3421933998620462838656000
3,421,933,998,620,462,838,656,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 3421933998620462838656000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 704 divisors.
3421933998620462838656000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 3421933998620462838656000:
210 × 53 × 11 × 13 × 4441 × 42096389435729
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 4441 × 42096389435729)See below for interesting mathematical facts about the number 3421933998620462838656000 from the Numbermatics database.
Names of 3421933998620462838656000
- Cardinal: 3421933998620462838656000 can be written as Three septillion, four hundred twenty-one sextillion, nine hundred thirty-three quintillion, nine hundred ninety-eight quadrillion, six hundred twenty trillion, four hundred sixty-two billion, eight hundred thirty-eight million, six hundred fifty-six thousand.
Scientific notation
- Scientific notation: 3.421933998620462838656 × 1024
Factors of 3421933998620462838656000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 42096389440201
Divisors of 3421933998620462838656000
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 125 128 130 143 160 176 200 208 220 250 256 260 275 286 320 325 352 400 416 440 500 512 520 550 572 640 650 704 715 800 832 880 1000 1024 1040 1100 1144 1280 1300 1375 1408 1430 1600 1625 1664 1760 2000 2080 2200 2288 2560 2600 2750 2816 2860 3200 3250 3328 3520 3575 4000 4160 4400 4441 4576 5120 5200 5500 5632 5720 6400 6500 6656 7040 7150 8000 8320 8800 8882 9152 10400 11000 11264 11440 12800 13000 13312 14080 14300 16000 16640 17600 17764 17875 18304 20800 22000 22205 22880 25600 26000 28160 28600 32000 33280 35200 35528 35750 36608 41600 44000 44410 45760 48851 52000 56320 57200 57733 64000 66560 70400 71056 71500 73216 83200 88000 88820 91520 97702 104000 111025 114400 115466 128000 140800 142112 143000 146432 166400 176000 177640 183040 195404 208000 222050 228800 230932 244255 281600 284224 286000 288665 332800 352000 355280 366080 390808 416000 444100 457600 461864 488510 555125 568448 572000 577330 635063 704000 710560 732160 781616 832000 888200 915200 923728 977020 1110250 1136896 1144000 1154660 1221275 1270126 1408000 1421120 1443325 1563232 1664000 1776400 1830400 1847456 1954040 2220500 2273792 2288000 2309320 2442550 2540252 2842240 2886650 3126464 3175315 3552800 3660800 3694912 3908080 4441000 4547584 4576000 4618640 4885100 5080504 5684480 5773300 6106375 6252928 6350630 7105600 7216625 7389824 7816160 8882000 9152000 9237280 9770200 10161008 11368960 11546600 12212750 12505856 12701260 14211200 14433250 14779648 15632320 15876575 17764000 18304000 18474560 19540400 20322016 22737920 23093200 24425500 25011712 25402520 28422400 28866500 29559296 31264640 31753150 35528000 36949120 39080800 40644032 46186400 48851000 50023424 50805040 56844800 57733000 59118592 62529280 63506300 71056000 73898240 78161600 79382875 81288064 92372800 97702000 101610080 113689600 115466000 125058560 127012600 142112000 147796480 156323200 158765750 162576128 184745600 195404000 203220160 230932000 250117120 254025200 284224000 295592960 312646400 317531500 325152256 369491200 390808000 406440320 461864000 508050400 568448000 625292800 635063000 650304512 738982400 781616000 812880640 923728000 1016100800 1250585600 1270126000 1477964800 1563232000 1625761280 1847456000 2032201600 2540252000 3126464000 3251522560 3694912000 4064403200 5080504000 6252928000 7389824000 8128806400 10161008000 16257612800 20322016000 40644032000 81288064000 42096389435729 84192778871458 168385557742916 210481947178645 336771115485832 420963894357290 463060283793019 547253062664477 673542230971664 841927788714580 926120567586038 1052409735893225 1094506125328954 1347084461943328 1683855577429160 1852241135172076 2104819471786450 2189012250657908 2315301418965095 2694168923886656 2736265313322385 3367711154858320 3704482270344152 4209638943572900 4378024501315816 4630602837930190 5262048679466125 5388337847773312 5472530626644770 6019783689309247 6735422309716640 7408964540688304 8419277887145800 8756049002631632 9261205675860380 10524097358932250 10776675695546624 10945061253289540 11576507094825475 12039567378618494 13470844619433280 13681326566611925 14817929081376608 16838555774291600 17512098005263264 18522411351720760 21048194717864500 21553351391093248 21890122506579080 23153014189650950 24079134757236988 26941689238866560 27362653133223850 29635858162753216 30098918446546235 33677111548583200 35024196010526528 37044822703441520 42096389435729000 43106702782186496 43780245013158160 46306028379301900 48158269514473976 53883378477733120 54725306266447700 57882535474127375 59271716325506432 60197836893092470 67354223097166400 68406632833059625 70048392021053056 74089645406883040 84192778871458000 87560490026316320 92612056758603800 96316539028947952 107766756955466240 109450612532895400 115765070948254750 118543432651012864 120395673786184940 134708446194332800 136813265666119250 140096784042106112 148179290813766080 150494592232731175 168385557742916000 175120980052632640 185224113517207600 186950065484072489 192633078057895904 215533513910932480 218901225065790800 231530141896509500 237086865302025728 240791347572369880 269416892388665600 273626531332238500 280193568084212224 296358581627532160 300989184465462350 336771115485832000 350241960105265280 370448227034415200 373900130968144978 385266156115791808 437802450131581600 463060283793019000 474173730604051456 481582695144739760 538833784777331200 547253062664477000 560387136168424448 592717163255064320 601978368930924700 673542230971664000 700483920210530560 740896454068830400 747800261936289956 752472961163655875 770532312231583616 875604900263163200 926120567586038000 934750327420362445 963165390289479520 1077667569554662400 1094506125328954000 1185434326510128640 1203956737861849400 1347084461943328000 1400967840421061120 1481792908137660800 1495600523872579912 1504945922327311750 1541064624463167232 1751209800526326400 1852241135172076000 1869500654840724890 1926330780578959040 2056450720324797379 2189012250657908000 2370868653020257280 2407913475723698800 2430350851292942357 2694168923886656000 2801935680842122240 2963585816275321600 2991201047745159824 3009891844654623500 3082129248926334464 3502419601052652800 3704482270344152000 3739001309681449780 3852661561157918080 4112901440649594758 4378024501315816000 4673751637101812225 4815826951447397600 4860701702585884714 5388337847773312000 5927171632550643200 5982402095490319648 6019783689309247000 6164258497852668928 7004839202105305600 7408964540688304000 7478002619362899560 7705323122315836160 8225802881299189516 8756049002631632000 9347503274203624450 9631653902894795200 9721403405171769428 10282253601623986895 11854343265101286400 11964804190980639296 12039567378618494000 12151754256464711785 14009678404210611200 14817929081376608000 14956005238725799120 15410646244631672320 16451605762598379032 17512098005263264000 18695006548407248900 19263307805789590400 19442806810343538856 20564507203247973790 23368758185509061125 23929608381961278592 24079134757236988000 24303508512929423570 26733859364222365927 29635858162753216000 29912010477451598240 30821292489263344640 32903211525196758064 35024196010526528000 37390013096814497800 38526615611579180800 38885613620687077712 41129014406495947580 46737516371018122250 47859216763922557184 48158269514473976000 48607017025858847140 51411268008119934475 53467718728444731854 59271716325506432000 59824020954903196480 60758771282323558925 65806423050393516128 70048392021053056000 74780026193628995600 77053231223158361600 77771227241374155424 82258028812991895160 93475032742036244500 95718433527845114368 96316539028947952000 97214034051717694280 102822536016239868950 106935437456889463708 119648041909806392960 121517542564647117850 131612846100787032256 133669296821111829635 149560052387257991200 154106462446316723200 155542454482748310848 164516057625983790320 186950065484072489000 191436867055690228736 192633078057895904000 194428068103435388560 205645072032479737900 213870874913778927416 239296083819612785920 243035085129294235700 257056340040599672375 263225692201574064512 267338593642223659270 299120104774515982400 303793856411617794625 311084908965496621696 329032115251967580640 373900130968144978000 385266156115791808000 388856136206870777120 411290144064959475800 427741749827557854832 478592167639225571840 486070170258588471400 514112680081199344750 526451384403148129024 534677187284447318540 598240209549031964800 607587712823235589250 622169817930993243392 658064230503935161280 668346484105559148175 747800261936289956000 770532312231583616000 777712272413741554240 822580288129918951600 855483499655115709664 957184335278451143680 972140340517176942800 1028225360162398689500 1052902768806296258048 1069354374568894637080 1196480419098063929600 1215175425646471178500 1244339635861986486784 1316128461007870322560 1336692968211118296350 1495600523872579912000 1555424544827483108480 1645160576259837903200 1710966999310231419328 1944280681034353885600 2056450720324797379000 2105805537612592516096 2138708749137789274160 2392960838196127859200 2430350851292942357000 2488679271723972973568 2632256922015740645120 2673385936422236592700 2991201047745159824000 3110849089654966216960 3290321152519675806400 3341732420527795740875 3421933998620462838656 3888561362068707771200 4112901440649594758000 4277417498275578548320 4785921676392255718400 4860701702585884714000 5264513844031481290240 5346771872844473185400 5982402095490319648000 6221698179309932433920 6580642305039351612800 6683464841055591481750 6843867997240925677312 7777122724137415542400 8225802881299189516000 8554834996551157096640 9721403405171769428000 10529027688062962580480 10693543745688946370800 11964804190980639296000 12443396358619864867840 13161284610078703225600 13366929682111182963500 13687735994481851354624 15554245448274831084800 16451605762598379032000 17109669993102314193280 19442806810343538856000 21387087491377892741600 23929608381961278592000 26322569220157406451200 26733859364222365927000 27375471988963702709248 31108490896549662169600 32903211525196758064000 34219339986204628386560 38885613620687077712000 42774174982755785483200 52645138440314812902400 53467718728444731854000 62216981793099324339200 65806423050393516128000 68438679972409256773120 77771227241374155424000 85548349965511570966400 106935437456889463708000 131612846100787032256000 136877359944818513546240 155542454482748310848000 171096699931023141932800 213870874913778927416000 263225692201574064512000 311084908965496621696000 342193399862046283865600 427741749827557854832000 684386799724092567731200 855483499655115709664000 1710966999310231419328000 3421933998620462838656000
- Sum of all divisors σ(n): 10031713613945947516844160
- Sum of proper divisors (its aliquot sum) s(n): 6609779615325484678188160
- 3421933998620462838656000 is an abundant number, because the sum of its proper divisors (6609779615325484678188160) is greater than itself. Its abundance is 3187845616705021839532160
Bases of 3421933998620462838656000
- Binary: 10110101001001111101101001111011001101100111110110001100001000001100101100000000002
- Hexadecimal: 0x2D49F69ECD9F630832C00
- Base-36: FH8DMA1E7O9MMXA8
Squares and roots of 3421933998620462838656000
- 3421933998620462838656000 squared (34219339986204628386560002) is 11709632290914629768570084187529061487886336000000
- 3421933998620462838656000 cubed (34219339986204628386560003) is 40069588847624789811491694511794177883505899243320850992035004416000000000
-
The
square root of 3421933998620462838656000 is 1849847020329.1035489377 -
The
cube root of 3421933998620462838656000 is 150692120.0518415831
Scales and comparisons
How big is 3421933998620462838656000?- 3,421,933,998,620,462,838,656,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 3,421,933,998,620,462,838,656,000 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 3421933998620462838656000 cubic inches would be around 12557676.7 feet tall.
Recreational maths with 3421933998620462838656000
- 3421933998620462838656000 backwards is 0006568382640268993391243
- The number of decimal digits it has is: 25
- The sum of 3421933998620462838656000's digits is 107
- More coming soon!
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The information we have on file for 3421933998620462838656000 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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