42126230116144125
42,126,230,116,144,125 is an odd composite number composed of six prime numbers multiplied together.
42126230116144125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42126230116144125:
35 × 53 × 72 × 29 × 313 × 1812
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 29 × 31 × 31 × 31 × 181 × 181)See below for interesting mathematical facts about the number 42126230116144125 from the Numbermatics database.
Names of 42126230116144125
- Cardinal: 42126230116144125 can be written as Forty-two quadrillion, one hundred twenty-six trillion, two hundred thirty billion, one hundred sixteen million, one hundred forty-four thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.2126230116144125 × 1016
Factors of 42126230116144125
Divisors of 42126230116144125
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 29 31 35 45 49 63 75 81 87 93 105 125 135 145 147 155 175 181 189 203 217 225 243 245 261 279 315 375 405 435 441 465 525 543 567 609 651 675 725 735 775 783 837 875 899 905 945 961 1015 1085 1125 1215 1225 1267 1305 1323 1395 1421 1519 1575 1629 1701 1827 1953 2025 2175 2205 2325 2349 2511 2625 2697 2715 2835 2883 3045 3255 3375 3625 3675 3801 3875 3915 3969 4185 4263 4495 4525 4557 4725 4805 4887 5075 5249 5425 5481 5611 5859 6075 6125 6293 6335 6525 6615 6727 6975 7047 7105 7533 7595 7875 8091 8145 8505 8649 8869 9135 9765 10125 10875 11025 11403 11625 11745 11907 12555 12789 13485 13575 13671 14175 14415 14661 15225 15747 16275 16443 16833 17577 18375 18879 19005 19575 19845 20181 20925 21315 22475 22625 22785 23625 24025 24273 24435 25375 25947 26245 26607 27125 27405 27869 28055 29295 29791 30375 31465 31675 32625 32761 33075 33635 34209 34875 35235 35525 36743 37665 37975 38367 39277 40455 40725 41013 42525 43245 43983 44051 44345 45675 47089 47241 48825 49329 50499 52731 55125 56637 57015 58725 59535 60543 62775 63945 67425 67875 68355 70875 72075 72819 73305 76125 77841 78735 79821 81375 82215 83607 84165 87885 89373 94395 95025 97875 98283 99225 100905 102627 104625 106575 110229 112375 113925 115101 117831 120125 121365 122175 123039 129735 131225 132153 133035 137025 139345 140275 141267 141723 146475 148955 151497 157325 158375 162719 163805 165375 168175 169911 171045 173941 176175 177625 181629 183715 188325 189875 191835 195083 196385 202275 203625 205065 208537 212625 216225 218457 219915 220255 221725 228375 229327 233523 235445 236205 239463 244125 246645 250821 252495 257201 263655 268119 274939 283185 285075 293625 294849 297675 302715 307881 313875 319725 330687 337125 341775 345303 353493 360375 364095 366525 369117 389205 393675 396459 399105 411075 418035 420825 423801 425169 439425 446865 454491 471975 475125 488157 491415 496125 504525 509733 513135 521823 532875 544887 551145 569625 575505 585249 589155 606825 610875 615195 625611 648675 656125 660765 665175 685125 687981 696725 701375 706335 708615 718389 732375 744775 752463 757485 771603 786625 804357 813595 819025 824817 840875 849555 855225 863939 869705 880875 884547 908145 918575 941625 950069 959175 975415 981925 992061 1011375 1015591 1025325 1042685 1060479 1081125 1092285 1099575 1101275 1108625 1139033 1146635 1167615 1177225 1181025 1189377 1197315 1217587 1233225 1254105 1262475 1271403 1275507 1286005 1318275 1340595 1363473 1365581 1374695 1415925 1425375 1459759 1464471 1474245 1488375 1513575 1529199 1539405 1565469 1598625 1605289 1634661 1653435 1708875 1726515 1755747 1767465 1820475 1832625 1845585 1876833 1946025 1968375 1982295 1995525 2055375 2063943 2090175 2104125 2119005 2125845 2155167 2197125 2234325 2257389 2272455 2314809 2359875 2413071 2440785 2457075 2474451 2522625 2548665 2565675 2591817 2609115 2653641 2724435 2755725 2850207 2877525 2926245 2945775 2976183 3034125 3046773 3075975 3128055 3181437 3243375 3303825 3325875 3417099 3439905 3483625 3531675 3543075 3568131 3591945 3652761 3723875 3762315 3787425 3814209 3858015 4021785 4067975 4095125 4096743 4124085 4247775 4276125 4319695 4348525 4379277 4393413 4422735 4540725 4592875 4696407 4750345 4795875 4815867 4877075 4909625 4960305 5044289 5077955 5126625 5213425 5267241 5302395 5392171 5461425 5497875 5506375 5630499 5695165 5733175 5838075 5886125 5905125 5946885 5986575 6047573 6087935 6166125 6191829 6270525 6312375 6357015 6377535 6430025 6591375 6650483 6702975 6772167 6817365 6827905 6873475 6944427 7079625 7109137 7239213 7298795 7322355 7371225 7423353 7567875 7645995 7697025 7775451 7827345 7960923 7973231 8026445 8173305 8267175 8523109 8550621 8632575 8778735 8837325 8928549 9102375 9140319 9227925 9384165 9544311 9730125 9911475 9977625 10251297 10319715 10450875 10595025 10629225 10704393 10775835 10958283 11171625 11286945 11362275 11442627 11574045 12065355 12203925 12285375 12290229 12372255 12743325 12828375 12959085 13045575 13137831 13180239 13268205 13622175 13778625 14089221 14251035 14387625 14447601 14631225 14728875 14880915 15132867 15233865 15379875 15640275 15801723 15907185 16176513 16519125 16891497 17085495 17199525 17658375 17715375 17840655 17959725 18142719 18263805 18575487 18811575 18937125 19071045 19290075 19951449 20108925 20339875 20483715 20620425 20833281 21238875 21327411 21598475 21742625 21896385 21967065 22113675 22270059 22703625 23326353 23482035 23751725 23919693 24079335 24385375 24801525 25221445 25389775 25569327 25651863 26067125 26336205 26511975 26960855 27307125 27420957 28152495 28475825 28665875 29190375 29452139 29734425 29932875 30237865 30439675 30753891 30959145 31352625 31483321 31785075 31887675 32150125 32874849 33252415 33514875 33860835 34086825 34139525 34367375 34722135 35310023 35545685 36196065 36493975 36611775 36856125 36870687 37116765 37745197 38229975 38485125 38877255 39136725 39413493 39540717 39804615 39866155 40132225 40866525 41335875 42267663 42333011 42615545 42753105 43162875 43342803 43893675 44186625 44642745 45398601 45701595 46139625 46553381 46920825 47405169 47721555 48529539 49557375 49763959 50674491 51256485 51598575 52975125 53146125 53521965 53879175 54428157 54791415 55726461 56434725 56811375 57213135 57870225 59854347 60326775 61019625 61451145 61861275 62499843 63716625 63982233 64795425 65227875 65689155 65901195 66341025 66810177 68110875 69979059 70446105 71255175 71759079 72238005 73156125 74404575 75664335 76169325 76707981 76955589 78201375 79008615 79535925 80882565 82262871 84457485 85427475 85997625 88356417 89203275 89798625 90713595 91319025 92261673 92877435 94057875 94449963 95355225 96450375 98624547 99757245 100544625 102418575 103102125 104166405 105930069 106637055 107992375 109481925 109835325 110568375 110612061 111350295 113235591 116631765 117410175 118240479 118758625 119598465 120396675 124007625 126107225 126948875 126999033 127846635 128259315 130028409 131681025 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354721437 356275875 358795395 361190025 372022875 378321675 380846625 380997099 383539905 384777945 390085227 395043075 397679625 404412825 408587409 411314355 418980429 422287425 427137375 436765851 441782085 446016375 447875631 453567975 456595125 461308365 464387175 469118877 472249815 476776125 489853413 493122735 498786225 512092875 520832025 529650345 533185275 538689123 547409625 549176625 553060305 556751475 566177955 575840097 583158825 587050875 591202395 597992325 601983375 618494919 630536125 634995165 639233175 641296575 645831711 650142045 658405125 661149741 674021375 680979015 685523925 690371829 698300715 703812375 727943085 736303475 741510483 746459385 755946625 768847275 773978625 781864795 787083025 792649137 795207753 816422355 821871225 831310375 846520875 850049667 868053375 882750575 888642125 897815205 904901625 913016309 921767175 927919125 943629925 953370621 959733495 971931375 975982951 985337325 988517925 995115375 996653875 1019120319 1030824865 1049685885 1056691575 1058325275 1065388625 1068827625 1076386185 1083570075 1094610713 1101916235 1116068625 1134965025 1142539875 1142991297 1150619715 1154333835 1163834525 1185129225 1193038875 1213238475 1225762227 1233943065 1235850805 1244098975 1256941287 1266862275 1281412125 1310297553 1321081895 1325346255 1338049125 1343626893 1360703925 1369785375 1383925095 1393161525 1407356631 1416749445 1430328375 1443154811 1469560239 1479368205 1496358675 1536278625 1542682729 1562496075 1588951035 1599555825 1616067369 1642228875 1647529875 1659180915 1670254425 1698533865 1727520291 1749476475 1761152625 1773607185 1793976975 1805950125 1855484757 1891608375 1904985495 1917699525 1923889725 1937495133 1950426135 1975215375 1983449223 2022064125 2042937045 2056571775 2071115487 2094902145 2111437125 2183829255 2208910425 2224531449 2239378155 2267839875 2306541825 2321935875 2345594385 2361249075 2377947411 2385623259 2449267065 2465613675 2493931125 2550149001 2604160125 2648251725 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7215774055 7347801195 7396841025 7481793375 7650447003 7662274991 7713413645 7812480375 7944755175 7997779125 8080336845 8217146781 8295904575 8351272125 8492669325 8580335589 8637601455 8747382375 8783846559 8868035925 8969884875 9172082871 9277423785 9524927475 9588497625 9619448625 9687475665 9752130675 9851496417 9917246115 10214685225 10282858875 10286921673 10355577435 10474510725 10919146275 11044552125 11122657245 11196890775 11312471583 11532709125 11727971925 11806245375 11889737055 11928116295 12092642037 12246335325 12328068375 12666209679 12750745005 12988393299 13241258625 13467228075 13695244635 13826507625 13884144561 14154448875 14300559315 14396002425 14639744265 14780059875 15286804785 15462372975 15874879125 16145792775 16253551125 16419160695 16528743525 16699362813 17024475375 17144869455 17259295725 17457517875 17851043007 18198577125 18537762075 18661484625 18854119305 19173342489 19546619875 19816228425 19880193825 20020783041 20154403395 20410558875 20495641971 21110349465 21251241675 21401526699 21647322165 22445380125 22825407725 22986824973 23140240935 23834265525 23993337375 24399573775 24651440343 25478007975 25770621625 26242147125 26351539677 26909654625 27365267825 27547905875 27832271355 28303505579 28574782425 28765492875 28858345875 29554489251 29751738345 30644055675 30848576625 30896270125 31423532175 31955570815 32757438825 33027047375 33133656375 33367971735 33590672325 34159403285 34598127375 35183915775 35418736125 35669211165 35784348885 36078870275 36739005975 36984205125 37998629037 38252235015 38311374955 38567068225 38965179897 39723775875 40401684225 41085733905 41479522875 41652433683 42463346625 42901677945 43188007275 43919232795 44340179625 44737799141 45860414355 46387118925 47624637375 47823164599 48437378325 48760653375 49257482085 49586230575 50098088439 51073426125 51434608365 51777887175 52372553625 53553129021 54595731375 55613286225 55984453875 56562357915 57520027467 58639859625 59448685275 59640581475 60062349123 60463210185 61231676625 61486925913 63331048395 63753725025 64204580097 64941966495 67336140375 68476223175 68960474919 69420722805 71502796575 71980012125 73198721325 73954321029 76434023925 77311864875 79054619031 80728963875 82095803475 82643717625 83496814065 84910516737 85724347275 86296478625 88663467753 89255215035 92688810375 94270596525 95866712445 99081142125 99400969125 100103915205 100772016975 102478209855 105551747325 106256208375 107007633495 108236610825 114127038625 114934124865 115701204675 116895539691 119171327625 121997868875 123257201715 124957301049 127390039875 131757698385 134213397423 136826339125 139161356775 141517527895 142873912125 143469493797 147772446255 148758691725 153220278375 157117660875 159777854075 163787194125 166839858675 167953361625 170797016425 172560082401 175919578875 178346055825 178921744425 180394351375 183695029875 184460777739 189993145185 191261175075 191556874775 192835341125 194825899485 198124539053 202008421125 205428669525 206881424757 208262168415 214508389725 215940036375 219596163975 221862963087 223688995705 229302071775 231935594625 237163857093 239115822995 242186891625 246287410425 247931152875 250490442195 254731550211 257173041825 258889435875 265990403259 267765645105 278066431125 282811789575 287600137335 297243426375 298202907375 300311745615 302316050925 307434629565 316655241975 318768625125 321022900485 324709832475 342381115875 344802374595 347103614025 350686619073 357513982875 365993606625 369771605145 374871903147 382170119625 395273095155 402640192269 410479017375 417484070325 424552583685 428621736375 430408481391 443317338765 446276075175 471352982625 479333562225 500519576025 503860084875 512391049275 517680247203 527758736625 535038167475 541183054125 553382333217 574670624325 578506023375 584477698455 594373617159 616286008575 620644274271 624786505245 658788491925 671066987115 695806783875 707587639475 717347468985 738862231275 743793458625 764194650633 798889270375 834199293375 853985082125 862800412005 891730279125 894608722125 922303888695 949965725925 956305875375 957784373875 974129497425 990622695265 1027143347625 1034407123785 1041310842075 1072541948625 1097980819875 1109314815435 1118444978525 1146510358875 1185819285465 1195579114975 1207920576807 1231437052125 1252452210975 1273657751055 1285865209125 1291225444173 1329952016295 1338828225525 1386871773371 1414058947875 1438000686675 1501558728075 1511580254625 1537173147825 1553040741609 1583276209875 1605114502425 1623549162375 1660146999651 1724011872975 1735518070125 1753433095365 1783120851477 1848858025725 1861932822813 1874359515735 1976365475775 2013200961345 2087420351625 2122762918425 2152042406955 2216586693825 2231380375875 2292583951899 2396667811125 2502597880125 2561955246375 2588401236015 2675190837375 2766911666085 2873353121625 2922388492275 2971868085795 3081430042875 3103221371355 3123932526225 3293942459625 3355334935575 3537938197375 3586737344925 3623761730421 3694311156375 3820973253165 3873676332519 4160615320113 4314002060025 4611519443475 4749828629625 4870647487125 4953113476325 5172035618925 5206554210375 5349362554431 5546574077175 5592224892625 5929096427325 5977895574875 6039602884035 6262261054875 6368288755275 6456127220865 6649760081475 6694141127625 6877751855697 6934358866855 7190003433375 7507793640375 7685865739125 7765203708045 8025572512125 8300734998255 8620059364875 8767165476825 8915604257385 9244290128625 9309664114065 9371797578675 9881827378875 10066004806725 10613814592125 10760212034775 10871285191263 11082933469125 11462919759495 11621028997557 12481845960339 12942006180075 13834558330425 14611942461375 14859340428975 15516106856775 15619662631125 16048087663293 16776674677875 17933686724625 18118808652105 19104866265825 19368381662595 20803076600565 21570010300125 23057597217375 24765567381625 25860178094625 26746812772155 27732870385875 29645482136625 30198014420175 31841443776375 32280636104325 33248800407375 34388759278485 34671794334275 37445537881017 38826018540225 41503674991275 43835827384125 44578021286925 46548320570325 46858987893375 48144262989879 50330024033625 53801060173875 54356425956315 57314598797475 58105144987785 62409229801695 64710030900375 69172791652125 74296702144875 77580534283875 80240438316465 90594043260525 95524331329125 96841908312975 104015383002825 112336613643051 133734063860775 150990072100875 161403180521625 171943796392425 173358971671375 187227689405085 194130092701125 207518374956375 222890106434625 232741602851625 240721314949395 271782129781575 286572993987375 290525724938925 312046149008475 337009840929153 401202191582325 452970216302625 484209541564875 520076915014125 561683068215255 668670319303875 859718981962125 936138447025425 1203606574746975 1358910648907875 1452628624694625 1560230745042375 1685049204645765 2006010957911625 2808415341076275 4680692235127125 6018032873734875 8425246023228825 14042076705381375 42126230116144125
- Sum of all divisors σ(n): 98471440030279680
- Sum of proper divisors (its aliquot sum) s(n): 56345209914135555
- 42126230116144125 is an abundant number, because the sum of its proper divisors (56345209914135555) is greater than itself. Its abundance is 14218979797991430
Bases of 42126230116144125
- Binary: 100101011010100110010101010001011100110010010011111111012
- Hexadecimal: 0x95A99545CC93FD
- Base-36: BISI2Y84ET9
Squares and roots of 42126230116144125
- 42126230116144125 squared (421262301161441252) is 1774619263798328259286957772015625
- 42126230116144125 cubed (421262301161441253) is 74758019475310651468223031241874616686454251953125
-
The
square root of 42126230116144125 is 205246754.2158562979 -
The
cube root of 42126230116144125 is 347950.5536942095
Scales and comparisons
How big is 42126230116144125?- 42,126,230,116,144,125 seconds is equal to 1,339,483,812 years, 36 weeks, 5 days, 17 hours, 48 minutes, 45 seconds.
-
To count from 1 to 42,126,230,116,144,125 would take you about four billion, eighteen million, four hundred fifty-one thousand, four hundred thirty-eight 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 42126230116144125 cubic inches would be around 28995.9 feet tall.
Recreational maths with 42126230116144125
- 42126230116144125 backwards is 52144161103262124
- 42126230116144125 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42126230116144125's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 42126230116144125 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
APA style:
Numbermatics. (2024). Number 42126230116144125 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/42126230116144125/
Chicago style:
Numbermatics. 2024. "Number 42126230116144125 - Facts about the integer". https://numbermatics.com/n/42126230116144125/
The information we have on file for 42126230116144125 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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