138305966462327664

138,305,966,462,327,664 is an even composite number composed of six prime numbers multiplied together.

What does the number 138305966462327664 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 7500 divisors.

138305966462327664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand, five hundred divisors.

Prime factorization of 138305966462327664:

24 × 39 × 74 × 114 × 13 × 312

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 13 × 31 × 31)

See below for interesting mathematical facts about the number 138305966462327664 from the Numbermatics database.


Names of 138305966462327664

  • Cardinal: 138305966462327664 can be written as One hundred thirty-eight quadrillion, three hundred five trillion, nine hundred sixty-six billion, four hundred sixty-two million, three hundred twenty-seven thousand, six hundred sixty-four.

Scientific notation

  • Scientific notation: 1.38305966462327664 × 1017

Factors of 138305966462327664

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 67

Divisors of 138305966462327664

Bases of 138305966462327664

  • Binary: 1111010110101110010001011001100010100110111011011011100002
  • Hexadecimal: 0x1EB5C8B314DDB70
  • Base-36: 11TTDFUTFR00

Squares and roots of 138305966462327664

  • 138305966462327664 squared (1383059664623276642) is 19128540359078504569833716899696896
  • 138305966462327664 cubed (1383059664623276643) is 2645591261375992824308752885567651511155724235730944
  • The square root of 138305966462327664 is 371895101.4228712103
  • The cube root of 138305966462327664 is 517146.5581509135

Scales and comparisons

How big is 138305966462327664?
  • 138,305,966,462,327,664 seconds is equal to 4,397,701,925 years, 3 weeks, 9 hours, 14 minutes, 24 seconds.
  • To count from 1 to 138,305,966,462,327,664 would take you about thirteen billion, one hundred ninety-three million, one hundred five thousand, seven hundred seventy-five 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 138305966462327664 cubic inches would be around 43095.5 feet tall.

Recreational maths with 138305966462327664

  • 138305966462327664 backwards is 466723264669503831
  • 138305966462327664 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138305966462327664'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 138305966462327664 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.

APA style:
Numbermatics. (2024). Number 138305966462327664 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138305966462327664/

Chicago style:
Numbermatics. 2024. "Number 138305966462327664 - Facts about the integer". https://numbermatics.com/n/138305966462327664/

The information we have on file for 138305966462327664 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 138305966462327664, math, Factors of 138305966462327664, curriculum, school, college, exams, university, Prime factorization of 138305966462327664, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred five trillion, nine hundred sixty-six billion, four hundred sixty-two million, three hundred twenty-seven thousand, six hundred sixty-four.

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