137989069529056000

Names of 137989069529056000

• Cardinal: 137989069529056000 can be written as One hundred thirty-seven quadrillion, nine hundred eighty-nine trillion, sixty-nine billion, five hundred twenty-nine million, fifty-six thousand.

Scientific notation

• Scientific notation: 1.37989069529056 × 10¹⁷

Factors of 137989069529056000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 8243

Divisors of 137989069529056000

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 71 80 100 116 125 127 128 142 145 160 200 232 250 254 256 284 290 320 355 400 464 500 508 568 580 635 640 710 725 800 841 928 1000 1016 1136 1160 1270 1280 1420 1450 1600 1682 1775 1856 2000 2032 2059 2272 2320 2540 2840 2900 3175 3200 3364 3550 3625 3683 3712 4000 4064 4118 4205 4544 4640 5041 5080 5680 5800 6350 6400 6728 7100 7250 7366 7424 8000 8009 8128 8236 8410 8875 9017 9088 9280 10082 10160 10295 11360 11600 12700 13456 14200 14500 14732 15875 16000 16018 16256 16472 16820 17750 18034 18176 18415 18560 20164 20320 20590 21025 22720 23200 25205 25400 26912 28400 29000 29464 31750 32000 32036 32512 32944 33640 35500 36068 36830 37120 40045 40328 40640 41180 42050 45085 45440 46400 50410 50800 51475 53824 56800 58000 58928 59711 63500 64072 65888 67280 71000 72136 73660 80090 80656 81280 82360 84100 90170 90880 92075 92800 100820 101600 102950 105125 106807 107648 113600 116000 117856 119422 126025 127000 128144 131776 134560 142000 144272 146189 147320 160180 161312 162560 164720 168200 180340 184150 185600 200225 201640 203200 205900 210250 213614 215296 225425 227200 232000 232261 235712 238844 252050 254000 256288 257375 261493 263552 269120 284000 288544 292378 294640 298555 320360 322624 329440 336400 360680 368300 400450 403280 406400 411800 420500 427228 450850 454400 460375 464000 464522 471424 477688 504100 508000 512576 514750 522986 527104 534035 538240 568000 568639 577088 584756 589280 597110 630125 640207 640720 645248 658880 672800 721360 730945 736600 800900 806560 812800 823600 841000 854456 901700 920750 928000 929044 942848 955376 1001125 1008200 1016000 1017143 1025152 1029500 1045972 1068070 1076480 1127125 1136000 1137278 1154176 1161305 1169512 1178560 1194220 1260250 1280414 1281440 1290496 1307465 1317760 1345600 1442720 1461890 1473200 1492775 1601800 1613120 1647200 1682000 1708912 1803400 1841500 1858088 1910752 2002250 2016400 2032000 2034286 2050304 2059000 2091944 2136140 2254250 2272000 2274556 2308352 2322610 2339024 2357120 2388440 2520500 2560828 2562880 2614930 2635520 2670175 2691200 2843195 2885440 2923780 2946400 2985550 3201035 3203600 3226240 3294400 3364000 3417824 3606800 3654725 3683000 3716176 3821504 4004500 4032800 4064000 4068572 4118000 4183888 4239481 4272280 4508500 4549112 4645220 4678048 4714240 4776880 5041000 5085715 5121656 5125760 5229860 5340350 5382400 5686390 5770880 5806525 5847560 5892800 5971100 6402070 6407200 6452480 6537325 6588800 6728000 6735569 6835648 7213600 7309450 7366000 7432352 7463875 7583297 7643008 8009000 8065600 8137144 8236000 8367776 8478962 8544560 9017000 9098224 9290440 9356096 9553760 10082000 10171430 10243312 10251520 10459720 10680700 11372780 11541760 11613050 11695120 11785600 11942200 12804140 12814400 13074650 13177600 13350875 13456000 13471138 13671296 14215975 14427200 14618900 14732000 14864704 14927750 15166594 15286016 16005175 16018000 16131200 16274288 16472000 16490531 16735552 16957924 17089120 18034000 18196448 18273625 18566003 18580880 18712192 19107520 20164000 20342860 20486624 20919440 21197405 21361400 22745560 23226100 23390240 23571200 23884400 25428575 25608280 25628800 26149300 26701750 26912000 26942276 27342592 28431950 28854400 29032625 29237800 29464000 29497147 29729408 29855500 30333188 32010350 32036000 32262400 32548576 32686625 32944000 32981062 33471104 33677845 33915848 34178240 36068000 36392896 36547250 37132006 37161760 37424384 37916485 38215040 40328000 40373369 40685720 40973248 41838880 42394810 42722800 45491120 46452200 46780480 47768800 50857150 51216560 51257600 52298600 53403500 53884552 56863900 57708800 58065250 58475600 58928000 58994294 59458816 59711000 60666376 64020700 64072000 65097152 65373250 65888000 65962124 66942208 67355690 67831696 68356480 71079875 72136000 72217153 72785792 73094500 74264012 74323520 75832970 76430080 80025875 80656000 80746738 81371440 81946496 82452655 83677760 84789620 85445600 90982240 92830015 92904400 93560960 95537600 101714300 102433120 104597200 105987025 106807000 107769104 113727800 116130500 116951200 117856000 117988588 119422000 121332752 127142875 128041400 128144000 130194304 130746500 131924248 134711380 135663392 136712960 142159750 144272000 144434306 145571584 146189000 147485735 148528024 148647040 151665940 160051750 161312000 161493476 162742880 163892992 164905310 167355520 168389225 169579240 170891200 181964480 185660030 185808800 187121920 189582425 191075200 201866845 203428600 204866240 209194400 211974050 213614000 215538208 227455600 232261000 233902400 235977176 238844000 242665504 254285750 256082800 256288000 260388608 261493000 263848496 269422760 271326784 284319500 288544000 288868612 292378000 294971470 297056048 297294080 303331880 320103500 322986952 325485760 329810620 334711040 336778450 339158480 341782400 361085765 363928960 371320060 371617600 379164850 382150400 403733690 406857200 409732480 412263275 418388800 423948100 427228000 431076416 454911200 464150075 464522000 467804800 471954352 477688000 478225399 485331008 508571500 512165600 522986000 527696992 529935125 538414087 538845520 542653568 568639000 577737224 584756000 589942940 594112096 606663760 640207000 645973904 650971520 659621240 673556900 678316960 683564800 722171530 727857920 737428675 742640120 743235200 758329700 807467380 813714400 819464960 824526550 836777600 841946125 847896200 854456000 855417263 862152832 909822400 928300150 929044000 935609600 943908704 947912125 955376000 956450798 970662016 1009334225 1017143000 1024331200 1045972000 1055393984 1059870250 1076828174 1077691040 1085307136 1137278000 1155474448 1169512000 1170827701 1179885880 1188224192 1213327520 1280414000 1291947808 1301943040 1319242480 1347113800 1356633920 1444343060 1474857350 1485280240 1486470400 1516659400 1614934760 1627428800 1649053100 1673555200 1683892250 1695792400 1708912000 1710834526 1724305664 1805428825 1819644800 1856600300 1858088000 1887817408 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7551269632 7583297000 7651606384 8074673800 8137144000 8245265500 8367776000 8377189748 8478962000 8554172630 8614625392 8621528320 9027144125 9098224000 9243795584 9283001500 9366621608 9439087040 9564507980 9706620160 10093342250 10243312000 10254835726 10335582464 10471487185 10553939840 10768281740 10776910400 11554744480 11708277010 11798858800 11882241920 11955634975 12133275200 12919478080 13192424800 13460352175 13471138000 13566339200 13686676208 14443430600 14748573500 14852802400 15166594000 15303212768 16149347600 16274288000 16490531000 16754379496 16957924000 17108345260 17229250784 18054288250 18196448000 18487591168 18566003000 18733243216 18878174080 19129015960 20186684500 20486624000 20509671452 20942974370 21107879680 21385431575 21536563480 21553820800 23109488960 23416554020 23597717600 23764483840 23911269950 24266550400 25637089315 25838956160 26384849600 26920704350 26942276000 27132678400 27373352416 28886861200 29270692525 29497147000 29705604800 30333188000 30606425536 32298695200 32548576000 32981062000 33508758992 33915848000 33954003329 34216690520 34458501568 36108576500 37132006000 37466486432 37756348160 38258031920 40373369000 41019342904 41885948740 42770863150 43073126960 43107641600 46218977920 46833108040 47195435200 47822539900 48533100800 51274178630 51677912320 52357435925 52769699200 53841408700 53884552000 54746704832 57773722400 58541385050 58994294000 59411209600 59778174875 60666376000 60734625673 61212851072 64597390400 65962124000 67017517984 67301760875 67831696000 67908006658 68433381040 68917003136 72217153000 74264012000 74932972864 76516063840 80746738000 82038685808 83771897480 85541726300 86146253920 92437955840 93666216080 94390870400 95645079800 102548357260 104714871850 105539398400 106927157875 107682817400 107769104000 109493409664 115547444800 117082770100 117988588000 118822419200 119556349750 121332752000 121469251346 122425702144 128185446575 129194780800 131924248000 134035035968 134603521750 135663392000 135816013316 136866762080 137834006272 144434306000 146353462625 148528024000 148695118027 149865945728 153032127680 161493476000 164077371616 167543794960 169770016645 171083452600 172292507840 187332432160 188781740800 191290159600 205096714520 209429743700 213854315750 215365634800 215538208000 218986819328 231094889600 234165540200 235977176000 239112699500 242665504000 242938502692 256370893150 258389561600 261787179625 263848496000 268070071936 269207043500 271632026632 273733524160 288868612000 292706925250 297056048000 297390236054 299731891456 303673128365 306064255360 322986952000 328154743232 335087589920 339540033290 342166905200 344585015680 374664864320 382580319200 410193429040 418859487400 427708631500 430731269600 462189779200 468331080400 471954352000 478225399000 485877005384 512741786300 523574359250 527696992000 536140143872 538414087000 543264053264 547467048320 577737224000 585413850500 594112096000 594780472108 607346256730 612128510720 640927232875 645973904000 656309486464 670175179840 679080066580 684333810400 689170031360 743475590135 749329728640 765160638400 820386858080 837718974800 848850083225 855417263000 861462539200 936662160800 943908704000 956450798000 971754010768 1025483572600 1047148718500 1076828174000 1086528106528 1094934096640 1155474448000 1170827701000 1189560944216 1214692513460 1281854465750 1291947808000 1312618972928 1340350359680 1358160133160 1368667620800 1486951180270 1498659457280 1518365641825 1530321276800 1640773716160 1675437949600 1697700166450 1710834526000 1722925078400 1873324321600 1912901596000 1943508021536 2050967145200 2094297437000 2153656348000 2173056213056 2310948896000 2341655402000 2379121888432 2429385026920 2563708931500 2680700719360 2716320266320 2737335241600 2973902360540 3036731283650 3060642553600 3281547432320 3350875899200 3395400332900 3421669052000 3445850156800 3717377950675 3746648643200 3825803192000 3887016043072 4101934290400 4188594874000 4244250416125 4307312696000 4312158422783 4346112426112 4683310804000 4758243776864 4858770053840 5127417863000 5432640532640 5474670483200 5947804721080 6073462567300 6563094864640 6701751798400 6790800665800 6843338104000 7434755901350 7493297286400 7591828209125 7651606384000 7774032086144 8203868580800 8377189748000 8488500832250 8614625392000 8624316845566 8692224852224 9366621608000 9516487553728 9717540107680 10254835726000 10865281065280 11895609442160 12146925134600 13403503596800 13581601331600 13686676208000 14869511802700 15183656418250 15303212768000 15548064172288 16407737161600 16754379496000 16977001664500 17229250784000 17248633691132 18586889753375 18733243216000 19032975107456 19435080215360 20509671452000 21560792113915 21730562130560 23791218884320 24293850269200 27163202663200 27373352416000 29739023605400 30367312836500 32815474323200 33508758992000 33954003329000 34497267382264 37173779506750 37466486432000 38065950214912 38870160430720 41019342904000 43121584227830 43461124261120 47582437768640 48587700538400 54326405326400 59478047210800 60734625673000 67017517984000 67908006658000 68994534764528 74347559013500 77740320861440 82038685808000 86243168455660 95164875537280 97175401076800 107803960569575 108652810652800 118956094421600 121469251346000 135816013316000 137989069529056 148695118027000 164077371616000 172486336911320 190329751074560 194350802153600 215607921139150 217305621305600 237912188843200 242938502692000 271632026632000 275978139058112 297390236054000 344972673822640 388701604307200 431215842278300 475824377686400 485877005384000 539019802847875 543264053264000 551956278116224 594780472108000 689945347645280 862431684556600 951648755372800 971754010768000 1078039605695750 1086528106528000 1103912556232448 1189560944216000 1379890695290560 1724863369113200 1943508021536000 2156079211391500 2379121888432000 2759781390581120 3449726738226400 4312158422783000 4758243776864000 5519562781162240 6899453476452800 8624316845566000 13798906952905600 17248633691132000 27597813905811200 34497267382264000 68994534764528000 137989069529056000
• Sum of all divisors σ(n): 363983697103703040
• Sum of proper divisors (its aliquot sum) s(n): 225994627574647040
• 137989069529056000 is an abundant number, because the sum of its proper divisors (225994627574647040) is greater than itself. Its abundance is 88005558045591040

Bases of 137989069529056000

• Binary: 111101010001111000101001111100000001010101000001100000000₂
• Hexadecimal: 0x1EA3C53E02A8300
• Base-36: 11QP1JEXEJGG

Squares and roots of 137989069529056000

• 137989069529056000 squared (137989069529056000²) is 19040983309494651057628251136000000
• 137989069529056000 cubed (137989069529056000³) is 2627447569795452225709989832299404417007616000000000
• The square root of 137989069529056000 is 371468800.2094603907
• The cube root of 137989069529056000 is 516751.2811949647

Scales and comparisons

• 137,989,069,529,056,000 seconds is equal to 4,387,625,582 years, 41 weeks, 6 days, 20 hours, 26 minutes, 40 seconds.
• To count from 1 to 137,989,069,529,056,000 would take you about thirteen billion, one hundred sixty-two million, eight hundred seventy-six thousand, seven hundred forty-eight 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 137989069529056000 cubic inches would be around 43062.6 feet tall.

Recreational maths with 137989069529056000

• 137989069529056000 backwards is 000650925960989731
• The number of decimal digits it has is: 18
• The sum of 137989069529056000's digits is 79
• More coming soon!