138144631120031250

138,144,631,120,031,250 is an even composite number composed of six prime numbers multiplied together.

What does the number 138144631120031250 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 2646 divisors.

138144631120031250 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty-six divisors.

Prime factorization of 138144631120031250:

2 × 32 × 56 × 112 × 136 × 292

(2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 13 × 29 × 29)

See below for interesting mathematical facts about the number 138144631120031250 from the Numbermatics database.


Names of 138144631120031250

  • Cardinal: 138144631120031250 can be written as One hundred thirty-eight quadrillion, one hundred forty-four trillion, six hundred thirty-one billion, one hundred twenty million, thirty-one thousand, two hundred fifty.

Scientific notation

  • Scientific notation: 1.3814463112003125 × 1017

Factors of 138144631120031250

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 63

Divisors of 138144631120031250

Bases of 138144631120031250

  • Binary: 1111010101100100111001111011000011000100101101110000100102
  • Hexadecimal: 0x1EAC9CF61896E12
  • Base-36: 11S86NF86TCI

Squares and roots of 138144631120031250

  • 138144631120031250 squared (1381446311200312502) is 19083939107289506493845000976562500
  • 138144631120031250 cubed (1381446311200312503) is 2636343728293647350736165007441198984405517578125000
  • The square root of 138144631120031250 is 371678128.3853426449
  • The cube root of 138144631120031250 is 516945.3943053529

Scales and comparisons

How big is 138144631120031250?
  • 138,144,631,120,031,250 seconds is equal to 4,392,571,960 years, 11 weeks, 1 day, 21 hours, 7 minutes, 30 seconds.
  • To count from 1 to 138,144,631,120,031,250 would take you about thirteen billion, one hundred seventy-seven million, seven hundred fifteen thousand, eight hundred eighty 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 138144631120031250 cubic inches would be around 43078.8 feet tall.

Recreational maths with 138144631120031250

  • 138144631120031250 backwards is 052130021136441831
  • 138144631120031250 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138144631120031250's digits is 45
  • 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 138144631120031250 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.

APA style:
Numbermatics. (2024). Number 138144631120031250 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138144631120031250/

Chicago style:
Numbermatics. 2024. "Number 138144631120031250 - Facts about the integer". https://numbermatics.com/n/138144631120031250/

The information we have on file for 138144631120031250 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 138144631120031250, math, Factors of 138144631120031250, curriculum, school, college, exams, university, Prime factorization of 138144631120031250, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred forty-four trillion, six hundred thirty-one billion, one hundred twenty million, thirty-one thousand, two hundred fifty.

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