137536931177984

Names of 137536931177984

• Cardinal: 137536931177984 can be written as One hundred thirty-seven trillion, five hundred thirty-six billion, nine hundred thirty-one million, one hundred seventy-seven thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.37536931177984 × 10¹⁴

Factors of 137536931177984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 680

Divisors of 137536931177984

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 8 13 16 17 26 32 34 41 52 64 68 82 104 128 136 164 169 208 221 256 272 289 328 338 416 442 512 533 544 578 607 656 676 697 832 884 1066 1088 1156 1214 1312 1352 1394 1664 1768 2132 2176 2197 2312 2428 2624 2704 2788 2873 3328 3536 3757 4264 4352 4394 4624 4856 4913 5248 5408 5576 5746 6656 6929 7072 7514 7891 8528 8704 8788 9061 9248 9712 9826 10319 10496 10816 11152 11492 11849 13858 14144 15028 15782 17056 17576 18122 18496 19424 19652 20638 20992 21632 22304 22984 23698 24887 27716 28288 30056 31564 34112 35152 36244 36992 37349 38848 39304 41276 43264 44608 45968 47396 48841 49774 55432 56576 60112 63128 63869 68224 70304 72488 73984 74698 77696 78608 82552 86528 89216 90077 91936 94792 97682 99548 102583 110864 113152 117793 120224 126256 127738 134147 136448 140608 144976 147968 149396 154037 155392 157216 165104 175423 178432 180154 183872 189584 195364 199096 201433 205166 221728 235586 240448 252512 255476 268294 272896 281216 289952 298792 308074 310784 314432 323531 330208 350846 356864 360308 367744 379168 390728 398192 402866 410332 423079 443456 471172 480896 505024 510952 536588 562432 579904 597584 616148 628864 634933 647062 660416 701692 720616 735488 758336 781456 796384 805732 820664 830297 846158 886912 942344 961792 1010048 1021904 1073176 1124864 1159808 1195168 1232296 1257728 1269866 1294124 1320832 1333579 1403384 1441232 1470976 1516672 1531309 1562912 1592768 1611464 1641328 1660594 1692316 1743911 1773824 1884688 1923584 2002481 2020096 2043808 2146352 2280499 2319616 2390336 2464592 2515456 2539732 2588248 2618629 2641664 2667158 2806768 2882464 2982191 3033344 3062618 3125824 3185536 3222928 3282656 3321188 3384632 3487822 3547648 3769376 4004962 4040192 4087616 4205903 4292704 4560998 4639232 4780672 4929184 5079464 5176496 5237258 5283328 5334316 5500027 5613536 5764928 5964382 6066688 6125236 6251648 6371072 6445856 6565312 6642376 6769264 6975644 7192343 7538752 8009924 8175232 8411806 8585408 9121996 9561344 9858368 10158928 10352992 10474516 10668632 10793861 11000054 11227072 11529856 11928764 12250472 12503296 12742144 12891712 13130624 13284752 13538528 13951288 14384686 15077504 16019848 16350464 16823612 17170816 18243992 19122688 19716736 20317856 20705984 20949032 21337264 21587722 22000108 22454144 22670843 23059712 23857528 24500944 25006592 25783424 26032253 26261248 26569504 27077056 27902576 28769372 29646487 30155008 32039696 32700928 33647224 34042177 34341632 36487984 38768483 39433472 40635712 41411968 41898064 42674528 43175444 44000216 44908288 45341686 46119424 47715056 49001888 51566848 52064506 52522496 53139008 54154112 54676739 55805152 57538744 59292974 60310016 64079392 67294448 68084354 68683264 71500351 72975968 77536966 78866944 81271424 82823936 83796128 85349056 86350888 88000432 89816576 90683372 93500459 95430112 98003776 103133696 104129012 106278016 108308224 109353478 111610304 115077488 118585948 122269831 128158784 134588896 136168708 143000702 145951936 155073932 162542848 165647872 167592256 170698112 172701776 176000864 181366744 187000918 190860224 196007552 208258024 212556032 216616448 218706956 223220608 230154976 237171896 244539662 256317568 269177792 272337416 286001404 291903872 310147864 325085696 335184512 341396224 345403552 352001728 362733488 374001836 381720448 385404331 392015104 416516048 425112064 437413912 442548301 446441216 460309952 474343792 489079324 503990279 512635136 538355584 544674832 572002808 583807744 620295728 670369024 682792448 690807104 704003456 725466976 748003672 763440896 770808662 784030208 833032096 874827824 885096602 892882432 920619904 929504563 948687584 978158648 1007980558 1025270272 1076711168 1089349664 1144005616 1167615488 1215505967 1240591456 1340738048 1381614208 1408006912 1450933952 1496007344 1526881792 1541617324 1589507803 1666064192 1749655648 1770193204 1841239808 1859009126 1897375168 1956317296 2015961116 2153422336 2178699328 2288011232 2431011934 2481182912 2763228416 2816013824 2901867904 2992014688 3083234648 3179015606 3332128384 3499311296 3540386408 3682479616 3718018252 3794750336 3912634592 4031922232 4357398656 4576022464 4862023868 4962365824 5526456832 5803735808 5984029376 6166469296 6358031212 6551873627 6664256768 6998622592 7080772816 7436036504 7589500672 7825269184 8063844464 8714797312 9152044928 9724047736 9924731648 11607471616 11968058752 12332938592 12716062424 13103747254 13328513536 13997245184 14161545632 14872073008 15179001344 15650538368 15801577571 16127688928 17429594624 18304089856 19448095472 19849463296 20663601439 23936117504 24665877184 25432124848 26207494508 27994490368 28323091264 29744146016 31301076736 31603155142 32255377856 36608179712 38896190944 41327202878 47872235008 49331754368 50864249696 52414989016 56646182528 59488292032 62602153472 63206310284 64510755712 77792381888 82654405756 98663508736 101728499392 104829978032 113292365056 118976584064 126412620568 129021511424 155584763776 165308811512 197327017472 203456998784 209659956064 226584730112 237953168128 252825241136 258043022848 268626818707 311169527552 330617623024 406913997568 419319912128 475906336256 505650482272 537253637414 622339055104 661235246048 813827995136 838639824256 1011300964544 1074507274828 1322470492096 1677279648512 2022601929088 2149014549656 2644940984192 3354559297024 4045203858176 4298029099312 5289881968384 8090407716352 8596058198624 10579763936768 17192116397248 34384232794496 68768465588992 137536931177984
• Sum of all divisors σ(n): 324545777740800
• Sum of proper divisors (its aliquot sum) s(n): 187008846562816
• 137536931177984 is an abundant number, because the sum of its proper divisors (187008846562816) is greater than itself. Its abundance is 49471915384832

Bases of 137536931177984

• Binary: 11111010001011011001111111011010010011000000000₂
• Hexadecimal: 0x7D16CFED2600
• Base-36: 1CR3LDQ3NK

Squares and roots of 137536931177984

• 137536931177984 squared (137536931177984²) is 18916407437857507285886304256
• 137536931177984 cubed (137536931177984³) is 2601704627915312628830572479073666312699904
• The square root of 137536931177984 is 11727614.0445524553
• The cube root of 137536931177984 is 51618.6263677271

Scales and comparisons

• 137,536,931,177,984 seconds is equal to 4,373,248 years, 51 weeks, 8 hours, 59 minutes, 44 seconds.
• To count from 1 to 137,536,931,177,984 would take you about ten million, nine hundred thirty-three thousand, one hundred twenty-two 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 137536931177984 cubic inches would be around 4301.6 feet tall.

Recreational maths with 137536931177984

• 137536931177984 backwards is 489771139635731
• The number of decimal digits it has is: 15
• The sum of 137536931177984's digits is 74
• More coming soon!