138688450995290112000

138,688,450,995,290,112,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138688450995290112000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 14112 divisors.

138688450995290112000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of fourteen thousand, one hundred twelve divisors.

Prime factorization of 138688450995290112000:

220 × 33 × 53 × 72 × 17 × 196

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 17 × 19 × 19 × 19 × 19 × 19 × 19)

See below for interesting mathematical facts about the number 138688450995290112000 from the Numbermatics database.


Names of 138688450995290112000

  • Cardinal: 138688450995290112000 can be written as One hundred thirty-eight quintillion, six hundred eighty-eight quadrillion, four hundred fifty trillion, nine hundred ninety-five billion, two hundred ninety million, one hundred twelve thousand.

Scientific notation

  • Scientific notation: 1.38688450995290112 × 1020

Factors of 138688450995290112000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 35
  • Sum of prime factors: 53

Divisors of 138688450995290112000

Bases of 138688450995290112000

  • Binary: 11110000100101100000101101101100000100101110111000000000000000000002
  • Hexadecimal: 0x784B05B6097700000
  • Base-36: T9OU0SORTCLC0

Squares and roots of 138688450995290112000

  • 138688450995290112000 squared (1386884509952901120002) is 19234486439472986857815207044972544000000
  • 138688450995290112000 cubed (1386884509952901120003) is 2667601129980421526786311762185747915010712354684928000000000
  • The square root of 138688450995290112000 is 11776606089.8414239183
  • The cube root of 138688450995290112000 is 5176228.4153331715
  • Being both a perfect square and a perfect cube, 138688450995290112000 is also a perfect sixth number.

Scales and comparisons

How big is 138688450995290112000?
  • 138,688,450,995,290,112,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,688,450,995,290,112,000 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 138688450995290112000 cubic inches would be around 431352.4 feet tall.

Recreational maths with 138688450995290112000

  • 138688450995290112000 backwards is 000211092599054886831
  • The number of decimal digits it has is: 21
  • The sum of 138688450995290112000's digits is 81
  • More coming soon!

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"Number 138688450995290112000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.

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Numbermatics. (2024). Number 138688450995290112000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138688450995290112000/

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The information we have on file for 138688450995290112000 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 138688450995290112000, math, Factors of 138688450995290112000, curriculum, school, college, exams, university, Prime factorization of 138688450995290112000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, six hundred eighty-eight quadrillion, four hundred fifty trillion, nine hundred ninety-five billion, two hundred ninety million, one hundred twelve thousand.

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