42093840872012800
42,093,840,872,012,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 42093840872012800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1188 divisors.
42093840872012800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred eighty-eight divisors.
Prime factorization of 42093840872012800:
210 × 52 × 132 × 1372 × 151 × 3433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 137 × 137 × 151 × 3433)See below for interesting mathematical facts about the number 42093840872012800 from the Numbermatics database.
Names of 42093840872012800
- Cardinal: 42093840872012800 can be written as Forty-two quadrillion, ninety-three trillion, eight hundred forty billion, eight hundred seventy-two million, twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 4.20938408720128 × 1016
Factors of 42093840872012800
Divisors of 42093840872012800
- Number of divisors d(n): 1188
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 137 151 160 169 200 208 256 260 274 302 320 325 338 400 416 512 520 548 604 640 650 676 685 755 800 832 845 1024 1040 1096 1208 1280 1300 1352 1370 1510 1600 1664 1690 1781 1963 2080 2192 2416 2560 2600 2704 2740 3020 3200 3328 3380 3425 3433 3562 3775 3926 4160 4225 4384 4832 5120 5200 5408 5480 6040 6400 6656 6760 6850 6866 7124 7550 7852 8320 8450 8768 8905 9664 9815 10400 10816 10960 12080 12800 13312 13520 13700 13732 14248 15100 15704 16640 16900 17165 17536 17810 18769 19328 19630 20687 20800 21632 21920 23153 24160 25519 25600 27040 27400 27464 28496 30200 31408 33280 33800 34330 35072 35620 37538 38656 39260 41374 41600 43264 43840 44525 44629 46306 48320 49075 51038 54080 54800 54928 56992 60400 62816 66560 67600 68660 70144 71240 75076 77312 78520 82748 83200 85825 86528 87680 89050 89258 92612 93845 96640 98150 102076 103435 108160 109600 109856 113984 115765 120800 125632 127595 135200 137320 140288 142480 150152 154624 157040 165496 166400 171650 173056 175360 178100 178516 185224 187690 193280 196300 204152 206870 216320 219200 219712 223145 227968 231530 241600 243997 251264 255190 268931 270400 274640 284960 300304 314080 330992 332800 343300 350720 356200 357032 370448 375380 386560 392600 408304 413740 432640 438400 439424 446290 455936 463060 469225 470321 483200 487994 502528 510380 517175 518383 537862 540800 549280 569920 578825 580177 600608 628160 637975 661984 686600 701440 712400 714064 740896 750760 773120 785200 816608 827480 865280 876800 878848 892580 911872 926120 938450 940642 966400 975988 1005056 1020760 1034350 1036766 1075724 1081600 1098560 1115725 1139840 1157650 1160354 1201216 1219985 1256320 1275950 1323968 1344655 1373200 1424800 1428128 1481792 1501520 1570400 1633216 1654960 1753600 1757696 1785160 1823744 1852240 1876900 1881284 1932800 1951976 2010112 2041520 2068700 2073532 2151448 2163200 2197120 2231450 2279680 2315300 2320708 2351605 2402432 2439970 2512640 2551900 2591915 2647936 2689310 2746400 2834119 2849600 2856256 2900885 2963584 3003040 3140800 3171961 3266432 3309920 3496103 3507200 3515392 3570320 3704480 3753800 3762568 3865600 3903952 4083040 4137400 4147064 4302896 4326400 4394240 4462900 4559360 4630600 4641416 4703210 4804864 4879940 5025280 5103800 5183830 5295872 5378620 5492800 5668238 5699200 5712512 5801770 5927168 6006080 6099925 6114173 6281600 6343922 6532864 6619840 6723275 6738979 6992206 7140640 7408960 7507600 7525136 7807904 8166080 8274800 8294128 8605792 8788480 8925800 9118720 9261200 9282832 9406420 9609728 9759880 10050560 10207600 10367660 10591744 10757240 10985600 11336476 11398400 11425024 11603540 11758025 11854336 12012160 12199850 12228346 12563200 12687844 12959575 13065728 13239680 13446550 13477958 13984412 14170595 14281280 14504425 14817920 15015200 15050272 15615808 15859805 16332160 16549600 16588256 17211584 17480515 17576960 17851600 18522400 18565664 18812840 19219456 19519760 20415200 20735320 21183488 21514480 21971200 22672952 22796800 22850048 23207080 23516050 23708672 24024320 24399700 24456692 25126400 25375688 25919150 26131456 26479360 26893100 26955916 27968824 28341190 28562560 29008850 29635840 30030400 30100544 30570865 31231616 31719610 32664320 33099200 33176512 33694895 34423168 34961030 35703200 36843547 37044800 37131328 37625680 39039520 40830400 41470640 43028960 43942400 45345904 45593600 45700096 46414160 47032100 48048640 48799400 48913384 50252800 50751376 51838300 52958720 53786200 53911832 55937648 56682380 57125120 58017700 59271680 60060800 60201088 61141730 62463232 63439220 64433977 65328640 66198400 66353024 67389790 68846336 69922060 70852975 71018471 71406400 73687094 74089600 74262656 75251360 78079040 79299025 79484249 81660800 82941280 86057920 87402575 87606727 87884800 90691808 92828320 94064200 96097280 97598800 97826768 101502752 103676600 105917440 107572400 107823664 111875296 113364760 114250240 116035400 118543360 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2654120960 2695591600 2796882400 2803415264 2840738840 2902137856 2947483760 2970506240 3010054400 3123161600 3130456576 3179369960 3221698850 3248088064 3317651200 3350566804 3442316800 3450357248 3504269080 3550923550 3580009472 3627672320 3684354700 3692960492 3713132800 3831728888 3913070720 3974212450 4060110080 4123774528 4188208505 4312946560 4380336350 4475011840 4534590400 4545182144 4616200615 4715974016 4789661110 4891338400 5075137600 5086991936 5154718160 5391183200 5593764800 5606830528 5681477680 5894967520 6020108800 6246323200 6260913152 6358739920 6443397700 6635302400 6701133608 6884633600 6900714496 7008538160 7101847100 7255344640 7368709400 7385920984 7426265600 7663457776 7826141440 7948424900 8120220160 8247549056 8376417010 8625893120 8760672700 8950023680 9069180800 9090364288 9232401230 9431948032 9579322220 9729530527 9782676800 10150275200 10173983872 10309436320 10782366400 10889342113 11187529600 11213661056 11362955360 11789935040 11974152775 12002121599 12040217600 12717479840 12886795400 13270604800 13402267216 14017076320 14203694200 14510689280 14737418800 14771841968 14852531200 15326915552 15652282880 15896849800 16240440320 16495098112 16752834020 17251786240 17521345400 17900047360 18138361600 18180728576 18464802460 18863896064 19158644440 19459061054 19565353600 20300550400 20347967744 20618872640 20941042525 21564732800 21778684226 22375059200 22427322112 22725910720 23081003075 23579870080 23948305550 24004243198 25434959680 25773590800 26804534432 28034152640 28407388400 29474837600 29543683936 30653831104 31304565760 31793699600 32990196224 33505668040 34503572480 35042690800 36276723200 36361457152 36929604920 37727792128 38317288880 38918122108 39130707200 40601100800 40695935488 41237745280 41882085050 43129465600 43557368452 44750118400 44854644224 45451821440 46162006150 47159740160 47896611100 48008486396 48647652635 50869919360 51547181600 53609068864 54446710565 56068305280 56814776800 58949675200 59087367872 60010607995 61307662208 63587399200 65980392448 67011336080 70085381600 72553446400 72722914304 73859209840 76634577760 77836244216 78261414400 81202201600 81391870976 82475490560 83764170100 86258931200 87114736904 89500236800 89709288448 90903642880 92324012300 94319480320 95793222200 96016972792 97295305270 101739838720 103094363200 107218137728 108893421130 112136610560 113629553600 117899350400 118174735744 120021215990 122615324416 126483896851 127174798400 134022672160 140170763200 147718419680 153269155520 155672488432 156522828800 164950981120 167528340200 172517862400 174229473808 181807285760 184648024600 188638960640 191586444400 192033945584 194590610540 203479677440 206188726400 214436275456 217786842260 224273221120 227259107200 235798700800 236349471488 240042431980 243238263175 245230648832 252967793702 254349596800 268045344320 272233552825 280341526400 295436839360 300053039975 306538311040 311344976864 329901962240 335056680400 348458947616 363614571520 369296049200 383172888800 384067891168 389181221080 406959354880 412377452800 428872550912 435573684520 448546442240 454518214400 471597401600 472698942976 480084863960 486476526350 490461297664 505935587404 508699193600 536090688640 544467105650 560683052800 590873678720 600106079950 613076622080 622689953728 632419484255 670113360800 696917895232 738592098400 766345777600 768135782336 778362442160 824754905600 857745101824 871147369040 909036428800 943194803200 945397885952 960169727920 972953052700 1011871174808 1017398387200 1072181377280 1088934211300 1121366105600 1181747357440 1200212159900 1226153244160 1245379907456 1264838968510 1340226721600 1393835790464 1477184196800 1532691555200 1536271564672 1556724884320 1644290659063 1649509811200 1742294738080 1818072857600 1920339455840 1945906105400 2023742349616 2034796774400 2144362754560 2177868422600 2242732211200 2363494714880 2400424319800 2452306488320 2490759814912 2529677937020 2680453443200 2787671580928 2954368393600 3065383110400 3072543129344 3113449768640 3162097421275 3288581318126 3484589476160 3840678911680 3891812210800 4047484699232 4288725509120 4355736845200 4726989429760 4800848639600 4981519629824 5059355874040 5360906886400 5575343161856 5908736787200 6130766220800 6145086258688 6226899537280 6324194842550 6577162636252 6969178952320 7681357823360 7783624421600 8094969398464 8221453295315 8711473690400 9601697279200 9963039259648 10118711748080 10721813772800 11150686323712 11817473574400 12261532441600 12290172517376 12453799074560 12648389685100 13154325272504 13938357904640 15362715646720 15567248843200 16189938796928 16442906590630 17422947380800 19203394558400 20237423496160 21443627545600 23634947148800 24907598149120 25296779370200 26308650545008 27876715809280 30725431293440 31134497686400 32379877593856 32885813181260 34845894761600 38406789116800 40474846992320 41107266476575 49815196298240 50593558740400 52617301090016 55753431618560 61450862586880 62268995372800 64759755187712 65771626362520 69691789523200 76813578233600 80949693984640 82214532953150 101187117480800 105234602180032 124537990745600 129519510375424 131543252725040 139383579046400 153627156467200 161899387969280 164429065906300 202374234961600 210469204360064 249075981491200 263086505450080 278767158092800 307254312934400 323798775938560 328858131812600 404748469923200 420938408720128 526173010900160 647597551877120 657716263625200 809496939846400 841876817440256 1052346021800320 1315432527250400 1618993879692800 1683753634880512 2104692043600640 2630865054500800 3237987759385600 4209384087201280 5261730109001600 8418768174402560 10523460218003200 21046920436006400 42093840872012800
- Sum of all divisors σ(n): 114603301553015856
- Sum of proper divisors (its aliquot sum) s(n): 72509460681003056
- 42093840872012800 is an abundant number, because the sum of its proper divisors (72509460681003056) is greater than itself. Its abundance is 30415619808990256
Bases of 42093840872012800
- Binary: 100101011000110000100000000100000110100001111100000000002
- Hexadecimal: 0x958C2010687C00
- Base-36: BIH0RJCFK74
Squares and roots of 42093840872012800
- 42093840872012800 squared (420938408720128002) is 1771891439358335322710323363840000
- 42093840872012800 cubed (420938408720128003) is 74585716290831485071408906121275411007537152000000
-
The
square root of 42093840872012800 is 205167835.8613084363 -
The
cube root of 42093840872012800 is 347861.3555473343
Scales and comparisons
How big is 42093840872012800?- 42,093,840,872,012,800 seconds is equal to 1,338,453,934 years, 48 weeks, 2 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 42,093,840,872,012,800 would take you about four billion, fifteen million, three hundred sixty-one thousand, eight hundred four 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 42093840872012800 cubic inches would be around 28988.4 feet tall.
Recreational maths with 42093840872012800
- 42093840872012800 backwards is 00821027804839024
- The number of decimal digits it has is: 17
- The sum of 42093840872012800's digits is 58
- More coming soon!
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"Number 42093840872012800 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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The information we have on file for 42093840872012800 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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