42490585269460402142400
42,490,585,269,460,402,142,400 is an even composite number composed of six prime numbers multiplied together.
42490585269460402142400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 42490585269460402142400:
26 × 32 × 52 × 19 × 8112 × 4859232
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 19 × 811 × 811 × 485923 × 485923)See below for interesting mathematical facts about the number 42490585269460402142400 from the Numbermatics database.
Names of 42490585269460402142400
- Cardinal: 42490585269460402142400 can be written as Forty-two sextillion, four hundred ninety quintillion, five hundred eighty-five quadrillion, two hundred sixty-nine trillion, four hundred sixty billion, four hundred two million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.24905852694604021424 × 1022
Factors of 42490585269460402142400
Divisors of 42490585269460402142400
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 64 72 75 76 80 90 95 96 100 114 120 144 150 152 160 171 180 190 192 200 225 228 240 285 288 300 304 320 342 360 380 400 450 456 475 480 570 576 600 608 684 720 760 800 811 855 900 912 950 960 1140 1200 1216 1368 1425 1440 1520 1600 1622 1710 1800 1824 1900 2280 2400 2433 2736 2850 2880 3040 3244 3420 3600 3648 3800 4055 4275 4560 4800 4866 5472 5700 6080 6488 6840 7200 7299 7600 8110 8550 9120 9732 10944 11400 12165 12976 13680 14400 14598 15200 15409 16220 17100 18240 19464 20275 22800 24330 25952 27360 29196 30400 30818 32440 34200 36495 38928 40550 45600 46227 48660 51904 54720 58392 60825 61636 64880 68400 72990 77045 77856 81100 91200 92454 97320 116784 121650 123272 129760 136800 138681 145980 154090 155712 162200 182475 184908 194640 231135 233568 243300 246544 259520 273600 277362 291960 308180 324400 364950 369816 385225 389280 462270 467136 485923 486600 493088 554724 583920 616360 648800 657721 693405 729900 739632 770450 778560 924540 971846 973200 986176 1109448 1155675 1167840 1232720 1297600 1315442 1386810 1457769 1459800 1479264 1540900 1849080 1943692 1946400 1973163 2218896 2311350 2335680 2429615 2465440 2630884 2773620 2915538 2919600 2958528 3081800 3288605 3467025 3698160 3887384 3892800 3946326 4373307 4437792 4622700 4859230 4930880 5261768 5547240 5831076 5839200 5919489 6163600 6577210 6934050 7288845 7396320 7774768 7892652 8746614 8875584 9232537 9245400 9718460 9865815 10523536 11094480 11662152 11678400 11838978 12148075 12327200 12496699 13154420 13868100 14577690 14792640 15549536 15785304 16443025 17493228 18465074 18490800 19436920 19731630 21047072 21866535 22188960 23324304 23677956 24296150 24654400 24993398 26308840 27697611 27736200 29155380 29597445 31099072 31570608 32886050 34986456 36444225 36930148 36981600 37490097 38873840 39463260 42094144 43733070 44377920 46162685 46648608 47355912 48592300 49329075 49986796 52617680 55395222 55472400 58310760 59194890 62483495 63141216 65772100 69972912 72888450 73860296 73963200 74980194 77747680 78926520 83092833 87466140 92325370 93297216 94711824 97184600 98658150 99973592 105235360 109332675 110790444 110944800 112470291 116621520 118389780 124966990 126282432 131544200 138488055 139945824 145776900 147720592 147987225 149960388 155495360 157853040 166185666 174932280 184650740 187450485 189423648 194369200 197316300 199947184 210470720 218665350 221580888 221889600 224940582 230813425 233243040 236779560 249933980 263088400 276976110 279891648 291553800 295441184 295974450 299920776 312417475 315706080 332371332 349864560 369301480 374900970 378847296 388738400 394083553 394632600 399894368 415464165 437330700 443161776 449881164 461626850 466486080 473559120 499867960 526176800 553952220 562351455 583107600 590882368 591948900 599841552 624834950 631412160 664742664 692440275 699729120 738602960 749801940 777476800 788167106 789265200 799788736 830928330 874661400 886323552 899762328 923253700 937252425 947118240 999735920 1052353600 1107904440 1124702910 1166215200 1182250659 1183897800 1199683104 1249669900 1329485328 1384880550 1399458240 1477205920 1499603880 1576334212 1578530400 1661856660 1749322800 1772647104 1799524656 1846507400 1874504850 1894236480 1970417765 1999471840 2077320825 2215808880 2249405820 2332430400 2364501318 2367795600 2399366208 2499339800 2658970656 2769761100 2811757275 2954411840 2999207760 3152668424 3157060800 3323713320 3498645600 3546751977 3599049312 3693014800 3749009700 3940835530 3998943680 4154641650 4431617760 4498811640 4729002636 4735591200 4998679600 5317941312 5539522200 5623514550 5911253295 5998415520 6305336848 6647426640 6997291200 7093503954 7198098624 7386029600 7487587507 7498019400 7881671060 8309283300 8863235520 8997623280 9458005272 9471182400 9852088825 9997359200 11079044400 11247029100 11822506590 11996831040 12610673696 13294853280 14187007908 14772059200 14975175014 14996038800 15763342120 16618566600 17733759885 17995246560 18916010544 19704177650 19994718400 22158088800 22462762521 22494058200 23645013180 25221347392 26589706560 28374015816 29556266475 29950350028 29992077600 31526684240 33237133200 35467519770 35990493120 37437937535 37832021088 39408355300 44316177600 44925525042 44988116400 47290026360 56748031632 59112532950 59900700056 59984155200 63053368480 66474266400 67388287563 70935039540 74875875070 75664042176 78816710600 88668799425 89851050084 89976232800 94580052720 112313812605 113496063264 118225065900 119801400112 126106736960 132948532800 134776575126 141870079080 149751750140 157633421200 177337598850 179702100168 179952465600 187189687675 189160105440 224627625210 226992126528 236121161929 236450131800 239602800224 269553150252 283740158160 299503500280 315266842400 319601761483 336941437815 354675197700 359404200336 374379375350 378320210880 449255250420 472242323858 472900263600 479205600448 539106300504 561569063025 567480316320 599007000560 630533684800 639203522966 673882875630 708363485787 709350395400 718808400672 748758750700 898510500840 944484647716 945800527200 958805284449 1078212601008 1123138126050 1134960632640 1180605809645 1198014001120 1278407045932 1347765751260 1416726971574 1418700790800 1437616801344 1497517501400 1598008807415 1684707189075 1797021001680 1888969295432 1891601054400 1917610568898 2125090457361 2156425202016 2246276252100 2361211619290 2396028002240 2556814091864 2695531502520 2833453943148 2837401581600 2876415853347 2995035002800 3196017614830 3369414378150 3541817428935 3594042003360 3777938590864 3835221137796 4250180914722 4312850404032 4486302076651 4492552504200 4722423238580 4794026422245 5113628183728 5391063005040 5666907886296 5674803163200 5752831706694 5903029048225 5990070005600 6072433468177 6392035229660 6738828756300 7083634857870 7188084006720 7555877181728 7670442275592 7990044037075 8500361829444 8972604153302 8985105008400 9444846477160 9588052844490 10227256367456 10625452286805 10782126010080 11333815772592 11505663413388 11806058096450 11980140011200 12144866936354 12784070459320 13458906229953 13477657512600 14167269715740 14382079266735 15111754363456 15340884551184 15980088074150 17000723658888 17709087144675 17945208306604 17970210016800 18217300404531 18889692954320 19176105688980 20454512734912 21250904573610 21564252020160 22431510383255 22667631545184 23011326826776 23612116192900 23970132111225 24289733872708 25568140918640 26917812459906 26955315025200 28334539431480 28764158533470 30362167340885 30681769102368 31960176148300 34001447317776 35418174289350 35890416613208 35940420033600 36434600809062 37779385908640 38352211377960 40376718689859 42501809147220 44863020766510 45335263090368 46022653653552 47224232385800 47940264222450 48579467745416 51136281837280 53127261434025 53835624919812 53910630050400 54651901213593 56669078862960 57528317066940 60724334681770 61363538204736 63920352296600 67294531149765 68002894635552 70836348578700 71780833226416 71910396333675 72869201618124 75558771817280 76704422755920 80753437379718 85003618294440 89726041533020 91086502022655 92045307307104 94448464771600 95880528444900 97158935490832 102272563674560 106254522868050 107671249839624 107821260100800 109303802427186 112157551916275 113338157725920 115056634133880 121448669363540 127840704593200 134589062299530 136005789271104 141672697157400 143561666452832 143820792667350 145738403236248 151810836704425 153408845511840 161506874759436 170007236588880 179452083066040 182173004045310 184090614614208 188896929543200 191494262324419 191761056889800 194317870981664 201883593449295 212509045736100 215342499679248 218607604854372 224315103832550 226676315451840 230113268267760 242897338727080 255681409186400 269178124599060 273259506067965 283345394314800 287123332905664 287641585334700 291476806472496 303621673408850 306817691023680 323013749518872 336472655748825 340014473177760 358904166132080 364346008090620 377793859086400 382988524648838 383522113779600 388635741963328 403767186898590 425018091472200 430684999358496 437215209708744 448630207665100 455432510113275 460226536535520 485794677454160 511362818372800 538356249198120 546519012135930 566690788629600 574482786973257 575283170669400 582953612944992 607243346817700 646027499037744 672945311497650 680028946355520 717808332264160 728692016181240 765977049297676 767044227559200 807534373797180 850036182944400 861369998716992 874430419417488 897260415330200 910865020226550 920453073071040 957471311622095 971589354908320 1009417967246475 1076712498396240 1093038024271860 1133381577259200 1148965573946514 1150566341338800 1165907225889984 1214486693635400 1292054998075488 1345890622995300 1366297530339825 1435616664528320 1457384032362480 1531954098595352 1534088455118400 1615068747594360 1700072365888800 1723448360919771 1748860838834976 1794520830660400 1821730040453100 1914942623244190 1943178709816640 2018835934492950 2153424996792480 2186076048543720 2297931147893028 2301132682677600 2428973387270800 2584109996150976 2691781245990600 2732595060679650 2872413934866285 2914768064724960 3063908197190704 3230137495188720 3400144731777600 3446896721839542 3497721677669952 3589041661320800 3638390984163961 3643460080906200 3829885246488380 4037671868985900 4306849993584960 4372152097087440 4595862295786056 4602265365355200 4787356558110475 4857946774541600 5383562491981200 5465190121359300 5744827869732570 5829536129449920 6127816394381408 6460274990377440 6893793443679084 7178083322641600 7276781968327922 7286920161812400 7659770492976760 8075343737971800 8617241804598855 8744304194174880 9191724591572112 9574713116220950 9715893549083200 10767124983962400 10915172952491883 10930380242718600 11489655739465140 12255632788762816 12920549980754880 13787586887358168 14362069674331425 14553563936655844 14573840323624800 15319540985953520 16150687475943600 17234483609197710 17488608388349760 18191954920819805 18383449183144224 19149426232441900 21534249967924800 21830345904983766 21860760485437200 22979311478930280 27575173774716336 28724139348662850 29107127873311688 29147680647249600 30639081971907040 32301374951887200 32745518857475649 34468967218395420 36383909841639610 36766898366288448 38298852464883800 43086209022994275 43660691809967532 43721520970874400 45958622957860560 54575864762459415 55150347549432672 57448278697325700 58214255746623376 61278163943814080 64602749903774400 65491037714951298 68937934436790840 72767819683279220 76597704929767600 86172418045988550 87321383619935064 87443041941748800 90959774604099025 91917245915721120 109151729524918830 110300695098865344 114896557394651400 116428511493246752 130982075429902596 137875868873581680 145535639366558440 153195409859535200 155301846745103809 163727594287378245 172344836091977100 174642767239870128 181919549208198050 183834491831442240 218303459049837660 229793114789302800 232857022986493504 261964150859805192 272879323812297075 275751737747163360 291071278733116880 306390819719070400 310603693490207618 327455188574756490 344689672183954200 349285534479740256 363839098416396100 436606918099675320 459586229578605600 465905540235311427 523928301719610384 545758647624594150 551503475494326720 582142557466233760 621207386980415236 654910377149512980 689379344367908400 698571068959480512 727678196832792200 776509233725519045 818637971436891225 873213836199350640 919172459157211200 931811080470622854 1047856603439220768 1091517295249188300 1164285114932467520 1242414773960830472 1309820754299025960 1378758688735816800 1397716620705934281 1455356393665584400 1553018467451038090 1637275942873782450 1746427672398701280 1863622160941245708 2095713206878441536 2183034590498376600 2329527701176557135 2484829547921660944 2619641508598051920 2757517377471633600 2795433241411868562 2910712787331168800 2950735088156972371 3106036934902076180 3274551885747564900 3492855344797402560 3727244321882491416 3882546168627595225 4366069180996753200 4659055402353114270 4969659095843321888 5239283017196103840 5590866482823737124 5821425574662337600 5901470176313944742 6212073869804152360 6549103771495129800 6988583103529671405 7454488643764982832 7765092337255190450 8732138361993506400 8852205264470917113 9318110804706228540 9939318191686643776 10478566034392207680 11181732965647474248 11647638505882785675 11802940352627889484 12424147739608304720 13098207542990259600 13977166207059342810 14753675440784861855 14908977287529965664 15530184674510380900 17464276723987012800 17704410528941834226 18636221609412457080 22363465931294948496 23295277011765571350 23605880705255778968 24848295479216609440 26196415085980519200 26556615793412751339 27954332414118685620 29507350881569723710 29817954575059931328 31060369349020761800 34942915517648357025 35408821057883668452 37272443218824914160 44261026322354585565 44726931862589896992 46590554023531142700 47211761410511557936 49696590958433218880 52392830171961038400 53113231586825502678 55908664828237371240 59014701763139447420 62120738698041523600 69885831035296714050 70817642115767336904 73768377203924309275 74544886437649828320 88522052644709171130 89453863725179793984 93181108047062285400 94423522821023115872 106226463173651005356 111817329656474742480 118029403526278894840 124241477396083047200 132783078967063756695 139771662070593428100 141635284231534673808 147536754407848618550 149089772875299656640 177044105289418342260 186362216094124570800 188847045642046231744 212452926347302010712 221305131611772927825 223634659312949484960 236058807052557789680 248482954792166094400 265566157934127513390 279543324141186856200 283270568463069347616 295073508815697237100 354088210578836684520 372724432188249141600 424905852694604021424 442610263223545855650 447269318625898969920 472117614105115579360 531132315868255026780 559086648282373712400 566541136926138695232 590147017631394474200 663915394835318783475 708176421157673369040 745448864376498283200 849811705389208042848 885220526447091711300 944235228210231158720 1062264631736510053560 1118173296564747424800 1180294035262788948400 1327830789670637566950 1416352842315346738080 1699623410778416085696 1770441052894183422600 2124529263473020107120 2236346593129494849600 2360588070525577896800 2655661579341275133900 2832705684630693476160 3540882105788366845200 4249058526946040214240 4721176141051155793600 5311323158682550267800 7081764211576733690400 8498117053892080428480 10622646317365100535600 14163528423153467380800 21245292634730201071200 42490585269460402142400
- Sum of all divisors σ(n): 159166662975685840309380
- Sum of proper divisors (its aliquot sum) s(n): 116676077706225438166980
- 42490585269460402142400 is an abundant number, because the sum of its proper divisors (116676077706225438166980) is greater than itself. Its abundance is 74185492436765036024580
Bases of 42490585269460402142400
- Binary: 10001111111101101011010100111000000111001110000110001100111101111100110000002
- Hexadecimal: 0x8FF6B5381CE18CF7CC0
- Base-36: 6X3BJON8C57CTS0
Squares and roots of 42490585269460402142400
- 42490585269460402142400 squared (424905852694604021424002) is 1805449836541285315340566930743926509877760000
- 42490585269460402142400 cubed (424905852694604021424003) is 76714620229290828703075250510808883572375628237653315466113024000000
-
The
square root of 42490585269460402142400 is 206132445940.6146040175 -
The
cube root of 42490585269460402142400 is 34895083.1652802967
Scales and comparisons
How big is 42490585269460402142400?- 42,490,585,269,460,402,142,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,490,585,269,460,402,142,400 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 42490585269460402142400 cubic inches would be around 2907923.6 feet tall.
Recreational maths with 42490585269460402142400
- 42490585269460402142400 backwards is 00424120406496258509424
- The number of decimal digits it has is: 23
- The sum of 42490585269460402142400's digits is 81
- More coming soon!
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"Number 42490585269460402142400 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 42490585269460402142400 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/42490585269460402142400/
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The information we have on file for 42490585269460402142400 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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