513978601264128

513,978,601,264,128 is an even composite number composed of eight prime numbers multiplied together.

What does the number 513978601264128 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 6336 divisors.

513978601264128 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six thousand, three hundred thirty-six divisors.

Prime factorization of 513978601264128:

210 × 33 × 72 × 11 × 13 × 23 × 31 × 612

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 13 × 23 × 31 × 61 × 61)

See below for interesting mathematical facts about the number 513978601264128 from the Numbermatics database.


Names of 513978601264128

  • Cardinal: 513978601264128 can be written as Five hundred thirteen trillion, nine hundred seventy-eight billion, six hundred one million, two hundred sixty-four thousand, one hundred twenty-eight.

Scientific notation

  • Scientific notation: 5.13978601264128 × 1014

Factors of 513978601264128

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 151

Divisors of 513978601264128

Bases of 513978601264128

  • Binary: 11101001101110101111101111111001101010100000000002
  • Hexadecimal: 0x1D375F7F35400
  • Base-36: 526UICNPC0

Squares and roots of 513978601264128

  • 513978601264128 squared (5139786012641282) is 264174002557429480919619600384
  • 513978601264128 cubed (5139786012641283) is 135779784324813777706711009593884668594225152
  • The square root of 513978601264128 is 22671096.1637087145
  • The cube root of 513978601264128 is 80102.9196866199

Scales and comparisons

How big is 513978601264128?
  • 513,978,601,264,128 seconds is equal to 16,342,929 years, 35 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
  • To count from 1 to 513,978,601,264,128 would take you about forty million, eight hundred fifty-seven thousand, three hundred twenty-four 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 513978601264128 cubic inches would be around 6675.2 feet tall.

Recreational maths with 513978601264128

  • 513978601264128 backwards is 821462106879315
  • 513978601264128 is a Harshad number.
  • The number of decimal digits it has is: 15
  • The sum of 513978601264128'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 513978601264128 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.

APA style:
Numbermatics. (2024). Number 513978601264128 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/513978601264128/

Chicago style:
Numbermatics. 2024. "Number 513978601264128 - Facts about the integer". https://numbermatics.com/n/513978601264128/

The information we have on file for 513978601264128 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 513978601264128, math, Factors of 513978601264128, curriculum, school, college, exams, university, Prime factorization of 513978601264128, STEM, science, technology, engineering, physics, economics, calculator, five hundred thirteen trillion, nine hundred seventy-eight billion, six hundred one million, two hundred sixty-four thousand, one hundred twenty-eight.

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