42623230856764804848328320

Names of 42623230856764804848328320

• Cardinal: 42623230856764804848328320 can be written as Forty-two septillion, six hundred twenty-three sextillion, two hundred thirty quintillion, eight hundred fifty-six quadrillion, seven hundred sixty-four trillion, eight hundred four billion, eight hundred forty-eight million, three hundred twenty-eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.262323085676480484832832 × 10²⁵

Factors of 42623230856764804848328320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 298474606834

Divisors of 42623230856764804848328320

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 80 88 90 96 99 110 120 128 132 144 160 165 176 180 192 198 220 240 264 288 320 330 352 360 384 396 440 480 495 528 576 640 660 704 720 792 880 960 990 1056 1152 1320 1408 1440 1584 1760 1920 1980 2112 2640 2880 3168 3520 3960 4224 5280 5479 5760 6336 7040 7920 10560 10958 12672 15840 16437 21120 21916 27395 31680 32874 43832 49311 54790 60269 63360 65748 82185 87664 98622 109580 120538 131496 164370 175328 180807 197244 219160 241076 246555 262992 301345 328740 350656 361614 394488 411361 438320 482152 493110 525984 542421 602690 657480 701312 723228 788976 822722 876640 904035 964304 986220 1051968 1084842 1205380 1234083 1314960 1446456 1577952 1645444 1753280 1808070 1928608 1972440 2056805 2103936 2169684 2410760 2468166 2629920 2712105 2892912 3155904 3290888 3506560 3616140 3702249 3857216 3944880 4113610 4339368 4524971 4821520 4936332 5259840 5424210 5785824 6170415 6311808 6581776 7232280 7404498 7714432 7889760 8227220 8678736 9049942 9643040 9872664 10519680 10848420 11571648 12340830 13163552 13574913 14464560 14808996 15779520 16454440 17357472 18099884 18511245 19286080 19745328 21696840 22624855 23143296 24681660 26327104 27149826 28929120 29617992 31559040 32908880 34714944 36199768 37022490 38572160 39490656 40724739 43393680 45249710 49363320 52654208 54299652 57858240 59235984 65817760 67874565 69429888 72399536 74044980 78981312 81449478 86787360 90499420 98726640 108599304 115716480 118471968 131635520 135749130 144799072 148089960 157962624 162898956 173574720 180998840 197453280 203623695 217198608 236943936 263271040 271498260 289598144 296179920 325797912 347149440 361997680 394906560 407247390 434397216 473887872 542996520 579196288 592359840 651595824 723995360 789813120 814494780 868794432 1085993040 1184719680 1303191648 1447990720 1628989560 1737588864 2171986080 2253846919 2369439360 2606383296 2895981440 3257979120 4343972160 4507693838 5212766592 6515958240 6761540757 8687944320 9015387676 11269234595 13031916480 13523081514 18030775352 20284622271 22538469190 24792316109 26063832960 27046163028 33807703785 36061550704 40569244542 45076938380 49584632218 54092326056 67615407570 72123101408 74376948327 81138489084 90153876760 99169264436 101423111355 108184652112 123961580545 135230815140 144246202816 148753896654 162276978168 180307753520 198338528872 202846222710 216369304224 223130844981 247923161090 270461630280 288492405632 297507793308 298474189973 324553956336 360615507040 371884741635 396677057744 405692445420 432738608448 446261689962 495846322180 540923260560 595015586616 596948379946 649107912672 721231014080 743769483270 793354115488 811384890840 865477216896 892523379924 895422569919 991692644360 1081846521120 1115654224905 1190031173232 1193896759892 1298215825344 1442462028160 1487538966540 1492370949865 1586708230976 1622769781680 1785046759848 1790845139838 1983385288720 2163693042240 2231308449810 2380062346464 2387793519784 2596431650688 2686267709757 2975077933080 2984741899730 3173416461952 3245539563360 3283216089703 3570093519696 3581690279676 3966770577440 4327386084480 4462616899620 4477112849595 4760124692928 4775587039568 5372535419514 5950155866160 5969483799460 6491079126720 6566432179406 7140187039392 7163380559352 7933541154880 8925233799240 8954225699190 9520249385856 9551174079136 9849648269109 10745070839028 11900311732320 11938967598920 12982158253440 13132864358812 13431338548785 14280374078784 14326761118704 15867082309760 16416080448515 17850467598480 17908451398380 19102348158272 19699296538218 21490141678056 23800623464640 23877935197840 26265728717624 26862677097570 28560748157568 28653522237408 29548944807327 32832160897030 35700935196960 35816902796760 38204696316544 39398593076436 42980283356112 47601246929280 47755870395680 49248241345545 52531457435248 53725354195140 57307044474816 59097889614654 65664321794060 71401870393920 71633805593520 78797186152872 85960566712224 95511740791360 98496482691090 105062914870496 107450708390280 114614088949632 118195779229308 131328643588120 142803740787840 143267611187040 147744724036635 157594372305744 171921133424448 191023481582720 196992965382180 210125829740992 214901416780560 236391558458616 262657287176240 286535222374080 295489448073270 315188744611488 343842266848896 393985930764360 420251659481984 429802833561120 472783116917232 525314574352480 573070444748160 590978896146540 630377489222976 787971861528720 859605667122240 945566233834464 1050629148704960 1181957792293080 1260754978445952 1575943723057440 1635340086862067 1719211334244480 1891132467668928 2101258297409920 2363915584586160 3151887446114880 3270680173724134 3782264935337856 4727831169172320 4906020260586201 6303774892229760 6541360347448268 8176700434310335 9455662338344640 9812040521172402 13082720694896536 14718060781758603 16353400868620670 17988740955482737 18911324676689280 19624081042344804 24530101302931005 26165441389793072 29436121563517206 32706801737241340 35977481910965474 39248162084689608 49060202605862010 52330882779586144 53966222866448211 58872243127034412 65413603474482680 71954963821930948 73590303908793015 78496324169379216 89943704777413685 98120405211724020 104661765559172288 107932445732896422 117744486254068824 122780641261483253 130827206948965360 143909927643861896 147180607817586030 156992648338758432 161898668599344633 179887409554827370 196240810423448040 209323531118344576 215864891465792844 235488972508137648 245561282522966506 261654413897930720 269831114332241055 287819855287723792 294361215635172060 313985296677516864 323797337198689266 359774819109654740 368341923784449759 392481620846896080 431729782931585688 470977945016275296 491122565045933012 523308827795861440 539662228664482110 575639710575447584 588722431270344120 613903206307416265 627970593355033728 647594674397378532 719549638219309480 736683847568899518 784963241693792160 809493342996723165 863459565863171376 941955890032550592 982245130091866024 1046617655591722880 1079324457328964220 1105025771353349277 1151279421150895168 1177444862540688240 1227806412614832530 1295189348794757064 1350587053876315783 1439099276438618960 1473367695137799036 1569926483387584320 1618986685993446330 1726919131726342752 1841709618922248795 1883911780065101184 1964490260183732048 2158648914657928440 2210051542706698554 2302558842301790336 2354889725081376480 2455612825229665060 2590378697589514128 2701174107752631566 2878198552877237920 2946735390275598072 3139852966775168640 3237973371986892660 3453838263452685504 3683419237844497590 3928980520367464096 4051761161628947349 4317297829315856880 4420103085413397108 4709779450162752960 4911225650459330120 5180757395179028256 5402348215505263132 5525128856766746385 5756397105754475840 5893470780551196144 6475946743973785320 6752935269381578915 6907676526905371008 7366838475688995180 7857961040734928192 8103522323257894698 8634595658631713760 8840206170826794216 9419558900325505920 9822451300918660240 10361514790358056512 10804696431010526264 11050257713533492770 11512794211508951680 11786941561102392288 12155283484886842047 12951893487947570640 13505870538763157830 14733676951377990360 15715922081469856384 16207044646515789396 17269191317263427520 17680412341653588432 19644902601837320480 20258805808144736745 20723029580716113024 21609392862021052528 22100515427066985540 23573883122204784576 24310566969773684094 25903786975895141280 27011741077526315660 29467353902755980720 32414089293031578792 34538382634526855040 35360824683307176864 39289805203674640960 40517611616289473490 43218785724042105056 44201030854133971080 47147766244409569152 48621133939547368188 51807573951790282560 54023482155052631320 58934707805511961440 60776417424434210235 64828178586063157584 70721649366614353728 78579610407349281920 81035223232578946980 86437571448084210112 88402061708267942160 97242267879094736376 103615147903580565120 108046964310105262640 117869415611023922880 121552834848868420470 129656357172126315168 141443298733228707456 162070446465157893960 172875142896168420224 176804123416535884320 194484535758189472752 216093928620210525280 235738831222047845760 243105669697736840940 259312714344252630336 324140892930315787920 353608246833071768640 388969071516378945504 432187857240421050560 486211339395473681880 518625428688505260672 648281785860631575840 672715133471666743187 707216493666143537280 777938143032757891008 864375714480842101120 972422678790947363760 1296563571721263151680 1345430266943333486374 1555876286065515782016 1944845357581894727520 2018145400415000229561 2593127143442526303360 2690860533886666972748 3363575667358333715935 3889690715163789455040 4036290800830000459122 5381721067773333945496 6054436201245000688683 6727151334716667431870 7399866468188334175057 7779381430327578910080 8072581601660000918244 10090727002075001147805 10763442135546667890992 12108872402490001377366 13454302669433334863740 14799732936376668350114 16145163203320001836488 20181454004150002295610 21526884271093335781984 22199599404565002525171 24217744804980002754732 26908605338866669727480 29599465872753336700228 30272181006225003443415 32290326406640003672976 36999332340941670875285 40362908008300004591220 43053768542186671563968 44399198809130005050342 48435489609960005509464 53817210677733339454960 59198931745506673400456 60544362012450006886830 64580652813280007345952 66598798213695007575513 73998664681883341750570 80725816016600009182440 86107537084373343127936 88798397618260010100684 96870979219920011018928 107634421355466678909920 110997997022825012625855 118397863491013346800912 121088724024900013773660 129161305626560014691904 133197596427390015151026 147997329363766683501140 161451632033200018364880 177596795236520020201368 193741958439840022037856 215268842710933357819840 221995994045650025251710 236795726982026693601824 242177448049800027547320 258322611253120029383808 266395192854780030302052 295994658727533367002280 322903264066400036729760 332993991068475037877565 355193590473040040402736 387483916879680044075712 430537685421866715639680 443991988091300050503420 473591453964053387203648 484354896099600055094640 532790385709560060604104 591989317455066734004560 645806528132800073459520 665987982136950075755130 710387180946080080805472 774967833759360088151424 887983976182600101006840 947182907928106774407296 968709792199200110189280 1065580771419120121208208 1183978634910133468009120 1291613056265600146919040 1331975964273900151510260 1420774361892160161610944 1775967952365200202013680 1937419584398400220378560 2131161542838240242416416 2367957269820266936018240 2663951928547800303020520 2841548723784320323221888 3551935904730400404027360 3874839168796800440757120 4262323085676480484832832 4735914539640533872036480 5327903857095600606041040 7103871809460800808054720 8524646171352960969665664 10655807714191201212082080 14207743618921601616109440 21311615428382402424164160 42623230856764804848328320
• Sum of all divisors σ(n): 160593343735223508661843200
• Sum of proper divisors (its aliquot sum) s(n): 117970112878458703813514880
• 42623230856764804848328320 is an abundant number, because the sum of its proper divisors (117970112878458703813514880) is greater than itself. Its abundance is 75346882021693898965186560

Bases of 42623230856764804848328320

• Binary: 10001101000001110100011111100110000011011111111111101010001110010000101001111010000000₂
• Hexadecimal: 0x2341D1F9837FFA8E429E80
• Base-36: 5CSTULS3VGAGJGKG0

Squares and roots of 42623230856764804848328320

• 42623230856764804848328320 squared (42623230856764804848328320²) is 1816739808669067399956757024541310344559498514022400
• 42623230856764804848328320 cubed (42623230856764804848328320³) is 77435320271576381308401706263231839296381460384854766255473302052719034368000
• The square root of 42623230856764804848328320 is 6528646939203.0080008963
• The cube root of 42623230856764804848328320 is 349313568.5241458531

Scales and comparisons

• 42,623,230,856,764,804,848,328,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 42,623,230,856,764,804,848,328,320 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42623230856764804848328320 cubic inches would be around 29109464 feet tall.

Recreational maths with 42623230856764804848328320

• 42623230856764804848328320 backwards is 02382384840846765803232624
• The number of decimal digits it has is: 26
• The sum of 42623230856764804848328320's digits is 108
• More coming soon!