48242836963328000
48,242,836,963,328,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 48242836963328000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
48242836963328000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 48242836963328000:
219 × 53 × 7 × 4192 × 599
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 419 × 419 × 599)See below for interesting mathematical facts about the number 48242836963328000 from the Numbermatics database.
Names of 48242836963328000
- Cardinal: 48242836963328000 can be written as Forty-eight quadrillion, two hundred forty-two trillion, eight hundred thirty-six billion, nine hundred sixty-three million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.8242836963328 × 1016
Factors of 48242836963328000
Divisors of 48242836963328000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 419 448 500 512 560 599 640 700 800 838 875 896 1000 1024 1120 1198 1280 1400 1600 1676 1750 1792 2000 2048 2095 2240 2396 2560 2800 2933 2995 3200 3352 3500 3584 4000 4096 4190 4193 4480 4792 5120 5600 5866 5990 6400 6704 7000 7168 8000 8192 8380 8386 8960 9584 10240 10475 11200 11732 11980 12800 13408 14000 14336 14665 14975 16000 16384 16760 16772 17920 19168 20480 20950 20965 22400 23464 23960 25600 26816 28000 28672 29330 29950 32000 32768 33520 33544 35840 38336 40960 41900 41930 44800 46928 47920 51200 52375 53632 56000 57344 58660 59900 64000 65536 67040 67088 71680 73325 74875 76672 81920 83800 83860 89600 93856 95840 102400 104750 104825 107264 112000 114688 117320 119800 128000 131072 134080 134176 143360 146650 149750 153344 163840 167600 167720 175561 179200 187712 191680 204800 209500 209650 214528 224000 229376 234640 239600 250981 256000 262144 268160 268352 286720 293300 299500 306688 327680 335200 335440 351122 358400 366625 375424 383360 409600 419000 419300 429056 448000 458752 469280 479200 501962 512000 524125 524288 536320 536704 573440 586600 599000 613376 655360 670400 670880 702244 716800 733250 750848 766720 819200 838000 838600 858112 877805 896000 917504 938560 958400 1003924 1024000 1048250 1072640 1073408 1146880 1173200 1198000 1226752 1228927 1254905 1310720 1340800 1341760 1404488 1433600 1466500 1501696 1533440 1638400 1676000 1677200 1716224 1755610 1756867 1792000 1835008 1877120 1916800 2007848 2048000 2096500 2145280 2146816 2293760 2346400 2396000 2453504 2457854 2509810 2621440 2681600 2683520 2808976 2867200 2933000 3003392 3066880 3276800 3352000 3354400 3432448 3511220 3513734 3584000 3670016 3754240 3833600 4015696 4096000 4193000 4290560 4293632 4389025 4587520 4692800 4792000 4907008 4915708 5019620 5363200 5367040 5617952 5734400 5866000 6006784 6133760 6144635 6274525 6553600 6704000 6708800 6864896 7022440 7027468 7168000 7508480 7667200 8031392 8192000 8386000 8581120 8587264 8778050 8784335 9175040 9385600 9584000 9814016 9831416 10039240 10726400 10734080 11235904 11468800 11732000 12013568 12267520 12289270 12549050 13107200 13408000 13417600 13729792 14044880 14054936 14336000 15016960 15334400 16062784 16384000 16772000 17162240 17174528 17556100 17568670 18350080 18771200 19168000 19628032 19662832 20078480 21452800 21468160 21945125 22471808 22937600 23464000 24027136 24535040 24578540 25098100 26816000 26835200 27459584 28089760 28109872 28672000 30033920 30668800 30723175 31372625 32125568 32768000 33544000 34324480 34349056 35112200 35137340 37542400 38336000 39256064 39325664 40156960 42905600 42936320 43890250 43921675 44943616 45875200 46928000 48054272 49070080 49157080 50196200 53632000 53670400 54919168 56179520 56219744 57344000 60067840 61337600 61446350 62745250 64251136 65536000 67088000 68648960 68698112 70224400 70274680 75084800 76672000 78512128 78651328 80313920 85811200 85872640 87780500 87843350 89887232 91750400 93856000 96108544 98140160 98314160 100392400 105161039 107264000 107340800 109838336 112359040 112439488 114688000 120135680 122675200 122892700 125490500 128502272 134176000 137297920 137396224 140448800 140549360 150169600 153344000 153615875 157024256 157302656 160627840 171622400 171745280 175561000 175686700 179774464 187712000 192217088 196280320 196628320 200784800 210322078 214528000 214681600 219608375 219676672 224718080 224878976 229376000 240271360 245350400 245785400 250981000 257004544 268352000 274595840 274792448 280897600 281098720 300339200 306688000 307231750 314048512 314605312 321255680 343244800 343490560 351122000 351373400 359548928 375424000 384434176 392560640 393256640 401569600 420644156 429056000 429363200 439216750 449436160 449757952 458752000 480542720 490700800 491570800 501962000 514009088 525805195 536704000 549191680 549584896 561795200 562197440 600678400 613376000 614463500 629210624 642511360 686489600 686981120 702244000 702746800 719097856 736127273 750848000 768868352 785121280 786513280 803139200 841288312 858112000 858726400 878433500 898872320 899515904 961085440 981401600 983141600 1003924000 1028018176 1051610390 1073408000 1098383360 1099169792 1123590400 1124394880 1201356800 1226752000 1228927000 1258421248 1285022720 1372979200 1373962240 1404488000 1405493600 1438195712 1472254546 1501696000 1537736704 1570242560 1573026560 1606278400 1682576624 1716224000 1717452800 1756867000 1797744640 1799031808 1922170880 1962803200 1966283200 2007848000 2056036352 2103220780 2146816000 2198339584 2247180800 2248789760 2402713600 2453504000 2457854000 2516842496 2570045440 2629025975 2745958400 2747924480 2808976000 2810987200 2876391424 2944509092 3003392000 3146053120 3212556800 3365153248 3432448000 3434905600 3513734000 3595489280 3598063616 3680636365 3844341760 3925606400 3932566400 4015696000 4112072704 4206441560 4293632000 4494361600 4497579520 4805427200 4907008000 4915708000 5033684992 5140090880 5258051950 5491916800 5495848960 5617952000 5621974400 5752782848 5889018184 6006784000 6292106240 6425113600 6730306496 6864896000 6869811200 7027468000 7190978560 7196127232 7361272730 7688683520 7851212800 7865132800 8031392000 8224145408 8412883120 8587264000 8988723200 8995159040 9610854400 9814016000 9831416000 10067369984 10280181760 10516103900 10991697920 11235904000 11243948800 11505565696 11778036368 12013568000 12584212480 12850227200 13145129875 13460612992 13729792000 13739622400 14054936000 14381957120 14392254464 14722545460 15730265600 16062784000 16448290816 16825766240 17174528000 17977446400 17990318080 18403181825 19221708800 19628032000 19662832000 20134739968 20560363520 21032207800 22471808000 22487897600 23011131392 23556072736 24027136000 25168424960 25700454400 26290259750 26921225984 27459584000 27479244800 28109872000 28763914240 28784508928 29445090920 31460531200 32125568000 32896581632 33651532480 34349056000 35954892800 35980636160 36806363650 38443417600 39256064000 39325664000 40269479936 41120727040 42064415600 44943616000 44975795200 46022262784 47112145472 48054272000 50336849920 51400908800 52580519500 53842451968 54958489600 56219744000 57527828480 57569017856 58890181840 62921062400 64251136000 65793163264 67303064960 68698112000 71909785600 71961272320 73612727300 78651328000 80538959872 82241454080 84128831200 89887232000 89951590400 92015909125 92044525568 94224290944 96108544000 100673699840 102801817600 105161039000 107684903936 112439488000 115055656960 115138035712 117780363680 125842124800 128502272000 131586326528 134606129920 137396224000 143819571200 143922544640 147225454600 157302656000 161077919744 164482908160 168257662400 179774464000 179903180800 184031818250 188448581888 192217088000 201347399680 205603635200 210322078000 215369807872 224878976000 230111313920 230276071424 235560727360 251684249600 257004544000 269212259840 274792448000 287639142400 287845089280 294450909200 314605312000 322155839488 328965816320 336515324800 359548928000 359806361600 368063636500 376897163776 402694799360 411207270400 420644156000 430739615744 449757952000 460222627840 460552142848 471121454720 503368499200 514009088000 538424519680 575278284800 575690178560 588901818400 629210624000 644311678976 657931632640 673030649600 719097856000 719612723200 736127273000 753794327552 805389598720 822414540800 841288312000 861479231488 899515904000 921104285696 942242909440 1006736998400 1028018176000 1076849039360 1150556569600 1151380357120 1177803636800 1258421248000 1346061299200 1438195712000 1439225446400 1472254546000 1507588655104 1610779197440 1644829081600 1682576624000 1722958462976 1799031808000 1884485818880 2013473996800 2056036352000 2153698078720 2301113139200 2302760714240 2355607273600 2516842496000 2692122598400 2876391424000 2878450892800 2944509092000 3015177310208 3221558394880 3289658163200 3365153248000 3445916925952 3598063616000 3768971637760 4026947993600 4112072704000 4307396157440 4605521428480 4711214547200 5033684992000 5384245196800 5752782848000 5756901785600 5889018184000 6030354620416 6730306496000 6891833851904 7196127232000 7537943275520 8053895987200 8224145408000 8614792314880 9422429094400 10067369984000 10768490393600 11505565696000 11513803571200 11778036368000 12060709240832 13460612992000 13783667703808 14392254464000 15075886551040 16107791974400 16448290816000 17229584629760 18844858188800 20134739968000 21536980787200 23027607142400 23556072736000 24121418481664 26921225984000 27567335407616 28784508928000 30151773102080 34459169259520 37689716377600 40269479936000 43073961574400 47112145472000 48242836963328 53842451968000 55134670815232 57569017856000 60303546204160 68918338519040 75379432755200 80538959872000 86147923148800 94224290944000 96485673926656 107684903936000 115138035712000 120607092408320 137836677038080 150758865510400 172295846297600 188448581888000 192971347853312 215369807872000 241214184816640 275673354076160 301517731020800 344591692595200 376897163776000 385942695706624 430739615744000 482428369633280 603035462041600 689183385190400 753794327552000 861479231488000 964856739266560 1206070924083200 1378366770380800 1507588655104000 1722958462976000 1929713478533120 2412141848166400 3015177310208000 3445916925952000 4824283696332800 6030354620416000 6891833851904000 9648567392665600 12060709240832000 24121418481664000 48242836963328000
- Sum of all divisors σ(n): 138175522673760000
- Sum of proper divisors (its aliquot sum) s(n): 89932685710432000
- 48242836963328000 is an abundant number, because the sum of its proper divisors (89932685710432000) is greater than itself. Its abundance is 41689848747104000
Bases of 48242836963328000
- Binary: 101010110110010010011010110010000010100000000000000000002
- Hexadecimal: 0xAB649AC8280000
- Base-36: D70NPCETRSW
Squares and roots of 48242836963328000
- 48242836963328000 squared (482428369633280002) is 2327371318270246364416835584000000
- 48242836963328000 cubed (482428369633280003) is 112278995060437256324797524458817613463552000000000
-
The
square root of 48242836963328000 is 219642520.8454137189 -
The
cube root of 48242836963328000 is 364035.9546743825
Scales and comparisons
How big is 48242836963328000?- 48,242,836,963,328,000 seconds is equal to 1,533,972,990 years, 28 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 48,242,836,963,328,000 would take you about four billion, six hundred one million, nine hundred eighteen thousand, nine hundred seventy-one 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 48242836963328000 cubic inches would be around 30336.3 feet tall.
Recreational maths with 48242836963328000
- 48242836963328000 backwards is 00082336963824284
- The number of decimal digits it has is: 17
- The sum of 48242836963328000's digits is 68
- More coming soon!
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The information we have on file for 48242836963328000 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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