137905152
137,905,152 is an even composite number composed of five prime numbers multiplied together.
137905152 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 137905152:
210 × 3 × 7 × 112 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 53)See below for interesting mathematical facts about the number 137905152 from the Numbermatics database.
Names of 137905152
- Cardinal: 137905152 can be written as One hundred thirty-seven million, nine hundred five thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.37905152 × 108
Factors of 137905152
Divisors of 137905152
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 53 56 64 66 77 84 88 96 106 112 121 128 132 154 159 168 176 192 212 224 231 242 256 264 308 318 336 352 363 371 384 424 448 462 484 512 528 583 616 636 672 704 726 742 768 847 848 896 924 968 1024 1056 1113 1166 1232 1272 1344 1408 1452 1484 1536 1694 1696 1749 1792 1848 1936 2112 2226 2332 2464 2541 2544 2688 2816 2904 2968 3072 3388 3392 3498 3584 3696 3872 4081 4224 4452 4664 4928 5082 5088 5376 5632 5808 5936 6413 6776 6784 6996 7168 7392 7744 8162 8448 8904 9328 9856 10164 10176 10752 11264 11616 11872 12243 12826 13552 13568 13992 14784 15488 16324 16896 17808 18656 19239 19712 20328 20352 21504 23232 23744 24486 25652 27104 27136 27984 29568 30976 32648 33792 35616 37312 38478 39424 40656 40704 44891 46464 47488 48972 51304 54208 54272 55968 59136 61952 65296 71232 74624 76956 78848 81312 81408 89782 92928 94976 97944 102608 108416 111936 118272 123904 130592 134673 142464 149248 153912 162624 162816 179564 185856 189952 195888 205216 216832 223872 236544 261184 269346 284928 298496 307824 325248 359128 371712 379904 391776 410432 433664 447744 522368 538692 569856 596992 615648 650496 718256 783552 820864 867328 895488 1044736 1077384 1139712 1231296 1300992 1436512 1567104 1641728 1790976 2089472 2154768 2462592 2601984 2873024 3134208 3283456 4178944 4309536 4925184 5746048 6268416 6566912 8619072 9850368 11492096 12536832 17238144 19700736 22984192 34476288 45968384 68952576 137905152
- Sum of all divisors σ(n): 470449728
- Sum of proper divisors (its aliquot sum) s(n): 332544576
- 137905152 is an abundant number, because the sum of its proper divisors (332544576) is greater than itself. Its abundance is 194639424
Bases of 137905152
- Binary: 10000011100001000100000000002
- Hexadecimal: 0x8384400
- Base-36: 2A3SAO
Squares and roots of 137905152
- 137905152 squared (1379051522) is 19017830948143104
- 137905152 cubed (1379051523) is 2622656867613978874871808
-
The
square root of 137905152 is 11743.3024315991 -
The
cube root of 137905152 is 516.6465065091
Scales and comparisons
How big is 137905152?- 137,905,152 seconds is equal to 4 years, 20 weeks, 2 hours, 59 minutes, 12 seconds.
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To count from 1 to 137,905,152 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 137905152 cubic inches would be around 43.1 feet tall.
Recreational maths with 137905152
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