137207952
137,207,952 is an even composite number composed of five prime numbers multiplied together.
137207952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 137207952:
24 × 33 × 7 × 172 × 157
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 17 × 157)See below for interesting mathematical facts about the number 137207952 from the Numbermatics database.
Names of 137207952
- Cardinal: 137207952 can be written as One hundred thirty-seven million, two hundred seven thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.37207952 × 108
Factors of 137207952
Divisors of 137207952
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 157 168 189 204 216 238 252 272 289 306 314 336 357 378 408 432 459 471 476 504 578 612 628 714 756 816 867 918 942 952 1008 1071 1099 1156 1224 1256 1413 1428 1512 1734 1836 1884 1904 2023 2142 2198 2312 2448 2512 2601 2669 2826 2856 3024 3213 3297 3468 3672 3768 4046 4239 4284 4396 4624 5202 5338 5652 5712 6069 6426 6594 6936 7344 7536 7803 8007 8092 8478 8568 8792 9891 10404 10676 11304 12138 12852 13188 13872 15606 16014 16184 16956 17136 17584 18207 18683 19782 20808 21352 22608 24021 24276 25704 26376 29673 31212 32028 32368 33912 36414 37366 39564 41616 42704 45373 48042 48552 51408 52752 54621 56049 59346 62424 64056 67824 72063 72828 74732 79128 90746 96084 97104 109242 112098 118692 124848 128112 136119 144126 145656 149464 158256 168147 181492 192168 218484 224196 237384 272238 288252 291312 298928 317611 336294 362984 384336 408357 436968 448392 474768 504441 544476 576504 635222 672588 725968 816714 873936 896784 952833 1008882 1088952 1153008 1225071 1270444 1345176 1633428 1905666 2017764 2177904 2450142 2540888 2690352 2858499 3266856 3811332 4035528 4900284 5081776 5716998 6533712 7622664 8071056 8575497 9800568 11433996 15245328 17150994 19601136 22867992 34301988 45735984 68603976 137207952
- Sum of all divisors σ(n): 481179520
- Sum of proper divisors (its aliquot sum) s(n): 343971568
- 137207952 is an abundant number, because the sum of its proper divisors (343971568) is greater than itself. Its abundance is 206763616
Bases of 137207952
- Binary: 10000010110110100000100100002
- Hexadecimal: 0x82DA090
- Base-36: 29OUC0
Squares and roots of 137207952
- 137207952 squared (1372079522) is 18826022092034304
- 137207952 cubed (1372079523) is 2583079935554782365585408
-
The
square root of 137207952 is 11713.5798114839 -
The
cube root of 137207952 is 515.7743740451
Scales and comparisons
How big is 137207952?- 137,207,952 seconds is equal to 4 years, 18 weeks, 6 days, 1 hour, 19 minutes, 12 seconds.
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To count from 1 to 137,207,952 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 137207952 cubic inches would be around 43 feet tall.
Recreational maths with 137207952
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