828120965

828,120,965 is an odd composite number composed of four prime numbers multiplied together.

What does the number 828120965 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

828120965 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 828120965:

5 × 7 × 47² × 10711

(5 × 7 × 47 × 47 × 10711)

See below for interesting mathematical facts about the number 828120965 from the Numbermatics database.

Names of 828120965

Cardinal: 828120965 can be written as Eight hundred twenty-eight million, one hundred twenty thousand, nine hundred sixty-five.

Scientific notation

Scientific notation: 8.28120965 × 10⁸

Factors of 828120965

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 5
Sum of prime factors: 10770

Divisors of 828120965

Number of divisors d(n): 24
Complete list of divisors:
1 5 7 35 47 235 329 1645 2209 10711 11045 15463 53555 74977 77315 374885 503417 2517085 3523919 17619595 23660599 118302995 165624193 828120965
Sum of all divisors σ(n): 1160495232
Sum of proper divisors (its aliquot sum) s(n): 332374267
828120965 is a deficient number, because the sum of its proper divisors (332374267) is less than itself. Its deficiency is 495746698

Bases of 828120965

Binary: 110001010111000001111110000101₂
Hexadecimal: 0x315C1F85
Base-36: DP1I85

Squares and roots of 828120965

828120965 squared (828120965²) is 685784332672531225
828120965 cubed (828120965³) is 567912383354657587039632125
The square root of 828120965 is 28777.0909752879
The cube root of 828120965 is 939.0699133591

Scales and comparisons

How big is 828120965?

828,120,965 seconds is equal to 26 years, 17 weeks, 1 day, 17 hours, 36 minutes, 5 seconds.
To count from 1 to 828,120,965 would take you about thirty-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 828120965 cubic inches would be around 78.3 feet tall.

Recreational maths with 828120965

828120965 backwards is 569021828
The number of decimal digits it has is: 9
The sum of 828120965's digits is 41
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.

<a href="https://numbermatics.com/n/828120965/?utm_source=shared">Number 828120965 - Facts about the integer</a>

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

[url=https://numbermatics.com/n/828120965/?utm_source=shared]Number 828120965 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 828120965 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.

APA style:
Numbermatics. (2024). Number 828120965 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/828120965/

Chicago style:
Numbermatics. 2024. "Number 828120965 - Facts about the integer". https://numbermatics.com/n/828120965/

The information we have on file for 828120965 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 828120965, math, Factors of 828120965, curriculum, school, college, exams, university, Prime factorization of 828120965, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-eight million, one hundred twenty thousand, nine hundred sixty-five.