138311721007506585000

138,311,721,007,506,585,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138311721007506585000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 16800 divisors.

138311721007506585000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of sixteen thousand, eight hundred divisors.

Prime factorization of 138311721007506585000:

23 × 34 × 54 × 76 × 11 × 235 × 41

(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 23 × 23 × 23 × 23 × 23 × 41)

See below for interesting mathematical facts about the number 138311721007506585000 from the Numbermatics database.


Names of 138311721007506585000

  • Cardinal: 138311721007506585000 can be written as One hundred thirty-eight quintillion, three hundred eleven quadrillion, seven hundred twenty-one trillion, seven billion, five hundred six million, five hundred eighty-five thousand.

Scientific notation

  • Scientific notation: 1.38311721007506585 × 1020

Factors of 138311721007506585000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 92

Divisors of 138311721007506585000

Bases of 138311721007506585000

  • Binary: 11101111111011101011111000101110011000011010101110011110101101010002
  • Hexadecimal: 0x77F75F1730D5CF5A8
  • Base-36: T6TSL5TLV2QI0

Squares and roots of 138311721007506585000

  • 138311721007506585000 squared (1383117210075065850002) is 19130132168058338380421918818362225000000
  • 138311721007506585000 cubed (1383117210075065850003) is 2645921503265211972977272499901365210612360602751625000000000
  • The square root of 138311721007506585000 is 11760600367.6473330373
  • The cube root of 138311721007506585000 is 5171537.3041792001

Scales and comparisons

How big is 138311721007506585000?
  • 138,311,721,007,506,585,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,311,721,007,506,585,000 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 138311721007506585000 cubic inches would be around 430961.4 feet tall.

Recreational maths with 138311721007506585000

  • 138311721007506585000 backwards is 000585605700127113831
  • 138311721007506585000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138311721007506585000'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 138311721007506585000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.

APA style:
Numbermatics. (2024). Number 138311721007506585000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138311721007506585000/

Chicago style:
Numbermatics. 2024. "Number 138311721007506585000 - Facts about the integer". https://numbermatics.com/n/138311721007506585000/

The information we have on file for 138311721007506585000 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 138311721007506585000, math, Factors of 138311721007506585000, curriculum, school, college, exams, university, Prime factorization of 138311721007506585000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred eleven quadrillion, seven hundred twenty-one trillion, seven billion, five hundred six million, five hundred eighty-five thousand.

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