138528935916134400

138,528,935,916,134,400 is an even composite number composed of six prime numbers multiplied together.

What does the number 138528935916134400 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 12096 divisors.

138528935916134400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of twelve thousand and ninety-six divisors.

Prime factorization of 138528935916134400:

213 × 37 × 52 × 72 × 135 × 17

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

See below for interesting mathematical facts about the number 138528935916134400 from the Numbermatics database.


Names of 138528935916134400

  • Cardinal: 138528935916134400 can be written as One hundred thirty-eight quadrillion, five hundred twenty-eight trillion, nine hundred thirty-five billion, nine hundred sixteen million, one hundred thirty-four thousand, four hundred.

Scientific notation

  • Scientific notation: 1.385289359161344 × 1017

Factors of 138528935916134400

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 30
  • Sum of prime factors: 47

Divisors of 138528935916134400

Bases of 138528935916134400

  • Binary: 1111011000010011101010101010100000110010011100000000000002
  • Hexadecimal: 0x1EC27555064E000
  • Base-36: 11W0EQLXC000

Squares and roots of 138528935916134400

  • 138528935916134400 squared (1385289359161344002) is 19190266086056471337030238863360000
  • 138528935916134400 cubed (1385289359161344003) is 2658407140848884230766518787004266984540995584000000
  • The square root of 138528935916134400 is 372194755.3581785763
  • The cube root of 138528935916134400 is 517424.3142487415

Scales and comparisons

How big is 138528935916134400?
  • 138,528,935,916,134,400 seconds is equal to 4,404,791,664 years.
  • To count from 1 to 138,528,935,916,134,400 would take you about thirteen billion, two hundred fourteen million, three hundred seventy-four thousand, nine hundred ninety-two 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 138528935916134400 cubic inches would be around 43118.7 feet tall.

Recreational maths with 138528935916134400

  • 138528935916134400 backwards is 004431619539825831
  • 138528935916134400 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138528935916134400's digits is 72
  • More coming soon!

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"Number 138528935916134400 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.

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Numbermatics. (2024). Number 138528935916134400 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138528935916134400/

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Numbermatics. 2024. "Number 138528935916134400 - Facts about the integer". https://numbermatics.com/n/138528935916134400/

The information we have on file for 138528935916134400 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 138528935916134400, math, Factors of 138528935916134400, curriculum, school, college, exams, university, Prime factorization of 138528935916134400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, five hundred twenty-eight trillion, nine hundred thirty-five billion, nine hundred sixteen million, one hundred thirty-four thousand, four hundred.

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