138424321526400

138,424,321,526,400 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138424321526400 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 5184 divisors.

138424321526400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, one hundred eighty-four divisors.

Prime factorization of 138424321526400:

27 × 33 × 52 × 72 × 132 × 31 × 792

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 31 × 79 × 79)

See below for interesting mathematical facts about the number 138424321526400 from the Numbermatics database.


Names of 138424321526400

  • Cardinal: 138424321526400 can be written as One hundred thirty-eight trillion, four hundred twenty-four billion, three hundred twenty-one million, five hundred twenty-six thousand, four hundred.

Scientific notation

  • Scientific notation: 1.384243215264 × 1014

Factors of 138424321526400

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 140

Divisors of 138424321526400

Bases of 138424321526400

  • Binary: 111110111100101011011001000001101001010100000002
  • Hexadecimal: 0x7DE56C834A80
  • Base-36: 1D2F970YO0

Squares and roots of 138424321526400

  • 138424321526400 squared (1384243215264002) is 19161292790044166425896960000
  • 138424321526400 cubed (1384243215264003) is 2652388954030563822195032710556319744000000
  • The square root of 138424321526400 is 11765386.5863557581
  • The cube root of 138424321526400 is 51729.4031815409

Scales and comparisons

How big is 138424321526400?
  • 138,424,321,526,400 seconds is equal to 4,401,465 years, 13 weeks.
  • To count from 1 to 138,424,321,526,400 would take you about eleven million, three thousand, six 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 138424321526400 cubic inches would be around 4310.8 feet tall.

Recreational maths with 138424321526400

  • 138424321526400 backwards is 004625123424831
  • 138424321526400 is a Harshad number.
  • The number of decimal digits it has is: 15
  • The sum of 138424321526400's digits is 45
  • More coming soon!

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"Number 138424321526400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.

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Numbermatics. (2024). Number 138424321526400 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138424321526400/

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Numbermatics. 2024. "Number 138424321526400 - Facts about the integer". https://numbermatics.com/n/138424321526400/

The information we have on file for 138424321526400 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 138424321526400, math, Factors of 138424321526400, curriculum, school, college, exams, university, Prime factorization of 138424321526400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred twenty-four billion, three hundred twenty-one million, five hundred twenty-six thousand, four hundred.

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