13830144

13,830,144 is an even composite number composed of three prime numbers multiplied together.

What does the number 13830144 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

13830144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 13830144:

2¹¹ × 3 × 2251

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 2251)

See below for interesting mathematical facts about the number 13830144 from the Numbermatics database.

Names of 13830144

Cardinal: 13830144 can be written as Thirteen million, eight hundred thirty thousand, one hundred forty-four.

Scientific notation

Scientific notation: 1.3830144 × 10⁷

Factors of 13830144

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 13
Sum of prime factors: 2256

Divisors of 13830144

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2251 3072 4502 6144 6753 9004 13506 18008 27012 36016 54024 72032 108048 144064 216096 288128 432192 576256 864384 1152512 1728768 2305024 3457536 4610048 6915072 13830144
Sum of all divisors σ(n): 36887760
Sum of proper divisors (its aliquot sum) s(n): 23057616
13830144 is an abundant number, because the sum of its proper divisors (23057616) is greater than itself. Its abundance is 9227472

Bases of 13830144

Binary: 110100110000100000000000₂
Hexadecimal: 0xD30800
Base-36: 88FEO

Squares and roots of 13830144

13830144 squared (13830144²) is 191272883060736
13830144 cubed (13830144³) is 2645331516025139625984
The square root of 13830144 is 3718.8901570227
The cube root of 13830144 is 240.0355502893

Scales and comparisons

How big is 13830144?

13,830,144 seconds is equal to 22 weeks, 6 days, 1 hour, 42 minutes, 24 seconds.
To count from 1 to 13,830,144 would take you about thirty-four weeks!

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 13830144 cubic inches would be around 20 feet tall.

Recreational maths with 13830144

13830144 backwards is 44103831
13830144 is a Harshad number.
The number of decimal digits it has is: 8
The sum of 13830144's digits is 24
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/13830144/?utm_source=shared">Number 13830144 - 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/13830144/?utm_source=shared]Number 13830144 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 13830144 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.

APA style:
Numbermatics. (2024). Number 13830144 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/13830144/

Chicago style:
Numbermatics. 2024. "Number 13830144 - Facts about the integer". https://numbermatics.com/n/13830144/

The information we have on file for 13830144 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 13830144, math, Factors of 13830144, curriculum, school, college, exams, university, Prime factorization of 13830144, STEM, science, technology, engineering, physics, economics, calculator, thirteen million, eight hundred thirty thousand, one hundred forty-four.