138182691087918400

138,182,691,087,918,400 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138182691087918400 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 2268 divisors.

138182691087918400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.

Prime factorization of 138182691087918400:

26 × 52 × 72 × 112 × 19 × 31 × 49732

(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 11 × 19 × 31 × 4973 × 4973)

See below for interesting mathematical facts about the number 138182691087918400 from the Numbermatics database.


Names of 138182691087918400

  • Cardinal: 138182691087918400 can be written as One hundred thirty-eight quadrillion, one hundred eighty-two trillion, six hundred ninety-one billion, eighty-seven million, nine hundred eighteen thousand, four hundred.

Scientific notation

  • Scientific notation: 1.381826910879184 × 1017

Factors of 138182691087918400

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 16
  • Sum of prime factors: 5048

Divisors of 138182691087918400

Bases of 138182691087918400

  • Binary: 1111010101110110001101100111010000110011100100101010000002
  • Hexadecimal: 0x1EAEC6CE8672540
  • Base-36: 11SLOBXIE1J4

Squares and roots of 138182691087918400

  • 138182691087918400 squared (1381826910879184002) is 19094456116299083208558445058560000
  • 138182691087918400 cubed (1381826910879184003) is 2638523331010370309206749486130798180996501504000000
  • The square root of 138182691087918400 is 371729325.0308864185
  • The cube root of 138182691087918400 is 516992.8641644333

Scales and comparisons

How big is 138182691087918400?
  • 138,182,691,087,918,400 seconds is equal to 4,393,782,149 years, 24 weeks, 2 days, 11 hours, 6 minutes, 40 seconds.
  • To count from 1 to 138,182,691,087,918,400 would take you about thirteen billion, one hundred eighty-one million, three hundred forty-six thousand, four hundred forty-eight 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 138182691087918400 cubic inches would be around 43082.7 feet tall.

Recreational maths with 138182691087918400

  • 138182691087918400 backwards is 004819780196281831
  • 138182691087918400 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138182691087918400'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 138182691087918400 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.

APA style:
Numbermatics. (2024). Number 138182691087918400 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138182691087918400/

Chicago style:
Numbermatics. 2024. "Number 138182691087918400 - Facts about the integer". https://numbermatics.com/n/138182691087918400/

The information we have on file for 138182691087918400 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 138182691087918400, math, Factors of 138182691087918400, curriculum, school, college, exams, university, Prime factorization of 138182691087918400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred eighty-two trillion, six hundred ninety-one billion, eighty-seven million, nine hundred eighteen thousand, four hundred.

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