48385153536768000
48,385,153,536,768,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 48385153536768000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1440 divisors.
48385153536768000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 48385153536768000:
211 × 35 × 53 × 1674
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 167 × 167 × 167 × 167)See below for interesting mathematical facts about the number 48385153536768000 from the Numbermatics database.
Names of 48385153536768000
- Cardinal: 48385153536768000 can be written as Forty-eight quadrillion, three hundred eighty-five trillion, one hundred fifty-three billion, five hundred thirty-six million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.8385153536768 × 1016
Factors of 48385153536768000
Divisors of 48385153536768000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 167 180 192 200 216 225 240 243 250 256 270 288 300 320 324 334 360 375 384 400 405 432 450 480 486 500 501 512 540 576 600 640 648 668 675 720 750 768 800 810 835 864 900 960 972 1000 1002 1024 1080 1125 1152 1200 1215 1280 1296 1336 1350 1440 1500 1503 1536 1600 1620 1670 1728 1800 1920 1944 2000 2004 2025 2048 2160 2250 2304 2400 2430 2505 2560 2592 2672 2700 2880 3000 3006 3072 3200 3240 3340 3375 3456 3600 3840 3888 4000 4008 4050 4175 4320 4500 4509 4608 4800 4860 5010 5120 5184 5344 5400 5760 6000 6012 6075 6144 6400 6480 6680 6750 6912 7200 7515 7680 7776 8000 8016 8100 8350 8640 9000 9018 9216 9600 9720 10020 10125 10240 10368 10688 10800 11520 12000 12024 12150 12525 12800 12960 13360 13500 13527 13824 14400 15030 15360 15552 16000 16032 16200 16700 17280 18000 18036 18432 19200 19440 20040 20250 20736 20875 21376 21600 22545 23040 24000 24048 24300 25050 25600 25920 26720 27000 27054 27648 27889 28800 30060 30375 30720 31104 32000 32064 32400 33400 34560 36000 36072 37575 38400 38880 40080 40500 40581 41472 41750 42752 43200 45090 46080 48000 48096 48600 50100 51200 51840 53440 54000 54108 55296 55778 57600 60120 60750 62208 62625 64000 64128 64800 66800 67635 69120 72000 72144 75150 76800 77760 80160 81000 81162 82944 83500 83667 85504 86400 90180 92160 96000 96192 97200 100200 103680 106880 108000 108216 111556 112725 115200 120240 121500 124416 125250 128000 128256 129600 133600 135270 138240 139445 144000 144288 150300 153600 155520 160320 162000 162324 165888 167000 167334 171008 172800 180360 187875 192000 192384 194400 200400 202905 207360 213760 216000 216432 223112 225450 230400 240480 243000 248832 250500 251001 256000 256512 259200 267200 270540 276480 278890 288000 288576 300600 311040 320640 324000 324648 334000 334668 338175 342016 345600 360720 375750 384000 384768 388800 400800 405810 414720 418335 427520 432000 432864 446224 450900 460800 480960 486000 497664 501000 502002 513024 518400 534400 541080 557780 563625 576000 577152 601200 622080 641280 648000 649296 668000 669336 676350 691200 697225 721440 751500 753003 768000 769536 777600 801600 811620 829440 836670 855040 864000 865728 892448 901800 961920 972000 1002000 1004004 1014525 1026048 1036800 1068800 1082160 1115560 1127250 1152000 1154304 1202400 1244160 1255005 1282560 1296000 1298592 1336000 1338672 1352700 1382400 1394450 1442880 1503000 1506006 1539072 1555200 1603200 1623240 1673340 1690875 1710080 1728000 1731456 1784896 1803600 1923840 1944000 2004000 2008008 2029050 2073600 2091675 2137600 2164320 2231120 2254500 2259009 2304000 2308608 2404800 2488320 2510010 2565120 2592000 2597184 2672000 2677344 2705400 2788900 2885760 3006000 3012012 3078144 3110400 3206400 3246480 3346680 3381750 3456000 3462912 3486125 3569792 3607200 3765015 3847680 3888000 4008000 4016016 4058100 4147200 4183350 4275200 4328640 4462240 4509000 4518018 4617216 4657463 4809600 5020020 5072625 5130240 5184000 5194368 5344000 5354688 5410800 5577800 5771520 6012000 6024024 6220800 6275025 6412800 6492960 6693360 6763500 6777027 6912000 6925824 6972250 7139584 7214400 7530030 7695360 7776000 8016000 8032032 8116200 8366700 8550400 8657280 8924480 9018000 9036036 9234432 9314926 9619200 10040040 10145250 10368000 10388736 10458375 10688000 10709376 10821600 11155600 11295045 11543040 12024000 12048048 12441600 12550050 12825600 12985920 13386720 13527000 13554054 13851648 13944500 13972389 14279168 14428800 15060060 15390720 15552000 16032000 16064064 16232400 16733400 17314560 17848960 18036000 18072072 18629852 18825075 19238400 20080080 20290500 20736000 20777472 20916750 21376000 21418752 21643200 22311200 22590090 23086080 23287315 24048000 24096096 25100100 25651200 25971840 26773440 27054000 27108108 27703296 27889000 27944778 28558336 28857600 30120120 31104000 31375125 32064000 32128128 32464800 33466800 33885135 34629120 35697920 36072000 36144144 37259704 37650150 38476800 40160160 40581000 41554944 41833500 41917167 42752000 42837504 43286400 44622400 45180180 46172160 46574630 48096000 48192192 50200200 51943680 53546880 54108000 54216216 55778000 55889556 56475225 57116672 57715200 60240240 62208000 62750250 64128000 64256256 64929600 66933600 67770270 69258240 69861945 71395840 72144000 72288288 74519408 75300300 76953600 80320320 81162000 83109888 83667000 83834334 85675008 86572800 89244800 90360360 93149260 94125375 96192000 96384384 100400400 103887360 107093760 108216000 108432432 111556000 111779112 112950450 115430400 116436575 120480480 125500500 125751501 128256000 128512512 129859200 133867200 135540540 138516480 139723890 142791680 144288000 144576576 149038816 150600600 160640640 162324000 167334000 167668668 169425675 171350016 173145600 178489600 180720720 186298520 188250750 192384000 192768768 200800800 207774720 209585835 214187520 216432000 216864864 223112000 223558224 225900900 230860800 232873150 240960960 251001000 251503002 257025024 259718400 267734400 271081080 279447780 282376125 285583360 288576000 289153152 298077632 301201200 321281280 324648000 334668000 335337336 338851350 346291200 349309725 356979200 361441440 372597040 376501500 377254503 384768000 385537536 401601600 415549440 419171670 428375040 432864000 433729728 446224000 447116448 451801800 465746300 481921920 502002000 503006004 514050048 519436800 535468800 542162160 558895560 564752250 577152000 578306304 582182875 596155264 602402400 628757505 642562560 649296000 669336000 670674672 677702700 692582400 698619450 713958400 722882880 745194080 753003000 754509006 771075072 777796321 803203200 838343340 847128375 856750080 865728000 867459456 892448000 894232896 903603600 931492600 963843840 1004004000 1006012008 1038873600 1047929175 1070937600 1084324320 1117791120 1129504500 1131763509 1154304000 1156612608 1164365750 1192310528 1204804800 1257515010 1285125120 1298592000 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6706746720 6777027000 6939675648 6986194500 7000166889 7139584000 7153863168 7228828800 7451940800 7545090060 7710750720 7777963210 8032032000 8048096064 8383433400 8674594560 8942328960 9036036000 9054108072 9314926000 9333555852 9431362575 9538484224 9638438400 10060120080 10388736000 10479291750 10709376000 10730794752 10843243200 11177911200 11317635090 11566126080 11666944815 11923105280 12048048000 12072144096 12444741136 12575150100 12851251200 13413493440 13554054000 13879351296 13972389000 14000333778 14307726336 14457657600 14903881600 15090180120 15555926420 15718937625 16064064000 16096192128 16766866800 17349189120 17884657920 18072072000 18108216144 18629852000 18667111704 18862725150 19276876800 19444908025 20120240160 20958583500 21000500667 21418752000 21461589504 21686486400 22355822400 22635270180 23132252160 23333889630 23846210560 24096096000 24144288192 24889482272 25150300200 26826986880 27108108000 27944778000 28000667556 28294087725 28615452672 28915315200 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560013351120 565881754500 578306304000 579462916608 583347240750 596155264000 597347574528 603607204800 622237056800 630015020010 643847685120 670674672000 672016021344 700016688900 715386316800 724328645760 746684468160 754509006000 756018024012 772617222144 777796321000 796463432704 804809606400 840020026680 867459456000 875020861125 894232896000 896021361792 905410807200 933355585200 945022530015 965771527680 995579290880 1006012008000 1008024032016 1050025033350 1073079475200 1120026702240 1131763509000 1158925833216 1166694481500 1192310528000 1194695149056 1207214409600 1244474113600 1260030040020 1287695370240 1341349344000 1344032042688 1400033377800 1448657291520 1493368936320 1509018012000 1512036048024 1555592642000 1575037550025 1592926865408 1609619212800 1680040053360 1734918912000 1750041722250 1788465792000 1792042723584 1810821614400 1866711170400 1890045060030 1931543055360 1991158581760 2012024016000 2016048064032 2100050066700 2146158950400 2240053404480 2263527018000 2317851666432 2333388963000 2389390298112 2414428819200 2488948227200 2520060080040 2625062583375 2682698688000 2688064085376 2800066755600 2897314583040 2986737872640 3018036024000 3024072096048 3111185284000 3150075100050 3219238425600 3360080106720 3500083444500 3576931584000 3584085447168 3621643228800 3733422340800 3780090120060 3863086110720 3982317163520 4024048032000 4032096128064 4200100133400 4480106808960 4527054036000 4666777926000 4725112650075 4778780596224 4828857638400 4977896454400 5040120160080 5250125166750 5365397376000 5376128170752 5600133511200 5794629166080 5973475745280 6036072048000 6048144192096 6222370568000 6300150200100 6438476851200 6720160213440 7000166889000 7168170894336 7243286457600 7466844681600 7560180240120 7875187750125 7964634327040 8048096064000 8064192256128 8400200266800 8960213617920 9054108072000 9333555852000 9450225300150 9657715276800 9955792908800 10080240320160 10500250333500 10730794752000 10752256341504 11200267022400 11589258332160 11946951490560 12072144096000 12096288384192 12444741136000 12600300400200 13440320426880 14000333778000 14336341788672 14486572915200 14933689363200 15120360480240 15750375500250 16096192128000 16128384512256 16800400533600 17920427235840 18108216144000 18667111704000 18900450600300 19315430553600 19911585817600 20160480640320 21000500667000 21504512683008 22400534044800 23625563250375 23893902981120 24144288192000 24192576768384 24889482272000 25200600800400 26880640853760 28000667556000 28973145830400 29867378726400 30240720960480 31500751000500 32192384256000 32256769024512 33600801067200 35840854471680 36216432288000 37334223408000 37800901200600 39823171635200 40320961280640 42001001334000 43009025366016 44801068089600 47251126500750 48288576384000 48385153536768 49778964544000 50401201600800 53761281707520 56001335112000 57946291660800 59734757452800 60481441920960 63001502001000 64513538049024 67201602134400 71681708943360 72432864576000 74668446816000 75601802401200 80641922561280 84002002668000 89602136179200 94502253001500 96577152768000 96770307073536 99557929088000 100802403201600 107522563415040 112002670224000 119469514905600 120962883841920 126003004002000 129027076098048 134403204268800 144865729152000 149336893632000 151203604802400 161283845122560 168004005336000 179204272358400 189004506003000 193540614147072 199115858176000 201604806403200 215045126830080 224005340448000 241925767683840 252006008004000 268806408537600 289731458304000 298673787264000 302407209604800 322567690245120 336008010672000 358408544716800 378009012006000 387081228294144 403209612806400 448010680896000 483851535367680 504012016008000 537612817075200 597347574528000 604814419209600 645135380490240 672016021344000 756018024012000 806419225612800 896021361792000 967703070735360 1008024032016000 1075225634150400 1209628838419200 1344032042688000 1512036048024000 1612838451225600 1792042723584000 1935406141470720 2016048064032000 2419257676838400 2688064085376000 3024072096048000 3225676902451200 4032096128064000 4838515353676800 5376128170752000 6048144192096000 8064192256128000 9677030707353600 12096288384192000 16128384512256000 24192576768384000 48385153536768000
- Sum of all divisors σ(n): 181950878079013680
- Sum of proper divisors (its aliquot sum) s(n): 133565724542245680
- 48385153536768000 is an abundant number, because the sum of its proper divisors (133565724542245680) is greater than itself. Its abundance is 85180571005477680
Bases of 48385153536768000
- Binary: 101010111110011000001010011100001111011000111000000000002
- Hexadecimal: 0xABE60A70F63800
- Base-36: D8F3SOC5C00
Squares and roots of 48385153536768000
- 48385153536768000 squared (483851535367680002) is 2341123082776612899127885824000000
- 48385153536768000 cubed (483851535367680003) is 113275599808618034841913274799848089976832000000000
-
The
square root of 48385153536768000 is 219966255.4501667195 -
The
cube root of 48385153536768000 is 364393.5724494773
Scales and comparisons
How big is 48385153536768000?- 48,385,153,536,768,000 seconds is equal to 1,538,498,217 years, 18 weeks, 6 days.
-
To count from 1 to 48,385,153,536,768,000 would take you about four billion, six hundred fifteen million, four hundred ninety-four thousand, six hundred fifty-two 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 48385153536768000 cubic inches would be around 30366.1 feet tall.
Recreational maths with 48385153536768000
- 48385153536768000 backwards is 00086763535158384
- 48385153536768000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48385153536768000's digits is 72
- More coming soon!
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"Number 48385153536768000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 48385153536768000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/48385153536768000/
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The information we have on file for 48385153536768000 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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