137152042757856

Names of 137152042757856

• Cardinal: 137152042757856 can be written as One hundred thirty-seven trillion, one hundred fifty-two billion, forty-two million, seven hundred fifty-seven thousand, eight hundred fifty-six.

Scientific notation

• Scientific notation: 1.37152042757856 × 10¹⁴

Factors of 137152042757856

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 482

Divisors of 137152042757856

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 73 81 84 96 108 112 126 144 146 162 168 189 216 219 224 243 252 288 292 324 336 378 397 432 438 486 504 511 567 584 648 657 672 729 756 794 864 876 972 1008 1022 1134 1168 1191 1296 1314 1458 1512 1533 1588 1701 1752 1944 1971 2016 2044 2268 2336 2382 2592 2628 2779 2916 3024 3066 3176 3402 3504 3573 3888 3942 4088 4536 4599 4764 5103 5256 5329 5558 5832 5913 6048 6132 6352 6804 7008 7146 7776 7884 8176 8337 9072 9198 9528 10206 10512 10658 10719 11116 11664 11826 12264 12704 13608 13797 14292 15768 15987 16352 16674 17739 18144 18396 19056 20412 21024 21316 21438 22232 23328 23652 24528 25011 27216 27594 28584 28981 31536 31974 32157 33348 35478 36792 37303 38112 40824 41391 42632 42876 44464 47304 47961 49056 50022 53217 54432 55188 57168 57962 63072 63948 64314 66696 70956 73584 74606 75033 81648 82782 85264 85752 86943 88928 94608 95922 96471 100044 106434 110376 111909 114336 115924 124173 127896 128628 133392 141912 143883 147168 149212 150066 157609 163296 165564 170528 171504 173886 189216 191844 192942 200088 202867 212868 220752 223818 225099 231848 248346 255792 257256 260829 266784 283824 287766 289413 298424 300132 315218 331128 335727 343008 347772 372519 383688 385884 400176 405734 425736 431649 441504 447636 450198 463696 472827 496692 511584 514512 521658 567648 575532 578826 596848 600264 608601 630436 662256 671454 675297 695544 745038 767376 771768 782487 800352 811468 851472 863298 895272 900396 927392 945654 993384 1007181 1029024 1043316 1103263 1151064 1157652 1193696 1200528 1217202 1260872 1294947 1324512 1342908 1350594 1391088 1418481 1490076 1534752 1543536 1564974 1622936 1702944 1726596 1790544 1800792 1825803 1891308 1986768 2014362 2025891 2086632 2115613 2206526 2302128 2315304 2347461 2401056 2434404 2521744 2589894 2685816 2701188 2782176 2836962 2980152 3021543 3087072 3129948 3245872 3309789 3453192 3581088 3601584 3651606 3782616 3884841 3973536 4028724 4051782 4173264 4231226 4255443 4413052 4604256 4630608 4694922 4868808 5043488 5179788 5371632 5402376 5477409 5673924 5960304 6043086 6259896 6346839 6491744 6619578 6906384 7042383 7203168 7303212 7565232 7769682 8057448 8103564 8346528 8462452 8510886 8826104 9064629 9261216 9389844 9737616 9929367 10359576 10743264 10804752 10954818 11347848 11505457 11920608 12086172 12519792 12693678 12766329 13239156 13812768 14084766 14606424 14809291 15130464 15539364 16114896 16207128 16432227 16924904 17021772 17652208 18129258 18779688 19040517 19475232 19858734 20719152 21127149 21609504 21909636 22695696 23010914 24172344 25039584 25387356 25532658 26478312 27193887 28169532 29212848 29618582 29788101 31078728 32229792 32414256 32864454 33849808 34043544 34516371 35304416 36258516 37559376 38081034 38298987 39717468 41438304 42254298 43819272 44427873 45391392 46021828 48344688 49296681 50774712 51065316 52956624 54387774 56339064 57121551 58425696 59237164 59576202 62157456 64828512 65728908 67699616 68087088 69032742 72517032 75118752 76162068 76597974 79434936 80538199 84508596 87638544 88855746 89364303 92043656 96689376 98593362 101549424 102130632 103549113 105913248 108775548 112678128 114243102 114896961 118474328 119152404 124314912 131457816 133283619 136174176 138065484 145034064 147890043 152324136 153195948 158869872 161076398 169017192 171364653 175277088 177711492 178728606 184087312 197186724 203098848 204261264 207098226 217551096 225356256 228486204 229793922 236948656 238304808 241614597 262915632 266567238 268092909 276130968 290068128 295780086 304648272 306391896 310647339 317739744 322152796 338034384 342729306 355422984 357457212 368174624 394373448 399850857 408522528 414196452 435102192 456972408 459587844 473897312 476609616 483229194 514093959 525831264 533134476 536185818 552261936 591560172 609296544 612783792 621294678 644305592 676068768 685458612 710845968 714914424 724843791 788746896 799701714 804278727 828392904 839898361 870204384 913944816 919175688 931942017 953219232 966458388 1028187918 1066268952 1072371636 1104523872 1183120344 1199552571 1225567584 1242589356 1288611184 1370917224 1421691936 1429828848 1449687582 1542281877 1577493792 1599403428 1608557454 1656785808 1679796722 1827889632 1838351376 1863884034 1932916776 2056375836 2132537904 2144743272 2174531373 2366240688 2399105142 2485178712 2519695083 2577222368 2741834448 2795826051 2859657696 2899375164 3084563754 3198806856 3217114908 3313571616 3359593444 3598657713 3676702752 3727768068 3865833552 4112751672 4265075808 4289486544 4349062746 4732481376 4798210284 4970357424 5039390166 5483668896 5591652102 5798750328 5879288527 6169127508 6397613712 6434229816 6523594119 6719186888 7197315426 7455536136 7559085249 7731667104 8225503344 8387478153 8578973088 8698125492 9596420568 9940714848 10078780332 10795973139 11183304204 11597500656 11758577054 12338255016 12795227424 12868459632 13047188238 13438373776 14394630852 14911072272 15118170498 16451006688 16774956306 17396250984 17637865581 19192841136 19570782357 20157560664 21591946278 22366608408 22677255747 23195001312 23517154108 24676510032 25736919264 26094376476 26876747552 28789261704 29822144544 30236340996 33549912612 34792501968 35275731162 38385682272 39141564714 40315121328 43183892556 44733216816 45354511494 47034308216 49353020064 52188752952 52913596743 57578523408 58712347071 60472681992 67099825224 68031767241 69585003936 70551462324 78283129428 80630242656 86367785112 89466433632 90709022988 94068616432 104377505904 105827193486 115157046816 117424694142 120945363984 134199650448 136063534482 141102924648 156566258856 158740790229 172735570224 181418045976 188137232864 204095301723 208755011808 211654386972 234849388284 241890727968 268399300896 272127068964 282205849296 313132517712 317481580458 345471140448 362836091952 408190603446 423308773944 469698776568 476222370687 544254137928 564411698592 612285905169 626265035424 634963160916 725672183904 816381206892 846617547888 939397553136 952444741374 1088508275856 1224571810338 1269926321832 1428667112061 1632762413784 1693235095776 1878795106272 1904889482748 2177016551712 2449143620676 2539852643664 2857334224122 3265524827568 3809778965496 4286001336183 4898287241352 5079705287328 5714668448244 6531049655136 7619557930992 8572002672366 9796574482704 11429336896488 15239115861984 17144005344732 19593148965408 22858673792976 34288010689464 45717347585952 68576021378928 137152042757856
• Sum of all divisors σ(n): 470285938257912
• Sum of proper divisors (its aliquot sum) s(n): 333133895500056
• 137152042757856 is an abundant number, because the sum of its proper divisors (333133895500056) is greater than itself. Its abundance is 195981852742200

Bases of 137152042757856

• Binary: 11111001011110100110010110010011110111011100000₂
• Hexadecimal: 0x7CBD32C9EEE0
• Base-36: 1CM6S13I00

Squares and roots of 137152042757856

• 137152042757856 squared (137152042757856²) is 18810682832652760458249716736
• 137152042757856 cubed (137152042757856³) is 2579923576168459222608694826111272238678016
• The square root of 137152042757856 is 11711193.0544183243
• The cube root of 137152042757856 is 51570.4308932135

Scales and comparisons

• 137,152,042,757,856 seconds is equal to 4,361,010 years, 37 weeks, 3 days, 6 hours, 57 minutes, 36 seconds.
• To count from 1 to 137,152,042,757,856 would take you about ten million, nine hundred two thousand, five hundred twenty-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 137152042757856 cubic inches would be around 4297.5 feet tall.

Recreational maths with 137152042757856

• 137152042757856 backwards is 658757240251731
• 137152042757856 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137152042757856's digits is 63
• More coming soon!