448131648114057600

448,131,648,114,057,600 is an even composite number composed of seven prime numbers multiplied together.

What does the number 448131648114057600 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 20736 divisors.

448131648114057600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twenty thousand, seven hundred thirty-six divisors.

Prime factorization of 448131648114057600:

27 × 37 × 52 × 75 × 112 × 23 × 372

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 23 × 37 × 37)

See below for interesting mathematical facts about the number 448131648114057600 from the Numbermatics database.


Names of 448131648114057600

  • Cardinal: 448131648114057600 can be written as Four hundred forty-eight quadrillion, one hundred thirty-one trillion, six hundred forty-eight billion, one hundred fourteen million, fifty-seven thousand, six hundred.

Scientific notation

  • Scientific notation: 4.481316481140576 × 1017

Factors of 448131648114057600

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 26
  • Sum of prime factors: 88

Divisors of 448131648114057600

Bases of 448131648114057600

  • Binary: 110001110000001010101011100000100100111001011100001100000002
  • Hexadecimal: 0x638155C1272E180
  • Base-36: 3EKHET3AU000

Squares and roots of 448131648114057600

  • 448131648114057600 squared (4481316481140576002) is 200821974041421544522858736117760000
  • 448131648114057600 cubed (4481316481140576003) is 89994682204700729396160901044219323449105022976000000
  • The square root of 448131648114057600 is 669426357.4987599785
  • The cube root of 448131648114057600 is 765247.4162990809

Scales and comparisons

How big is 448131648114057600?
  • 448,131,648,114,057,600 seconds is equal to 14,249,200,247 years, 43 weeks.
  • To count from 1 to 448,131,648,114,057,600 would take you about forty-two billion, seven hundred forty-seven million, six hundred thousand, seven hundred forty-three 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 448131648114057600 cubic inches would be around 63770.6 feet tall.

Recreational maths with 448131648114057600

  • 448131648114057600 backwards is 006750411846131844
  • 448131648114057600 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 448131648114057600'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 448131648114057600 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.

APA style:
Numbermatics. (2024). Number 448131648114057600 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/448131648114057600/

Chicago style:
Numbermatics. 2024. "Number 448131648114057600 - Facts about the integer". https://numbermatics.com/n/448131648114057600/

The information we have on file for 448131648114057600 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 448131648114057600, math, Factors of 448131648114057600, curriculum, school, college, exams, university, Prime factorization of 448131648114057600, STEM, science, technology, engineering, physics, economics, calculator, four hundred forty-eight quadrillion, one hundred thirty-one trillion, six hundred forty-eight billion, one hundred fourteen million, fifty-seven thousand, six hundred.

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