47967661314800640

47,967,661,314,800,640 is an even composite number composed of seven prime numbers multiplied together.

What does the number 47967661314800640 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 7128 divisors.

47967661314800640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven thousand, one hundred twenty-eight divisors.

Prime factorization of 47967661314800640:

210 × 35 × 5 × 72 × 192 × 732 × 409

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 19 × 19 × 73 × 73 × 409)

See below for interesting mathematical facts about the number 47967661314800640 from the Numbermatics database.


Names of 47967661314800640

  • Cardinal: 47967661314800640 can be written as Forty-seven quadrillion, nine hundred sixty-seven trillion, six hundred sixty-one billion, three hundred fourteen million, eight hundred thousand, six hundred forty.

Scientific notation

  • Scientific notation: 4.796766131480064 × 1016

Factors of 47967661314800640

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 518

Divisors of 47967661314800640

Bases of 47967661314800640

  • Binary: 101010100110101001010101011101010101111111111100000000002
  • Hexadecimal: 0xAA6A55755FFC00
  • Base-36: D4B47EAIO00

Squares and roots of 47967661314800640

  • 47967661314800640 squared (479676613148006402) is 2300896532011421863305522944409600
  • 47967661314800640 cubed (479676613148006403) is 110368625567923232918003753903732676380426502144000
  • The square root of 47967661314800640 is 219015207.9532392655
  • The cube root of 47967661314800640 is 363342.4845490923

Scales and comparisons

How big is 47967661314800640?
  • 47,967,661,314,800,640 seconds is equal to 1,525,223,256 years, 4 weeks, 5 days, 14 hours, 24 minutes.
  • To count from 1 to 47,967,661,314,800,640 would take you about four billion, five hundred seventy-five million, six hundred sixty-nine thousand, seven hundred sixty-eight 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 47967661314800640 cubic inches would be around 30278.5 feet tall.

Recreational maths with 47967661314800640

  • 47967661314800640 backwards is 04600841316676974
  • 47967661314800640 is a Harshad number.
  • The number of decimal digits it has is: 17
  • The sum of 47967661314800640'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 47967661314800640 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.

APA style:
Numbermatics. (2024). Number 47967661314800640 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/47967661314800640/

Chicago style:
Numbermatics. 2024. "Number 47967661314800640 - Facts about the integer". https://numbermatics.com/n/47967661314800640/

The information we have on file for 47967661314800640 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 47967661314800640, math, Factors of 47967661314800640, curriculum, school, college, exams, university, Prime factorization of 47967661314800640, STEM, science, technology, engineering, physics, economics, calculator, forty-seven quadrillion, nine hundred sixty-seven trillion, six hundred sixty-one billion, three hundred fourteen million, eight hundred thousand, six hundred forty.

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