138316984250425344000

138,316,984,250,425,344,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138316984250425344000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 36720 divisors.

138316984250425344000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of thirty-six thousand, seven hundred twenty divisors.

Prime factorization of 138316984250425344000:

216 × 38 × 53 × 72 × 13 × 194 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 19 × 19 × 19 × 19 × 31)

See below for interesting mathematical facts about the number 138316984250425344000 from the Numbermatics database.


Names of 138316984250425344000

  • Cardinal: 138316984250425344000 can be written as One hundred thirty-eight quintillion, three hundred sixteen quadrillion, nine hundred eighty-four trillion, two hundred fifty billion, four hundred twenty-five million, three hundred forty-four thousand.

Scientific notation

  • Scientific notation: 1.38316984250425344 × 1020

Factors of 138316984250425344000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 35
  • Sum of prime factors: 80

Divisors of 138316984250425344000

Bases of 138316984250425344000

  • Binary: 11101111111100010001010010001010111010010011110011100000000000000002
  • Hexadecimal: 0x77F88A45749E70000
  • Base-36: T6V8ETQ0W0000

Squares and roots of 138316984250425344000

  • 138316984250425344000 squared (1383169842504253440002) is 19131588132132412661197844917518336000000
  • 138316984250425344000 cubed (1383169842504253440003) is 2646223574357783347195876630521290765746804919107584000000000
  • The square root of 138316984250425344000 is 11760824131.4299630165
  • The cube root of 138316984250425344000 is 5171602.9016851921

Scales and comparisons

How big is 138316984250425344000?
  • 138,316,984,250,425,344,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,316,984,250,425,344,000 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 138316984250425344000 cubic inches would be around 430966.9 feet tall.

Recreational maths with 138316984250425344000

  • 138316984250425344000 backwards is 000443524052489613831
  • 138316984250425344000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138316984250425344000's digits is 72
  • More coming soon!

Copy this link to share with anyone:


Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 138316984250425344000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.

APA style:
Numbermatics. (2024). Number 138316984250425344000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138316984250425344000/

Chicago style:
Numbermatics. 2024. "Number 138316984250425344000 - Facts about the integer". https://numbermatics.com/n/138316984250425344000/

The information we have on file for 138316984250425344000 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 138316984250425344000, math, Factors of 138316984250425344000, curriculum, school, college, exams, university, Prime factorization of 138316984250425344000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred sixteen quadrillion, nine hundred eighty-four trillion, two hundred fifty billion, four hundred twenty-five million, three hundred forty-four thousand.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.