13842144
13,842,144 is an even composite number composed of four prime numbers multiplied together.
13842144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 13842144:
25 × 33 × 37 × 433
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 37 × 433)See below for interesting mathematical facts about the number 13842144 from the Numbermatics database.
Names of 13842144
- Cardinal: 13842144 can be written as Thirteen million, eight hundred forty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3842144 × 107
Factors of 13842144
Divisors of 13842144
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 433 444 592 666 864 866 888 999 1184 1299 1332 1732 1776 1998 2598 2664 3464 3552 3897 3996 5196 5328 6928 7794 7992 10392 10656 11691 13856 15588 15984 16021 20784 23382 31176 31968 32042 41568 46764 48063 62352 64084 93528 96126 124704 128168 144189 187056 192252 256336 288378 374112 384504 432567 512672 576756 769008 865134 1153512 1538016 1730268 2307024 3460536 4614048 6921072 13842144
- Sum of all divisors σ(n): 41559840
- Sum of proper divisors (its aliquot sum) s(n): 27717696
- 13842144 is an abundant number, because the sum of its proper divisors (27717696) is greater than itself. Its abundance is 13875552
Bases of 13842144
- Binary: 1101001100110110111000002
- Hexadecimal: 0xD336E0
- Base-36: 88OO0
Squares and roots of 13842144
- 13842144 squared (138421442) is 191604950516736
- 13842144 cubed (138421443) is 2652223316165534121984
-
The
square root of 13842144 is 3720.5031917739 -
The
cube root of 13842144 is 240.1049540959
Scales and comparisons
How big is 13842144?- 13,842,144 seconds is equal to 22 weeks, 6 days, 5 hours, 2 minutes, 24 seconds.
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To count from 1 to 13,842,144 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 13842144 cubic inches would be around 20 feet tall.
Recreational maths with 13842144
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The information we have on file for 13842144 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!
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