138825842124816000

138,825,842,124,816,000 is an even composite number composed of eight prime numbers multiplied together.

What does the number 138825842124816000 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 9216 divisors.

138825842124816000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine thousand, two hundred sixteen divisors.

Prime factorization of 138825842124816000:

27 × 32 × 53 × 7 × 113 × 292 × 61 × 2017

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 29 × 29 × 61 × 2017)

See below for interesting mathematical facts about the number 138825842124816000 from the Numbermatics database.


Names of 138825842124816000

  • Cardinal: 138825842124816000 can be written as One hundred thirty-eight quadrillion, eight hundred twenty-five trillion, eight hundred forty-two billion, one hundred twenty-four million, eight hundred sixteen thousand.

Scientific notation

  • Scientific notation: 1.38825842124816 × 1017

Factors of 138825842124816000

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 20
  • Sum of prime factors: 2135

Divisors of 138825842124816000

Bases of 138825842124816000

  • Binary: 1111011010011010101011110001011010111111001111110100000002
  • Hexadecimal: 0x1ED355E2D7E7E80
  • Base-36: 11YXNJFS3A80

Squares and roots of 138825842124816000

  • 138825842124816000 squared (1388258421248160002) is 19272614441664336605723033856000000
  • 138825842124816000 cubed (1388258421248160003) is 2675536929810942054811698031633632945770496000000000
  • The square root of 138825842124816000 is 372593400.5384636439
  • The cube root of 138825842124816000 is 517793.7120838787

Scales and comparisons

How big is 138825842124816000?
  • 138,825,842,124,816,000 seconds is equal to 4,414,232,363 years, 2 weeks, 2 days, 8 hours.
  • To count from 1 to 138,825,842,124,816,000 would take you about thirteen billion, two hundred forty-two million, six hundred ninety-seven thousand and eighty-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 138825842124816000 cubic inches would be around 43149.5 feet tall.

Recreational maths with 138825842124816000

  • 138825842124816000 backwards is 000618421248528831
  • 138825842124816000 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138825842124816000's digits is 63
  • 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 138825842124816000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.

APA style:
Numbermatics. (2024). Number 138825842124816000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138825842124816000/

Chicago style:
Numbermatics. 2024. "Number 138825842124816000 - Facts about the integer". https://numbermatics.com/n/138825842124816000/

The information we have on file for 138825842124816000 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 138825842124816000, math, Factors of 138825842124816000, curriculum, school, college, exams, university, Prime factorization of 138825842124816000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred twenty-five trillion, eight hundred forty-two billion, one hundred twenty-four million, eight hundred sixteen thousand.

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