137906275416
137,906,275,416 is an even composite number composed of five prime numbers multiplied together.
137906275416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 137906275416:
23 × 3 × 76 × 132 × 172
(2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 17 × 17)See below for interesting mathematical facts about the number 137906275416 from the Numbermatics database.
Names of 137906275416
- Cardinal: 137906275416 can be written as One hundred thirty-seven billion, nine hundred six million, two hundred seventy-five thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.37906275416 × 1011
Factors of 137906275416
Divisors of 137906275416
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 49 51 52 56 68 78 84 91 98 102 104 119 136 147 156 168 169 182 196 204 221 238 273 289 294 312 338 343 357 364 392 408 442 476 507 546 578 588 637 663 676 686 714 728 833 867 884 952 1014 1029 1092 1156 1176 1183 1274 1326 1352 1372 1428 1547 1666 1734 1768 1911 2023 2028 2058 2184 2312 2366 2401 2499 2548 2652 2744 2856 2873 3094 3332 3468 3549 3757 3822 4046 4056 4116 4459 4641 4732 4802 4998 5096 5304 5746 5831 6069 6188 6664 6936 7098 7203 7514 7644 8092 8232 8281 8619 8918 9282 9464 9604 9996 10829 11271 11492 11662 12138 12376 13377 14161 14196 14406 15028 15288 16184 16562 16807 17238 17493 17836 18564 19208 19992 20111 21658 22542 22984 23324 24276 24843 26299 26754 28322 28392 28812 30056 31213 32487 33124 33614 34476 34986 35672 37128 40222 40817 42483 43316 45084 46648 48552 48841 49686 50421 52598 53508 56644 57624 57967 60333 62426 64974 66248 67228 68952 69972 75803 78897 80444 81634 84966 86632 90168 93639 97682 99127 99372 100842 105196 107016 113288 115934 117649 120666 122451 124852 129948 134456 139944 140777 146523 151606 157794 160888 163268 169932 173901 184093 187278 195364 198254 198744 201684 210392 218491 227409 231868 235298 241332 244902 249704 259896 281554 285719 293046 297381 303212 315588 326536 339864 341887 347802 352947 368186 374556 390728 396508 403368 405769 422331 436982 454818 463736 470596 482664 489804 530621 552279 563108 571438 586092 594762 606424 631176 655473 683774 693889 695604 705894 736372 749112 793016 811538 844662 857157 873964 909636 941192 979608 985439 1025661 1061242 1104558 1126216 1142876 1172184 1189524 1217307 1288651 1310946 1367548 1387778 1391208 1411788 1472744 1529437 1591863 1623076 1689324 1714314 1747928 1819272 1970878 2000033 2051322 2081667 2122484 2209116 2285752 2379048 2393209 2434614 2577302 2621892 2735096 2775556 2823576 2840383 2956317 3058874 3183726 3246152 3378648 3428628 3714347 3865953 3941756 4000066 4102644 4163334 4244968 4418232 4588311 4786418 4857223 4869228 5154604 5243784 5551112 5680766 5912634 6000099 6117748 6367452 6857256 6898073 7179627 7428694 7731906 7883512 8000132 8205288 8326668 8521149 9020557 9176622 9572836 9714446 9738456 10309208 11143041 11361532 11825268 12000198 12235496 12734904 13796146 14359254 14571669 14857388 15463812 16000264 16653336 16752463 17042298 18041114 18353244 19145672 19428892 19882681 20694219 22286082 22723064 23650536 24000396 26000429 27061671 27592292 28718508 29143338 29714776 30927624 33504926 34000561 34084596 36082228 36706488 38857784 39765362 41388438 44572164 48000792 48286511 50257389 52000858 54123342 55184584 57437016 58286676 59648043 63143899 67009852 68001122 68169192 72164456 78001287 79530724 82776876 89144328 96573022 100514778 102001683 104001716 108246684 116573352 117267241 119296086 126287798 134019704 136002244 144859533 156002574 159061448 165553752 189431697 193146044 201029556 204003366 208003432 216493368 234534482 238592172 252575596 272004488 289719066 312005148 338005577 351801723 378863394 386292088 402059112 408006732 442007293 469068964 477184344 505151192 579438132 624010296 676011154 703603446 757726788 816013464 820870687 884014586 938137928 1014016731 1158876264 1326021879 1352022308 1407206892 1515453576 1641741374 1768029172 2028033462 2462612061 2652043758 2704044616 2814413784 3283482748 3536058344 4056066924 4925224122 5304087516 5746094809 6566965496 8112133848 9850448244 10608175032 11492189618 17238284427 19700896488 22984379236 34476568854 45968758472 68953137708 137906275416
- Sum of all divisors σ(n): 462674131020
- Sum of proper divisors (its aliquot sum) s(n): 324767855604
- 137906275416 is an abundant number, because the sum of its proper divisors (324767855604) is greater than itself. Its abundance is 186861580188
Bases of 137906275416
- Binary: 100000000110111101101011000100010110002
- Hexadecimal: 0x201BDAC458
- Base-36: 1RCPU34O
Squares and roots of 137906275416
- 137906275416 squared (1379062754162) is 19018140799113645973056
- 137906275416 cubed (1379062754163) is 2622720962942832790244180051191296
-
The
square root of 137906275416 is 371357.3419443865 -
The
cube root of 137906275416 is 5166.4790942343
Scales and comparisons
How big is 137906275416?- 137,906,275,416 seconds is equal to 4,384 years, 51 weeks, 4 days, 10 hours, 43 minutes, 36 seconds.
-
To count from 1 to 137,906,275,416 would take you about eight thousand, seven hundred sixty-nine 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 137906275416 cubic inches would be around 430.5 feet tall.
Recreational maths with 137906275416
- 137906275416 backwards is 614572609731
- 137906275416 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137906275416's digits is 51
- More coming soon!
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