48818142672931336320
48,818,142,672,931,336,320 is an even composite number composed of seven prime numbers multiplied together.
48818142672931336320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 48818142672931336320:
27 × 33 × 5 × 7 × 11 × 313 × 117220198219
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 313 × 117220198219)See below for interesting mathematical facts about the number 48818142672931336320 from the Numbermatics database.
Names of 48818142672931336320
- Cardinal: 48818142672931336320 can be written as Forty-eight quintillion, eight hundred eighteen quadrillion, one hundred forty-two trillion, six hundred seventy-two billion, nine hundred thirty-one million, three hundred thirty-six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.881814267293133632 × 1019
Factors of 48818142672931336320
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 117220198560
Divisors of 48818142672931336320
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 64 66 70 72 77 80 84 88 90 96 99 105 108 110 112 120 126 128 132 135 140 144 154 160 165 168 176 180 189 192 198 210 216 220 224 231 240 252 264 270 280 288 297 308 313 315 320 330 336 352 360 378 384 385 396 420 432 440 448 462 480 495 504 528 540 560 576 594 616 626 630 640 660 672 693 704 720 756 770 792 840 864 880 896 924 939 945 960 990 1008 1056 1080 1120 1152 1155 1188 1232 1252 1260 1320 1344 1386 1408 1440 1485 1512 1540 1565 1584 1680 1728 1760 1848 1878 1890 1920 1980 2016 2079 2112 2160 2191 2240 2310 2376 2464 2504 2520 2640 2688 2772 2817 2880 2970 3024 3080 3130 3168 3360 3443 3456 3465 3520 3696 3756 3780 3960 4032 4158 4224 4320 4382 4480 4620 4695 4752 4928 5008 5040 5280 5544 5634 5760 5940 6048 6160 6260 6336 6573 6720 6886 6930 7040 7392 7512 7560 7920 8064 8316 8451 8640 8764 9240 9390 9504 9856 10016 10080 10329 10395 10560 10955 11088 11268 11880 12096 12320 12520 12672 13146 13440 13772 13860 14085 14784 15024 15120 15840 16632 16902 17215 17280 17528 18480 18780 19008 19719 20032 20160 20658 20790 21120 21910 22176 22536 23760 24101 24192 24640 25040 26292 27544 27720 28170 29568 30048 30240 30987 31680 32865 33264 33804 34430 35056 36960 37560 38016 39438 40064 40320 41316 41580 42255 43820 44352 45072 47520 48202 49280 50080 51645 52584 55088 55440 56340 59157 60096 60480 61974 63360 65730 66528 67608 68860 70112 72303 73920 75120 78876 82632 83160 84510 87640 88704 90144 92961 95040 96404 98595 100160 103290 105168 110176 110880 112680 118314 120192 120505 120960 123948 131460 133056 135216 137720 140224 144606 147840 150240 154935 157752 165264 166320 169020 175280 180288 185922 190080 192808 197190 200320 206580 210336 216909 220352 221760 225360 236628 241010 247896 262920 266112 270432 275440 280448 289212 295785 300480 309870 315504 330528 332640 338040 350560 360576 361515 371844 385616 394380 413160 420672 433818 440704 443520 450720 464805 473256 482020 495792 525840 540864 550880 578424 591570 600960 619740 631008 650727 661056 665280 676080 701120 723030 743688 771232 788760 826320 841344 867636 901440 929610 946512 964040 991584 1051680 1081728 1084545 1101760 1156848 1183140 1239480 1262016 1301454 1322112 1330560 1352160 1402240 1446060 1487376 1542464 1577520 1652640 1735272 1802880 1859220 1893024 1928080 1983168 2103360 2169090 2203520 2313696 2366280 2478960 2524032 2602908 2704320 2892120 2974752 3084928 3155040 3253635 3305280 3470544 3718440 3786048 3856160 3966336 4206720 4338180 4627392 4732560 4957920 5205816 5408640 5784240 5949504 6310080 6507270 6610560 6941088 7436880 7572096 7712320 8676360 9254784 9465120 9915840 10411632 11568480 11899008 12620160 13014540 13882176 14873760 15424640 17352720 18930240 19831680 20823264 23136960 26029080 27764352 29747520 34705440 37860480 41646528 46273920 52058160 59495040 69410880 83293056 104116320 138821760 208232640 416465280 117220198219 234440396438 351660594657 468880792876 586100991095 703321189314 820541387533 937761585752 1054981783971 1172201982190 1289422180409 1406642378628 1641082775066 1758302973285 1875523171504 2109963567942 2344403964380 2461624162599 2578844360818 2813284757256 3164945351913 3282165550132 3516605946570 3751046343008 3868266541227 4102706937665 4219927135884 4688807928760 4923248325198 5157688721636 5274908919855 5626569514512 6329890703826 6447110902045 6564331100264 7033211893140 7384872487797 7502092686016 7736533082454 8205413875330 8439854271768 9025955262863 9377615857520 9846496650396 10315377443272 10549817839710 11253139029024 11604799623681 12308120812995 12659781407652 12894221804090 13128662200528 14066423786280 14769744975594 15004185372032 15473066164908 15824726759565 16410827750660 16879708543536 18051910525726 18755231715040 19341332706135 19692993300792 20630754886544 21099635679420 22154617463391 22506278058048 23209599247362 24616241625990 25319562815304 25788443608180 26257324401056 27077865788589 28132847572560 29539489951188 30946132329816 31649453519130 32821655501320 33759417087072 34814398871043 36103821051452 36689922042547 36924362438985 37510463430080 38682665412270 39385986601584 41261509773088 42199271358840 44309234926782 45012556116096 45129776314315 46419198494724 49232483251980 50639125630608 51576887216360 52514648802112 54155731577178 56265695145120 58023998118405 59078979902376 61892264659632 63298907038260 65643311002640 67518834174144 69628797742086 72207642102904 73379844085094 73848724877970 75020926860160 77365330824540 78771973203168 81233597365767 82523019546176 84398542717680 88618469853564 90259552628630 92838396989448 98464966503960 101278251261216 103153774432720 105029297604224 108311463154356 110069766127641 110773087316955 112531390290240 116047996236810 118157959804752 123784529319264 126597814076520 131286622005280 135037668348288 135389328942945 139257595484172 144415284205808 146759688170188 147697449755940 154730661649080 157543946406336 162467194731534 165046039092352 168797085435360 174071994355215 177236939707128 180519105257260 183449610212735 185676793978896 196929933007920 202556502522432 206307548865440 216622926308712 220139532255282 221546174633910 225062780580480 232095992473620 236315919609504 243700792097301 247569058638528 253195628153040 256829454297829 262573244010560 270778657885890 278515190968344 288830568411616 293519376340376 295394899511880 309461323298160 315087892812672 324934389463068 330209298382923 337594170870720 348143988710430 354473879414256 361038210514520 366899220425470 371353587957792 393859866015840 403589142468017 405113005044864 406167986828835 412615097730880 433245852617424 440279064510564 443092349267820 464191984947240 472631839219008 487401584194602 495138117277056 506391256306080 513658908595658 525146488021120 541557315771780 550348830638205 557030381936688 577661136823232 587038752680752 590789799023760 618922646596320 649868778926136 660418596765846 675188341741440 696287977420860 708947758828512 722076421029040 733798440850940 742707175915584 770488362893487 787719732031680 807178284936034 812335973657670 825230195461760 866491705234848 880558129021128 886184698535640 928383969894480 945263678438016 974803168389204 990627895148769 1012782512612160 1027317817191316 1083114631543560 1100697661276410 1114060763873376 1155322273646464 1174077505361504 1181579598047520 1210767427404051 1218503960486505 1237845293192640 1284147271489145 1299737557852272 1320837193531692 1392575954841720 1417895517657024 1444152842058080 1467596881701880 1485414351831168 1540976725786974 1575439464063360 1614356569872068 1624671947315340 1651046491914615 1732983410469696 1761116258042256 1772369397071280 1856767939788960 1949606336778408 1981255790297538 2017945712340085 2025565025224320 2054635634382632 2166229263087120 2201395322552820 2228121527746752 2311465088680461 2348155010723008 2363159196095040 2421534854808102 2437007920973010 2475690586385280 2568294542978290 2599475115704544 2641674387063384 2785151909683440 2825123997276119 2835791035314048 2888305684116160 2935193763403760 3081953451573948 3228713139744136 3249343894630680 3302092983829230 3465966820939392 3522232516084512 3544738794142560 3632302282212153 3713535879577920 3852441814467435 3899212673556816 3962511580595076 4035891424680170 4109271268765264 4332458526174240 4402790645105640 4456243055493504 4622930177360922 4696310021446016 4726318392190080 4843069709616204 4874015841946020 4953139475743845 5136589085956580 5198950231409088 5283348774126768 5570303819366880 5650247994552238 5776611368232320 5870387526807520 6053837137020255 6163906903147896 6457426279488272 6498687789261360 6604185967658460 6934395266041383 7044465032169024 7089477588285120 7264604564424306 7427071759155840 7704883628934870 7798425347113632 7925023161190152 8071782849360340 8218542537530528 8475371991828357 8664917052348480 8805581290211280 9245860354721844 9686139419232408 9748031683892040 9906278951487690 10273178171913160 10397900462818176 10566697548253536 10896906846636459 11140607638733760 11300495989104476 11557325443402305 11740775053615040 12107674274040510 12327813806295792 12914852558976544 12997375578522720 13208371935316920 13868790532082766 14088930064338048 14125619986380595 14178955176570240 14529209128848612 15409767257869740 15596850694227264 15850046322380304 16143565698720680 16437085075061056 16950743983656714 17329834104696960 17611162580422560 18161511411060765 18491720709443688 19372278838464816 19496063367784080 19812557902975380 20546356343826320 21133395096507072 21793813693272918 22281215277467520 22600991978208952 23114650886804610 23481550107230080 24215348548081020 24655627612591584 25426115975485071 25829705117953088 25994751157045440 26416743870633840 27737581064165532 28251239972761190 29058418257697224 30819534515739480 31193701388454528 31700092644760608 32287131397441360 32874170150122112 33901487967313428 34671976330206915 35222325160845120 36323022822121530 36983441418887376 38744557676929632 38992126735568160 39625115805950760 41092712687652640 42266790193014144 42376859959141785 43587627386545836 45201983956417904 46229301773609220 48430697096162040 49311255225183168 50852231950970142 51659410235906176 51989502314090880 52833487741267680 54484534233182295 55475162128331064 56502479945522380 58116836515394448 61639069031478960 63400185289521216 64574262794882720 67802975934626856 69343952660413830 70444650321690240 72646045644243060 73966882837774752 76278347926455213 77489115353859264 77984253471136320 79250231611901520 82185425375305280 84753719918283570 87175254773091672 90403967912835808 92458603547218440 96861394192324080 98622510450366336 101704463901940284 105666975482535360 108969068466364590 110950324256662128 113004959891044760 116233673030788896 123278138062957920 126800370579042432 127130579877425355 129148525589765440 135605951869253712 138687905320827660 145292091288486120 147933765675549504 152556695852910426 154978230707718528 155968506942272640 158500463223803040 164370850750610560 169507439836567140 174350509546183344 180807935825671616 184917207094436880 193722788384648160 203408927803880568 211333950965070720 217938136932729180 221900648513324256 226009919782089520 232467346061577792 246556276125915840 254261159754850710 258297051179530880 271211903738507424 277375810641655320 290584182576972240 295867531351099008 305113391705820852 317000926447606080 339014879673134280 348701019092366688 361615871651343232 369834414188873760 381391739632276065 387445576769296320 406817855607761136 435876273865458360 443801297026648512 452019839564179040 464934692123155584 493112552251831680 508522319509701420 542423807477014848 554751621283310640 581168365153944480 610226783411641704 634001852895212160 678029759346268560 697402038184733376 739668828377747520 762783479264552130 774891153538592640 813635711215522272 871752547730916720 887602594053297024 904039679128358080 1017044639019402840 1084847614954029696 1109503242566621280 1162336730307888960 1220453566823283408 1356059518692537120 1394804076369466752 1479337656755495040 1525566958529104260 1627271422431044544 1743505095461833440 1808079358256716160 2034089278038805680 2219006485133242560 2324673460615777920 2440907133646566816 2712119037385074240 3051133917058208520 3254542844862089088 3487010190923666880 4068178556077611360 4438012970266485120 4881814267293133632 5424238074770148480 6102267834116417040 6974020381847333760 8136357112155222720 9763628534586267264 12204535668232834080 16272714224310445440 24409071336465668160 48818142672931336320
- Sum of all divisors σ(n): 216249322094793216000
- Sum of proper divisors (its aliquot sum) s(n): 167431179421861879680
- 48818142672931336320 is an abundant number, because the sum of its proper divisors (167431179421861879680) is greater than itself. Its abundance is 118613036748930543360
Bases of 48818142672931336320
- Binary: 1010100101011111001110001000011100100001100110100100110000100000002
- Hexadecimal: 0x2A57CE21C86693080
- Base-36: AAWAZAR6BLEO0
Squares and roots of 48818142672931336320
- 48818142672931336320 squared (488181426729313363202) is 2383211054034679518275618281420951142400
- 48818142672931336320 cubed (488181426729313363203) is 116343937255572056971823344256349626835567901500662611968000
-
The
square root of 48818142672931336320 is 6986998115.9959773041 -
The
cube root of 48818142672931336320 is 3654773.0805785751
Scales and comparisons
How big is 48818142672931336320?- 48,818,142,672,931,336,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,818,142,672,931,336,320 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 48818142672931336320 cubic inches would be around 304564.4 feet tall.
Recreational maths with 48818142672931336320
- 48818142672931336320 backwards is 02363313927624181884
- The number of decimal digits it has is: 20
- The sum of 48818142672931336320's digits is 81
- More coming soon!
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"Number 48818142672931336320 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 48818142672931336320 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/48818142672931336320/
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The information we have on file for 48818142672931336320 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 48818142672931336320, math, Factors of 48818142672931336320, curriculum, school, college, exams, university, Prime factorization of 48818142672931336320, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quintillion, eight hundred eighteen quadrillion, one hundred forty-two trillion, six hundred seventy-two billion, nine hundred thirty-one million, three hundred thirty-six thousand, three hundred twenty.