329966144

329,966,144 is an even composite number composed of three prime numbers multiplied together.

What does the number 329966144 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

329966144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 329966144:

2⁶ × 137 × 37633

(2 × 2 × 2 × 2 × 2 × 2 × 137 × 37633)

See below for interesting mathematical facts about the number 329966144 from the Numbermatics database.

Names of 329966144

Cardinal: 329966144 can be written as Three hundred twenty-nine million, nine hundred sixty-six thousand, one hundred forty-four.

Scientific notation

Scientific notation: 3.29966144 × 10⁸

Factors of 329966144

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 37772

Divisors of 329966144

Number of divisors d(n): 28
Complete list of divisors:
1 2 4 8 16 32 64 137 274 548 1096 2192 4384 8768 37633 75266 150532 301064 602128 1204256 2408512 5155721 10311442 20622884 41245768 82491536 164983072 329966144
Sum of all divisors σ(n): 659573484
Sum of proper divisors (its aliquot sum) s(n): 329607340
329966144 is a deficient number, because the sum of its proper divisors (329607340) is less than itself. Its deficiency is 358804

Bases of 329966144

Binary: 10011101010101110001001000000₂
Hexadecimal: 0x13AAE240
Base-36: 5GGBI8

Squares and roots of 329966144

329966144 squared (329966144²) is 108877656186228736
329966144 cubed (329966144³) is 35925940379527641919913984
The square root of 329966144 is 18164.9702449523
The cube root of 329966144 is 691.0186899415

Scales and comparisons

How big is 329966144?

329,966,144 seconds is equal to 10 years, 25 weeks, 4 days, 1 hour, 15 minutes, 44 seconds.
To count from 1 to 329,966,144 would take you about fifteen 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 329966144 cubic inches would be around 57.6 feet tall.

Recreational maths with 329966144

329966144 backwards is 441669923
The number of decimal digits it has is: 9
The sum of 329966144's digits is 44
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/329966144/?utm_source=shared">Number 329966144 - 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/329966144/?utm_source=shared]Number 329966144 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 329966144 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.

APA style:
Numbermatics. (2024). Number 329966144 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/329966144/

Chicago style:
Numbermatics. 2024. "Number 329966144 - Facts about the integer". https://numbermatics.com/n/329966144/

The information we have on file for 329966144 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 329966144, math, Factors of 329966144, curriculum, school, college, exams, university, Prime factorization of 329966144, STEM, science, technology, engineering, physics, economics, calculator, three hundred twenty-nine million, nine hundred sixty-six thousand, one hundred forty-four.