137181330
137,181,330 is an even composite number composed of seven prime numbers multiplied together.
137181330 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137181330:
2 × 33 × 5 × 112 × 13 × 17 × 19
(2 × 3 × 3 × 3 × 5 × 11 × 11 × 13 × 17 × 19)See below for interesting mathematical facts about the number 137181330 from the Numbermatics database.
Names of 137181330
- Cardinal: 137181330 can be written as One hundred thirty-seven million, one hundred eighty-one thousand, three hundred thirty.
Scientific notation
- Scientific notation: 1.3718133 × 108
Factors of 137181330
Divisors of 137181330
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 5 6 9 10 11 13 15 17 18 19 22 26 27 30 33 34 38 39 45 51 54 55 57 65 66 78 85 90 95 99 102 110 114 117 121 130 135 143 153 165 170 171 187 190 195 198 209 221 234 242 247 255 270 285 286 297 306 323 330 342 351 363 374 390 418 429 442 459 494 495 510 513 561 570 585 594 605 627 646 663 702 715 726 741 765 855 858 918 935 969 990 1026 1045 1089 1105 1122 1170 1210 1235 1254 1287 1326 1430 1482 1485 1530 1573 1615 1683 1710 1755 1815 1870 1881 1938 1989 2057 2090 2145 2178 2210 2223 2295 2299 2431 2470 2565 2574 2717 2805 2907 2970 3135 3146 3230 3267 3315 3366 3510 3553 3630 3705 3762 3861 3978 4114 4199 4290 4446 4590 4598 4719 4845 4862 5049 5130 5434 5445 5610 5643 5814 5967 6171 6270 6435 6534 6630 6669 6897 7106 7293 7410 7722 7865 8151 8398 8415 8721 9405 9438 9690 9945 10098 10285 10659 10890 11115 11286 11495 11934 12155 12342 12597 12870 13338 13585 13794 14157 14535 14586 15730 16302 16335 16830 17442 17765 18513 18810 19305 19890 20570 20691 20995 21318 21879 22230 22990 23595 24310 24453 25194 25245 26741 27170 28215 28314 29070 29835 29887 30855 31977 32670 33345 34485 35530 36465 37026 37791 38610 39083 40755 41382 41990 42471 43605 43758 46189 47190 48906 50490 53295 53482 55539 56430 59670 59774 61710 62073 62985 63954 65637 66690 68970 70785 72930 73359 75582 78166 80223 81510 84942 87210 89661 92378 92565 95931 103455 106590 109395 111078 113373 117249 122265 124146 125970 131274 133705 138567 141570 146718 149435 159885 160446 179322 185130 188955 191862 195415 206910 212355 218790 226746 230945 234498 240669 244530 267410 268983 277134 277695 298870 310365 319770 328185 351747 366795 377910 390830 401115 415701 424710 448305 461890 479655 481338 508079 537966 555390 566865 586245 620730 656370 692835 703494 722007 733590 802230 806949 831402 896610 959310 1016158 1055241 1133730 1172490 1203345 1247103 1344915 1385670 1444014 1524237 1613898 1758735 2078505 2110482 2406690 2494206 2540395 2689830 3048474 3517470 3610035 4034745 4157010 4572711 5080790 5276205 6235515 7220070 7621185 8069490 9145422 10552410 12471030 13718133 15242370 22863555 27436266 45727110 68590665 137181330
- Sum of all divisors σ(n): 482630400
- Sum of proper divisors (its aliquot sum) s(n): 345449070
- 137181330 is an abundant number, because the sum of its proper divisors (345449070) is greater than itself. Its abundance is 208267740
Bases of 137181330
- Binary: 10000010110100111000100100102
- Hexadecimal: 0x82D3892
- Base-36: 29O9SI
Squares and roots of 137181330
- 137181330 squared (1371813302) is 18818717300568900
- 137181330 cubed (1371813303) is 2581576668186051458637000
-
The
square root of 137181330 is 11712.4433830007 -
The
cube root of 137181330 is 515.7410138953
Scales and comparisons
How big is 137181330?- 137,181,330 seconds is equal to 4 years, 18 weeks, 5 days, 17 hours, 55 minutes, 30 seconds.
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To count from 1 to 137,181,330 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 137181330 cubic inches would be around 43 feet tall.
Recreational maths with 137181330
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