42107047726242957442607168
42,107,047,726,242,957,442,607,168 is an even composite number composed of five prime numbers multiplied together.
What does the number 42107047726242957442607168 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
42107047726242957442607168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42107047726242957442607168:
26 × 73 × 133 × 1013 × 94632
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 13 × 101 × 101 × 101 × 9463 × 9463)See below for interesting mathematical facts about the number 42107047726242957442607168 from the Numbermatics database.
Names of 42107047726242957442607168
- Cardinal: 42107047726242957442607168 can be written as Forty-two septillion, one hundred seven sextillion, forty-seven quintillion, seven hundred twenty-six quadrillion, two hundred forty-two trillion, nine hundred fifty-seven billion, four hundred forty-two million, six hundred seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2107047726242957442607168 × 1025
Factors of 42107047726242957442607168
Divisors of 42107047726242957442607168
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 101 104 112 169 182 196 202 208 224 338 343 364 392 404 416 448 637 676 686 707 728 784 808 832 1183 1274 1313 1352 1372 1414 1456 1568 1616 2197 2366 2548 2626 2704 2744 2828 2912 3136 3232 4394 4459 4732 4949 5096 5252 5408 5488 5656 5824 6464 8281 8788 8918 9191 9463 9464 9898 10192 10201 10504 10816 10976 11312 15379 16562 17069 17576 17836 18382 18926 18928 19796 20384 20402 21008 21952 22624 30758 33124 34138 34643 35152 35672 36764 37852 37856 39592 40768 40804 42016 45248 57967 61516 64337 66241 66248 68276 69286 70304 71344 71407 73528 75704 75712 79184 81608 84032 107653 115934 119483 123019 123032 128674 132482 132496 132613 136552 138572 140608 142688 142814 147056 151408 158368 163216 215306 221897 231868 238966 246038 246064 257348 264964 264992 265226 273104 277144 285376 285628 294112 302816 316736 326432 430612 443794 450359 463687 463736 477932 492076 492128 499849 514696 529928 529984 530452 546208 554288 571256 588224 605632 652864 753571 836381 861133 861224 887588 900718 927374 927472 928291 955763 955864 984152 984256 999698 1029392 1030301 1059856 1060904 1092416 1108576 1142512 1507142 1553279 1599247 1672762 1722266 1722448 1723969 1775176 1801436 1854748 1854944 1856582 1911526 1911728 1968304 1999396 2058784 2060602 2119712 2121808 2217152 2285024 3014284 3106558 3198494 3245809 3345524 3444532 3444896 3447938 3498943 3550352 3602872 3709496 3709888 3713164 3823052 3823456 3936608 3998792 4117568 4121204 4239424 4243616 4570048 5854667 6027931 6028568 6213116 6396988 6491618 6498037 6690341 6691048 6889064 6889792 6895876 6997886 7100704 7205744 7212107 7418992 7426328 7646104 7646912 7873216 7997584 8242408 8487232 10872953 11194729 11709334 12055862 12057136 12067783 12424919 12426232 12793976 12983236 12996074 13380682 13382096 13393913 13778128 13791752 13995772 14201408 14411488 14424214 14837984 14852656 15292208 15995168 16484816 20790211 21745906 22389458 22411597 23418668 24111724 24114272 24135566 24849838 24852464 25587952 25966472 25992148 26761364 26764192 26787826 27556256 27583504 27991544 28822976 28848428 29675968 29705312 30584416 31990336 32969632 41580422 42195517 43491812 44778916 44823194 45486259 46832387 46837336 48223448 48228544 48271132 49699676 49704928 50484749 51175904 51932944 51984296 53522728 53528384 53575652 55112512 55167008 55983088 57696856 59410624 61168832 65939264 76110671 78363103 83160844 84391034 84474481 86974433 86983624 89548369 89557832 89646388 90972518 93664774 93674672 93757391 96446896 96532063 96542264 99399352 99409856 100969498 102351808 103865888 103968592 107045456 107151304 110334016 111966176 115393712 145531477 152221342 156726206 156881179 161523947 166321688 168782068 168948962 173948866 173967248 174120869 179096738 179115664 179292776 181945036 187329548 187349344 187514782 192893792 193064126 193084528 198798704 201938996 207731776 207937184 214090912 214302608 223932352 230787424 291062954 304442684 313452412 313762358 323047894 327826709 332643376 337564136 337897924 347897732 347934496 348241738 353393243 358193476 358231328 358585552 363890072 374659096 374698688 375029564 385787584 386128252 386169056 397597408 403877992 415874368 428181824 428605216 461574848 548541721 582125908 591321367 608821031 608885368 626838583 626904824 627524716 646095788 655653418 656301737 665286752 675128272 675724441 675795848 695795464 695868992 696483476 706786486 716386952 716462656 717171104 727780144 749318192 750059128 772256504 772338112 795194816 807755984 857210432 1018720339 1097083442 1098168253 1130667629 1164128797 1164251816 1182642734 1217642062 1217770736 1218846083 1253677166 1253809648 1254916819 1255049432 1292191576 1311306836 1312603474 1330573504 1350256544 1351448882 1351591696 1391590928 1392966952 1413572972 1432773904 1434342208 1455560288 1498636384 1500118256 1544513008 1615511968 2037440678 2099811311 2194166884 2196336506 2261335258 2263571297 2328257594 2328503632 2365285468 2435284124 2435541472 2437692166 2507354332 2507619296 2509833638 2510098864 2584383152 2622613672 2625206948 2700513088 2702897764 2703183392 2783181856 2785933904 2827145944 2865547808 2911120576 2997272768 3000236512 3089026016 3231023936 4074881356 4199622622 4261747217 4387870081 4388333768 4392673012 4522670516 4527142594 4594112159 4656515188 4657007264 4730071087 4730570936 4870568248 4871082944 4875384332 5014708664 5015238592 5019667276 5020197728 5168766304 5245227344 5250413896 5405795528 5406366784 5566363712 5571867808 5654291888 5731095616 6000473024 6178052032 7131042373 7687177771 7914673403 8148901579 8149762712 8399245244 8523494434 8531922581 8775740162 8776667536 8784417733 8785346024 9044385269 9045341032 9054285188 9188224318 9313030376 9314014528 9460142174 9461141872 9741136496 9749738363 9750768664 10029417328 10039334552 10040395456 10337532608 10490454688 10500827792 10811591056 11143735616 11308583776 14262084746 14698679177 15133674361 15374355542 15829346806 15844999079 16297803158 16299525424 16313918647 16798490488 17046988868 17063845162 17551480324 17553335072 17568835466 17570692048 18088770538 18090682064 18108570376 18376448636 18626060752 18920284348 18922283744 19482272992 19499476726 19501537328 20058834656 20078669104 20980909376 21001655584 21623182112 22617167552 28524169492 29397358354 30267348722 30715090567 30748711084 31658693612 31689998158 32595606316 32599050848 32627837294 33110497609 33596980976 34093977736 34127690324 35102960648 35106670144 35137670932 35141384096 36177541076 36181364128 36217140752 36752897272 37252121504 37840568696 37844567488 38964545984 38998953452 39003074656 40117669312 40157338208 42003311168 43246364224 55402713821 57042311053 57048338984 58794716708 59723458067 60534697444 61430181134 61490924131 61497422168 63310696883 63317387224 63379996316 65191212632 65198101696 65255674588 66220995218 67193961952 68187955472 68248168541 68255380648 70205921296 70275341864 70282768192 72355082152 72362728256 72434281504 73505794544 74504243008 75681137392 77997906904 78006149312 80314676416 102890754239 105935720527 110805427642 110914993553 114084622106 114096677968 114197430529 117577008497 117589433416 119446916134 121069394888 122860362268 122981848262 122994844336 126621393766 126634774448 126746598719 126759992632 130382425264 130511349176 132441990436 134387923904 136375910944 136496337082 136510761296 140411842592 140550683728 144710164304 144868563008 147011589088 151362274784 155995813808 196737766693 205781508478 211871441054 212080942411 221610855284 221829987106 228169244212 228193355936 228394861058 235154016994 235178866832 238893832268 242138789776 245720724536 245963696524 245989688672 253242787532 253269548896 253493197438 253519985264 260764850528 261022698352 264883980872 272751821888 272992674164 273021522592 280823685184 281101367456 289420328608 294023178176 302724549568 311991627616 393475533386 399296177371 411563016956 423742882108 424161884822 430436468917 443174878181 443221710568 443659974212 456338488424 456386711872 456789722116 470308033988 470357733664 477737179787 477787664536 484277579552 491441449072 491927393048 491979377344 506485575064 506539097792 506986394876 507039970528 521529701056 522045396704 529767961744 545985348328 546043045184 562202734912 578840657216 623983255232 720235279673 741550043689 776404954871 786951066772 798592354742 799382013703 823039059479 823126033912 847485764216 848323769644 860872937834 886349756362 886443421136 887226191033 887319948424 912676976848 913482912169 913579444232 940616067976 940715467328 955474359574 955575329072 968555159104 982882898144 983854786096 1012971150128 1013972789752 1014079941056 1044090793408 1059535923488 1091970696656 1377164366851 1440470559346 1483100087378 1484566596877 1528501110461 1552809909742 1573902133544 1597184709484 1598764027406 1646078118958 1646252067824 1647705783347 1694971528432 1696647539288 1721745875668 1772699512724 1772886842272 1774452382066 1774639896848 1825353953696 1826965824338 1827158888464 1881232135952 1910948719148 1911150658144 1965765796288 1967709572192 2025942300256 2027945579504 2119071846976 2183941393312 2754328733702 2880941118692 2966200174756 2969133193754 3057002220922 3102224147267 3105619819484 3147804267088 3194369418968 3197528054812 3292156237916 3292504135648 3295411566694 3344160258509 3389943056864 3393295078576 3443491751336 3545399025448 3545773684544 3548904764132 3549279793696 3650707907392 3653931648676 3654317776928 3762464271904 3821897438296 3822301316288 3935419144384 4051884600512 4055891159008 4367882786624 5190850305823 5508657467404 5595674095921 5761273416353 5761882237384 5932400349512 5938266387508 6114004441844 6204448294534 6210583337231 6211239638968 6295608534176 6388738837936 6394380385183 6395056109624 6584312475832 6585008271296 6590823133388 6688320517018 6779886113728 6786590157152 6886983502672 7090798050896 7097809528264 7098559587392 7307863297352 7308635553856 7524928543808 7643794876592 8111782318016 9640150567957 10381700611646 10391966178139 10699507773227 11017314934808 11191348191842 11522546832706 11523764474768 11533940483429 11864800699024 11875277858197 11876532775016 12228008883688 12408896589068 12421166674462 12422479277936 12591217068352 12777477675872 12788760770366 12790112219248 13168624951664 13181646266776 13376641034036 13573180314304 13773967005344 14181596101792 14195619056528 14615726594704 15287589753184 19280301135914 19870514435993 20763401223292 20783932356278 21399015546454 21420175183511 22034629869616 22382696383684 23045093665412 23047528949536 23067880966858 23729601398048 23750555716394 23753065550032 24456017767376 24817793178136 24842333348924 24844958555872 25554955351744 25577521540732 25580224438496 26337249903328 26363292533552 26753282068072 27547934010688 28363192203584 28391238113056 29231453189408 30575179506368 38560602271828 39741028871986 40328913914471 41526802446584 41567864712556 42798031092908 42840350367022 43474083360617 44069259739232 44760662696281 44765392767368 46090187330824 46095057899072 46135761933716 47459202796096 47501111432788 47506131100064 48912035534752 49635586356272 49684666697848 49689917111744 51155043081464 51160448876992 52674499806656 52726585067104 53506564136144 56782476226112 58462906378816 67481053975699 72743763246973 74896554412589 77121204543656 79482057743972 80657827828942 80737583384003 83053604893168 83126945007379 83135729425112 85596062185816 85680700734044 86948166721234 88138519478464 89521325392562 89530785534736 92180374661648 92261774129069 92271523867432 95002222865576 95012262200128 97824071069504 99271172712544 99369333395696 102310086162928 105453170134208 107013128272288 134962107951398 139093601051951 145487526493946 149793108825178 149941226284577 154242409087312 154378612156561 158964115487944 161315655657884 161475166768006 166107209786336 166253890014758 166271458850224 171192124371632 171361401468088 173896333442468 179042650785124 179061571069472 184360749323296 184523548258138 184543047734864 190004445731152 198542345425088 198738666791392 204620172325856 214026256544576 269924215902796 278187202103902 290975052987892 299586217650356 299882452569154 308484818174624 308757224313122 313324638873967 317928230975888 322631311315768 322950333536012 332214419572672 332507780029516 332542917700448 342384248743264 342722802936176 347792666884936 358085301570248 358123142138944 368721498646592 369047096516276 369086095469728 380008891462304 397477333582784 409240344651712 524275880888123 539848431805592 556374404207804 565163083688021 581888615051653 581950105975784 599172435300712 599764905138308 616969636349248 617514448626244 626649277747934 635856461951776 645262622631536 645832418903483 645900667072024 665015560059032 665085835400896 684768497486528 685445605872352 695585333769872 716170603140496 738094193032552 738172190939456 760017782924608 973655207363657 1048551761776246 1049588583992039 1079696863611184 1080650285095927 1112748808415608 1130326167376042 1163777230103306 1163900211951568 1198344870601424 1199403063677897 1199529810276616 1235028897252488 1253298555495868 1271712923903552 1290525245263072 1291664837806966 1291801334144048 1330031120118064 1370891211744704 1391170667539744 1432341206280992 1476188386065104 1947310414727314 2006921958035293 2097103523552492 2099177167984078 2159393727222368 2161300570191854 2225497616831216 2260652334752084 2327554460206612 2327800423903136 2396689741202848 2398806127355794 2399059620553232 2470057794504976 2506597110991736 2581050490526144 2583329675613932 2583602668288096 2660062240236128 2782341335079488 2864682412561984 2952376772130208 3894620829454628 4013843916070586 4073220305361571 4194207047104984 4198354335968156 4318787454444736 4322601140383708 4450995233662432 4520826932324381 4521304669504168 4655108920413224 4655600847806272 4793379482405696 4797612254711588 4798119241106464 4940115589009952 5013194221983472 5166659351227864 5167205336576192 5320124480472256 5904753544260416 6815586451545599 7347120087944273 7564551995671489 7789241658909256 8027687832141172 8146440610723142 8388414094209968 8395821445745279 8396708671936312 8645202280767416 8901990467324864 9041653864648762 9042609339008336 9310217840826448 9595224509423176 9596238482212928 9880231178019904 10026388443966944 10333318702455728 13631172903091198 14048453706247051 14694240175888546 15129103991342978 15578483317818512 15592239827812661 16055375664282344 16292881221446284 16776828188419936 16791642891490558 16793417343872624 17290404561534832 18083307729297524 18085218678016672 18620435681652896 19190449018846352 20052776887933888 20666637404911456 27262345806182396 28096907412494102 29388480351777092 30258207982685956 31156966635637024 31184479655625322 31645788526270667 32110751328564688 32585762442892568 33553656376839872 33583285782981116 33586834687745248 34580809123069664 36166615458595048 36170437356033344 37240871363305792 38380898037692704 41333274809822912 52951863969700423 54524691612364792 56193814824988204 58770750120216953 58776960703554184 60516415965371912 62313933271274048 62368959311250644 63291577052541334 64221502657129376 65171524885785136 67166571565962232 67173669375490496 69161618246139328 72333230917190096 76761796075385408 98339175943729357 105903727939400846 109049383224729584 109145678794688627 112387629649976408 117541500240433906 117553921407108368 121032831930743824 124737918622501288 126583154105082668 128443005314258752 130343049771570272 134333143131924464 144666461834380192 196678351887458714 202699117761564593 211807455878801692 218098766449459168 218291357589377254 224775259299952816 235083000480867812 235107842814216736 242065663861487648 249475837245002576 253166308210165336 260686099543140544 268666286263848928 289332923668760384 393356703774917428 405398235523129186 411395250841518671 423614911757603384 436197532898918336 436582715178754508 449550518599905632 470166000961735624 470215685628433472 484131327722975296 498951674490005152 506332616420330672 537332572527697856 688374231606105499 764019751562820389 786713407549834856 810796471046258372 822790501683037342 847229823515206768 873165430357509016 899101037199811264 940332001923471248 997903348980010304 1012665232840661344 1376748463212210998 1418893824330952151 1528039503125640778 1573426815099669712 1621592942092516744 1645581003366074684 1694459647030413536 1746330860715018032 1880664003846942496 2025330465681322688 2753496926424421996 2837787648661904302 3056079006251281556 3146853630199339424 3243185884185033488 3291162006732149368 3388919294060827072 3492661721430036064 3761328007693884992 5348138260939742723 5506993852848843992 5675575297323808604 6112158012502563112 6293707260398678848 6486371768370066976 6582324013464298736 6985323442860072128 9932256770316665057 10696276521879485446 11013987705697687984 11351150594647617208 12224316025005126224 12972743536740133952 13164648026928597472 19864513540633330114 21392553043758970892 22027975411395375968 22702301189295234416 24448632050010252448 26329296053857194944 39729027081266660228 42785106087517941784 44055950822790751936 45404602378590468832 48897264100020504896 69525797392216655399 79458054162533320456 85570212175035883568 90809204757180937664 139051594784433310798 158916108325066640912 171140424350071767136 278103189568866621596 317832216650133281824 342280848700143534272 556206379137733243192 635664433300266563648 1112412758275466486384 2224825516550932972768 4449651033101865945536
- Sum of all divisors σ(n): 42113865631512274439989632
- Sum of proper divisors (its aliquot sum) s(n): 6817905269316997382464
- 42107047726242957442607168 is a deficient number, because the sum of its proper divisors (6817905269316997382464) is less than itself. Its deficiency is 42100229820973640445224704
Bases of 42107047726242957442607168
- Binary: 100010110101001000001110100001100011101110110111001011011011010011101011101000010000002
- Hexadecimal: 0x22D483A18EEDCB6D3AE840
- Base-36: 5AGRU0CIOJ3PK65A8
Squares and roots of 42107047726242957442607168
- 42107047726242957442607168 squared (421070477262429574426071682) is 1773003468220102212338552886010318151332657164980224
- 42107047726242957442607168 cubed (421070477262429574426071683) is 74655941655138132515910027737292082793836244710565211941345537989173720645632
-
The
square root of 42107047726242957442607168 is 6488994353999.9291204967 -
42107047726242957442607168 is a
perfect cube number . Itscube root is 347897732
Scales and comparisons
How big is 42107047726242957442607168?- 42,107,047,726,242,957,442,607,168 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,107,047,726,242,957,442,607,168 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 42107047726242957442607168 cubic inches would be around 28991477.7 feet tall.
Recreational maths with 42107047726242957442607168
- 42107047726242957442607168 backwards is 86170624475924262774070124
- The number of decimal digits it has is: 26
- The sum of 42107047726242957442607168's digits is 107
- More coming soon!
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"Number 42107047726242957442607168 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 42107047726242957442607168 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/42107047726242957442607168/
Chicago style:
Numbermatics. 2024. "Number 42107047726242957442607168 - Facts about the integer". https://numbermatics.com/n/42107047726242957442607168/
The information we have on file for 42107047726242957442607168 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 42107047726242957442607168, math, Factors of 42107047726242957442607168, curriculum, school, college, exams, university, Prime factorization of 42107047726242957442607168, STEM, science, technology, engineering, physics, economics, calculator, forty-two septillion, one hundred seven sextillion, forty-seven quintillion, seven hundred twenty-six quadrillion, two hundred forty-two trillion, nine hundred fifty-seven billion, four hundred forty-two million, six hundred seven thousand, one hundred sixty-eight.