138083567542947138505688064

138,083,567,542,947,138,505,688,064 is an even composite number composed of five prime numbers multiplied together.

What does the number 138083567542947138505688064 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 26411 divisors.

138083567542947138505688064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of twenty-six thousand, four hundred eleven divisors.

Prime factorization of 138083567542947138505688064:

210 × 36 × 76 × 116 × 316

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 11 × 31 × 31 × 31 × 31 × 31 × 31)

See below for interesting mathematical facts about the number 138083567542947138505688064 from the Numbermatics database.


Names of 138083567542947138505688064

  • Cardinal: 138083567542947138505688064 can be written as One hundred thirty-eight septillion, eighty-three sextillion, five hundred sixty-seven quintillion, five hundred forty-two quadrillion, nine hundred forty-seven trillion, one hundred thirty-eight billion, five hundred five million, six hundred eighty-eight thousand and sixty-four.

Scientific notation

  • Scientific notation: 1.38083567542947138505688064 × 1026

Factors of 138083567542947138505688064

  • Number of distinct prime factors ω(n): 5
  • Total number of prime factors Ω(n): 34
  • Sum of prime factors: 54

Divisors of 138083567542947138505688064

Bases of 138083567542947138505688064

  • Binary: 1110010001110000101010100110010000110110110011010110011011100001100111001000100000000002
  • Hexadecimal: 0x723855321B66B370CE4400
  • Base-36: HCLQ9V00O6NZ4G000

Squares and roots of 138083567542947138505688064

  • 138083567542947138505688064 squared (1380835675429471385056880642) is 19067071625387644449408510544403394394842082072068096
  • 138083567542947138505688064 cubed (1380835675429471385056880643) is 2632849272630425681989298406887880349015981640705602732125058533062471942406144
  • 138083567542947138505688064 is a perfect square number. Its square root is 11750896456992
  • The cube root of 138083567542947138505688064 is 516869215.2387692335
  • Being both a perfect square and a perfect cube, 138083567542947138505688064 is also a perfect sixth number.

Scales and comparisons

How big is 138083567542947138505688064?
  • 138,083,567,542,947,138,505,688,064 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,083,567,542,947,138,505,688,064 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 138083567542947138505688064 cubic inches would be around 43072434.6 feet tall.

Recreational maths with 138083567542947138505688064

  • 138083567542947138505688064 backwards is 460886505831749245765380831
  • 138083567542947138505688064 is a Harshad number.
  • The number of decimal digits it has is: 27
  • The sum of 138083567542947138505688064's digits is 126
  • 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 138083567542947138505688064 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.

APA style:
Numbermatics. (2024). Number 138083567542947138505688064 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138083567542947138505688064/

Chicago style:
Numbermatics. 2024. "Number 138083567542947138505688064 - Facts about the integer". https://numbermatics.com/n/138083567542947138505688064/

The information we have on file for 138083567542947138505688064 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 138083567542947138505688064, math, Factors of 138083567542947138505688064, curriculum, school, college, exams, university, Prime factorization of 138083567542947138505688064, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight septillion, eighty-three sextillion, five hundred sixty-seven quintillion, five hundred forty-two quadrillion, nine hundred forty-seven trillion, one hundred thirty-eight billion, five hundred five million, six hundred eighty-eight thousand and sixty-four.

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