137129328
137,129,328 is an even composite number composed of five prime numbers multiplied together.
137129328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 137129328:
24 × 33 × 7 × 137 × 331
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 137 × 331)See below for interesting mathematical facts about the number 137129328 from the Numbermatics database.
Names of 137129328
- Cardinal: 137129328 can be written as One hundred thirty-seven million, one hundred twenty-nine thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37129328 × 108
Factors of 137129328
Divisors of 137129328
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 137 144 168 189 216 252 274 331 336 378 411 432 504 548 662 756 822 959 993 1008 1096 1233 1324 1512 1644 1918 1986 2192 2317 2466 2648 2877 2979 3024 3288 3699 3836 3972 4634 4932 5296 5754 5958 6576 6951 7398 7672 7944 8631 8937 9268 9864 11508 11916 13902 14796 15344 15888 17262 17874 18536 19728 20853 23016 23832 25893 27804 29592 34524 35748 37072 41706 45347 46032 47664 51786 55608 59184 62559 69048 71496 83412 90694 103572 111216 125118 136041 138096 142992 166824 181388 207144 250236 272082 317429 333648 362776 408123 414288 500472 544164 634858 725552 816246 952287 1000944 1088328 1224369 1269716 1632492 1904574 2176656 2448738 2539432 2856861 3264984 3809148 4897476 5078864 5713722 6529968 7618296 8570583 9794952 11427444 15236592 17141166 19589904 22854888 34282332 45709776 68564664 137129328
- Sum of all divisors σ(n): 454494720
- Sum of proper divisors (its aliquot sum) s(n): 317365392
- 137129328 is an abundant number, because the sum of its proper divisors (317365392) is greater than itself. Its abundance is 180236064
Bases of 137129328
- Binary: 10000010110001101101011100002
- Hexadecimal: 0x82C6D70
- Base-36: 29N5O0
Squares and roots of 137129328
- 137129328 squared (1371293282) is 18804452597731584
- 137129328 cubed (1371293283) is 2578641948134786438295552
-
The
square root of 137129328 is 11710.2232258825 -
The
cube root of 137129328 is 515.6758375001
Scales and comparisons
How big is 137129328?- 137,129,328 seconds is equal to 4 years, 18 weeks, 5 days, 3 hours, 28 minutes, 48 seconds.
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To count from 1 to 137,129,328 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 137129328 cubic inches would be around 43 feet tall.
Recreational maths with 137129328
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