420042924798648320
420,042,924,798,648,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 420042924798648320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
420042924798648320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 420042924798648320:
213 × 5 × 13 × 172 × 401 × 26092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 17 × 17 × 401 × 2609 × 2609)See below for interesting mathematical facts about the number 420042924798648320 from the Numbermatics database.
Names of 420042924798648320
- Cardinal: 420042924798648320 can be written as Four hundred twenty quadrillion, forty-two trillion, nine hundred twenty-four billion, seven hundred ninety-eight million, six hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.2004292479864832 × 1017
Factors of 420042924798648320
Divisors of 420042924798648320
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 128 130 136 160 170 208 221 256 260 272 289 320 340 401 416 442 512 520 544 578 640 680 802 832 884 1024 1040 1088 1105 1156 1280 1360 1445 1604 1664 1768 2005 2048 2080 2176 2210 2312 2560 2609 2720 2890 3208 3328 3536 3757 4010 4096 4160 4352 4420 4624 5120 5213 5218 5440 5780 6416 6656 6817 7072 7514 8020 8192 8320 8704 8840 9248 10240 10426 10436 10880 11560 12832 13045 13312 13634 14144 15028 16040 16640 17408 17680 18496 18785 20480 20852 20872 21760 23120 25664 26065 26090 26624 27268 28288 30056 32080 33280 33917 34085 34816 35360 36992 37570 40960 41704 41744 43520 44353 46240 51328 52130 52180 53248 54536 56576 60112 64160 66560 67834 68170 69632 70720 73984 75140 83408 83488 87040 88621 88706 92480 102656 104260 104360 106496 109072 113152 115889 120224 128320 133120 135668 136340 139264 141440 147968 150280 166816 166976 169585 174080 177242 177412 184960 205312 208520 208720 218144 221765 226304 231778 240448 256640 266240 271336 272680 282880 295936 300560 333632 333952 339170 348160 354484 354824 369920 410624 417040 417440 436288 443105 443530 452608 463556 480896 513280 532480 542672 545360 565760 576589 579445 591872 601120 667264 667904 678340 696320 708968 709648 739840 754001 821248 834080 834880 872576 886210 887060 905216 927112 961792 1026560 1046209 1085344 1090720 1131520 1153178 1158890 1183744 1202240 1334528 1335808 1356680 1417936 1419296 1479680 1506557 1508002 1642496 1668160 1669760 1745152 1772420 1774120 1810432 1854224 1923584 2053120 2092418 2170688 2181440 2263040 2306356 2317780 2367488 2404480 2669056 2671616 2713360 2835872 2838592 2882945 2959360 3013114 3016004 3284992 3336320 3339520 3490304 3544840 3548240 3708448 3770005 3847168 4106240 4184836 4341376 4362880 4526080 4612712 4635560 4808960 5231045 5338112 5343232 5426720 5671744 5677184 5765890 5918720 6026228 6032008 6672640 6679040 6806881 6980608 7089680 7096480 7416896 7532785 7540010 7694336 8212480 8369672 8682752 8725760 9052160 9225424 9271120 9617920 9802013 10462090 10676224 10686464 10853440 11343488 11354368 11531780 11837440 12052456 12064016 13345280 13358080 13600717 13613762 13961216 14179360 14192960 14833792 15065570 15080020 15388672 16424960 16739344 17365504 17451520 17785553 18450848 18542240 19235840 19604026 20924180 21352448 21372928 21706880 22686976 22708736 23063560 24104912 24128032 26690560 26716160 27201434 27227524 27922432 28358720 28385920 29667584 30131140 30160040 30777344 33478688 34034405 34731008 34903040 35571106 36901696 37084480 38471680 39208052 41848360 42704896 43413760 45373952 45417472 46127120 48209824 48256064 49010065 53381120 53432320 54402868 54455048 55844864 56717440 56771840 59335168 60262280 60320080 66957376 68003585 68068810 69462016 69806080 71142212 73803392 74168960 76943360 78416104 83696720 86827520 88489453 88927765 90747904 90834944 92254240 96419648 96512128 98020130 106762240 106864640 108805736 108910096 113434880 113543680 115716977 118670336 120524560 120640160 133914752 136007170 136137620 138924032 139612160 142284424 147606784 148337920 153886720 156832208 167393440 173655040 176978906 177855530 181495808 181669888 184508480 192839296 193024256 196040260 213524480 217611472 217820192 226869760 227087360 231212189 231433954 237340672 241049120 241280320 267829504 272014340 272275240 277848064 279224320 284568848 295213568 296675840 302354401 313664416 334786880 347310080 353957812 355711060 362991616 363339776 369016960 385678592 386048512 392080520 435222944 435640384 442447265 453739520 454174720 462424378 462867908 474681344 482098240 482560640 535659008 544028680 544550480 569137696 578584885 590427136 593351680 604708802 627328832 669573760 694620160 707915624 711422120 725983232 738033920 771357184 772097024 784161040 870445888 871280768 884894530 907479040 908349440 924848756 925735816 949362688 964196480 965121280 1071318016 1088057360 1089100960 1138275392 1156060945 1157169770 1180854272 1186703360 1209417604 1254657664 1339147520 1389240320 1415831248 1422844240 1476067840 1504320701 1511772005 1542714368 1544194048 1568322080 1740891776 1742561536 1769789060 1814958080 1816698880 1849697512 1851471632 1928392960 1930242560 1967188609 2142636032 2176114720 2178201920 2276550784 2312121890 2314339540 2361708544 2373406720 2418835208 2509315328 2678295040 2729559281 2831662496 2845688480 2952135680 3008641402 3023544010 3085428736 3088388096 3136644160 3481783552 3485123072 3539578120 3629916160 3699395024 3702943264 3856785920 3860485120 3930607213 3934377218 4285272064 4352229440 4356403840 4553101568 4624243780 4628679080 4723417088 4746813440 4837670416 5018630656 5356590080 5459118562 5663324992 5691376960 5904271360 6017282804 6047088020 6170857472 6176776192 6273288320 6963567104 6970246144 7079156240 7398790048 7405886528 7521603505 7713571840 7720970240 7861214426 7868754436 8570544128 8704458880 8712807680 9106203136 9248487560 9257358160 9675340832 9835943045 10037261312 10713180160 10918237124 11326649984 11382753920 11808542720 12034565608 12094176040 12341714944 12546576640 13647796405 13927134208 13940492288 14158312480 14797580096 14811773056 15043207010 15427143680 15441940480 15722428852 15737508872 17408917760 17425615360 18212406272 18496975120 18514716320 19350681664 19653036065 19671886090 20074522624 21426360320 21836474248 22653299968 22765507840 23617085440 24069131216 24188352080 25093153280 25573451917 27295592810 27854268416 27880984576 28316624960 29595160192 29623546112 30086414020 30854287360 30883880960 31444857704 31475017744 34817835520 34851230720 35484270653 36424812544 36993950240 37029432640 38701363328 39306072130 39343772180 40149045248 42852720640 43672948496 45306599936 45531015680 46402507777 48138262432 48376704160 50186306560 51146903834 54591185620 55708536832 55761969152 56633249920 59190320384 59247092224 60172828040 61708574720 62889715408 62950035488 69635671040 69702461440 70968541306 72849625088 73987900480 74058865280 77402726656 78612144260 78687544360 80298090496 87345896992 90613199872 91062031360 92805015554 96276524864 96753408320 100372613120 102293807668 109182371240 111417073664 113266499840 118380640768 118494184448 120345656080 125779430816 125900070976 127867259585 139271342080 139404922880 141937082612 145699250176 147975800960 148117730560 154805453312 157224288520 157375088720 174691793984 177421353265 181226399744 182124062720 185610031108 192553049728 193506816640 200745226240 204587615336 218364742480 226532999680 232012538885 236761281536 236988368896 240691312160 251558861632 251800141952 255734519170 278542684160 278809845760 283874165224 295951601920 296235461120 309610906624 314448577040 314750177440 349383587968 354842706530 362452799488 364248125440 371220062216 385106099456 387013633280 401490452480 409175230672 436729484960 453065999360 464025077770 473522563072 473976737792 481382624320 503117723264 503600283904 511469038340 557085368320 567748330448 591903203840 592470922240 603232601101 619221813248 628897154080 629500354880 698767175936 709685413060 724905598976 728496250880 742440124432 770212198912 774027266560 788842632209 818350461344 873458969920 906131998720 928050155540 947045126144 947953475584 962765248640 1006235446528 1007200567808 1022938076680 1135496660896 1183806407680 1184941844480 1206465202202 1238443626496 1257794308160 1259000709760 1397534351872 1419370826120 1484880248864 1540424397824 1548054533120 1577685264418 1636700922688 1746917939840 1812263997440 1856100311080 1894090252288 1925530497280 2012470893056 2014401135616 2045876153360 2270993321792 2367612815360 2369883688960 2412930404404 2476887252992 2515588616320 2518001419520 2795068703744 2838741652240 2969760497728 3016163005505 3080848795648 3096109066240 3155370528836 3273401845376 3493835879680 3624527994880 3712200622160 3851060994560 3944213161045 4024941786112 4028802271232 4091752306720 4541986643584 4735225630720 4739767377920 4825860808808 5031177232640 5036002839040 5590137407488 5677483304480 5939520995456 6032326011010 6161697591296 6192218132480 6310741057672 6546803690752 6987671759360 7424401244320 7702121989120 7888426322090 8049883572224 8057604542464 8183504613440 9083973287168 9470451261440 9651721617616 10062354465280 10072005678080 10254954218717 11180274814976 11354966608960 11879041990912 12064652022020 12323395182592 12384436264960 12621482115344 13093607381504 13975343518720 14848802488640 15404243978240 15776852644180 16099767144448 16115209084928 16367009226880 18167946574336 19303443235232 20124708930560 20144011356160 20509908437434 22360549629952 22709933217920 23758083981824 24129304044040 25242964230688 26187214763008 27950687037440 29697604977280 30808487956480 31553705288360 32199534288896 32734018453760 36335893148672 38606886470464 40249417861120 40288022712320 41019816874868 45419866435840 47516167963648 48258608088080 50485928461376 51274771093585 52374429526016 55901374074880 59395209954560 61616975912960 63107410576720 65468036907520 72671786297344 77213772940928 80498835722240 80576045424640 82039633749736 90839732871680 95032335927296 96517216176160 100971856922752 102549542187170 104748859052032 111802748149760 118790419909120 126214821153440 130936073815040 145343572594688 154427545881856 160997671444480 164079267499472 181679465743360 190064671854592 193034432352320 201943713845504 205099084374340 209497718104064 237580839818240 252429642306880 261872147630080 290687145189376 308855091763712 328158534998944 363358931486720 380129343709184 386068864704640 403887427691008 410198168748680 475161679636480 504859284613760 523744295260160 617710183527424 656317069997888 726717862973440 772137729409280 807774855382016 820396337497360 950323359272960 1009718569227520 1047488590520320 1235420367054848 1312634139995776 1453435725946880 1544275458818560 1615549710764032 1640792674994720 1900646718545920 2019437138455040 2470840734109696 2625268279991552 3088550917637120 3231099421528064 3281585349989440 4038874276910080 4941681468219392 5250536559983104 6177101835274240 6462198843056128 6563170699978880 8077748553820160 10501073119966208 12354203670548480 13126341399957760 16155497107640320 21002146239932416 24708407341096960 26252682799915520 32310994215280640 42004292479864832 52505365599831040 84008584959729664 105010731199662080 210021462399324160 420042924798648320
- Sum of all divisors σ(n): 1156516401130855128
- Sum of proper divisors (its aliquot sum) s(n): 736473476332206808
- 420042924798648320 is an abundant number, because the sum of its proper divisors (736473476332206808) is greater than itself. Its abundance is 316430551533558488
Bases of 420042924798648320
- Binary: 101110101000100101011010000100010110000101000100000000000002
- Hexadecimal: 0x5D44AD08B0A2000
- Base-36: 36VWSFQM6LFK
Squares and roots of 420042924798648320
- 420042924798648320 squared (4200429247986483202) is 176436058673402927798814499038822400
- 420042924798648320 cubed (4200429247986483203) is 74110718125122088669709602879466648061694724538368000
-
The
square root of 420042924798648320 is 648107186.1958084477 -
The
cube root of 420042924798648320 is 748912.7504193689
Scales and comparisons
How big is 420042924798648320?- 420,042,924,798,648,320 seconds is equal to 13,356,065,730 years, 27 weeks, 1 day, 6 hours, 45 minutes, 20 seconds.
-
To count from 1 to 420,042,924,798,648,320 would take you about forty billion, sixty-eight million, one hundred ninety-seven thousand, one hundred ninety-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 420042924798648320 cubic inches would be around 62409.4 feet tall.
Recreational maths with 420042924798648320
- 420042924798648320 backwards is 023846897429240024
- The number of decimal digits it has is: 18
- The sum of 420042924798648320's digits is 74
- More coming soon!
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"Number 420042924798648320 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 420042924798648320 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/420042924798648320/
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The information we have on file for 420042924798648320 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 420042924798648320, math, Factors of 420042924798648320, curriculum, school, college, exams, university, Prime factorization of 420042924798648320, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty quadrillion, forty-two trillion, nine hundred twenty-four billion, seven hundred ninety-eight million, six hundred forty-eight thousand, three hundred twenty.