13344864
13,344,864 is an even composite number composed of five prime numbers multiplied together.
13344864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 13344864:
25 × 3 × 13 × 172 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 17 × 37)See below for interesting mathematical facts about the number 13344864 from the Numbermatics database.
Names of 13344864
- Cardinal: 13344864 can be written as Thirteen million, three hundred forty-four thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.3344864 × 107
Factors of 13344864
Divisors of 13344864
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 37 39 48 51 52 68 74 78 96 102 104 111 136 148 156 204 208 221 222 272 289 296 312 408 416 442 444 481 544 578 592 624 629 663 816 867 884 888 962 1156 1184 1248 1258 1326 1443 1632 1734 1768 1776 1887 1924 2312 2516 2652 2886 3468 3536 3552 3757 3774 3848 4624 5032 5304 5772 6936 7072 7514 7548 7696 8177 9248 10064 10608 10693 11271 11544 13872 15028 15096 15392 16354 20128 21216 21386 22542 23088 24531 27744 30056 30192 32079 32708 42772 45084 46176 49062 60112 60384 64158 65416 85544 90168 98124 120224 128316 130832 139009 171088 180336 196248 256632 261664 278018 342176 360672 392496 417027 513264 556036 784992 834054 1026528 1112072 1668108 2224144 3336216 4448288 6672432 13344864
- Sum of all divisors σ(n): 41157648
- Sum of proper divisors (its aliquot sum) s(n): 27812784
- 13344864 is an abundant number, because the sum of its proper divisors (27812784) is greater than itself. Its abundance is 14467920
Bases of 13344864
- Binary: 1100101110100000011000002
- Hexadecimal: 0xCBA060
- Base-36: 7Y0YO
Squares and roots of 13344864
- 13344864 squared (133448642) is 178085395178496
- 13344864 cubed (133448643) is 2376525379043284844544
-
The
square root of 13344864 is 3653.0622770493 -
The
cube root of 13344864 is 237.1945561893
Scales and comparisons
How big is 13344864?- 13,344,864 seconds is equal to 22 weeks, 10 hours, 54 minutes, 24 seconds.
-
To count from 1 to 13,344,864 would take you about thirty-three 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 13344864 cubic inches would be around 19.8 feet tall.
Recreational maths with 13344864
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