213504605921224800

213,504,605,921,224,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 213504605921224800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 18144 divisors.

213504605921224800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eighteen thousand, one hundred forty-four divisors.

Prime factorization of 213504605921224800:

25 × 36 × 52 × 73 × 133 × 172 × 412

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 17 × 17 × 41 × 41)

See below for interesting mathematical facts about the number 213504605921224800 from the Numbermatics database.


Names of 213504605921224800

  • Cardinal: 213504605921224800 can be written as Two hundred thirteen quadrillion, five hundred four trillion, six hundred five billion, nine hundred twenty-one million, two hundred twenty-four thousand, eight hundred.

Scientific notation

  • Scientific notation: 2.135046059212248 × 1017

Factors of 213504605921224800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 88

Divisors of 213504605921224800

Bases of 213504605921224800

  • Binary: 10111101101000010101001110110100011101100000101000011000002
  • Hexadecimal: 0x2F6854ED1D82860
  • Base-36: 1ME92DWVXI00

Squares and roots of 213504605921224800

  • 213504605921224800 squared (2135046059212248002) is 45584216749577499929063132135040000
  • 213504605921224800 cubed (2135046059212248003) is 9732440233346238997528334503205719947675796992000000
  • The square root of 213504605921224800 is 462065586.1684840947
  • The cube root of 213504605921224800 is 597680.4946400001

Scales and comparisons

How big is 213504605921224800?
  • 213,504,605,921,224,800 seconds is equal to 6,788,786,055 years, 9 weeks, 5 days, 6 hours.
  • To count from 1 to 213,504,605,921,224,800 would take you about twenty billion, three hundred sixty-six million, three hundred fifty-eight thousand, one hundred sixty-five 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 213504605921224800 cubic inches would be around 49806.7 feet tall.

Recreational maths with 213504605921224800

  • 213504605921224800 backwards is 008422129506405312
  • 213504605921224800 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 213504605921224800's digits is 54
  • 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 213504605921224800 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.

APA style:
Numbermatics. (2024). Number 213504605921224800 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/213504605921224800/

Chicago style:
Numbermatics. 2024. "Number 213504605921224800 - Facts about the integer". https://numbermatics.com/n/213504605921224800/

The information we have on file for 213504605921224800 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 213504605921224800, math, Factors of 213504605921224800, curriculum, school, college, exams, university, Prime factorization of 213504605921224800, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen quadrillion, five hundred four trillion, six hundred five billion, nine hundred twenty-one million, two 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.