10440144
10,440,144 is an even composite number composed of four prime numbers multiplied together.
10440144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 10440144:
24 × 33 × 11 × 133
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 13 × 13)See below for interesting mathematical facts about the number 10440144 from the Numbermatics database.
Names of 10440144
- Cardinal: 10440144 can be written as Ten million, four hundred forty thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.0440144 × 107
Factors of 10440144
Divisors of 10440144
- Number of divisors d(n): 160
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 169 176 198 208 216 234 264 286 297 312 338 351 396 429 432 468 507 528 572 594 624 676 702 792 858 936 1014 1144 1188 1287 1352 1404 1521 1584 1716 1859 1872 2028 2197 2288 2376 2574 2704 2808 3042 3432 3718 3861 4056 4394 4563 4752 5148 5577 5616 6084 6591 6864 7436 7722 8112 8788 9126 10296 11154 12168 13182 14872 15444 16731 17576 18252 19773 20592 22308 24167 24336 26364 29744 30888 33462 35152 36504 39546 44616 48334 50193 52728 59319 61776 66924 72501 73008 79092 89232 96668 100386 105456 118638 133848 145002 158184 193336 200772 217503 237276 267696 290004 316368 386672 401544 435006 474552 580008 652509 803088 870012 949104 1160016 1305018 1740024 2610036 3480048 5220072 10440144
- Sum of all divisors σ(n): 35414400
- Sum of proper divisors (its aliquot sum) s(n): 24974256
- 10440144 is an abundant number, because the sum of its proper divisors (24974256) is greater than itself. Its abundance is 14534112
Bases of 10440144
- Binary: 1001111101001101110100002
- Hexadecimal: 0x9F4DD0
- Base-36: 67RO0
Squares and roots of 10440144
- 10440144 squared (104401442) is 108996606740736
- 10440144 cubed (104401443) is 1137940269884654505984
-
The
square root of 10440144 is 3231.1211676445 -
The
cube root of 10440144 is 218.5590677911
Scales and comparisons
How big is 10440144?- 10,440,144 seconds is equal to 17 weeks, 1 day, 20 hours, 2 minutes, 24 seconds.
-
To count from 1 to 10,440,144 would take you about twenty-five 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 10440144 cubic inches would be around 18.2 feet tall.
Recreational maths with 10440144
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 10440144 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 10440144 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/10440144/
Chicago style:
Numbermatics. 2024. "Number 10440144 - Facts about the integer". https://numbermatics.com/n/10440144/
The information we have on file for 10440144 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 10440144, math, Factors of 10440144, curriculum, school, college, exams, university, Prime factorization of 10440144, STEM, science, technology, engineering, physics, economics, calculator, ten million, four hundred forty thousand, one hundred forty-four.