338893638332401152

338,893,638,332,401,152 is an even composite number composed of seven prime numbers multiplied together.

What does the number 338893638332401152 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 15360 divisors.

338893638332401152 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of fifteen thousand, three hundred sixty divisors.

Prime factorization of 338893638332401152:

29 × 37 × 73 × 112 × 13 × 23 × 293

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 11 × 13 × 23 × 29 × 29 × 29)

See below for interesting mathematical facts about the number 338893638332401152 from the Numbermatics database.


Names of 338893638332401152

  • Cardinal: 338893638332401152 can be written as Three hundred thirty-eight quadrillion, eight hundred ninety-three trillion, six hundred thirty-eight billion, three hundred thirty-two million, four hundred one thousand, one hundred fifty-two.

Scientific notation

  • Scientific notation: 3.38893638332401152 × 1017

Factors of 338893638332401152

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 26
  • Sum of prime factors: 88

Divisors of 338893638332401152

Bases of 338893638332401152

  • Binary: 100101100111111110111110111111100010111000101000110000000002
  • Hexadecimal: 0x4B3FDF7F1714600
  • Base-36: 2KOVRO6OO000

Squares and roots of 338893638332401152

  • 338893638332401152 squared (3388936383324011522) is 114848898102172315463832477850927104
  • 338893638332401152 cubed (3388936383324011523) is 38921560936312377725514537204140437920027005637623808
  • The square root of 338893638332401152 is 582145719.1566396393
  • The cube root of 338893638332401152 is 697195.3343404425

Scales and comparisons

How big is 338893638332401152?
  • 338,893,638,332,401,152 seconds is equal to 10,775,769,432 years, 6 weeks, 1 day, 16 hours, 19 minutes, 12 seconds.
  • To count from 1 to 338,893,638,332,401,152 would take you about thirty-two billion, three hundred twenty-seven million, three hundred eight thousand, two hundred ninety-six 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 338893638332401152 cubic inches would be around 58099.6 feet tall.

Recreational maths with 338893638332401152

  • 338893638332401152 backwards is 251104233836398833
  • 338893638332401152 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 338893638332401152'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 338893638332401152 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.

APA style:
Numbermatics. (2024). Number 338893638332401152 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/338893638332401152/

Chicago style:
Numbermatics. 2024. "Number 338893638332401152 - Facts about the integer". https://numbermatics.com/n/338893638332401152/

The information we have on file for 338893638332401152 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 338893638332401152, math, Factors of 338893638332401152, curriculum, school, college, exams, university, Prime factorization of 338893638332401152, STEM, science, technology, engineering, physics, economics, calculator, three hundred thirty-eight quadrillion, eight hundred ninety-three trillion, six hundred thirty-eight billion, three hundred thirty-two million, four hundred one thousand, one hundred fifty-two.

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