137003680
137,003,680 is an even composite number composed of six prime numbers multiplied together.
137003680 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 137003680:
25 × 5 × 11 × 17 × 19 × 241
(2 × 2 × 2 × 2 × 2 × 5 × 11 × 17 × 19 × 241)See below for interesting mathematical facts about the number 137003680 from the Numbermatics database.
Names of 137003680
- Cardinal: 137003680 can be written as One hundred thirty-seven million, three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3700368 × 108
Factors of 137003680
Divisors of 137003680
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 19 20 22 32 34 38 40 44 55 68 76 80 85 88 95 110 136 152 160 170 176 187 190 209 220 241 272 304 323 340 352 374 380 418 440 482 544 608 646 680 748 760 836 880 935 964 1045 1205 1292 1360 1496 1520 1615 1672 1760 1870 1928 2090 2410 2584 2651 2720 2992 3040 3230 3344 3553 3740 3856 4097 4180 4579 4820 5168 5302 5984 6460 6688 7106 7480 7712 8194 8360 9158 9640 10336 10604 12920 13255 14212 14960 16388 16720 17765 18316 19280 20485 21208 22895 25840 26510 28424 29920 32776 33440 35530 36632 38560 40970 42416 45067 45790 50369 51680 53020 56848 65552 71060 73264 77843 81940 84832 90134 91580 100738 106040 113696 131104 142120 146528 155686 163880 180268 183160 201476 212080 225335 251845 284240 311372 327760 360536 366320 389215 402952 424160 450670 503690 568480 622744 655520 721072 732640 778430 805904 856273 901340 1007380 1245488 1442144 1556860 1611808 1712546 1802680 2014760 2490976 3113720 3425092 3605360 4029520 4281365 6227440 6850184 7210720 8059040 8562730 12454880 13700368 17125460 27400736 34250920 68501840 137003680
- Sum of all divisors σ(n): 395176320
- Sum of proper divisors (its aliquot sum) s(n): 258172640
- 137003680 is an abundant number, because the sum of its proper divisors (258172640) is greater than itself. Its abundance is 121168960
Bases of 137003680
- Binary: 10000010101010000010101000002
- Hexadecimal: 0x82A82A0
- Base-36: 29KGPS
Squares and roots of 137003680
- 137003680 squared (1370036802) is 18770008333542400
- 137003680 cubed (1370036803) is 2571560215325976236032000
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The
square root of 137003680 is 11704.8571114729 -
The
cube root of 137003680 is 515.5182892981
Scales and comparisons
How big is 137003680?- 137,003,680 seconds is equal to 4 years, 18 weeks, 3 days, 16 hours, 34 minutes, 40 seconds.
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To count from 1 to 137,003,680 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 137003680 cubic inches would be around 43 feet tall.
Recreational maths with 137003680
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