42326312319828000

Names of 42326312319828000

• Cardinal: 42326312319828000 can be written as Forty-two quadrillion, three hundred twenty-six trillion, three hundred twelve billion, three hundred nineteen million, eight hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 4.2326312319828 × 10¹⁶

Factors of 42326312319828000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2903

Divisors of 42326312319828000

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 72 75 76 80 90 95 96 100 114 120 125 144 150 152 160 171 180 190 200 225 228 240 250 285 288 300 304 342 360 361 375 380 400 450 456 475 480 500 570 600 608 684 720 722 750 760 800 855 900 912 950 1000 1083 1125 1140 1200 1277 1368 1425 1440 1444 1500 1520 1597 1710 1800 1805 1824 1900 2000 2166 2250 2280 2375 2400 2554 2736 2850 2888 3000 3040 3194 3249 3420 3600 3610 3800 3831 4000 4275 4332 4500 4560 4750 4791 5108 5415 5472 5700 5776 6000 6385 6388 6498 6840 7125 7200 7220 7600 7662 7985 8550 8664 9000 9025 9120 9500 9582 10216 10830 11400 11493 11552 12000 12770 12776 12996 13680 14250 14373 14440 15200 15324 15970 16245 17100 17328 18000 18050 19000 19155 19164 20432 21375 21660 22800 22986 23955 24263 25540 25552 25992 27075 27360 28500 28746 28880 30343 30648 31925 31940 32490 34200 34656 36000 36100 38000 38310 38328 39925 40864 42750 43320 45125 45600 45972 47910 48526 51080 51104 51984 54150 57000 57465 57492 57760 60686 61296 63850 63880 64980 68400 71865 72200 72789 76000 76620 76656 79850 81225 85500 86640 90250 91029 91944 95775 95820 97052 102160 103968 108300 114000 114930 114984 119775 121315 121372 122592 127700 127760 129960 135375 136800 143730 144400 145578 151715 153240 153312 159625 159700 162450 171000 173280 180500 182058 183888 191550 191640 194104 199625 204320 216600 218367 228000 229860 229968 239550 242630 242744 255400 255520 259920 270750 273087 287325 287460 288800 291156 303430 306480 319250 319400 324900 342000 359325 361000 363945 364116 367776 383100 383280 388208 399250 406125 433200 436734 455145 459720 459936 460997 478875 479100 485260 485488 510800 519840 541500 546174 574650 574920 576517 582312 598875 606575 606860 612960 638500 638800 649800 684000 718650 722000 727890 728232 758575 766200 766560 776416 798500 812250 866400 873468 910290 919440 921994 957750 958200 970520 970976 1021600 1083000 1091835 1092348 1149300 1149840 1153034 1164624 1197750 1213150 1213720 1277000 1277600 1299600 1365435 1382991 1436625 1437300 1444000 1455780 1456464 1517150 1532400 1597000 1624500 1729551 1746936 1796625 1819725 1820580 1838880 1843988 1915500 1916400 1941040 2039369 2166000 2183670 2184696 2275725 2298600 2299680 2304985 2306068 2329248 2395500 2426300 2427440 2550409 2554000 2599200 2730870 2765982 2873250 2874600 2882585 2911560 2912928 3032875 3034300 3064800 3194000 3249000 3459102 3493872 3593250 3639450 3641160 3687976 3792875 3831000 3832800 3882080 4078738 4148973 4332000 4367340 4369392 4551450 4597200 4609970 4612136 4791000 4852600 4854880 5100818 5108000 5188653 5459175 5461740 5531964 5746500 5749200 5765170 5823120 6065750 6068600 6118107 6388000 6498000 6827175 6914955 6918204 6987744 7186500 7278900 7282320 7375952 7585750 7651227 7662000 8157476 8297946 8647755 8734680 8738784 9098625 9102900 9194400 9219940 9224272 9582000 9705200 10196845 10201636 10377306 10918350 10923480 11063928 11378625 11493000 11498400 11524925 11530340 11646240 12131500 12137200 12236214 12752045 12996000 13654350 13829910 13836408 14373000 14412925 14557800 14564640 14751904 15171500 15302454 15324000 16314952 16595892 17295510 17469360 18197250 18205800 18354321 18439880 18448544 19164000 19410400 20393690 20403272 20744865 20754612 21836700 21846960 22127856 22757250 22953681 22986000 23049850 23060680 24263000 24274400 24472428 25504090 25943265 27295875 27308700 27659820 27672816 28746000 28825850 29115600 30343000 30590535 30604908 32629904 33191784 34135875 34574775 34591020 34938720 36394500 36411600 36708642 36879760 38256135 38748011 40787380 40806544 41489730 41509224 43238775 43673400 43693920 44255712 45514500 45907362 45972000 46099700 46121360 48457771 48526000 48944856 50984225 51008180 51886530 54591750 54617400 55319640 55345632 57492000 57624625 57651700 58231200 60686000 61181070 61209816 63760225 65259808 66383568 68271750 69149550 69182040 72064625 72789000 72823200 73417284 73759520 76512270 77496022 81574760 81613088 82979460 83018448 86477550 87346800 91029000 91771605 91814724 92199400 92242720 96915542 97052000 97889712 101968450 102016360 103724325 103773060 109183500 109234800 110639280 114768405 115249250 115303400 116244033 121372000 122362140 122419632 127520450 129716325 132767136 136543500 138299100 138364080 144129250 145373313 145578000 146834568 152952675 153024540 154992044 163149520 165958920 166036896 172873875 172955100 174693600 182058000 183543210 183629448 184398800 191280675 193740055 193831084 195779424 203936900 204032720 207448650 207546120 216193875 218367000 218469600 221278560 229536810 230498500 230606800 232488066 242288855 244724280 244839264 254921125 255040900 259432650 273087000 276598200 276728160 288258500 290746626 291156000 293669136 305905350 306049080 309984088 318801125 326299040 331917840 345747750 345910200 348732099 364116000 367086420 367258896 368797600 382561350 387480110 387662168 407873800 408065440 414897300 415092240 432387750 436119939 436734000 458858025 459073620 460997000 461213600 464976132 484577710 489448560 509842250 510081800 518621625 518865300 546174000 553196400 573842025 576517000 581220165 581493252 587338272 611810700 612098160 619968176 637602250 648581625 663835680 691495500 691820400 697464198 726866565 734172840 734517792 736212209 764763375 765122700 774960220 775324336 815747600 829794600 830184480 864775500 872239878 873468000 917716050 918147240 920697649 921994000 929952264 956403375 968700275 969155420 978897120 1019684500 1020163600 1037243250 1037730600 1092348000 1106392800 1147684050 1153034000 1162440330 1162986504 1211444275 1223621400 1224196320 1239936352 1275204500 1297163250 1382991000 1383640800 1394928396 1453733130 1468345680 1472424418 1529526750 1530245400 1549920440 1550648672 1631495200 1659589200 1729551000 1743660495 1744479756 1835432100 1836294480 1841395298 1843988000 1859904528 1912806750 1937400550 1938310840 2039369000 2040327200 2074486500 2075461200 2180599695 2208636627 2294290125 2295368100 2306068000 2324880660 2325973008 2422888550 2447242800 2550409000 2594326500 2762092947 2765982000 2789856792 2869210125 2906100825 2907466260 2936691360 2944848836 3059053500 3060490800 3099840880 3256872293 3319178400 3459102000 3487320990 3488959512 3634332825 3670864200 3672588960 3681061045 3682790596 3719809056 3825613500 3874801100 3876621680 4078738000 4148973000 4150922400 4361199390 4417273254 4588580250 4590736200 4603488245 4649761320 4651946016 4843501375 4845777100 4894485600 5100818000 5188653000 5524185894 5531964000 5579713584 5738420250 5812201650 5814932520 5889697672 6057221375 6118107000 6120981600 6199681760 6513744586 6625909881 6918204000 6974641980 6977919024 7268665650 7341728400 7362122090 7365581192 7651227000 7749602200 7753243360 8157476000 8286278841 8297946000 8718302475 8722398780 8834546508 9177160500 9181472400 9206976490 9299522640 9687002750 9691554200 9770616879 10201636000 10377306000 10902998475 11043183135 11048371788 11159427168 11476840500 11624403300 11629865040 11779395344 12114442750 12236214000 13027489172 13251819762 13810464735 13949283960 13955838048 14530504125 14537331300 14683456800 14724244180 14731162384 15302454000 15499204400 16284361465 16572557682 16595892000 17436604950 17444797560 17669093016 18171664125 18354321000 18362944800 18405305225 18413952980 18599045280 19374005500 19383108400 19541233758 20754612000 21805996950 22086366270 22096743576 22953681000 23017441225 23248806600 23259730080 23558790688 24228885500 24472428000 26054978344 26503639524 27620929470 27898567920 29061008250 29074662600 29311850637 29448488360 29462324768 30604908000 30998408800 32568722930 33129549405 33145115364 34873209900 34889595120 35338186032 36343328250 36708642000 36810610450 36827905960 38748011000 38766216800 39082467516 41431394205 43591512375 43611993900 44172732540 44193487152 45907362000 46034882450 46497613200 48457771000 48853084395 52109956688 53007279048 54514992375 55215915675 55241858940 55797135840 58122016500 58149325200 58623701274 58896976720 61880573567 65137445860 66259098810 66290230728 69052323675 69746419800 69779190240 70676372064 72686656500 73417284000 73621220900 73655811920 77496022000 78164935032 81421807325 82862788410 87183024750 87223987800 88345465080 88386974304 91814724000 92026526125 92069764900 92995226400 96915542000 97706168790 104219913376 106014558096 109029984750 110431831350 110483717880 115087206125 116244033000 116298650400 117247402548 117793953440 123761147134 130274891720 132518197620 132580461456 138104647350 139492839600 145373313000 146559253185 147242441800 147311623840 154992044000 156329870064 162843614650 165647747025 165725576820 174366049500 174447975600 176690930160 184053052250 184139529800 185641720701 193831084000 195412337580 207156971025 212029116192 218059969500 220863662700 220967435760 230174412250 232488066000 234494805096 244265421975 247522294268 260549783440 265036395240 265160922912 276079578375 276209294700 278985679200 290746626000 293118506370 294484883600 309402867835 312659740128 325687229300 331295494050 331451153640 345261618375 348732099000 348895951200 353381860320 368106104500 368279059600 371283441402 390824675160 407109036625 414313942050 436119939000 441727325400 441934871520 460348824500 464976132000 468989610192 488530843950 495044588536 521099566880 530072790480 552159156750 552418589400 556925162103 581493252000 586237012740 588969767200 618805735670 651374458600 662590988100 662902307280 690523236750 697464198000 732796265925 736212209000 736558119200 742566882804 781649350320 814218073250 828238735125 828627884100 872239878000 883454650800 920697649000 928208603505 937979220384 977061687900 990089177072 1035784855125 1060145580960 1104318313500 1104837178800 1113850324206 1172474025480 1175730897773 1221327109875 1237611471340 1302748917200 1325181976200 1325804614560 1381046473500 1394928396000 1465592531850 1472424418000 1485133765608 1547014339175 1563298700640 1628436146500 1656477470250 1657255768200 1744479756000 1766909301600 1841395298000 1856417207010 1954123375800 1980178354144 2071569710250 2208636627000 2209674357600 2227700648412 2344948050960 2351461795546 2442654219750 2475222942680 2605497834400 2650363952400 2762092947000 2784625810515 2931185063700 2944848836000 2970267531216 3094028678350 3256872293000 3312954940500 3314511536400 3527192693319 3663981329625 3682790596000 3712834414020 3908246751600 4143139420500 4417273254000 4455401296824 4641043017525 4689896101920 4702923591092 4885308439500 4950445885360 5300727904800 5524185894000 5569251621030 5862370127400 5878654488865 5940535062432 6188057356700 6513744586000 6625909881000 6629023072800 7054385386638 7327962659250 7425668828040 7735071695875 7816493503200 8286278841000 8834546508000 8910802593648 9282086035050 9405847182184 9770616879000 9900891770720 10581578079957 11048371788000 11138503242060 11724740254800 11757308977730 12376114713400 13027489172000 13251819762000 13923129052575 14108770773276 14655925318500 14851337656080 15470143391750 16572557682000 17635963466595 17821605187296 18564172070100 18811694364368 19541233758000 21163156159914 22277006484120 23205215087625 23449480509600 23514617955460 24752229426800 26503639524000 27846258105150 28217541546552 29311850637000 29393272444325 29702675312160 30940286783500 33145115364000 35271926933190 37128344140200 37623388728736 39082467516000 42326312319828 44554012968240 46410430175250 47029235910920 49504458853600 52907890399785 55692516210300 56435083093104 58623701274000 58786544888650 61880573567000 69615645262875 70543853866380 74256688280400 84652624639656 88179817332975 89108025936480 92820860350500 94058471821840 105815780799570 111385032420600 112870166186208 117247402548000 117573089777300 123761147134000 139231290525750 141087707732760 146966362221625 148513376560800 169305249279312 176359634665950 185641720701000 188116943643680 211631561599140 222770064841200 235146179554600 247522294268000 264539451998925 278462581051500 282175415465520 293932724443250 338610498558624 352719269331900 371283441402000 423263123198280 440899086664875 445540129682400 470292359109200 529078903997850 556925162103000 564350830931040 587865448886500 705438538663800 742566882804000 846526246396560 881798173329750 940584718218400 1058157807995700 1113850324206000 1175730897773000 1322697259994625 1410877077327600 1693052492793120 1763596346659500 2116315615991400 2227700648412000 2351461795546000 2645394519989250 2821754154655200 3527192693319000 4232631231982800 4702923591092000 5290789039978500 7054385386638000 8465262463965600 10581578079957000 14108770773276000 21163156159914000 42326312319828000
• Sum of all divisors σ(n): 158761864604443464
• Sum of proper divisors (its aliquot sum) s(n): 116435552284615464
• 42326312319828000 is an abundant number, because the sum of its proper divisors (116435552284615464) is greater than itself. Its abundance is 74109239964787464

Bases of 42326312319828000

• Binary: 10010110010111111000111010001010011110011100000000100000₂
• Hexadecimal: 0x965F8E8A79C020
• Base-36: BKRFBG285K0

Squares and roots of 42326312319828000

• 42326312319828000 squared (42326312319828000²) is 1791516714595623530961949584000000
• 42326312319828000 cubed (42326312319828000³) is 75828295988166523201726220881152619551552000000000
• The square root of 42326312319828000 is 205733595.5060038317
• The cube root of 42326312319828000 is 348500.5576800839

Scales and comparisons

• 42,326,312,319,828,000 seconds is equal to 1,345,845,807 years, 46 weeks, 2 days, 2 hours.
• To count from 1 to 42,326,312,319,828,000 would take you about four billion, thirty-seven million, five hundred thirty-seven thousand, four hundred twenty-three 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 42326312319828000 cubic inches would be around 29041.7 feet tall.

Recreational maths with 42326312319828000

• 42326312319828000 backwards is 00082891321362324
• The number of decimal digits it has is: 17
• The sum of 42326312319828000's digits is 54
• More coming soon!