144144
144,144 is an even composite number composed of five prime numbers multiplied together.
144144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 144144:
24 × 32 × 7 × 11 × 13
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13)See below for interesting mathematical facts about the number 144144 from the Numbermatics database.
Names of 144144
- Cardinal: 144144 can be written as One hundred forty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.44144 × 105
Factors of 144144
Divisors of 144144
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 33 36 39 42 44 48 52 56 63 66 72 77 78 84 88 91 99 104 112 117 126 132 143 144 154 156 168 176 182 198 208 231 234 252 264 273 286 308 312 336 364 396 429 462 468 504 528 546 572 616 624 693 728 792 819 858 924 936 1001 1008 1092 1144 1232 1287 1386 1456 1584 1638 1716 1848 1872 2002 2184 2288 2574 2772 3003 3276 3432 3696 4004 4368 5148 5544 6006 6552 6864 8008 9009 10296 11088 12012 13104 16016 18018 20592 24024 36036 48048 72072 144144
- Sum of all divisors σ(n): 541632
- Sum of proper divisors (its aliquot sum) s(n): 397488
- 144144 is an abundant number, because the sum of its proper divisors (397488) is greater than itself. Its abundance is 253344
Bases of 144144
- Binary: 1000110011000100002
- Hexadecimal: 0x23310
- Base-36: 3380
Squares and roots of 144144
- 144144 squared (1441442) is 20777492736
- 144144 cubed (1441443) is 2994950912937984
-
The
square root of 144144 is 379.6630084693 -
The
cube root of 144144 is 52.4322936729
Scales and comparisons
How big is 144144?- 144,144 seconds is equal to 1 day, 16 hours, 2 minutes, 24 seconds.
-
To count from 1 to 144,144 would take you about sixteen hours.
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 144144 cubic inches would be around 4.4 feet tall.
Recreational maths with 144144
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 144144 - Facts about the integer". Numbermatics.com. 2024. Web. 25 April 2024.
APA style:
Numbermatics. (2024). Number 144144 - Facts about the integer. Retrieved 25 April 2024, from https://numbermatics.com/n/144144/
Chicago style:
Numbermatics. 2024. "Number 144144 - Facts about the integer". https://numbermatics.com/n/144144/
The information we have on file for 144144 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 144144, math, Factors of 144144, curriculum, school, college, exams, university, Prime factorization of 144144, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-four thousand, one hundred forty-four.