180144

180,144 is an even composite number composed of three prime numbers multiplied together.

What does the number 180144 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 50 divisors.

180144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty divisors.

Prime factorization of 180144:

2⁴ × 3⁴ × 139

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 139)

See below for interesting mathematical facts about the number 180144 from the Numbermatics database.

Names of 180144

Cardinal: 180144 can be written as One hundred eighty thousand, one hundred forty-four.

Scientific notation

Scientific notation: 1.80144 × 10⁵

Factors of 180144

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 144

Divisors of 180144

Number of divisors d(n): 50
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 139 144 162 216 278 324 417 432 556 648 834 1112 1251 1296 1668 2224 2502 3336 3753 5004 6672 7506 10008 11259 15012 20016 22518 30024 45036 60048 90072 180144
Sum of all divisors σ(n): 525140
Sum of proper divisors (its aliquot sum) s(n): 344996
180144 is an abundant number, because the sum of its proper divisors (344996) is greater than itself. Its abundance is 164852

Bases of 180144

Binary: 101011111110110000₂
Hexadecimal: 0x2BFB0
Base-36: 3V00

Squares and roots of 180144

180144 squared (180144²) is 32451860736
180144 cubed (180144³) is 5846008000425984
The square root of 180144 is 424.4337404119
The cube root of 180144 is 56.4772142961

Scales and comparisons

How big is 180144?

180,144 seconds is equal to 2 days, 2 hours, 2 minutes, 24 seconds.
To count from 1 to 180,144 would take you about two days.

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 180144 cubic inches would be around 4.7 feet tall.

Recreational maths with 180144

180144 backwards is 441081
180144 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 180144's digits is 18
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/180144/?utm_source=shared">Number 180144 - 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/180144/?utm_source=shared]Number 180144 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 180144 - Facts about the integer". Numbermatics.com. 2024. Web. 25 April 2024.

APA style:
Numbermatics. (2024). Number 180144 - Facts about the integer. Retrieved 25 April 2024, from https://numbermatics.com/n/180144/

Chicago style:
Numbermatics. 2024. "Number 180144 - Facts about the integer". https://numbermatics.com/n/180144/

The information we have on file for 180144 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 180144, math, Factors of 180144, curriculum, school, college, exams, university, Prime factorization of 180144, STEM, science, technology, engineering, physics, economics, calculator, one hundred eighty thousand, one hundred forty-four.