138513427893012484800

138,513,427,893,012,484,800 is an even composite number composed of six prime numbers multiplied together.

What does the number 138513427893012484800 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 5040 divisors.

138513427893012484800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand and forty divisors.

Prime factorization of 138513427893012484800:

26 × 34 × 52 × 293 × 972 × 1673

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 29 × 29 × 29 × 97 × 97 × 167 × 167 × 167)

See below for interesting mathematical facts about the number 138513427893012484800 from the Numbermatics database.


Names of 138513427893012484800

  • Cardinal: 138513427893012484800 can be written as One hundred thirty-eight quintillion, five hundred thirteen quadrillion, four hundred twenty-seven trillion, eight hundred ninety-three billion, twelve million, four hundred eighty-four thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.385134278930124848 × 1020

Factors of 138513427893012484800

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 20
  • Sum of prime factors: 303

Divisors of 138513427893012484800

Bases of 138513427893012484800

  • Binary: 11110000010010000101000110011001011000010001011000101010010110000002
  • Hexadecimal: 0x782428CCB08B152C0
  • Base-36: T8CYOA9KZU400

Squares and roots of 138513427893012484800

  • 138513427893012484800 squared (1385134278930124848002) is 19185969706672769044338117208670231040000
  • 138513427893012484800 cubed (1385134278930124848003) is 2657514431522740488964164186081491234100417204820488192000000
  • The square root of 138513427893012484800 is 11769172778.6201050741
  • The cube root of 138513427893012484800 is 5174050.0534015715

Scales and comparisons

How big is 138513427893012484800?
  • 138,513,427,893,012,484,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,513,427,893,012,484,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138513427893012484800 cubic inches would be around 431170.8 feet tall.

Recreational maths with 138513427893012484800

  • 138513427893012484800 backwards is 008484210398724315831
  • 138513427893012484800 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138513427893012484800's digits is 81
  • More coming soon!

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"Number 138513427893012484800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.

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Numbermatics. (2024). Number 138513427893012484800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138513427893012484800/

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The information we have on file for 138513427893012484800 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 138513427893012484800, math, Factors of 138513427893012484800, curriculum, school, college, exams, university, Prime factorization of 138513427893012484800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, five hundred thirteen quadrillion, four hundred twenty-seven trillion, eight hundred ninety-three billion, twelve million, four hundred eighty-four thousand, eight hundred.

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