138435798683542880520

138,435,798,683,542,880,520 is an even composite number composed of eight prime numbers multiplied together.

What does the number 138435798683542880520 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 30720 divisors.

138435798683542880520 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of thirty thousand, seven hundred twenty divisors.

Prime factorization of 138435798683542880520:

23 × 34 × 5 × 73 × 113 × 133 × 292 × 373

(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 13 × 13 × 13 × 29 × 29 × 37 × 37 × 37)

See below for interesting mathematical facts about the number 138435798683542880520 from the Numbermatics database.


Names of 138435798683542880520

  • Cardinal: 138435798683542880520 can be written as One hundred thirty-eight quintillion, four hundred thirty-five quadrillion, seven hundred ninety-eight trillion, six hundred eighty-three billion, five hundred forty-two million, eight hundred eighty thousand, five hundred twenty.

Scientific notation

  • Scientific notation: 1.3843579868354288052 × 1020

Factors of 138435798683542880520

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 22
  • Sum of prime factors: 107

Divisors of 138435798683542880520

Bases of 138435798683542880520

  • Binary: 11110000001001011101100000101110000001110100001000000000001000010002
  • Hexadecimal: 0x7812EC1703A100108
  • Base-36: T7RQB0Z2SFCI0

Squares and roots of 138435798683542880520

  • 138435798683542880520 squared (1384357986835428805202) is 19164470357150412731240579429578995470400
  • 138435798683542880520 cubed (1384357986835428805203) is 2653048760239199664045395440535219298391494433925248396608000
  • The square root of 138435798683542880520 is 11765874327.2033498513
  • The cube root of 138435798683542880520 is 5173083.2819711427

Scales and comparisons

How big is 138435798683542880520?
  • 138,435,798,683,542,880,520 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,435,798,683,542,880,520 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 138435798683542880520 cubic inches would be around 431090.3 feet tall.

Recreational maths with 138435798683542880520

  • 138435798683542880520 backwards is 025088245386897534831
  • 138435798683542880520 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138435798683542880520's digits is 99
  • 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 138435798683542880520 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.

APA style:
Numbermatics. (2024). Number 138435798683542880520 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138435798683542880520/

Chicago style:
Numbermatics. 2024. "Number 138435798683542880520 - Facts about the integer". https://numbermatics.com/n/138435798683542880520/

The information we have on file for 138435798683542880520 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 138435798683542880520, math, Factors of 138435798683542880520, curriculum, school, college, exams, university, Prime factorization of 138435798683542880520, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred thirty-five quadrillion, seven hundred ninety-eight trillion, six hundred eighty-three billion, five hundred forty-two million, eight hundred eighty thousand, five hundred twenty.

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