13681313139916800

13,681,313,139,916,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 13681313139916800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 10260 divisors.

13681313139916800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of ten thousand, two hundred sixty divisors.

Prime factorization of 13681313139916800:

218 × 34 × 52 × 72 × 192 × 31 × 47

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 19 × 19 × 31 × 47)

See below for interesting mathematical facts about the number 13681313139916800 from the Numbermatics database.


Names of 13681313139916800

  • Cardinal: 13681313139916800 can be written as Thirteen quadrillion, six hundred eighty-one trillion, three hundred thirteen billion, one hundred thirty-nine million, nine hundred sixteen thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.36813131399168 × 1016

Factors of 13681313139916800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 30
  • Sum of prime factors: 114

Divisors of 13681313139916800

Bases of 13681313139916800

  • Binary: 1100001001101100010100111100011100010000000000000000002
  • Hexadecimal: 0x309B14F1C40000
  • Base-36: 3QPMCHMGW00

Squares and roots of 13681313139916800

  • 13681313139916800 squared (136813131399168002) is 187178329232460089093510922240000
  • 13681313139916800 cubed (136813131399168003) is 2560845335235729094448480989763050124869632000000
  • The square root of 13681313139916800 is 116967145.5577026553
  • The cube root of 13681313139916800 is 239171.4084650869

Scales and comparisons

How big is 13681313139916800?
  • 13,681,313,139,916,800 seconds is equal to 435,023,438 years, 40 weeks.
  • To count from 1 to 13,681,313,139,916,800 would take you about one billion, three hundred five million, seventy thousand, three hundred sixteen 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 13681313139916800 cubic inches would be around 19931 feet tall.

Recreational maths with 13681313139916800

  • 13681313139916800 backwards is 00861993131318631
  • 13681313139916800 is a Harshad number.
  • The number of decimal digits it has is: 17
  • The sum of 13681313139916800'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 13681313139916800 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.

APA style:
Numbermatics. (2024). Number 13681313139916800 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/13681313139916800/

Chicago style:
Numbermatics. 2024. "Number 13681313139916800 - Facts about the integer". https://numbermatics.com/n/13681313139916800/

The information we have on file for 13681313139916800 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 13681313139916800, math, Factors of 13681313139916800, curriculum, school, college, exams, university, Prime factorization of 13681313139916800, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred eighty-one trillion, three hundred thirteen billion, one hundred thirty-nine million, nine hundred sixteen thousand, eight hundred.

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