345138439471718400

345,138,439,471,718,400 is an even composite number composed of eight prime numbers multiplied together.

What does the number 345138439471718400 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 5376 divisors.

345138439471718400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five thousand, three hundred seventy-six divisors.

Prime factorization of 345138439471718400:

213 × 33 × 52 × 17 × 41 × 61 × 67 × 21911

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 41 × 61 × 67 × 21911)

See below for interesting mathematical facts about the number 345138439471718400 from the Numbermatics database.


Names of 345138439471718400

  • Cardinal: 345138439471718400 can be written as Three hundred forty-five quadrillion, one hundred thirty-eight trillion, four hundred thirty-nine billion, four hundred seventy-one million, seven hundred eighteen thousand, four hundred.

Scientific notation

  • Scientific notation: 3.451384394717184 × 1017

Factors of 345138439471718400

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 22107

Divisors of 345138439471718400

Bases of 345138439471718400

  • Binary: 100110010100010110110010101000000110000101101100000000000002
  • Hexadecimal: 0x4CA2D95030B6000
  • Base-36: 2MEDD68311C0

Squares and roots of 345138439471718400

  • 345138439471718400 squared (3451384394717184002) is 119120542400973025669673448898560000
  • 345138439471718400 cubed (3451384394717184003) is 41113078113296493829257177904652555584750485504000000
  • The square root of 345138439471718400 is 587484841.9080431049
  • The cube root of 345138439471718400 is 701451.7079962477

Scales and comparisons

How big is 345138439471718400?
  • 345,138,439,471,718,400 seconds is equal to 10,974,334,791 years, 47 weeks, 3 days.
  • To count from 1 to 345,138,439,471,718,400 would take you about thirty-two billion, nine hundred twenty-three million, four thousand, three hundred seventy-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 345138439471718400 cubic inches would be around 58454.3 feet tall.

Recreational maths with 345138439471718400

  • 345138439471718400 backwards is 004817174934831543
  • 345138439471718400 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 345138439471718400'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 345138439471718400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.

APA style:
Numbermatics. (2024). Number 345138439471718400 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/345138439471718400/

Chicago style:
Numbermatics. 2024. "Number 345138439471718400 - Facts about the integer". https://numbermatics.com/n/345138439471718400/

The information we have on file for 345138439471718400 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 345138439471718400, math, Factors of 345138439471718400, curriculum, school, college, exams, university, Prime factorization of 345138439471718400, STEM, science, technology, engineering, physics, economics, calculator, three hundred forty-five quadrillion, one hundred thirty-eight trillion, four hundred thirty-nine billion, four hundred seventy-one million, seven hundred eighteen thousand, four hundred.

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