42128142785725090141026576
42,128,142,785,725,090,141,026,576 is an even composite number composed of six prime numbers multiplied together.
What does the number 42128142785725090141026576 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1215 divisors.
42128142785725090141026576 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred fifteen divisors.
Prime factorization of 42128142785725090141026576:
24 × 32 × 2692 × 3112 × 6532 × 99012
(2 × 2 × 2 × 2 × 3 × 3 × 269 × 269 × 311 × 311 × 653 × 653 × 9901 × 9901)See below for interesting mathematical facts about the number 42128142785725090141026576 from the Numbermatics database.
Names of 42128142785725090141026576
- Cardinal: 42128142785725090141026576 can be written as Forty-two septillion, one hundred twenty-eight sextillion, one hundred forty-two quintillion, seven hundred eighty-five quadrillion, seven hundred twenty-five trillion, ninety billion, one hundred forty-one million, twenty-six thousand, five hundred seventy-six.
Scientific notation
- Scientific notation: 4.2128142785725090141026576 × 1025
Factors of 42128142785725090141026576
Divisors of 42128142785725090141026576
- Number of divisors d(n): 1215
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269 311 538 622 653 807 933 1076 1244 1306 1614 1866 1959 2152 2421 2488 2612 2799 3228 3732 3918 4304 4842 4976 5224 5598 5877 6456 7464 7836 9684 9901 10448 11196 11754 12912 14928 15672 19368 19802 22392 23508 29703 31344 38736 39604 44784 47016 59406 72361 79208 83659 89109 94032 96721 118812 144722 158416 167318 175657 178218 193442 203083 217083 237624 250977 289444 290163 334636 351314 356436 386884 406166 426409 434166 475248 501954 526971 578888 580326 609249 651249 669272 702628 712872 752931 773768 812332 852818 868332 870489 1003908 1053942 1157776 1160652 1218498 1279227 1302498 1338544 1405256 1425744 1505862 1547536 1580913 1624664 1705636 1736664 1740978 1827747 2007816 2107884 2321304 2436996 2558454 2604996 2663369 2810512 3011724 3079211 3161826 3249328 3411272 3473328 3481956 3655494 3837681 4015632 4215768 4642608 4873992 5116908 5209992 5326738 6023448 6158422 6323652 6465353 6822544 6963912 7310988 7675362 7990107 8431536 9237633 9747984 10233816 10419984 10653476 12046896 12316844 12647304 12930706 13927824 14621976 15350724 15980214 18475266 19396059 20467632 21306952 22504271 23970321 24633688 25294608 25861412 26017949 27712899 29243952 30701448 31960428 36950532 38792118 42613904 45008542 47251733 47940642 49267376 51722824 52035898 54629327 55425798 58188177 61402896 63158813 63920856 67512813 73901064 77584236 78053847 90017084 94503466 95881284 98029801 103445648 104071796 109258654 110851596 114704021 116376354 126317626 127841712 132613199 135025626 141755199 147802128 155168472 156107694 163887981 180034168 189006932 189476439 191762568 196059602 202538439 208143592 218517308 221703192 229408042 232752708 234161541 252635252 265226398 270051252 283510398 294089403 310336944 312215388 327775962 344112063 360068336 378013864 378952878 383525136 392119204 397839597 405076878 416287184 425265597 437034616 443406384 458816084 465505416 468323082 491663943 505270504 530452796 540102504 567020796 568429317 588178806 624430776 655551924 688224126 716446261 756027728 757905756 784238408 795679194 810153756 828307759 850531194 874069232 882268209 917632168 931010832 936646164 957634621 983327886 1010541008 1032336189 1060905592 1080205008 1134041592 1136858634 1176357612 1193518791 1248861552 1311103848 1376448252 1432892522 1515811512 1568476816 1591358388 1620307512 1656615518 1701062388 1739179957 1764536418 1835264336 1873292328 1915269242 1966655772 2010724783 2064672378 2121811184 2149338783 2268083184 2273717268 2352715224 2387037582 2484923277 2622207696 2752896504 2865785044 2872903863 3031623024 3182716776 3240615024 3313231036 3402124776 3478359914 3529072836 3746584656 3830538484 3933311544 4021449566 4129344756 4221875509 4298677566 4547434536 4705430448 4774075164 4969846554 5217539871 5505793008 5731570088 5745807726 6032174349 6365433552 6448016349 6626462072 6804249552 6956719828 6998828281 7058145672 7454769831 7661076968 7866623088 8042899132 8258689512 8443751018 8597355132 8618711589 9094869072 9548150328 9939693108 10435079742 11463140176 11491615452 12064348698 12665626527 12896032698 13252924144 13913439656 13997656562 14116291344 14695288963 14909539662 15322153936 15652619613 16085798264 16517379024 16887502036 16989720697 17194710264 17237423178 18096523047 19096300656 19879386216 20870159484 20996484843 22983230904 24128697396 25331253054 25792065396 26370016469 27826879312 27995313124 29390577926 29819079324 30487268111 30855381649 31305239226 32171596528 33775004072 33979441394 34389420528 34474846356 35672950531 36193046094 37996879581 39758772432 41242704889 41740318968 41992969686 44085866889 45966461808 48257394792 50662506108 50969162091 51584130792 52740032938 55990626248 58781155852 59638158648 60974536222 61710763298 62610478452 62989454529 64013460053 67550008144 67958882788 68949692712 71345901062 72386092188 75993759162 79110049407 82485409778 83480637936 83985939372 88171733778 91461804333 92566144947 96514789584 101325012216 101938324182 103168261584 105480065876 107018851593 111981252496 117562311704 119276317296 121949072444 123421526596 123728114667 125220956904 125978909058 128026920106 132257600667 135917765576 137899385424 142691802124 144772184376 151987518324 152907486273 158220098814 164970819556 167971878744 176343467556 182923608666 185132289894 192040380159 202650024432 203876648364 210960131752 214037703186 222814787171 235124623408 237330148221 243898144888 246843053192 247456229334 250441913808 251957818116 256053840212 257603713049 264515201334 271835531152 274385412999 277698434841 285383604248 289544368752 303975036648 305814972546 316440197628 321056554779 329941639112 335943757488 352686935112 365847217332 370264579788 371184344001 384080760318 407753296728 421920263504 428075406372 445629574342 467839408433 474660296442 487796289776 493686106384 494912458668 503915636232 512107680424 515207426098 529030402668 540884966627 548770825998 555396869682 570767208496 576121140477 607950073296 611629945092 625335407513 632880395256 642113109558 659883278224 668444361513 705373870224 731694434664 740529159576 742368688002 768161520636 772811139147 815506593456 856150812744 891259148684 935678816866 949320592884 989824917336 1007831272464 1024215360848 1030414852196 1058060805336 1081769933254 1097541651996 1110793739364 1135684511921 1152242280954 1223259890184 1250670815026 1265760790512 1284226219116 1313003283299 1336888723026 1403518225299 1463388869328 1481058319152 1484737376004 1536323041272 1545622278294 1622654899881 1712301625488 1782518297368 1871357633732 1876006222539 1898641185768 1979649834672 2005333084539 2060829704392 2116121610672 2163539866508 2195083303992 2221587478728 2271369023842 2304484561908 2318433417441 2446519780368 2501341630052 2568452438232 2626006566598 2673777446052 2807036450598 2969474752008 3072646082544 3091244556588 3245309799762 3407053535763 3565036594736 3742715267464 3752012445078 3797282371536 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17906180210837574 18528311931580532 18574337609358639 19600513013087472 19854802870020639 20404274903185192 20951720067263472 21421208218295708 21995937626885928 22488824705059642 22954809266083341 23874906947783432 24222992345423568 24765783479144852 25430247590935032 26000091015886798 26473070493360852 26859270316256361 27792467897370798 29400769519631208 30606412354777788 32131812327443562 33733237057589463 35297427324481136 35812360421675148 37056623863161064 37148675218717278 39000136523830197 39709605740041278 40808549806370384 41688701846056197 42842416436591416 43991875253771856 44977649410119284 45249895423048193 45909618532166682 47749813895566864 48197718491165343 49531566958289704 50860495181870064 52000182031773596 52946140986721704 53718540632512722 55584935794741596 55723012828075917 58801539039262416 61212824709555576 64263624654887124 67466474115178926 71624720843350296 74113247726322128 74297350437434556 78000273047660394 79419211480082556 83377403692112394 85684832873182832 89955298820238568 90499790846096386 91819237064333364 95010230582798939 96395436982330686 99063133916579408 101199711172768389 104000364063547192 105892281973443408 107437081265025444 109844541677511041 111169871589483192 111446025656151834 117000409571490591 122425649419111152 128527249309774248 134932948230357852 135749686269144579 143249441686700592 148594700874869112 156000546095320788 158838422960165112 166754807384224788 179910597640477136 180999581692192772 183638474128666728 190020461165597878 192790873964661372 202399422345536778 208000728127094384 214874162530050888 219689083355022082 222339743178966384 222892051312303668 234000819142981182 257054498619548496 269865896460715704 271499372538289158 285030691748396817 297189401749738224 312001092190641576 317676845920330224 329533625032533123 333509614768449576 361999163384385544 367276948257333456 380040922331195756 385581747929322744 404798844691073556 407249058807433737 429748325060101776 439378166710044164 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5762305010721545452 6049493845661043698 6174843692576418729 6515984940918939792 6661995755889965188 6840736601961523608 6994024483273548662 7908807000780794952 8086028305940794178 8233124923435224972 8643457516082318178 9074240768491565547 9992993633834947782 10491036724910322993 10977499897913633296 11524610021443090904 12098987691322087396 12129042458911191267 12349687385152837458 12965186274123477267 13323991511779930376 13681473203923047216 13988048966547097324 14989490450752421673 15817614001561589904 16172056611881588356 16466249846870449944 17286915032164636356 18148481536983131094 19985987267669895564 20982073449820645986 23049220042886181808 24197975382644174792 24258084917822382534 24699374770305674916 25930372548246954534 26647983023559860752 27222722305474696641 27976097933094194648 29548181711250470029 29978980901504843346 31473110174730968979 32344113223763176712 32932499693740899888 34573830064329272712 36296963073966262188 36387127376733573801 39971974535339791128 41964146899641291972 48395950765288349584 48516169835644765068 49398749540611349832 51860745096493909068 54445444610949393282 55952195866188389296 59096363422500940058 59957961803009686692 62946220349461937958 64688226447526353424 69147660128658545424 72593926147932524376 72774254753467147602 79943949070679582256 83928293799282583944 88644545133751410087 97032339671289530136 98797499081222699664 103721490192987818136 108890889221898786564 118192726845001880116 119915923606019373384 125892440698923875916 145187852295865048752 145548509506934295204 167856587598565167888 177289090267502820174 194064679342579060272 207442980385975636272 217781778443797573128 236385453690003760232 239831847212038746768 251784881397847751832 265933635401254230261 291097019013868590408 354578180535005640348 435563556887595146256 448019214583600158893 472770907380007520464 503569762795695503664 531867270802508460522 582194038027737180816 709156361070011280696 896038429167200317786 940696293000292295039 1063734541605016921044 1087570807149036816941 1344057643750800476679 1418312722140022561392 1792076858334400635572 1881392586000584590078 2127469083210033842088 2175141614298073633882 2688115287501600953358 2822088879000876885117 3262712421447110450823 3584153716668801271144 3762785172001169180156 4032172931252401430037 4254938166420067684176 4350283228596147267764 5376230575003201906716 5644177758001753770234 6525424842894220901646 7168307433337602542288 7525570344002338360312 8064345862504802860074 8466266637002630655351 8700566457192294535528 9788137264341331352469 10752461150006403813432 11288355516003507540468 13050849685788441803292 15051140688004676720624 16128691725009605720148 16932533274005261310702 17401132914384589071056 19576274528682662704938 21504922300012807626864 22576711032007015080936 26101699371576883606584 32257383450019211440296 33865066548010522621404 39152549057365325409876 45153422064014030161872 52203398743153767213168 64514766900038422880592 67730133096021045242808 78305098114730650819752 135460266192042090485616 156610196229461301639504 292556547123090903757129 585113094246181807514258 877669641369272711271387 1170226188492363615028516 1755339282738545422542774 2340452376984727230057032 2633008924107818133814161 3510678565477090845085548 4680904753969454460114064 5266017848215636267628322 7021357130954181690171096 10532035696431272535256644 14042714261908363380342192 21064071392862545070513288 42128142785725090141026576
- Sum of all divisors σ(n): 118916046481076840911711341
- Sum of proper divisors (its aliquot sum) s(n): 76787903695351750770684765
- 42128142785725090141026576 is an abundant number, because the sum of its proper divisors (76787903695351750770684765) is greater than itself. Its abundance is 34659760909626660629658189
Bases of 42128142785725090141026576
- Binary: 100010110110001111101100110010010100010100111001100001000011000110111110111001000100002
- Hexadecimal: 0x22D8FB32514E610C6FB910
- Base-36: 5AK7HYPX86HH5CTG0
Squares and roots of 42128142785725090141026576
- 42128142785725090141026576 squared (421281427857250901410265762) is 1774780414574440958211852516127922259872175138283776
- 42128142785725090141026576 cubed (421281427857250901410265763) is 74768202718500419480196127492482361880970708192062404951929400564327445630976
-
42128142785725090141026576 is a
perfect square number . Itssquare root is 6490619599524 -
The
cube root of 42128142785725090141026576 is 347955819.6481924261
Scales and comparisons
How big is 42128142785725090141026576?- 42,128,142,785,725,090,141,026,576 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,128,142,785,725,090,141,026,576 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 42128142785725090141026576 cubic inches would be around 28996318.3 feet tall.
Recreational maths with 42128142785725090141026576
- 42128142785725090141026576 backwards is 67562014109052758724182124
- The number of decimal digits it has is: 26
- The sum of 42128142785725090141026576's digits is 99
- More coming soon!
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The information we have on file for 42128142785725090141026576 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!
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