138306095011794124800

138,306,095,011,794,124,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138306095011794124800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 27648 divisors.

138306095011794124800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twenty-seven thousand, six hundred forty-eight divisors.

Prime factorization of 138306095011794124800:

217 × 33 × 52 × 73 × 113 × 23 × 533

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 23 × 53 × 53 × 53)

See below for interesting mathematical facts about the number 138306095011794124800 from the Numbermatics database.


Names of 138306095011794124800

  • Cardinal: 138306095011794124800 can be written as One hundred thirty-eight quintillion, three hundred six quadrillion, ninety-five trillion, eleven billion, seven hundred ninety-four million, one hundred twenty-four thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.383060950117941248 × 1020

Factors of 138306095011794124800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 32
  • Sum of prime factors: 104

Divisors of 138306095011794124800

Bases of 138306095011794124800

  • Binary: 11101111111011000011111010010100010110110010110101000000000000000002
  • Hexadecimal: 0x77F61F4A2D96A0000
  • Base-36: T6S96WUUUS5C0

Squares and roots of 138306095011794124800

  • 138306095011794124800 squared (1383060950117941248002) is 19128575917411423690200413379797975040000
  • 138306095011794124800 cubed (1383060950117941248003) is 2645598638273821330598333765893510029102795916409044992000000
  • The square root of 138306095011794124800 is 11760361176.9279486189
  • The cube root of 138306095011794124800 is 5171467.1837271537

Scales and comparisons

How big is 138306095011794124800?
  • 138,306,095,011,794,124,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,306,095,011,794,124,800 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 138306095011794124800 cubic inches would be around 430955.6 feet tall.

Recreational maths with 138306095011794124800

  • 138306095011794124800 backwards is 008421497110590603831
  • 138306095011794124800 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138306095011794124800's digits is 72
  • 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 138306095011794124800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.

APA style:
Numbermatics. (2024). Number 138306095011794124800 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138306095011794124800/

Chicago style:
Numbermatics. 2024. "Number 138306095011794124800 - Facts about the integer". https://numbermatics.com/n/138306095011794124800/

The information we have on file for 138306095011794124800 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 138306095011794124800, math, Factors of 138306095011794124800, curriculum, school, college, exams, university, Prime factorization of 138306095011794124800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred six quadrillion, ninety-five trillion, eleven billion, seven hundred ninety-four million, one hundred twenty-four 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.