138210921296287640320

138,210,921,296,287,640,320 is an even composite number composed of ten prime numbers multiplied together.

What does the number 138210921296287640320 look like?

This visualization shows the relationship between its 10 prime factors (large circles) and 10368 divisors.

138210921296287640320 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of ten thousand, three hundred sixty-eight divisors.

Prime factorization of 138210921296287640320:

28 × 5 × 132 × 172 × 29 × 31 × 37 × 41 × 83 × 19531

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 17 × 17 × 29 × 31 × 37 × 41 × 83 × 19531)

See below for interesting mathematical facts about the number 138210921296287640320 from the Numbermatics database.


Names of 138210921296287640320

  • Cardinal: 138210921296287640320 can be written as One hundred thirty-eight quintillion, two hundred ten quadrillion, nine hundred twenty-one trillion, two hundred ninety-six billion, two hundred eighty-seven million, six hundred forty thousand, three hundred twenty.

Scientific notation

  • Scientific notation: 1.3821092129628764032 × 1020

Factors of 138210921296287640320

  • Number of distinct prime factors ω(n): 10
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 19789

Divisors of 138210921296287640320

Bases of 138210921296287640320

  • Binary: 11101111110000011111101010010100101011010001011001000101011000000002
  • Hexadecimal: 0x77E0FD4A568B22B00
  • Base-36: T6282N9JMQH34

Squares and roots of 138210921296287640320

  • 138210921296287640320 squared (1382109212962876403202) is 19102258765568616386874235246393689702400
  • 138210921296287640320 cubed (1382109212962876403203) is 2640140782829324733957941776888985164115480022062379040768000
  • The square root of 138210921296287640320 is 11756314103.3356045799
  • The cube root of 138210921296287640320 is 5170280.6833843853

Scales and comparisons

How big is 138210921296287640320?
  • 138,210,921,296,287,640,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,210,921,296,287,640,320 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 138210921296287640320 cubic inches would be around 430856.7 feet tall.

Recreational maths with 138210921296287640320

  • 138210921296287640320 backwards is 023046782692129012831
  • The number of decimal digits it has is: 21
  • The sum of 138210921296287640320's digits is 76
  • 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 138210921296287640320 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.

APA style:
Numbermatics. (2024). Number 138210921296287640320 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138210921296287640320/

Chicago style:
Numbermatics. 2024. "Number 138210921296287640320 - Facts about the integer". https://numbermatics.com/n/138210921296287640320/

The information we have on file for 138210921296287640320 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 138210921296287640320, math, Factors of 138210921296287640320, curriculum, school, college, exams, university, Prime factorization of 138210921296287640320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, two hundred ten quadrillion, nine hundred twenty-one trillion, two hundred ninety-six billion, two hundred eighty-seven million, six hundred forty thousand, three hundred twenty.

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