5046738942820438131840
5,046,738,942,820,438,131,840 is an even composite number composed of seven prime numbers multiplied together.
5046738942820438131840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 5046738942820438131840:
27 × 32 × 5 × 11 × 132 × 1153 × 408770606767
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 13 × 1153 × 408770606767)See below for interesting mathematical facts about the number 5046738942820438131840 from the Numbermatics database.
Names of 5046738942820438131840
- Cardinal: 5046738942820438131840 can be written as Five sextillion, forty-six quintillion, seven hundred thirty-eight quadrillion, nine hundred forty-two trillion, eight hundred twenty billion, four hundred thirty-eight million, one hundred thirty-one thousand, eight hundred forty.
Scientific notation
- Scientific notation: 5.04673894282043813184 × 1021
Factors of 5046738942820438131840
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 408770607954
Divisors of 5046738942820438131840
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 44 45 48 52 55 60 64 65 66 72 78 80 88 90 96 99 104 110 117 120 128 130 132 143 144 156 160 165 169 176 180 192 195 198 208 220 234 240 260 264 286 288 312 320 330 338 352 360 384 390 396 416 429 440 468 480 495 507 520 528 572 576 585 624 640 660 676 704 715 720 780 792 832 845 858 880 936 960 990 1014 1040 1056 1144 1152 1153 1170 1248 1287 1320 1352 1408 1430 1440 1521 1560 1584 1664 1690 1716 1760 1859 1872 1920 1980 2028 2080 2112 2145 2288 2306 2340 2496 2535 2574 2640 2704 2860 2880 3042 3120 3168 3380 3432 3459 3520 3718 3744 3960 4056 4160 4224 4290 4576 4612 4680 4992 5070 5148 5280 5408 5577 5720 5760 5765 6084 6240 6336 6435 6760 6864 6918 7040 7436 7488 7605 7920 8112 8320 8580 9152 9224 9295 9360 10140 10296 10377 10560 10816 11154 11440 11530 12168 12480 12672 12683 12870 13520 13728 13836 14872 14976 14989 15210 15840 16224 16731 17160 17295 18304 18448 18590 18720 20280 20592 20754 21120 21632 22308 22880 23060 24336 24960 25366 25740 27040 27456 27672 27885 29744 29978 30420 31680 32448 33462 34320 34590 36896 37180 37440 38049 40560 41184 41508 44616 44967 45760 46120 48672 50732 51480 51885 54080 54912 55344 55770 59488 59956 60840 63360 63415 64896 66924 68640 69180 73792 74360 74880 74945 76098 81120 82368 83016 83655 89232 89934 91520 92240 97344 101464 102960 103770 108160 110688 111540 114147 118976 119912 121680 126830 133848 134901 137280 138360 147584 148720 149890 152196 162240 164736 164879 166032 167310 178464 179868 184480 190245 194688 194857 202928 205920 207540 221376 223080 224835 228294 237952 239824 243360 253660 267696 269802 274560 276720 297440 299780 304392 324480 329758 332064 334620 356928 359736 368960 380490 389714 405856 411840 415080 442752 446160 449670 456588 479648 486720 494637 507320 535392 539604 553440 570735 584571 594880 599560 608784 659516 664128 669240 674505 713856 719472 737920 760980 779428 811712 823680 824395 830160 892320 899340 913176 959296 973440 974285 989274 1014640 1070784 1079208 1106880 1141470 1169142 1189760 1199120 1217568 1319032 1328256 1338480 1349010 1438944 1483911 1521960 1558856 1623424 1648790 1660320 1753713 1784640 1798680 1826352 1918592 1948570 1978548 2029280 2141568 2143427 2158416 2213760 2282940 2338284 2398240 2435136 2473185 2638064 2676960 2698020 2877888 2922855 2967822 3043920 3117712 3297580 3320640 3507426 3569280 3597360 3652704 3897140 3957096 4058560 4286854 4316832 4565880 4676568 4796480 4870272 4946370 5276128 5353920 5396040 5755776 5845710 5935644 6087840 6235424 6430281 6595160 6641280 7014852 7194720 7305408 7419555 7794280 7914192 8117120 8573708 8633664 8768565 9131760 9353136 9592960 9892740 10552256 10707840 10717135 10792080 11691420 11871288 12175680 12470848 12860562 13190320 14029704 14389440 14610816 14839110 15588560 15828384 17147416 17267328 17537130 18263520 18706272 19290843 19785480 21104512 21434270 21584160 23382840 23742576 24351360 24941696 25721124 26380640 28059408 28778880 29678220 31177120 31656768 32151405 34294832 35074260 36527040 37412544 38581686 39570960 42868540 43168320 46765680 47485152 51442248 52761280 56118816 59356440 62354240 63313536 64302810 68589664 70148520 73054080 74825088 77163372 79141920 85737080 86336640 93531360 94970304 96454215 102884496 105522560 112237632 118712880 124708480 128605620 137179328 140297040 154326744 158283840 171474160 187062720 189940608 192908430 205768992 224475264 237425760 257211240 274358656 280594080 308653488 316567680 342948320 374125440 385816860 411537984 474851520 514422480 561188160 617306976 685896640 771633720 823075968 949703040 1028844960 1122376320 1234613952 1371793280 1543267440 2057689920 2469227904 3086534880 4115379840 6173069760 12346139520 408770606767 817541213534 1226311820301 1635082427068 2043853033835 2452623640602 3270164854136 3678935460903 4087706067670 4496476674437 4905247281204 5314017887971 6131559101505 6540329708272 7357870921806 8175412135340 8992953348874 9810494562408 10628035775942 12263118203010 13080659416544 13489430023311 14715741843612 15942053663913 16350824270680 17985906697748 18394677304515 19620989124816 21256071551884 22482383372185 24526236406020 26161318833088 26570089439855 26978860046622 29431483687224 31884107327826 32701648541360 35971813395496 36789354609030 39241978249632 40468290069933 42512143103768 44964766744370 47826160991739 49052472812040 52322637666176 53140178879710 53957720093244 58454196767681 58862967374448 63768214655652 65403297082720 67447150116555 69082232543623 71943626790992 73578709218060 78483956499264 79710268319565 80936580139866 85024286207536 89929533488740 95652321983478 98104945624080 106280357759420 107915440186488 116908393535362 117725934748896 127536429311304 130806594165440 134894300233110 138164465087246 143887253581984 147157418436120 156967912998528 159420536639130 161873160279732 170048572415072 175362590303043 179859066977480 191304643966956 196209891248160 202341450349665 207246697630869 212560715518840 215830880372976 233816787070724 235451869497792 239130804958695 255072858622608 261613188330880 269788600466220 276328930174492 287774507163968 292270983838405 294314836872240 318841073278260 323746320559464 340097144830144 345411162718115 350725180606086 359718133954960 382609287933912 392419782496320 404682900699330 414493395261738 425121431037680 431661760745952 467633574141448 470903738995584 471312509602351 478261609917390 510145717245216 526087770909129 539577200932440 552657860348984 575549014327936 584541967676810 588629673744480 621740092892607 637682146556520 647492641118928 680194289660288 690822325436230 701450361212172 719436267909920 759904557979853 765218575867824 784839564992640 809365801398660 828986790523476 850242862075360 863323521491904 876812951515215 935267148282896 942625019204702 956523219834780 1020291434490432 1036233488154345 1052175541818258 1079154401864880 1105315720697968 1169083935353620 1177259347488960 1243480185785214 1275364293113040 1294985282237856 1381644650872460 1402900722424344 1413937528807053 1438872535819840 1519809115959706 1530437151735648 1618731602797320 1657973581046952 1700485724150720 1726647042983808 1753625903030430 1870534296565792 1885250038409404 1913046439669560 2040582868980864 2072466976308690 2104351083636516 2158308803729760 2210631441395936 2279713673939559 2338167870707240 2354518694977920 2356562548011755 2486960371570428 2550728586226080 2589970564475712 2630438854545645 2763289301744920 2805801444848688 2827875057614106 2877745071639680 3039618231919412 3060874303471296 3108700464463035 3237463205594640 3315947162093904 3400971448301440 3507251806060860 3741068593131584 3770500076818808 3799522789899265 3826092879339120 4144933952617380 4208702167273032 4241812586421159 4316617607459520 4421262882791872 4559427347879118 4676335741414480 4713125096023510 4973920743140856 5101457172452160 5179941128951424 5184437605625861 5260877709091290 5526578603489840 5611602889697376 5655750115228212 6079236463838824 6121748606942592 6127062624830563 6217400928926070 6474926411189280 6631894324187808 6839141021818677 7014503612121720 7069687644035265 7482137186263168 7541000153637616 7599045579798530 7652185758678240 8289867905234760 8417404334546064 8483625172842318 8633235214919040 8842525765583744 9118854695758236 9352671482828960 9426250192047020 9947841486281712 10202914344904320 10368875211251722 10521755418182580 11053157206979680 11223205779394752 11311500230456424 11398568369697795 12158472927677648 12254125249661126 12434801857852140 12949852822378560 13263788648375616 13678282043637354 14029007224243440 14139375288070530 15082000307275232 15198091159597060 15304371517356480 15553312816877583 16579735810469520 16834808669092128 16967250345684636 18237709391516472 18381187874491689 18705342965657920 18852500384094040 19895682972563424 20737750422503444 21043510836365160 21209062932105795 22106314413959360 22446411558789504 22623000460912848 22797136739395590 24316945855355296 24508250499322252 24869603715704280 25899705644757120 25922188028129305 26527577296751232 27356564087274708 28058014448486880 28278750576141060 30164000614550464 30396182319194120 30608743034712960 30635313124152815 31106625633755166 33159471620939040 33669617338184256 33934500691369272 34195705109093385 36475418783032944 36762375748983378 37410685931315840 37705000768188080 39791365945126848 41475500845006888 42087021672730320 42418125864211590 44212628827918720 45246000921825696 45594273478791180 46659938450632749 48633891710710592 49016500998644504 49739207431408560 51844376056258610 54713128174549416 55143563623475067 56116028896973760 56557501152282120 60328001229100928 60792364638388240 61270626248305630 62213251267510332 66318943241878080 67339234676368512 67397688873136193 67869001382738544 68391410218186770 72950837566065888 73524751497966756 75410001536376160 77766564084387915 79582731890253696 79651814122797319 82951001690013776 84174043345460640 84836251728423180 90492001843651392 91188546957582360 91905939372458445 93319876901265498 97267783421421184 98033001997289008 99478414862817120 103688752112517220 109426256349098832 110287127246950134 112232057793947520 113115002304564240 121584729276776480 122541252496611260 124426502535020664 132637886483756160 134795377746272386 135738002765477088 136782820436373540 145901675132131776 147049502995933512 150820003072752320 155533128168775830 159303628245594638 165902003380027552 168348086690921280 169672503456846360 180984003687302784 182377093915164720 183811878744916890 186639753802530996 196066003994578016 198956829725634240 202193066619408579 207377504225034440 218852512698197664 220574254493900268 226230004609128480 233299692253163745 238955442368391957 243169458553552960 245082504993222520 248853005070041328 269590755492544772 271476005530954176 273565640872747080 275717818117375335 291803350264263552 294099005991867024 301640006145504640 311066256337551660 318607256491189276 331804006760055104 336696173381842560 336988444365680965 339345006913692720 364754187830329440 367623757489833780 373279507605061992 392132007989156032 397913659451268480 398259070613986595 404386133238817158 414755008450068880 437705025396395328 441148508987800536 452460009218256960 466599384506327490 477910884736783914 486338917107105920 490165009986445040 497706010140082656 539181510985089544 542952011061908352 547131281745494160 551435636234750670 588198011983734048 606579199858225737 622132512675103320 637214512982378552 663608013520110208 673976888731361930 678690013827385440 716866327105175871 729508375660658880 735247514979667560 746559015210123984 784264015978312064 796518141227973190 808772266477634316 829510016900137760 875410050792790656 876169955350770509 882297017975601072 904920018436513920 933198769012654980 955821769473567828 980330019972890080 995412020280165312 1010965333097042895 1078363021970179088 1094262563490988320 1102871272469501340 1176396023967468096 1194777211841959785 1213158399716451474 1244265025350206640 1274429025964757104 1347953777462723860 1357380027654770880 1433732654210351742 1459016751321317760 1470495029959335120 1493118030420247968 1593036282455946380 1617544532955268632 1659020033800275520 1752339910701541018 1764594035951202144 1866397538025309960 1911643538947135656 1960660039945780160 1990824040560330624 2021930666194085790 2156726043940358176 2188525126981976640 2205742544939002680 2352792047934936192 2389554423683919570 2426316799432902948 2488530050700413280 2548858051929514208 2628509866052311527 2695907554925447720 2714760055309541760 2867465308420703484 2940990059918670240 2986236060840495936 3032895999291128685 3186072564911892760 3235089065910537264 3318040067600551040 3504679821403082036 3529188071902404288 3584331635525879355 3732795076050619920 3823287077894271312 3921320079891560320 4043861332388171580 4313452087880716352 4377050253963953280 4380849776753852545 4411485089878005360 4779108847367839140 4852633598865805896 4977060101400826560 5097716103859028416 5257019732104623054 5391815109850895440 5734930616841406968 5881980119837340480 5972472121680991872 6065791998582257370 6372145129823785520 6470178131821074528 7009359642806164072 7058376143804808576 7168663271051758710 7465590152101239840 7646574155788542624 7885529598156934581 8087722664776343160 8626904175761432704 8761699553507705090 8822970179756010720 9558217694735678280 9705267197731611792 9954120202801653120 10195432207718056832 10514039464209246108 10783630219701790880 11469861233682813936 11763960239674680960 12131583997164514740 12744290259647571040 12940356263642149056 13142549330261557635 14018719285612328144 14337326542103517420 14931180304202479680 15293148311577085248 15771059196313869162 16175445329552686320 17523399107015410180 17645940359512021440 19116435389471356560 19410534395463223584 21028078928418492216 21567260439403581760 22939722467365627872 24263167994329029480 25488580519295142080 25880712527284298112 26285098660523115270 28037438571224656288 28674653084207034840 29862360608404959360 30586296623154170496 31542118392627738324 32350890659105372640 35046798214030820360 35291880719024042880 38232870778942713120 38821068790926447168 39427647990784672905 42056157856836984432 43134520878807163520 45879444934731255744 48526335988658058960 50977161038590284160 52570197321046230540 56074877142449312576 57349306168414069680 63084236785255476648 64701781318210745280 70093596428061640720 76465741557885426240 77642137581852894336 78855295981569345810 84112315713673968864 91758889869462511488 97052671977316117920 105140394642092461080 112149754284898625152 114698612336828139360 126168473570510953296 129403562636421490560 140187192856123281440 152931483115770852480 157710591963138691620 168224631427347937728 194105343954632235840 210280789284184922160 229397224673656278720 252336947141021906592 280374385712246562880 315421183926277383240 336449262854695875456 388210687909264471680 420561578568369844320 458794449347312557440 504673894282043813184 560748771424493125760 630842367852554766480 841123157136739688640 1009347788564087626368 1261684735705109532960 1682246314273479377280 2523369471410219065920 5046738942820438131840
- Sum of all divisors σ(n): 20604049634387552935680
- Sum of proper divisors (its aliquot sum) s(n): 15557310691567114803840
- 5046738942820438131840 is an abundant number, because the sum of its proper divisors (15557310691567114803840) is greater than itself. Its abundance is 10510571748746676672000
Bases of 5046738942820438131840
- Binary: 10001000110010101100100100111100110111001111011101010001001000100100000002
- Hexadecimal: 0x111959279B9EEA24480
- Base-36: TL2R8G2M5ATCW0
Squares and roots of 5046738942820438131840
- 5046738942820438131840 squared (50467389428204381318402) is 25469573956980353503590434954737109221785600
- 5046738942820438131840 cubed (50467389428204381318403) is 128538290745737992431521662660858311668850251143079013893013504000
-
The
square root of 5046738942820438131840 is 71040403594.1550527157 -
The
cube root of 5046738942820438131840 is 17152875.9470968863
Scales and comparisons
How big is 5046738942820438131840?- 5,046,738,942,820,438,131,840 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 5,046,738,942,820,438,131,840 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 5046738942820438131840 cubic inches would be around 1429406.3 feet tall.
Recreational maths with 5046738942820438131840
- 5046738942820438131840 backwards is 0481318340282498376405
- 5046738942820438131840 is a
Harshad number . - The number of decimal digits it has is: 22
- The sum of 5046738942820438131840's digits is 90
- More coming soon!
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The information we have on file for 5046738942820438131840 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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