48678386089984000
48,678,386,089,984,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 48678386089984000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
48678386089984000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 48678386089984000:
217 × 53 × 72 × 61 × 9972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 61 × 997 × 997)See below for interesting mathematical facts about the number 48678386089984000 from the Numbermatics database.
Names of 48678386089984000
- Cardinal: 48678386089984000 can be written as Forty-eight quadrillion, six hundred seventy-eight trillion, three hundred eighty-six billion, eighty-nine million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 4.8678386089984 × 1016
Factors of 48678386089984000
Divisors of 48678386089984000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 61 64 70 80 98 100 112 122 125 128 140 160 175 196 200 224 244 245 250 256 280 305 320 350 392 400 427 448 488 490 500 512 560 610 640 700 784 800 854 875 896 976 980 997 1000 1024 1120 1220 1225 1280 1400 1525 1568 1600 1708 1750 1792 1952 1960 1994 2000 2048 2135 2240 2440 2450 2560 2800 2989 3050 3136 3200 3416 3500 3584 3904 3920 3988 4000 4096 4270 4480 4880 4900 4985 5120 5600 5978 6100 6125 6272 6400 6832 6979 7000 7168 7625 7808 7840 7976 8000 8192 8540 8960 9760 9800 9970 10240 10675 11200 11956 12200 12250 12544 12800 13664 13958 14000 14336 14945 15250 15616 15680 15952 16000 16384 17080 17920 19520 19600 19940 20480 21350 22400 23912 24400 24500 24925 25088 25600 27328 27916 28000 28672 29890 30500 31232 31360 31904 32000 32768 34160 34895 35840 39040 39200 39880 40960 42700 44800 47824 48800 48853 49000 49850 50176 51200 53375 54656 55832 56000 57344 59780 60817 61000 62464 62720 63808 64000 65536 68320 69790 71680 74725 78080 78400 79760 81920 85400 89600 95648 97600 97706 98000 99700 100352 102400 106750 109312 111664 112000 114688 119560 121634 122000 124625 124928 125440 127616 128000 131072 136640 139580 143360 149450 156160 156800 159520 163840 170800 174475 179200 191296 195200 195412 196000 199400 200704 204800 213500 218624 223328 224000 229376 239120 243268 244000 244265 249250 249856 250880 255232 256000 273280 279160 286720 298900 304085 312320 313600 319040 327680 341600 348950 358400 373625 382592 390400 390824 392000 398800 401408 409600 425719 427000 437248 446656 448000 458752 478240 486536 488000 488530 498500 499712 501760 510464 512000 546560 558320 573440 597800 608170 624640 627200 638080 655360 683200 697900 716800 747250 765184 780800 781648 784000 797600 802816 819200 851438 854000 872375 874496 893312 896000 917504 956480 973072 976000 977060 994009 997000 999424 1003520 1020928 1024000 1093120 1116640 1146880 1195600 1216340 1221325 1249280 1254400 1276160 1366400 1395800 1433600 1494500 1520425 1530368 1561600 1563296 1568000 1595200 1605632 1638400 1702876 1708000 1744750 1748992 1786624 1792000 1912960 1946144 1952000 1954120 1988018 1994000 1998848 2007040 2041856 2048000 2128595 2186240 2233280 2293760 2391200 2432680 2442650 2498560 2508800 2552320 2732800 2791600 2867200 2980033 2989000 3040850 3060736 3123200 3126592 3136000 3190400 3211264 3276800 3405752 3416000 3489500 3497984 3573248 3584000 3825920 3892288 3904000 3908240 3976036 3988000 3997696 4014080 4083712 4096000 4257190 4372480 4466560 4587520 4782400 4865360 4885300 4970045 4997120 5017600 5104640 5465600 5583200 5734400 5960066 5978000 6081700 6106625 6121472 6246400 6253184 6272000 6380800 6422528 6811504 6832000 6958063 6979000 6995968 7146496 7168000 7602125 7651840 7784576 7808000 7816480 7952072 7976000 7995392 8028160 8167424 8192000 8514380 8744960 8933120 9564800 9730720 9770600 9940090 9994240 10035200 10209280 10642975 10931200 11166400 11468800 11920132 11956000 12163400 12213250 12242944 12492800 12506368 12544000 12761600 13623008 13664000 13916126 13958000 13991936 14292992 14336000 14900165 15204250 15303680 15569152 15616000 15632960 15904144 15952000 16056320 16334848 16384000 17028760 17489920 17866240 19129600 19461440 19541200 19880180 19988480 20070400 20418560 21285950 21862400 22332800 22937600 23840264 23912000 24326800 24426500 24485888 24850225 24985600 25012736 25088000 25523200 27246016 27328000 27832252 27916000 27983872 28585984 28672000 29800330 30408500 30607360 31138304 31232000 31265920 31808288 31904000 32112640 32669696 34057520 34790315 34979840 35732480 38259200 38922880 39082400 39760360 39976960 40140800 40837120 42571900 43724800 44665600 47680528 47824000 48653600 48706441 48853000 48971776 49700450 49971200 50025472 50176000 51046400 53214875 54492032 54656000 55664504 55832000 55967744 57171968 57344000 59600660 60634549 60817000 61214720 62276608 62464000 62531840 63616576 63808000 65339392 68115040 69580630 69959680 71464960 74500825 76518400 77845760 78164800 79520720 80281600 81674240 85143800 87449600 89331200 95361056 95648000 97307200 97412882 97706000 97943552 99400900 99942400 100050944 100352000 102092800 106429750 108984064 109312000 111329008 111664000 114343936 114688000 119201320 121269098 121634000 122429440 124251125 124553216 124928000 125063680 127233152 127616000 130678784 136230080 139161260 139919360 142929920 149001650 153036800 155691520 156329600 159041440 160563200 163348480 170287600 173951575 174899200 178662400 190722112 191296000 194614400 194825764 195412000 195887104 198801800 199884800 200101888 200704000 204185600 212859500 217968128 218624000 222658016 223328000 228687872 238402640 242538196 243268000 243532205 244858880 248502250 249106432 249856000 250127360 254466304 255232000 272460160 278322520 279838720 285859840 298003300 303172745 306073600 311383040 312659200 318082880 326696960 340575200 347903150 349798400 357324800 372504125 381444224 382592000 389228800 389651528 390824000 391774208 397603600 400203776 401408000 408371200 424441843 425719000 435936256 437248000 445316032 446656000 457375744 476805280 485076392 486536000 487064410 489717760 497004500 498212864 499712000 500254720 508932608 510464000 544920320 556645040 571719680 596006600 606345490 612147200 622766080 625318400 636165760 653393920 681150400 695806300 699596800 714649600 745008250 762888448 765184000 778457600 779303056 781648000 795207200 800407552 802816000 816742400 848883686 851438000 869757875 871872512 874496000 890632064 893312000 914751488 953610560 970152784 973072000 974128820 979435520 994009000 996425728 999424000 1000509440 1017865216 1020928000 1089840640 1113290080 1143439360 1192013200 1212690980 1217661025 1224294400 1245532160 1250636800 1272331520 1362300800 1391612600 1399193600 1429299200 1490016500 1515863725 1525776896 1530368000 1556915200 1558606112 1563296000 1590414400 1600815104 1633484800 1697767372 1702876000 1739515750 1743745024 1748992000 1781264128 1786624000 1907221120 1940305568 1946144000 1948257640 1958871040 1988018000 1992851456 2001018880 2035730432 2041856000 2122209215 2179681280 2226580160 2286878720 2384026400 2425381960 2435322050 2448588800 2491064320 2501273600 2544663040 2724601600 2783225200 2858598400 2971092901 2980033000 3031727450 3051553792 3060736000 3113830400 3117212224 3126592000 3180828800 3201630208 3266969600 3395534744 3405752000 3479031500 3487490048 3497984000 3562528256 3573248000 3814442240 3880611136 3892288000 3896515280 3976036000 3985702912 4002037760 4071460864 4083712000 4244418430 4359362560 4453160320 4573757440 4768052800 4850763920 4870644100 4897177600 4982128640 5002547200 5089326080 5449203200 5566450400 5717196800 5942185802 5960066000 6063454900 6088305125 6103107584 6121472000 6227660800 6234424448 6253184000 6361657600 6403260416 6791069488 6811504000 6958063000 6974980096 6995968000 7125056512 7146496000 7579318625 7628884480 7761222272 7784576000 7793030560 7952072000 7971405824 8004075520 8142921728 8167424000 8488836860 8718725120 8906320640 9536105600 9701527840 9741288200 9794355200 9964257280 10005094400 10178652160 10611046075 10898406400 11132900800 11434393600 11884371604 11920132000 12126909800 12176610250 12206215168 12242944000 12455321600 12468848896 12506368000 12723315200 13582138976 13623008000 13916126000 13949960192 14250113024 14292992000 14855464505 15158637250 15257768960 15522444544 15569152000 15586061120 15904144000 16008151040 16285843456 16334848000 16977673720 17437450240 17812641280 19072211200 19403055680 19482576400 19928514560 20010188800 20357304320 21222092150 21796812800 22265801600 22868787200 23768743208 23840264000 24253819600 24353220500 24412430336 24485888000 24910643200 24937697792 25012736000 25446630400 27164277952 27246016000 27832252000 27899920384 28500226048 28585984000 29710929010 30317274500 30515537920 31044889088 31138304000 31172122240 31808288000 32016302080 32571686912 33955347440 34874900480 35625282560 38144422400 38806111360 38965152800 39857029120 40020377600 40714608640 42444184300 43593625600 44531603200 47537486416 47680528000 48507639200 48706441000 48824860672 48971776000 49821286400 49875395584 50025472000 50893260800 53055230375 54328555904 54492032000 55664504000 55799840768 57000452096 57171968000 59421858020 60634549000 61031075840 62089778176 62276608000 62344244480 63616576000 65143373824 67910694880 69749800960 71250565120 74277322525 76288844800 77612222720 77930305600 80040755200 81429217280 84888368600 87187251200 89063206400 95074972832 95361056000 97015278400 97412882000 97649721344 99642572800 99750791168 100050944000 101786521600 106110460750 108657111808 108984064000 111329008000 114000904192 114343936000 118843716040 121269098000 122062151680 124179556352 124553216000 124688488960 127233152000 130286747648 135821389760 139499601920 142501130240 148554645050 152577689600 155224445440 155860611200 160081510400 162858434560 169776737200 174374502400 178126412800 190149945664 190722112000 194030556800 194825764000 195299442688 199285145600 199501582336 200101888000 203573043200 212220921500 217314223616 217968128000 222658016000 228001808384 237687432080 242538196000 244124303360 248359112704 249106432000 249376977920 254466304000 271642779520 278999203840 285002260480 297109290100 305155379200 310448890880 311721222400 325716869120 339553474400 348749004800 356252825600 371386612625 380299891328 381444224000 388061113600 389651528000 390598885376 399003164672 400203776000 407146086400 424441843000 434628447232 435936256000 445316032000 456003616768 475374864160 485076392000 488248606720 496718225408 498212864000 498753955840 508932608000 543285559040 570004520960 594218580200 610310758400 620897781760 623442444800 651433738240 679106948800 697498009600 712505651200 742773225250 760599782656 762888448000 776122227200 779303056000 798006329344 800407552000 814292172800 848883686000 869256894464 871872512000 890632064000 912007233536 950749728320 970152784000 976497213440 993436450816 996425728000 997507911680 1017865216000 1086571118080 1140009041920 1188437160400 1220621516800 1241795563520 1246884889600 1358213897600 1394996019200 1425011302400 1485546450500 1521199565312 1525776896000 1552244454400 1558606112000 1596012658688 1628584345600 1697767372000 1738513788928 1743745024000 1781264128000 1901499456640 1940305568000 1952994426880 1986872901632 1995015823360 2035730432000 2173142236160 2280018083840 2376874320800 2441243033600 2483591127040 2493769779200 2716427795200 2850022604800 2971092901000 3042399130624 3051553792000 3104488908800 3117212224000 3192025317376 3257168691200 3395534744000 3477027577856 3487490048000 3562528256000 3802998913280 3880611136000 3973745803264 3990031646720 4071460864000 4346284472320 4560036167680 4753748641600 4882486067200 4967182254080 4987539558400 5432855590400 5700045209600 5942185802000 6084798261248 6103107584000 6208977817600 6234424448000 6384050634752 6791069488000 6954055155712 6974980096000 7125056512000 7605997826560 7761222272000 7947491606528 7980063293440 8142921728000 8692568944640 9507497283200 9764972134400 9934364508160 9975079116800 10865711180800 11400090419200 11884371604000 12169596522496 12206215168000 12417955635200 12468848896000 13582138976000 13908110311424 14250113024000 15211995653120 15522444544000 15960126586880 16285843456000 17385137889280 19014994566400 19868729016320 19950158233600 21731422361600 22800180838400 23768743208000 24339193044992 24412430336000 24835911270400 24937697792000 27164277952000 27816220622848 28500226048000 30423991306240 31044889088000 31920253173760 34770275778560 38029989132800 39737458032640 39900316467200 43462844723200 47537486416000 48678386089984 48824860672000 49671822540800 49875395584000 54328555904000 55632441245696 57000452096000 60847982612480 62089778176000 69540551557120 76059978265600 79800632934400 86925689446400 95074972832000 97356772179968 99343645081600 99750791168000 108657111808000 114000904192000 121695965224960 124179556352000 139081103114240 152119956531200 159601265868800 173851378892800 190149945664000 194713544359936 198687290163200 199501582336000 217314223616000 243391930449920 248359112704000 278162206228480 304239913062400 347702757785600 380299891328000 389427088719872 399003164672000 434628447232000 486783860899840 496718225408000 608479826124800 695405515571200 760599782656000 798006329344000 869256894464000 973567721799680 993436450816000 1216959652249600 1390811031142400 1521199565312000 1738513788928000 1947135443599360 2433919304499200 3042399130624000 3477027577856000 4867838608998400 6084798261248000 6954055155712000 9735677217996800 12169596522496000 24339193044992000 48678386089984000
- Sum of all divisors σ(n): 143798893693031304
- Sum of proper divisors (its aliquot sum) s(n): 95120507603047304
- 48678386089984000 is an abundant number, because the sum of its proper divisors (95120507603047304) is greater than itself. Its abundance is 46442121513063304
Bases of 48678386089984000
- Binary: 101011001111000010111011111101110010001000000000000000002
- Hexadecimal: 0xACF0BBF7220000
- Base-36: DBB1PUNAJGG
Squares and roots of 48678386089984000
- 48678386089984000 squared (486783860899840002) is 2369585272325547779745120256000000
- 48678386089984000 cubed (486783860899840003) is 115347586759402893628818036850571717115904000000000
-
The
square root of 48678386089984000 is 220631788.4847602827 -
The
cube root of 48678386089984000 is 365128.2118920363
Scales and comparisons
How big is 48678386089984000?- 48,678,386,089,984,000 seconds is equal to 1,547,822,105 years, 27 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 48,678,386,089,984,000 would take you about four billion, six hundred forty-three million, four hundred sixty-six thousand, three hundred sixteen 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 48678386089984000 cubic inches would be around 30427.4 feet tall.
Recreational maths with 48678386089984000
- 48678386089984000 backwards is 00048998068387684
- The number of decimal digits it has is: 17
- The sum of 48678386089984000's digits is 88
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 48678386089984000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 48678386089984000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/48678386089984000/
Chicago style:
Numbermatics. 2024. "Number 48678386089984000 - Facts about the integer". https://numbermatics.com/n/48678386089984000/
The information we have on file for 48678386089984000 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 48678386089984000, math, Factors of 48678386089984000, curriculum, school, college, exams, university, Prime factorization of 48678386089984000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, six hundred seventy-eight trillion, three hundred eighty-six billion, eighty-nine million, nine hundred eighty-four thousand.