42613201944649728

Names of 42613201944649728

• Cardinal: 42613201944649728 can be written as Forty-two quadrillion, six hundred thirteen trillion, two hundred one billion, nine hundred forty-four million, six hundred forty-nine thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 4.2613201944649728 × 10¹⁶

Factors of 42613201944649728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 1700

Divisors of 42613201944649728

• Number of divisors d(n): 1134
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 67 72 84 96 98 112 126 128 134 144 147 168 192 196 201 224 252 256 268 288 294 336 384 392 402 441 448 469 504 512 536 576 588 603 672 768 784 804 882 896 938 1008 1024 1072 1152 1176 1206 1344 1407 1536 1568 1608 1621 1764 1792 1876 2016 2048 2144 2304 2352 2412 2688 2814 3072 3136 3216 3242 3283 3528 3584 3752 4032 4096 4221 4288 4489 4608 4704 4824 4863 5376 5628 6144 6272 6432 6484 6566 7056 7168 7504 8064 8192 8442 8576 8978 9216 9408 9648 9726 9849 10752 11256 11347 12288 12544 12864 12968 13132 13467 14112 14336 14589 15008 16128 16884 17152 17956 18432 18816 19296 19452 19698 21504 22512 22694 24576 25088 25728 25936 26264 26934 28224 28672 29178 29547 30016 31423 32256 33768 34041 34304 35912 36864 37632 38592 38904 39396 40401 43008 45024 45388 50176 51456 51872 52528 53868 56448 57344 58356 59094 60032 62846 64512 67536 68082 68608 71824 73728 75264 77184 77808 78792 79429 80802 86016 90048 90776 94269 100352 102123 102912 103744 105056 107736 108607 112896 116712 118188 120064 125692 129024 135072 136164 137216 143648 150528 154368 155616 157584 158858 161604 172032 180096 181552 188538 200704 204246 205824 207488 210112 215472 217214 219961 225792 233424 236376 238287 240128 251384 258048 270144 272328 274432 282807 287296 301056 308736 311232 315168 317716 323208 325821 360192 363104 377076 401408 408492 411648 414976 420224 430944 434428 439922 451584 466848 472752 476574 480256 502768 516096 540288 544656 548864 565614 574592 602112 617472 622464 630336 635432 646416 651642 659883 714861 720384 726208 754152 760249 816984 823296 829952 840448 861888 868856 879844 903168 933696 945504 953148 960512 977463 1005536 1080576 1089312 1131228 1149184 1204224 1234944 1244928 1260672 1270864 1292832 1303284 1319766 1429722 1440768 1452416 1508304 1520498 1633968 1646592 1659904 1680896 1723776 1737712 1759688 1806336 1867392 1891008 1906296 1921024 1954926 1979649 2011072 2161152 2178624 2262456 2280747 2298368 2469888 2489856 2521344 2541728 2585664 2606568 2627641 2639532 2859444 2881536 2904832 3016608 3040996 3267936 3319808 3361792 3447552 3475424 3519376 3612672 3734784 3782016 3812592 3842048 3909852 3959298 4022144 4322304 4357248 4524912 4561494 4596736 4939776 4979712 5042688 5083456 5171328 5213136 5255282 5279064 5321743 5718888 5763072 5809664 6033216 6081992 6535872 6639616 6723584 6842241 6895104 6950848 7038752 7276669 7469568 7564032 7625184 7819704 7882923 7918596 8044288 8644608 8714496 9049824 9122988 9193472 9959424 10085376 10166912 10342656 10426272 10510564 10558128 10643486 11437776 11526144 11619328 12066432 12163984 13071744 13279232 13447168 13684482 13790208 13901696 14077504 14553338 14939136 15128064 15250368 15639408 15765846 15837192 15965229 16088576 17289216 17428992 18099648 18245976 18386944 18393487 19918848 20170752 20333824 20685312 20852544 21021128 21116256 21286972 21830007 22875552 23238656 23648769 24132864 24327968 26143488 26894336 27368964 27580416 27803392 28155008 29106676 29878272 30256128 30500736 31278816 31531692 31674384 31930458 32177152 34578432 34857984 36199296 36491952 36773888 36786974 39837696 40341504 40667648 41370624 41705088 42042256 42232512 42573944 43660014 45751104 46477312 47297538 47895687 48265728 48655936 50936683 52286976 54737928 55160832 55180461 55606784 56310016 58213352 59756544 60512256 61001472 62557632 63063384 63348768 63860916 64354304 65490021 69715968 72398592 72983904 73573948 80683008 81335296 82741248 83410176 84084512 84465024 85147888 87320028 91502208 92954624 94595076 95791374 96531456 97311872 101873366 104573952 109475856 110321664 110360922 111213568 112620032 116426704 119513088 121024512 122002944 125115264 126126768 126697536 127721832 128708608 128754409 130980042 139431936 144797184 145967808 147147896 152810049 162670592 165482496 165541383 166820352 168169024 168930048 170295776 174640056 176051947 183004416 189190152 191582748 193062912 194623744 203746732 209147904 218951712 220721844 222427136 225240064 232853408 242049024 244005888 250230528 252253536 253395072 255443664 257417216 257508818 261960084 278863872 289594368 291935616 294295792 305620098 325341184 330964992 331082766 333640704 336338048 337860096 340591552 349280112 352103894 356556781 366008832 378380304 383165496 386125824 386263227 389247488 407493464 418295808 437903424 441443688 444854272 450480128 458430147 465706816 488011776 500461056 504507072 506790144 510887328 515017636 523920168 528155841 579188736 583871232 588591584 611240196 650682368 662165532 667281408 672676096 675720192 681183104 698560224 704207788 713113562 732017664 756760608 766330992 772251648 772526454 778494976 814986928 836591616 875806848 882887376 889708544 900960256 916860294 931413632 976023552 1000922112 1009014144 1013580288 1021774656 1030035272 1047840336 1056311682 1069670343 1158377472 1158789681 1167742464 1177183168 1222480392 1232363629 1324331064 1334562816 1345352192 1351440384 1362366208 1397120448 1408415576 1426227124 1464035328 1513521216 1532661984 1545052908 1556989952 1584467523 1629973856 1751613696 1765774752 1801920512 1833720588 1862827264 1952047104 2001844224 2018028288 2027160576 2043549312 2060070544 2095680672 2112623364 2139340686 2316754944 2317579362 2335484928 2354366336 2444960784 2464727258 2648662128 2669125632 2690704384 2702880768 2724732416 2794240896 2816831152 2852454248 2928070656 3027042432 3065323968 3090105816 3113979904 3168935046 3209011029 3259947712 3503227392 3531549504 3667441176 3697090887 3725654528 4003688448 4036056576 4054321152 4087098624 4120141088 4191361344 4225246728 4278681372 4635158724 4670969856 4708732672 4889921568 4929454516 5297324256 5381408768 5405761536 5449464832 5588481792 5633662304 5704908496 5856141312 6054084864 6130647936 6180211632 6227959808 6337870092 6418022058 6519895424 7006454784 7063099008 7334882352 7394181774 7451309056 8007376896 8072113152 8108642304 8174197248 8240282176 8382722688 8450493456 8557362744 8626545403 9270317448 9341939712 9417465344 9779843136 9858909032 10594648512 10762817536 10898929664 11091272661 11176963584 11267324608 11409816992 11795480449 12108169728 12261295872 12360423264 12675740184 12836044116 13039790848 14012909568 14126198016 14669764704 14788363548 14902618112 16144226304 16217284608 16348394496 16480564352 16765445376 16900986912 17114725488 17253090806 18540634896 18683879424 18834930688 19559686272 19717818064 21189297024 21525635072 21797859328 22182545322 22353927168 22534649216 22819633984 23590960898 24216339456 24522591744 24720846528 25351480368 25672088232 25879636209 26079581696 28025819136 28252396032 29339529408 29576727096 29805236224 32288452608 32696788992 32961128704 33530890752 33801973824 34229450976 34506181612 35386441347 37081269792 37669861376 39119372544 39435636128 42378594048 43595718656 44365090644 44707854336 45069298432 45639267968 47181921796 48432678912 49045183488 49441693056 50702960736 51344176464 51759272418 52159163392 56051638272 56504792064 58679058816 59153454192 59610472448 64576905216 65393577984 65922257408 67061781504 67603947648 68458901952 69012363224 70772882694 74162539584 75339722752 77638908627 78238745088 78871272256 82568363143 84757188096 88730181288 89415708672 90138596864 91278535936 94363843592 96865357824 98090366976 98883386112 101405921472 102688352928 103518544836 104318326784 106159324041 113009584128 117358117632 118306908384 130787155968 131844514816 134123563008 135207895296 136917803904 138024726448 141545765388 148325079168 150679445504 155277817254 156477490176 157742544512 165136726286 169514376192 177460362576 178831417344 180277193728 182557071872 188727687184 193730715648 196180733952 197766772224 202811842944 205376705856 207037089672 208636653568 212318648082 226019168256 234716235264 236613816768 247705089429 263689029632 268247126016 270415790592 273835607808 276049452896 283091530776 296650158336 310555634508 312954980352 315485089024 330273452572 339028752384 354920725152 360554387456 365114143744 377455374368 392361467904 395533544448 405623685888 410753411712 414074179344 417273307136 424637296164 452038336512 469432470528 473227633536 495410178858 527378059264 536494252032 540831581184 547671215616 552098905792 566183061552 577978542001 593300316672 621111269016 625909960704 630970178048 660546905144 678057504768 709841450304 721108774912 730228287488 743115268287 754910748736 791067088896 811247371776 821506823424 828148358688 849274592328 938864941056 946455267072 990820357716 1054756118528 1081663162368 1095342431232 1104197811584 1132366123104 1155957084002 1186600633344 1242222538032 1251819921408 1261940356096 1321093810288 1356115009536 1419682900608 1442217549824 1460456574976 1486230536574 1509821497472 1582134177792 1622494743552 1643013646848 1656296717376 1698549184656 1733935626003 1877729882112 1892910534144 1981640715432 2163326324736 2190684862464 2208395623168 2264732246208 2311914168004 2373201266688 2484445076064 2523880712192 2642187620576 2839365801216 2920913149952 2972461073148 3019642994944 3164268355584 3244989487104 3286027293696 3312593434752 3397098369312 3467871252006 3755459764224 3785821068288 3963281430864 4326652649472 4381369724928 4416791246336 4529464492416 4623828336008 4746402533376 4968890152128 5047761424384 5201806878009 5284375241152 5678731602432 5944922146296 6039285989888 6489978974208 6572054587392 6625186869504 6794196738624 6935742504012 7571642136576 7926562861728 8762739449856 8833582492672 9058928984832 9247656672016 9492805066752 9937780304256 10095522848768 10403613756018 10568750482304 11357463204864 11889844292592 12078571979776 12979957948416 13144109174784 13250373739008 13588393477248 13871485008024 15143284273152 15853125723456 17667164985344 18117857969664 18495313344032 19875560608512 20807227512036 21137500964608 22714926409728 23779688585184 24157143959552 26288218349568 26500747478016 27176786954496 27742970016048 30286568546304 31706251446912 35334329970688 36235715939328 36990626688064 39751121217024 41614455024072 42275001929216 45429852819456 47559377170368 48314287919104 53001494956032 54353573908992 55485940032096 63412502893824 70668659941376 72471431878656 73981253376128 79502242434048 83228910048144 84550003858432 90859705638912 95118754340736 96628575838208 106002989912064 108707147817984 110971880064192 126825005787648 144942863757312 147962506752256 159004484868096 166457820096288 169100007716864 190237508681472 212005979824128 217414295635968 221943760128384 253650011575296 289885727514624 295925013504512 318008969736192 332915640192576 338200015433728 380475017362944 434828591271936 443887520256768 507300023150592 591850027009024 636017939472384 665831280385152 676400030867456 760950034725888 869657182543872 887775040513536 1014600046301184 1183700054018048 1331662560770304 1521900069451776 1775550081027072 2029200092602368 2367400108036096 2663325121540608 3043800138903552 3551100162054144 4734800216072192 5326650243081216 6087600277807104 7102200324108288 10653300486162432 14204400648216576 21306600972324864 42613201944649728
• Sum of all divisors σ(n): 145453674735096273
• Sum of proper divisors (its aliquot sum) s(n): 102840472790446545
• 42613201944649728 is an abundant number, because the sum of its proper divisors (102840472790446545) is greater than itself. Its abundance is 60227270845796817

Bases of 42613201944649728

• Binary: 10010111011001000111101100111100101001110010000000000000₂
• Hexadecimal: 0x97647B3CA72000
• Base-36: BNL4APXKOW0

Squares and roots of 42613201944649728

• 42613201944649728 squared (42613201944649728²) is 1815884979975499360081764610473984
• 42613201944649728 cubed (42613201944649728³) is 77380673359952181719676528946227582507058936676352
• The square root of 42613201944649728 is 206429653.7434719625
• The cube root of 42613201944649728 is 349286.1694602545

Scales and comparisons

• 42,613,201,944,649,728 seconds is equal to 1,354,968,010 years, 28 weeks, 4 days, 20 hours, 28 minutes, 48 seconds.
• To count from 1 to 42,613,201,944,649,728 would take you about four billion, sixty-four million, nine hundred four thousand and thirty-one 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 42613201944649728 cubic inches would be around 29107.2 feet tall.

Recreational maths with 42613201944649728

• 42613201944649728 backwards is 82794644910231624
• 42613201944649728 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 42613201944649728's digits is 72
• More coming soon!