138763342860928128000

138,763,342,860,928,128,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138763342860928128000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 13860 divisors.

138763342860928128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of thirteen thousand, eight hundred sixty divisors.

Prime factorization of 138763342860928128000:

210 × 36 × 53 × 74 × 412 × 6072

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 41 × 41 × 607 × 607)

See below for interesting mathematical facts about the number 138763342860928128000 from the Numbermatics database.


Names of 138763342860928128000

  • Cardinal: 138763342860928128000 can be written as One hundred thirty-eight quintillion, seven hundred sixty-three quadrillion, three hundred forty-two trillion, eight hundred sixty billion, nine hundred twenty-eight million, one hundred twenty-eight thousand.

Scientific notation

  • Scientific notation: 1.38763342860928128 × 1020

Factors of 138763342860928128000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 27
  • Sum of prime factors: 665

Divisors of 138763342860928128000

Bases of 138763342860928128000

  • Binary: 11110000101101110100110110100100001110111110101101110010100000000002
  • Hexadecimal: 0x785BA6D21DF5B9400
  • Base-36: TA9BFQWVRK000

Squares and roots of 138763342860928128000

  • 138763342860928128000 squared (1387633428609281280002) is 19255265321939493267364793581584384000000
  • 138763342860928128000 cubed (1387633428609281280003) is 2671924983746429535326723558461774010151186991153152000000000
  • The square root of 138763342860928128000 is 11779785348.6779685037
  • The cube root of 138763342860928128000 is 5177159.9700581917

Scales and comparisons

How big is 138763342860928128000?
  • 138,763,342,860,928,128,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,763,342,860,928,128,000 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 138763342860928128000 cubic inches would be around 431430 feet tall.

Recreational maths with 138763342860928128000

  • 138763342860928128000 backwards is 000821829068243367831
  • 138763342860928128000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138763342860928128000's digits is 81
  • More coming soon!

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"Number 138763342860928128000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.

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Numbermatics. (2024). Number 138763342860928128000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138763342860928128000/

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Numbermatics. 2024. "Number 138763342860928128000 - Facts about the integer". https://numbermatics.com/n/138763342860928128000/

The information we have on file for 138763342860928128000 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 138763342860928128000, math, Factors of 138763342860928128000, curriculum, school, college, exams, university, Prime factorization of 138763342860928128000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seven hundred sixty-three quadrillion, three hundred forty-two trillion, eight hundred sixty billion, nine hundred twenty-eight million, one hundred twenty-eight thousand.

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