48381813587968000
48,381,813,587,968,000 is an even composite number composed of five prime numbers multiplied together.
48381813587968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 48381813587968000:
223 × 53 × 7 × 193 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 19 × 19 × 19 × 31 × 31)See below for interesting mathematical facts about the number 48381813587968000 from the Numbermatics database.
Names of 48381813587968000
- Cardinal: 48381813587968000 can be written as Forty-eight quadrillion, three hundred eighty-one trillion, eight hundred thirteen billion, five hundred eighty-seven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.8381813587968 × 1016
Factors of 48381813587968000
Divisors of 48381813587968000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 31 32 35 38 40 50 56 62 64 70 76 80 95 100 112 124 125 128 133 140 152 155 160 175 190 200 217 224 248 250 256 266 280 304 310 320 350 361 380 400 434 448 475 496 500 512 532 560 589 608 620 640 665 700 722 760 775 800 868 875 896 950 961 992 1000 1024 1064 1085 1120 1178 1216 1240 1280 1330 1400 1444 1520 1550 1600 1736 1750 1792 1805 1900 1922 1984 2000 2048 2128 2170 2240 2356 2375 2432 2480 2527 2560 2660 2800 2888 2945 3040 3100 3200 3325 3472 3500 3584 3610 3800 3844 3875 3968 4000 4096 4123 4256 4340 4480 4712 4750 4805 4864 4960 5054 5120 5320 5425 5600 5776 5890 6080 6200 6400 6650 6727 6859 6944 7000 7168 7220 7600 7688 7750 7936 8000 8192 8246 8512 8680 8960 9025 9424 9500 9610 9728 9920 10108 10240 10640 10850 11191 11200 11552 11780 12160 12400 12635 12800 13300 13454 13718 13888 14000 14336 14440 14725 15200 15376 15500 15872 16000 16384 16492 16625 17024 17360 17920 18050 18259 18848 19000 19220 19456 19840 20216 20480 20615 21280 21700 22382 22400 23104 23560 24025 24320 24800 25270 25600 26600 26908 27125 27436 27776 28000 28672 28880 29450 30400 30752 31000 31744 32000 32768 32984 33250 33635 34048 34295 34720 35840 36100 36518 37696 38000 38440 38912 39680 40432 40960 41230 42560 43400 44764 44800 45125 46208 47120 48013 48050 48640 49600 50540 51200 53200 53816 54250 54872 55552 55955 56000 57344 57760 58900 60800 61504 62000 63175 63488 64000 65536 65968 66500 67270 68096 68590 69440 71680 72200 73036 73625 75392 76000 76880 77824 78337 79360 80864 81920 82460 85120 86800 89528 89600 90250 91295 92416 94240 96026 96100 97280 99200 101080 102400 103075 106400 107632 108500 109744 111104 111910 112000 114688 115520 117800 120125 121600 123008 124000 126350 126976 127813 128000 131072 131936 133000 134540 136192 137180 138880 143360 144400 146072 147250 150784 152000 153760 155648 156674 158720 161728 163840 164920 168175 170240 171475 173600 179056 179200 180500 182590 184832 188480 192052 192200 194560 198400 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3978767564800 4107114905600 4188176384000 4319804784640 4323278848000 4459153326080 4547162931200 4724786483200 4786487296000 4877198950400 4973459456000 5034527948800 5092822482944 5133893632000 5360865771520 5399755980800 5573941657600 5683953664000 5867307008000 5905983104000 6047726698496 6096498688000 6242814656512 6293159936000 6366028103680 6701082214400 6749694976000 6911687655424 6967427072000 7053770752000 7192182784000 7275460689920 7559658373120 7803518320640 7957535129600 8214229811200 8376352768000 8639609569280 8918306652160 9094325862400 9449572966400 9572974592000 9754397900800 9946918912000 10069055897600 10185644965888 10267787264000 10799511961600 11147883315200 11367907328000 11734614016000 11811966208000 12095453396992 12192997376000 12485629313024 12586319872000 12732056207360 13402164428800 13499389952000 13823375310848 13934854144000 14550921379840 15119316746240 15607036641280 15915070259200 16428459622400 16752705536000 17279219138560 18188651724800 18899145932800 19145949184000 19508795801600 19893837824000 20371289931776 20535574528000 21599023923200 22295766630400 22735814656000 23623932416000 24190906793984 24385994752000 25172639744000 25464112414720 26804328857600 26998779904000 27646750621696 27869708288000 30238633492480 31214073282560 31830140518400 33505411072000 34558438277120 36377303449600 37798291865600 39017591603200 39787675648000 41071149056000 43198047846400 44591533260800 45471629312000 47247864832000 48381813587968 48771989504000 50345279488000 50928224829440 53997559808000 55293501243392 55739416576000 60477266984960 62428146565120 63660281036800 67010822144000 69116876554240 72754606899200 75596583731200 78035183206400 79575351296000 82142298112000 86396095692800 90943258624000 94495729664000 96763627175936 97543979008000 101856449658880 107995119616000 111478833152000 120954533969920 127320562073600 134021644288000 138233753108480 151193167462400 156070366412800 159150702592000 172792191385600 181886517248000 188991459328000 193527254351872 195087958016000 215990239232000 222957666304000 241909067939840 254641124147200 276467506216960 302386334924800 312140732825600 318301405184000 345584382771200 363773034496000 377982918656000 387054508703744 390175916032000 431980478464000 483818135879680 509282248294400 604772669849600 636602810368000 691168765542400 755965837312000 780351832064000 863960956928000 967636271759360 1209545339699200 1273205620736000 1382337531084800 1511931674624000 1560703664128000 1727921913856000 1935272543518720 2419090679398400 2546411241472000 3023863349248000 3455843827712000 4838181358796800 6047726698496000 6911687655424000 9676362717593600 12095453396992000 24190906793984000 48381813587968000
- Sum of all divisors σ(n): 150529725645062400
- Sum of proper divisors (its aliquot sum) s(n): 102147912057094400
- 48381813587968000 is an abundant number, because the sum of its proper divisors (102147912057094400) is greater than itself. Its abundance is 53766098469126400
Bases of 48381813587968000
- Binary: 101010111110001100000000110011001000000000000000000000002
- Hexadecimal: 0xABE300CC800000
- Base-36: D8DX6BOV8CG
Squares and roots of 48381813587968000
- 48381813587968000 squared (483818135879680002) is 2340799886060884997674369024000000
- 48381813587968000 cubed (483818135879680003) is 113252143734134471979433187324763918303232000000000
-
The
square root of 48381813587968000 is 219958663.3619326211 -
The
cube root of 48381813587968000 is 364385.1877571289
Scales and comparisons
How big is 48381813587968000?- 48,381,813,587,968,000 seconds is equal to 1,538,392,017 years, 16 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 48,381,813,587,968,000 would take you about four billion, six hundred fifteen million, one hundred seventy-six thousand and fifty-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 48381813587968000 cubic inches would be around 30365.4 feet tall.
Recreational maths with 48381813587968000
- 48381813587968000 backwards is 00086978531818384
- The number of decimal digits it has is: 17
- The sum of 48381813587968000's digits is 79
- More coming soon!
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"Number 48381813587968000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 48381813587968000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/48381813587968000/
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The information we have on file for 48381813587968000 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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