137029872
137,029,872 is an even composite number composed of five prime numbers multiplied together.
137029872 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred divisors.
Prime factorization of 137029872:
24 × 3 × 74 × 29 × 41
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 29 × 41)See below for interesting mathematical facts about the number 137029872 from the Numbermatics database.
Names of 137029872
- Cardinal: 137029872 can be written as One hundred thirty-seven million, twenty-nine thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 1.37029872 × 108
Factors of 137029872
Divisors of 137029872
- Number of divisors d(n): 200
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 41 42 48 49 56 58 82 84 87 98 112 116 123 147 164 168 174 196 203 232 246 287 294 328 336 343 348 392 406 464 492 574 588 609 656 686 696 784 812 861 984 1029 1148 1176 1189 1218 1372 1392 1421 1624 1722 1968 2009 2058 2296 2352 2378 2401 2436 2744 2842 3248 3444 3567 4018 4116 4263 4592 4756 4802 4872 5488 5684 6027 6888 7134 7203 8036 8232 8323 8526 9512 9604 9744 9947 11368 12054 13776 14063 14268 14406 16072 16464 16646 17052 19024 19208 19894 22736 24108 24969 28126 28536 28812 29841 32144 33292 34104 38416 39788 42189 48216 49938 56252 57072 57624 58261 59682 66584 68208 69629 79576 84378 96432 98441 99876 112504 115248 116522 119364 133168 139258 159152 168756 174783 196882 199752 208887 225008 233044 238728 278516 295323 337512 349566 393764 399504 407827 417774 466088 477456 557032 590646 675024 699132 787528 815654 835548 932176 1114064 1181292 1223481 1398264 1575056 1631308 1671096 2362584 2446962 2796528 2854789 3262616 3342192 4725168 4893924 5709578 6525232 8564367 9787848 11419156 17128734 19575696 22838312 34257468 45676624 68514936 137029872
- Sum of all divisors σ(n): 437628240
- Sum of proper divisors (its aliquot sum) s(n): 300598368
- 137029872 is an abundant number, because the sum of its proper divisors (300598368) is greater than itself. Its abundance is 163568496
Bases of 137029872
- Binary: 10000010101011101000111100002
- Hexadecimal: 0x82AE8F0
- Base-36: 29L0XC
Squares and roots of 137029872
- 137029872 squared (1370298722) is 18777185820336384
- 137029872 cubed (1370298723) is 2573035369480909696462848
-
The
square root of 137029872 is 11705.9759097651 -
The
cube root of 137029872 is 515.5511390107
Scales and comparisons
How big is 137029872?- 137,029,872 seconds is equal to 4 years, 18 weeks, 3 days, 23 hours, 51 minutes, 12 seconds.
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To count from 1 to 137,029,872 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 137029872 cubic inches would be around 43 feet tall.
Recreational maths with 137029872
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