137014656381324000

Names of 137014656381324000

• Cardinal: 137014656381324000 can be written as One hundred thirty-seven quadrillion, fourteen trillion, six hundred fifty-six billion, three hundred eighty-one million, three hundred twenty-four thousand.

Scientific notation

• Scientific notation: 1.37014656381324 × 10¹⁷

Factors of 137014656381324000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1138

Divisors of 137014656381324000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 72 75 80 90 93 96 100 108 120 124 125 135 144 150 155 160 180 186 200 216 225 240 248 250 270 279 288 300 310 360 372 375 400 432 450 465 480 496 500 540 558 600 620 675 720 744 750 775 800 837 864 900 930 961 992 1000 1080 1097 1116 1125 1200 1240 1350 1395 1440 1488 1500 1550 1674 1800 1860 1922 2000 2160 2194 2232 2250 2325 2400 2480 2700 2790 2883 2976 3000 3100 3291 3348 3375 3600 3720 3844 3875 4000 4185 4320 4388 4464 4500 4650 4805 4960 5400 5485 5580 5766 6000 6200 6582 6696 6750 6975 7200 7440 7688 7750 8370 8649 8776 8928 9000 9300 9610 9873 10800 10970 11160 11532 11625 12000 12400 13164 13392 13500 13950 14415 14880 15376 15500 16455 16740 17298 17552 18000 18600 19220 19746 20925 21600 21940 22320 23064 23250 24025 24800 25947 26328 26784 27000 27425 27900 28830 29619 30752 31000 32910 33480 34007 34596 34875 35104 36000 37200 38440 39492 41850 43245 43880 44640 46128 46500 48050 49365 51894 52656 54000 54850 55800 57660 59238 62000 65820 66960 68014 69192 69750 72075 74400 76880 78984 82275 83700 86490 87760 92256 93000 96100 98730 102021 103788 104625 105312 108000 109700 111600 115320 118476 120125 124000 129735 131640 133920 136028 137125 138384 139500 144150 148095 153760 157968 164550 167400 170035 172980 175520 186000 192200 197460 204042 207576 209250 216225 219400 223200 230640 236952 240250 246825 259470 263280 272056 274250 276768 279000 288300 296190 306063 315936 329100 334800 340070 345960 360375 372000 384400 394920 408084 411375 415152 418500 432450 438800 461280 473904 480500 493650 510105 518940 526560 544112 548500 558000 576600 592380 612126 648675 658200 669600 680140 691920 720750 740475 768800 789840 816168 822750 830304 837000 850175 864900 877600 918189 947808 961000 987300 1020210 1037880 1054217 1081125 1088224 1097000 1116000 1153200 1184760 1203409 1224252 1234125 1297350 1316400 1360280 1383840 1441500 1480950 1530315 1579680 1632336 1645500 1674000 1700350 1729800 1836378 1922000 1974600 2040420 2075760 2108434 2162250 2194000 2306400 2369520 2406818 2448504 2468250 2550525 2594700 2632800 2720560 2883000 2961900 3060630 3162651 3243375 3264672 3291000 3348000 3400700 3459600 3610227 3672756 3702375 3844000 3949200 4080840 4151520 4216868 4250875 4324500 4388000 4590945 4739040 4813636 4897008 4936500 5101050 5189400 5271085 5441120 5766000 5923800 6017045 6121260 6325302 6486750 6582000 6801400 6919200 7220454 7345512 7404750 7651575 7898400 8161680 8433736 8501750 8649000 9181890 9487953 9627272 9794016 9873000 10202100 10378800 10542170 10830681 11532000 11847600 12034090 12242520 12650604 12752625 12973500 13164000 13602800 14440908 14691024 14809500 15303150 15813255 16323360 16867472 17003500 17298000 18051135 18363780 18975906 19254544 19746000 20404200 20757600 21084340 21661362 22954725 23695200 24068180 24485040 25301208 25505250 25947000 26355425 27205600 28463859 28881816 29382048 29619000 30085225 30606300 31626510 32492043 33734944 34007000 34596000 36102270 36727560 37305679 37951812 38257875 38509088 39492000 40808400 42168680 43322724 45909450 47439765 48136360 48970080 50602416 51010500 51894000 52710850 54153405 56927718 57763632 59238000 60170450 61212600 63253020 64984086 68014000 72204540 73455120 74611358 75903624 76515750 79066275 81616800 84337360 86645448 90255675 91818900 94879530 96272720 101204832 102021000 103788000 105421700 108306810 111917037 113855436 114773625 115527264 118476000 120340900 122425200 126506040 129968172 131777125 136028000 142319295 144409080 146910240 149222716 150426125 151807248 153031500 158132550 162460215 168674720 173290896 180511350 183637800 186528395 189759060 192545440 204042000 210843400 216613620 223834074 227710872 229547250 237198825 240681800 244850400 253012080 259936344 263554250 270767025 284638590 288818160 298445432 300852250 303614496 306063000 316265100 324920430 335751111 346581792 361022700 367275600 373056790 379518120 395331375 408084000 421686800 433227240 447668148 451278375 455421744 459094500 474397650 481363600 506024160 519872688 527108500 541534050 559585185 569277180 577636320 596890864 601704500 612126000 632530200 649840860 671502222 711596475 722045400 734551200 746113580 759036240 790662750 812301075 843373600 866454480 895336296 902556750 910843488 918189000 932641975 948795300 962727200 1007253333 1039745376 1054217000 1083068100 1119170370 1138554360 1156476049 1185994125 1193781728 1203409000 1224252000 1265060400 1299681720 1320139673 1343004444 1353835125 1423192950 1444090800 1492227160 1518072480 1581325500 1624602150 1678755555 1732908960 1790672592 1805113500 1836378000 1865283950 1897590600 2014506666 2108434000 2166136200 2238340740 2277108720 2312952098 2371988250 2406818000 2530120800 2599363440 2640279346 2686008888 2707670250 2797925925 2846385900 2888181600 2984454320 3162651000 3249204300 3357511110 3469428147 3557982375 3581345184 3610227000 3672756000 3730567900 3795181200 3960419019 4029013332 4061505375 4216868000 4332272400 4476681480 4554217440 4625904196 4663209875 4743976500 4813636000 5036266665 5198726880 5280558692 5372017776 5415340500 5595851850 5692771800 5782380245 5968908640 6325302000 6498408600 6600698365 6715022220 6938856294 7115964750 7220454000 7461135800 7590362400 7920838038 8058026664 8123010750 8393777775 8664544800 8953362960 9251808392 9326419750 9487953000 10072533330 10408284441 10561117384 10744035552 10830681000 11191703700 11385543600 11564760490 11881257057 12650604000 12996817200 13201396730 13430044440 13877712588 13989629625 14231929500 14440908000 14922271600 15841676076 16116053328 16246021500 16787555550 17347140735 17906725920 18503616784 18652839500 18975906000 19802095095 20145066660 20816568882 21122234768 21661362000 22383407400 22771087200 23129520980 23762514114 25181333325 25993634400 26402793460 26860088880 27755425176 27979259250 28463859000 28911901225 29844543200 31224853323 31683352152 32232106656 32492043000 33003491825 33575111100 34694281470 35643771171 37007233568 37305679000 37951812000 39604190190 40290133320 40924329863 41633137764 41968888875 42244469536 43322724000 44766814800 46259041960 47525028228 50362666650 52041422205 52805586920 53720177760 55510850352 55958518500 56927718000 57823802450 59406285285 62449706646 63366704304 64984086000 66006983650 67150222200 69388562940 71287542342 74611358000 79208380380 80580266640 81848659726 83266275528 83937777750 86735703675 89533629600 92518083920 95050056456 99010475475 100725333300 104082844410 105611173840 111021700704 111917037000 113855436000 115647604900 118812570570 122772989589 124899413292 125906666625 126733408608 129968172000 132013967300 134300444400 138777125880 142575084684 144559506125 149222716000 156124266615 158416760760 161160533280 163697319452 165017459125 166532551056 167875555500 173471407350 178218855855 185036167840 190100112912 198020950950 201450666600 204621649315 208165688820 211222347680 223834074000 231295209800 237625141140 245545979178 249798826584 251813333250 260207111025 264027934600 268600888800 277554251760 285150169368 289119012250 297031426425 312248533230 316833521520 327394638904 330034918250 333065102112 335751111000 346942814700 356437711710 368318968767 380200225824 396041901900 402901333200 409243298630 416331377640 433678518375 447668148000 462590419600 475250282280 491091958356 495052377375 499597653168 503626666500 520414222050 528055869200 555108503520 570300338736 578238024500 594062852850 613864947945 624497066460 633667043040 654789277808 660069836500 671502222000 693885629400 712875423420 736637937534 780621333075 792083803800 805802666400 818486597260 832662755280 867357036750 891094279275 925180839200 950500564560 982183916712 990104754750 999195306336 1007253333000 1023108246575 1040828444100 1056111738400 1104956906301 1140600677472 1156476049000 1188125705700 1227729895890 1248994132920 1268654225753 1301035555125 1309578555616 1320139673000 1343004444000 1387771258800 1425750846840 1473275875068 1485157132125 1561242666150 1584167607600 1636973194520 1665325510560 1734714073500 1782188558550 1841594843835 1901001129120 1964367833424 1980209509500 2014506666000 2046216493150 2081656888200 2209913812602 2312952098000 2376251411400 2455459791780 2497988265840 2537308451506 2602071110250 2640279346000 2775542517600 2851501693680 2946551750136 2970314264250 3069324739725 3122485332300 3168335215200 3273946389040 3469428147000 3564377117100 3683189687670 3805962677259 3903106665375 3928735666848 3960419019000 4029013332000 4092432986300 4163313776400 4419827625204 4455471396375 4625904196000 4752502822800 4910919583560 4995976531680 5074616903012 5115541232875 5204142220500 5280558692000 5524784531505 5703003387360 5893103500272 5940628528500 6138649479450 6244970664600 6343271128765 6547892778080 6938856294000 7128754234200 7366379375340 7611925354518 7806213330750 7920838038000 8184865972600 8326627552800 8839655250408 8910942792750 9207974219175 9505005645600 9821839167120 10149233806024 10231082465750 10408284441000 11049569063010 11417888031777 11786207000544 11881257057000 12277298958900 12489941329200 12686542257530 13877712588000 14257508468400 14732758750680 15223850709036 15346623698625 15612426661500 15841676076000 16369731945200 17679310500816 17821885585500 18415948438350 19029813386295 19643678334240 20298467612048 20462164931500 20816568882000 22099138126020 22835776063554 23762514114000 24554597917800 24979882658400 25373084515060 27623922657525 28515016936800 29465517501360 30447701418072 30693247397250 31224853323000 31716355643825 32739463890400 34253664095331 35358621001632 35643771171000 36831896876700 38059626772590 40596935224096 40924329863000 41633137764000 44198276252040 45671552127108 46039871095875 47525028228000 49109195835600 50746169030120 55247845315050 57089440158885 58931035002720 60895402836144 61386494794500 62449706646000 63432711287650 68507328190662 71287542342000 73663793753400 76119253545180 81848659726000 88396552504080 91343104254216 92079742191750 95149066931475 98218391671200 101492338060240 110495690630100 114178880317770 121790805672288 122772989589000 124899413292000 126865422575300 137014656381324 138119613287625 142575084684000 147327587506800 152238507090360 158581778219125 163697319452000 171268320476655 176793105008160 182686208508432 184159484383500 190298133862950 202984676120480 220991381260200 228357760635540 245545979178000 253730845150600 274029312762648 276239226575250 285447200794425 294655175013600 304477014180720 317163556438250 342536640953310 365372417016864 368318968767000 380596267725900 441982762520400 456715521271080 475745334657375 491091958356000 507461690301200 548058625525296 552478453150500 570894401588850 608954028361440 634327112876500 685073281906620 736637937534000 761192535451800 856341602383275 883965525040800 913431042542160 951490669314750 1014923380602400 1096117251050592 1104956906301000 1141788803177700 1268654225753000 1370146563813240 1427236003972125 1473275875068000 1522385070903600 1712683204766550 1826862085084320 1902981338629500 2209913812602000 2283577606355400 2537308451506000 2740293127626480 2854472007944250 3044770141807200 3425366409533100 3805962677259000 4281708011916375 4419827625204000 4567155212710800 5074616903012000 5480586255252960 5708944015888500 6850732819066200 7611925354518000 8563416023832750 9134310425421600 11417888031777000 13701465638132400 15223850709036000 17126832047665500 22835776063554000 27402931276264800 34253664095331000 45671552127108000 68507328190662000 137014656381324000
• Sum of all divisors σ(n): 515810696273308800
• Sum of proper divisors (its aliquot sum) s(n): 378796039891984800
• 137014656381324000 is an abundant number, because the sum of its proper divisors (378796039891984800) is greater than itself. Its abundance is 241781383510660800

Bases of 137014656381324000

• Binary: 111100110110001100001101010100010101000011000101011100000₂
• Hexadecimal: 0x1E6C61AA2A18AE0
• Base-36: 11H3N46ZUGO0

Squares and roots of 137014656381324000

• 137014656381324000 squared (137014656381324000²) is 18773016063292289514495992976000000
• 137014656381324000 cubed (137014656381324000³) is 2572178345153068852599944497810726281580224000000000
• The square root of 137014656381324000 is 370154908.6278932489
• The cube root of 137014656381324000 is 515532.0562618341

Scales and comparisons

• 137,014,656,381,324,000 seconds is equal to 4,356,642,258 years, 39 weeks, 6 days, 6 hours.
• To count from 1 to 137,014,656,381,324,000 would take you about thirteen billion, sixty-nine million, nine hundred twenty-six thousand, seven hundred seventy-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 137014656381324000 cubic inches would be around 42961 feet tall.

Recreational maths with 137014656381324000

• 137014656381324000 backwards is 000423183656410731
• 137014656381324000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137014656381324000's digits is 54
• More coming soon!