

Scientific notation

  • Scientific notation: 1.385383198105984 × 1017

Factors of 138538319810598400

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 20
  • Sum of prime factors: 306

Divisors of 138538319810598400

Bases of 138538319810598400

  • Binary: 1111011000010111111011110001011000001011100010110000000002
  • Hexadecimal: 0x1EC2FDE2C171600
  • Base-36: 11W3QHIDT8N4

Squares and roots of 138538319810598400

  • 138538319810598400 squared (1385383198105984002) is 19192866055943641097248966082560000
  • 138538319810598400 cubed (1385383198105984003) is 2658947415740298512714413249170133924817403904000000
  • The square root of 138538319810598400 is 372207361.3062997977
  • The cube root of 138538319810598400 is 517435.9973566653

Scales and comparisons

How big is 138538319810598400?
  • 138,538,319,810,598,400 seconds is equal to 4,405,090,042 years, 42 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
  • To count from 1 to 138,538,319,810,598,400 would take you about thirteen billion, two hundred fifteen million, two hundred seventy thousand, one hundred twenty-eight 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 138538319810598400 cubic inches would be around 43119.7 feet tall.

Recreational maths with 138538319810598400

  • 138538319810598400 backwards is 004895018913835831
  • The number of decimal digits it has is: 18
  • The sum of 138538319810598400's digits is 76
  • More coming soon!

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"Number 138538319810598400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.

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Numbermatics. (2024). Number 138538319810598400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138538319810598400/

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Numbermatics. 2024. "Number 138538319810598400 - Facts about the integer". https://numbermatics.com/n/138538319810598400/

The information we have on file for 138538319810598400 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 138538319810598400, math, Factors of 138538319810598400, curriculum, school, college, exams, university, Prime factorization of 138538319810598400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, five hundred thirty-eight trillion, three hundred nineteen billion, eight hundred ten million, five hundred ninety-eight thousand, four hundred.

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