137903628416400000

137,903,628,416,400,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 137903628416400000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 13824 divisors.

137903628416400000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of thirteen thousand, eight hundred twenty-four divisors.

Prime factorization of 137903628416400000:

27 × 33 × 55 × 73 × 112 × 29 × 1032

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 29 × 103 × 103)

See below for interesting mathematical facts about the number 137903628416400000 from the Numbermatics database.


Names of 137903628416400000

  • Cardinal: 137903628416400000 can be written as One hundred thirty-seven quadrillion, nine hundred three trillion, six hundred twenty-eight billion, four hundred sixteen million, four hundred thousand.

Scientific notation

  • Scientific notation: 1.379036284164 × 1017

Factors of 137903628416400000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 160

Divisors of 137903628416400000

Bases of 137903628416400000

  • Binary: 1111010011110111010011110100100001111111100111010100000002
  • Hexadecimal: 0x1E9EE9E90FF3A80
  • Base-36: 11PUR8B4YAO0

Squares and roots of 137903628416400000

  • 137903628416400000 squared (1379036284164000002) is 19017410730408525571788960000000000
  • 137903628416400000 cubed (1379036284164000003) is 2622569942808315426622582082439802944000000000000000
  • The square root of 137903628416400000 is 371353777.9751271091
  • The cube root of 137903628416400000 is 516644.6038557921

Scales and comparisons

How big is 137903628416400000?
  • 137,903,628,416,400,000 seconds is equal to 4,384,908,819 years, 37 weeks.
  • To count from 1 to 137,903,628,416,400,000 would take you about thirteen billion, one hundred fifty-four million, seven hundred twenty-six thousand, four hundred fifty-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 137903628416400000 cubic inches would be around 43053.7 feet tall.

Recreational maths with 137903628416400000

  • 137903628416400000 backwards is 000004614826309731
  • 137903628416400000 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 137903628416400000'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 137903628416400000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.

APA style:
Numbermatics. (2024). Number 137903628416400000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/137903628416400000/

Chicago style:
Numbermatics. 2024. "Number 137903628416400000 - Facts about the integer". https://numbermatics.com/n/137903628416400000/

The information we have on file for 137903628416400000 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 137903628416400000, math, Factors of 137903628416400000, curriculum, school, college, exams, university, Prime factorization of 137903628416400000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, nine hundred three trillion, six hundred twenty-eight billion, four hundred sixteen million, four hundred thousand.

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