820438900966370406400

820,438,900,966,370,406,400 is an even composite number composed of six prime numbers multiplied together.

What does the number 820438900966370406400 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 4992 divisors.

820438900966370406400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, nine hundred ninety-two divisors.

Prime factorization of 820438900966370406400:

212 × 52 × 19 × 313 × 413 × 593

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 31 × 31 × 31 × 41 × 41 × 41 × 59 × 59 × 59)

See below for interesting mathematical facts about the number 820438900966370406400 from the Numbermatics database.


Names of 820438900966370406400

  • Cardinal: 820438900966370406400 can be written as Eight hundred twenty quintillion, four hundred thirty-eight quadrillion, nine hundred trillion, nine hundred sixty-six billion, three hundred seventy million, four hundred six thousand, four hundred.

Scientific notation

  • Scientific notation: 8.204389009663704064 × 1020

Factors of 820438900966370406400

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 157

Divisors of 820438900966370406400

Bases of 820438900966370406400

  • Binary: 10110001111001111000001000000110001110101011000110010101110000000000002
  • Hexadecimal: 0x2C79E0818EAC657000
  • Base-36: 4T5B5XT2ME5UKG

Squares and roots of 820438900966370406400

  • 820438900966370406400 squared (8204389009663704064002) is 673119990218905747372609682365701160960000
  • 820438900966370406400 cubed (8204389009663704064003) is 552253824993693029081869749981229809203062888337867014144000000
  • The square root of 820438900966370406400 is 28643304644.6524812715
  • The cube root of 820438900966370406400 is 9361571.2723866859

Scales and comparisons

How big is 820438900966370406400?
  • 820,438,900,966,370,406,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 820,438,900,966,370,406,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 820438900966370406400 cubic inches would be around 780130.9 feet tall.

Recreational maths with 820438900966370406400

  • 820438900966370406400 backwards is 004604073669009834028
  • The number of decimal digits it has is: 21
  • The sum of 820438900966370406400's digits is 79
  • 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 820438900966370406400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.

APA style:
Numbermatics. (2024). Number 820438900966370406400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/820438900966370406400/

Chicago style:
Numbermatics. 2024. "Number 820438900966370406400 - Facts about the integer". https://numbermatics.com/n/820438900966370406400/

The information we have on file for 820438900966370406400 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 820438900966370406400, math, Factors of 820438900966370406400, curriculum, school, college, exams, university, Prime factorization of 820438900966370406400, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty quintillion, four hundred thirty-eight quadrillion, nine hundred trillion, nine hundred sixty-six billion, three hundred seventy million, four hundred six 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.