137971357067980800

137,971,357,067,980,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 137971357067980800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 11232 divisors.

137971357067980800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eleven thousand, two hundred thirty-two divisors.

Prime factorization of 137971357067980800:

212 × 32 × 52 × 75 × 13 × 23 × 313

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 13 × 23 × 31 × 31 × 31)

See below for interesting mathematical facts about the number 137971357067980800 from the Numbermatics database.


Names of 137971357067980800

  • Cardinal: 137971357067980800 can be written as One hundred thirty-seven quadrillion, nine hundred seventy-one trillion, three hundred fifty-seven billion, sixty-seven million, nine hundred eighty thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.379713570679808 × 1017

Factors of 137971357067980800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 26
  • Sum of prime factors: 84

Divisors of 137971357067980800

Bases of 137971357067980800

  • Binary: 1111010100010110000110111110111110011011100110000000000002
  • Hexadecimal: 0x1EA2C37DF373000
  • Base-36: 11QIRIF7EGW0

Squares and roots of 137971357067980800

  • 137971357067980800 squared (1379713570679808002) is 19036095371180255456512589168640000
  • 137971357067980800 cubed (1379713570679808003) is 2626435911637247529150827125318853666235482112000000
  • The square root of 137971357067980800 is 371444958.3289303443
  • The cube root of 137971357067980800 is 516729.1699542201

Scales and comparisons

How big is 137971357067980800?
  • 137,971,357,067,980,800 seconds is equal to 4,387,062,381 years, 17 weeks, 2 days, 8 hours.
  • To count from 1 to 137,971,357,067,980,800 would take you about thirteen billion, one hundred sixty-one million, one hundred eighty-seven thousand, one hundred forty-four 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 137971357067980800 cubic inches would be around 43060.8 feet tall.

Recreational maths with 137971357067980800

  • 137971357067980800 backwards is 008089760753179731
  • The number of decimal digits it has is: 18
  • The sum of 137971357067980800's digits is 81
  • 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 137971357067980800 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.

APA style:
Numbermatics. (2024). Number 137971357067980800 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/137971357067980800/

Chicago style:
Numbermatics. 2024. "Number 137971357067980800 - Facts about the integer". https://numbermatics.com/n/137971357067980800/

The information we have on file for 137971357067980800 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 137971357067980800, math, Factors of 137971357067980800, curriculum, school, college, exams, university, Prime factorization of 137971357067980800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, nine hundred seventy-one trillion, three hundred fifty-seven billion, sixty-seven million, nine hundred eighty thousand, eight hundred.

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