144239424
144,239,424 is an even composite number composed of six prime numbers multiplied together.
What does the number 144239424 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
144239424 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 144239424:
26 × 3 × 7 × 17 × 59 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 59 × 107)See below for interesting mathematical facts about the number 144239424 from the Numbermatics database.
Names of 144239424
- Cardinal: 144239424 can be written as One hundred forty-four million, two hundred thirty-nine thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.44239424 × 108
Factors of 144239424
Divisors of 144239424
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 59 64 68 84 96 102 107 112 118 119 136 168 177 192 204 214 224 236 238 272 321 336 354 357 408 413 428 448 472 476 544 642 672 708 714 749 816 826 856 944 952 1003 1088 1239 1284 1344 1416 1428 1498 1632 1652 1712 1819 1888 1904 2006 2247 2478 2568 2832 2856 2996 3009 3264 3304 3424 3638 3776 3808 4012 4494 4956 5136 5457 5664 5712 5992 6018 6313 6608 6848 7021 7276 7616 8024 8988 9912 10272 10914 11328 11424 11984 12036 12626 12733 13216 14042 14552 16048 17976 18939 19824 20544 21063 21828 22848 23968 24072 25252 25466 26432 28084 29104 32096 35952 37878 38199 39648 42126 43656 44191 47936 48144 50504 50932 56168 58208 64192 71904 75756 76398 79296 84252 87312 88382 96288 101008 101864 107321 112336 116416 132573 143808 151512 152796 168504 174624 176764 192576 202016 203728 214642 224672 265146 303024 305592 321963 337008 349248 353528 404032 407456 429284 449344 530292 606048 611184 643926 674016 707056 751247 814912 858568 1060584 1212096 1222368 1287852 1348032 1414112 1502494 1717136 2121168 2253741 2444736 2575704 2828224 3004988 3434272 4242336 4507482 5151408 6009976 6868544 8484672 9014964 10302816 12019952 18029928 20605632 24039904 36059856 48079808 72119712 144239424
- Sum of all divisors σ(n): 474024960
- Sum of proper divisors (its aliquot sum) s(n): 329785536
- 144239424 is an abundant number, because the sum of its proper divisors (329785536) is greater than itself. Its abundance is 185546112
Bases of 144239424
- Binary: 10001001100011101011010000002
- Hexadecimal: 0x898EB40
- Base-36: 2DVJUO
Squares and roots of 144239424
- 144239424 squared (1442394242) is 20805011435851776
- 144239424 cubed (1442394243) is 3000902865820673119617024
-
The
square root of 144239424 is 12009.9718567531 -
The
cube root of 144239424 is 524.4386126155
Scales and comparisons
How big is 144239424?- 144,239,424 seconds is equal to 4 years, 30 weeks, 3 days, 10 hours, 30 minutes, 24 seconds.
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To count from 1 to 144,239,424 would take you about six years!
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 144239424 cubic inches would be around 43.7 feet tall.
Recreational maths with 144239424
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