978506813271142400

978,506,813,271,142,400 is an even composite number composed of six prime numbers multiplied together.

What does the number 978506813271142400 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 2808 divisors.

978506813271142400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eight divisors.

Prime factorization of 978506813271142400:

212 × 52 × 7 × 173 × 792 × 2112

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 17 × 17 × 79 × 79 × 211 × 211)

See below for interesting mathematical facts about the number 978506813271142400 from the Numbermatics database.


Names of 978506813271142400

  • Cardinal: 978506813271142400 can be written as Nine hundred seventy-eight quadrillion, five hundred six trillion, eight hundred thirteen billion, two hundred seventy-one million, one hundred forty-two thousand, four hundred.

Scientific notation

  • Scientific notation: 9.785068132711424 × 1017

Factors of 978506813271142400

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 22
  • Sum of prime factors: 321

Divisors of 978506813271142400

Bases of 978506813271142400

  • Binary: 1101100101000101101011000011001001110101001101110000000000002
  • Hexadecimal: 0xD945AC327537000
  • Base-36: 7FMRPSBOEGOW

Squares and roots of 978506813271142400

  • 978506813271142400 squared (9785068132711424002) is 957475583618046340459860601077760000
  • 978506813271142400 cubed (9785068132711424003) is 936896382111021761573288919248367009820546433024000000
  • The square root of 978506813271142400 is 989195032.9794132159
  • The cube root of 978506813271142400 is 992783.6540399995

Scales and comparisons

How big is 978506813271142400?
  • 978,506,813,271,142,400 seconds is equal to 31,113,489,941 years, 37 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
  • To count from 1 to 978,506,813,271,142,400 would take you about ninety-three billion, three hundred forty million, four hundred sixty-nine thousand, eight hundred twenty-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 978506813271142400 cubic inches would be around 82732 feet tall.

Recreational maths with 978506813271142400

  • 978506813271142400 backwards is 004241172318605879
  • 978506813271142400 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 978506813271142400's digits is 68
  • 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 978506813271142400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.

APA style:
Numbermatics. (2024). Number 978506813271142400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/978506813271142400/

Chicago style:
Numbermatics. 2024. "Number 978506813271142400 - Facts about the integer". https://numbermatics.com/n/978506813271142400/

The information we have on file for 978506813271142400 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 978506813271142400, math, Factors of 978506813271142400, curriculum, school, college, exams, university, Prime factorization of 978506813271142400, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-eight quadrillion, five hundred six trillion, eight hundred thirteen billion, two hundred seventy-one million, one hundred forty-two 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.