42906758839992320

Names of 42906758839992320

• Cardinal: 42906758839992320 can be written as Forty-two quadrillion, nine hundred six trillion, seven hundred fifty-eight billion, eight hundred thirty-nine million, nine hundred ninety-two thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.290675883999232 × 10¹⁶

Factors of 42906758839992320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 5446

Divisors of 42906758839992320

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 64 65 70 80 91 98 104 112 128 130 140 160 182 196 208 224 245 256 260 280 320 343 364 392 416 448 455 490 512 520 560 637 640 686 728 784 832 896 910 980 1024 1040 1120 1274 1280 1372 1456 1568 1664 1715 1792 1820 1960 2048 2080 2240 2548 2560 2744 2912 3136 3185 3328 3430 3584 3640 3920 4096 4160 4459 4480 5096 5120 5419 5488 5824 6272 6370 6656 6860 7168 7280 7840 8192 8320 8918 8960 10192 10240 10838 10976 11648 12544 12740 13312 13720 14336 14560 15680 16384 16640 17836 17920 20384 20480 21676 21952 22295 23296 25088 25480 26624 27095 27440 28672 29120 31360 32768 33280 35672 35840 37933 40768 40960 43352 43904 44590 46592 50176 50960 53248 54190 54880 57344 58240 62720 65536 66560 70447 71344 71680 75866 81536 81920 86704 87808 89180 93184 100352 101920 106496 108380 109760 114688 116480 125440 133120 140894 142688 143360 151732 163072 163840 173408 175616 178360 186368 189665 200704 203840 212992 216760 219520 229376 232960 250880 265531 266240 281788 285376 286720 303464 326144 327680 346816 351232 352235 356720 372736 379330 401408 407680 425984 433520 439040 458752 465920 493129 501760 531062 532480 563576 570752 573440 606928 652288 693632 702464 704470 713440 745472 758660 802816 815360 851968 867040 878080 931840 986258 1003520 1062124 1064960 1127152 1141504 1146880 1213856 1304576 1327655 1387264 1404928 1408940 1426880 1490944 1517320 1605632 1630720 1734080 1756160 1858717 1863680 1972516 2007040 2124248 2129920 2254304 2283008 2293760 2427712 2465645 2609152 2655310 2774528 2809856 2817880 2853760 2981888 3034640 3211264 3261440 3451903 3468160 3512320 3717434 3727360 3945032 4014080 4248496 4259840 4508608 4566016 4855424 4931290 5218304 5310620 5549056 5619712 5635760 5707520 5963776 6069280 6522880 6903806 6936320 7024640 7434868 7454720 7890064 8028160 8496992 9017216 9132032 9293585 9710848 9862580 10436608 10621240 11098112 11239424 11271520 11415040 12138560 13045760 13807612 13872640 14049280 14869736 14909440 15780128 16056320 16993984 17259515 18034432 18264064 18587170 19421696 19725160 20873216 21242480 22196224 22478848 22543040 22830080 24163321 24277120 26091520 27615224 27745280 28098560 29365561 29739472 29818880 31560256 33987968 34519030 36068864 36528128 37174340 38843392 39450320 41746432 42484960 44392448 45086080 45660160 48326642 48554240 52183040 55230448 55490560 56197120 58731122 59478944 63120512 67975936 69038060 72137728 73056256 74348680 77686784 78900640 84969920 88784896 90172160 91320320 96653284 97108480 104366080 110460896 110981120 112394240 117462244 118957888 120816605 126241024 135951872 138076120 144275456 146112512 146827805 148697360 155373568 157801280 169939840 177569792 180344320 182640640 193306568 194216960 205558927 208732160 220921792 221962240 234924488 237915776 241633210 252482048 271903744 276152240 288550912 292225024 293655610 297394720 310747136 315602560 339879680 355139584 360688640 365281280 381752293 386613136 388433920 411117854 441843584 443924480 469848976 475831552 483266420 504964096 543807488 552304480 577101824 587311220 594789440 621494272 631205120 679759360 721377280 730562560 763504586 773226272 776867840 822235708 883687168 887848960 939697952 951663104 966532840 1009928192 1027794635 1087614976 1104608960 1154203648 1174622440 1189578880 1242988544 1262410240 1359518720 1438912489 1442754560 1461125120 1527009172 1546452544 1553735680 1644471416 1767374336 1775697920 1879395904 1903326208 1908761465 1933065680 2019856384 2055589270 2175229952 2209217920 2308407296 2349244880 2379157760 2485977088 2524820480 2672266051 2719037440 2877824978 2885509120 3054018344 3092905088 3107471360 3288942832 3534748672 3758791808 3806652416 3817522930 3866131360 4039712768 4111178540 4350459904 4418435840 4616814592 4698489760 4758315520 5049640960 5344532102 5438074880 5755649956 5771018240 6108036688 6185810176 6214942720 6577885664 7069497344 7194562445 7517583616 7613304832 7635045860 7732262720 8079425536 8222357080 8700919808 8836871680 9396979520 9516631040 10072387423 10099281920 10689064204 10876149760 11511299912 11542036480 12216073376 12371620352 12429885440 13155771328 13361330255 14138994688 14389124890 15035167232 15226609664 15270091720 15464525440 16158851072 16444714160 17401839616 17673743360 18705862357 18793959040 19033262080 20144774846 20198563840 21378128408 21752299520 23022599824 23084072960 24432146752 24743240704 26311542656 26722660510 28277989376 28778249780 30070334464 30453219328 30540183440 30929050880 32317702144 32889428320 35347486720 37411724714 37587918080 38066524160 40289549692 40397127680 42756256816 43504599040 46045199648 48864293504 49486481408 50361937115 52623085312 53445321020 56555978752 57556499560 60140668928 60906438656 61080366880 61858101760 65778856640 70694973440 74823449428 75175836160 76133048320 80579099384 80794255360 85512513632 87009198080 92090399296 93529311785 97728587008 98972962816 100723874230 105246170624 106890642040 113111957504 115112999120 120281337856 121812877312 122160733760 123716203520 130941036499 131557713280 141389946880 149646898856 150351672320 152266096640 161158198768 161588510720 171025027264 184180798592 187058623570 195457174016 197945925632 201447748460 210492341248 213781284080 226223915008 230225998240 240562675712 244321467520 247432407040 261882072998 263115426560 282779893760 299293797712 300703344640 304532193280 322316397536 342050054528 368361597184 374117247140 390914348032 395891851264 402895496920 420984682496 427562568160 460451996480 481125351424 488642935040 494864814080 523764145996 526230853120 565559787520 598587595424 601406689280 609064386560 644632795072 654705182495 684100109056 736723194368 748234494280 781828696064 791783702528 805790993840 841969364992 855125136320 920903992960 962250702848 977285870080 989729628160 1047528291992 1052461706240 1131119575040 1197175190848 1202813378560 1289265590144 1309410364990 1368200218112 1473446388736 1496468988560 1563657392128 1583567405056 1611581987680 1683938729984 1710250272640 1841807985920 1924501405696 1954571740160 1979459256320 2095056583984 2104923412480 2394350381696 2405626757120 2578531180288 2618820729980 2736400436224 2946892777472 2992937977120 3127314784256 3223163975360 3367877459968 3420500545280 3683615971840 3909143480320 3958918512640 4190113167968 4209846824960 4788700763392 4811253514240 5157062360576 5237641459960 5472800872448 5893785554944 5985875954240 6254629568512 6446327950720 6735754919936 6841001090560 7367231943680 7818286960640 7917837025280 8380226335936 8419693649920 9577401526784 9622507028480 10314124721152 10475282919920 10945601744896 11787571109888 11971751908480 12509259137024 12892655901440 13471509839872 13682002181120 14734463887360 15636573921280 16760452671872 16839387299840 19154803053568 20628249442304 20950565839840 21891203489792 23575142219776 23943503816960 25018518274048 25785311802880 27364004362240 29468927774720 31273147842560 33520905343744 33678774599680 38309606107136 41256498884608 41901131679680 43782406979584 47150284439552 47887007633920 51570623605760 54728008724480 58937855549440 62546295685120 67041810687488 67357549199360 76619212214272 82512997769216 83802263359360 87564813959168 94300568879104 95774015267840 103141247211520 109456017448960 117875711098880 125092591370240 134083621374976 153238424428544 165025995538432 167604526718720 175129627918336 191548030535680 206282494423040 218912034897920 235751422197760 268167242749952 306476848857088 330051991076864 335209053437440 383096061071360 412564988846080 437824069795840 471502844395520 536334485499904 612953697714176 660103982153728 670418106874880 766192122142720 825129977692160 875648139591680 1072668970999808 1225907395428352 1340836213749760 1532384244285440 1650259955384320 2145337941999616 2681672427499520 3064768488570880 3300519910768640 4290675883999232 5363344854999040 6129536977141760 8581351767998464 10726689709998080 21453379419996160 42906758839992320
• Sum of all divisors σ(n): 129349377381873600
• Sum of proper divisors (its aliquot sum) s(n): 86442618541881280
• 42906758839992320 is an abundant number, because the sum of its proper divisors (86442618541881280) is greater than itself. Its abundance is 43535859701888960

Bases of 42906758839992320

• Binary: 10011000011011110111100001000111000111110000000000000000₂
• Hexadecimal: 0x986F78471F0000
• Base-36: BQH6CW9NAWW

Squares and roots of 42906758839992320

• 42906758839992320 squared (42906758839992320²) is 1840989954153259097784217658982400
• 42906758839992320 cubed (42906758839992320³) is 78990911989702405705815508422156213812795015168000
• The square root of 42906758839992320 is 207139467.1229805013
• The cube root of 42906758839992320 is 350086.3972833535

Scales and comparisons

• 42,906,758,839,992,320 seconds is equal to 1,364,302,211 years, 41 weeks, 1 day, 12 hours, 5 minutes, 20 seconds.
• To count from 1 to 42,906,758,839,992,320 would take you about four billion, ninety-two million, nine hundred six thousand, six hundred thirty-five 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 42906758839992320 cubic inches would be around 29173.9 feet tall.

Recreational maths with 42906758839992320

• 42906758839992320 backwards is 02329993885760924
• The number of decimal digits it has is: 17
• The sum of 42906758839992320's digits is 86
• More coming soon!