137132424
137,132,424 is an even composite number composed of six prime numbers multiplied together.
What does the number 137132424 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
137132424 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 137132424:
23 × 32 × 11 × 13 × 19 × 701
(2 × 2 × 2 × 3 × 3 × 11 × 13 × 19 × 701)See below for interesting mathematical facts about the number 137132424 from the Numbermatics database.
Names of 137132424
- Cardinal: 137132424 can be written as One hundred thirty-seven million, one hundred thirty-two thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.37132424 × 108
Factors of 137132424
Divisors of 137132424
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 18 19 22 24 26 33 36 38 39 44 52 57 66 72 76 78 88 99 104 114 117 132 143 152 156 171 198 209 228 234 247 264 286 312 342 396 418 429 456 468 494 572 627 684 701 741 792 836 858 936 988 1144 1254 1287 1368 1402 1482 1672 1716 1881 1976 2103 2223 2508 2574 2717 2804 2964 3432 3762 4206 4446 5016 5148 5434 5608 5928 6309 7524 7711 8151 8412 8892 9113 10296 10868 12618 13319 15048 15422 16302 16824 17784 18226 21736 23133 24453 25236 26638 27339 30844 32604 36452 39957 46266 48906 50472 53276 54678 61688 65208 69399 72904 79914 82017 92532 97812 100243 106552 109356 119871 138798 146509 159828 164034 173147 185064 195624 200486 218712 239742 277596 293018 300729 319656 328068 346294 400972 439527 479484 519441 555192 586036 601458 656136 692588 801944 879054 902187 958968 1038882 1172072 1202916 1318581 1385176 1558323 1758108 1804374 1904617 2077764 2405832 2637162 3116646 3516216 3608748 3809234 4155528 5274324 5713851 6233292 7217496 7618468 10548648 11427702 12466584 15236936 17141553 22855404 34283106 45710808 68566212 137132424
- Sum of all divisors σ(n): 459950400
- Sum of proper divisors (its aliquot sum) s(n): 322817976
- 137132424 is an abundant number, because the sum of its proper divisors (322817976) is greater than itself. Its abundance is 185685552
Bases of 137132424
- Binary: 10000010110001111001100010002
- Hexadecimal: 0x82C7988
- Base-36: 29N820
Squares and roots of 137132424
- 137132424 squared (1371324242) is 18805301712115776
- 137132424 cubed (1371324243) is 2578816607833786531521024
-
The
square root of 137132424 is 11710.3554173219 -
The
cube root of 137132424 is 515.6797183143
Scales and comparisons
How big is 137132424?- 137,132,424 seconds is equal to 4 years, 18 weeks, 5 days, 4 hours, 20 minutes, 24 seconds.
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To count from 1 to 137,132,424 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 137132424 cubic inches would be around 43 feet tall.
Recreational maths with 137132424
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