48213754666848000
48,213,754,666,848,000 is an even composite number composed of six prime numbers multiplied together.
48213754666848000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 48213754666848000:
28 × 32 × 53 × 31 × 61 × 974
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 31 × 61 × 97 × 97 × 97 × 97)See below for interesting mathematical facts about the number 48213754666848000 from the Numbermatics database.
Names of 48213754666848000
- Cardinal: 48213754666848000 can be written as Forty-eight quadrillion, two hundred thirteen trillion, seven hundred fifty-four billion, six hundred sixty-six million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.8213754666848 × 1016
Factors of 48213754666848000
Divisors of 48213754666848000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 61 62 64 72 75 80 90 93 96 97 100 120 122 124 125 128 144 150 155 160 180 183 186 192 194 200 225 240 244 248 250 256 279 288 291 300 305 310 320 360 366 372 375 384 388 400 450 465 480 485 488 496 500 549 558 576 582 600 610 620 640 720 732 744 750 768 775 776 800 873 900 915 930 960 970 976 992 1000 1098 1116 1125 1152 1164 1200 1220 1240 1280 1395 1440 1455 1464 1488 1500 1525 1550 1552 1600 1746 1800 1830 1860 1891 1920 1940 1952 1984 2000 2196 2232 2250 2304 2325 2328 2400 2425 2440 2480 2745 2790 2880 2910 2928 2976 3000 3007 3050 3100 3104 3200 3492 3600 3660 3720 3782 3840 3875 3880 3904 3968 4000 4365 4392 4464 4500 4575 4650 4656 4800 4850 4880 4960 5490 5580 5673 5760 5820 5856 5917 5952 6000 6014 6100 6200 6208 6400 6975 6984 7200 7275 7320 7440 7564 7625 7750 7760 7808 7936 8000 8730 8784 8928 9000 9021 9150 9300 9312 9409 9455 9600 9700 9760 9920 10980 11160 11346 11520 11625 11640 11712 11834 11904 12000 12028 12125 12200 12400 12416 13725 13950 13968 14400 14550 14640 14880 15035 15128 15250 15500 15520 15616 16000 17019 17460 17568 17751 17856 18000 18042 18300 18600 18624 18818 18910 19200 19400 19520 19840 21825 21960 22320 22692 22875 23250 23280 23424 23668 23808 24000 24056 24250 24400 24800 24832 27063 27450 27900 27936 28227 28365 28800 29100 29280 29585 29760 30070 30256 30500 31000 31040 32000 34038 34875 34920 35136 35502 35712 36000 36084 36375 36600 37200 37248 37636 37820 38800 39040 39680 43650 43920 44640 45105 45384 45750 46500 46560 46848 47045 47275 47336 48000 48112 48500 48800 49600 53253 54126 54900 55800 55872 56454 56730 57600 58200 58560 59170 59520 60140 60512 61000 62000 62080 68076 68625 69750 69840 70272 71004 71424 72000 72168 72750 73200 74400 74496 75175 75272 75640 77600 78080 84681 85095 87300 87840 88755 89280 90210 90768 91500 93000 93120 94090 94550 94672 96000 96224 97000 97600 99200 106506 108252 109125 109800 111600 111744 112908 113460 116400 117120 118340 119040 120280 121024 122000 124000 124160 135315 136152 137250 139500 139680 140544 141135 141825 142008 144000 144336 145500 146400 147925 148800 150350 150544 151280 155200 169362 170190 174600 175680 177510 178560 180420 181536 183000 183427 186000 186240 188180 189100 189344 192448 194000 195200 198400 213012 216504 218250 219600 223200 223488 225525 225816 226920 232800 234240 235225 236375 236680 240560 242048 244000 248000 266265 270630 272304 274500 279000 279360 282270 283650 284016 288000 288672 291000 291679 292800 295850 297600 300700 301088 302560 310400 338724 340380 349200 351360 355020 357120 360840 363072 366000 366854 372000 372480 375875 376360 378200 378688 384896 388000 390400 423405 425475 426024 433008 436500 439200 443775 446400 451050 451632 453840 465600 470450 472750 473360 481120 484096 488000 496000 532530 541260 544608 549000 550281 558000 558720 564540 567300 568032 573949 577344 582000 583358 585600 591700 595200 601400 602176 605120 620800 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4939933879800 4970490171840 5022266111130 5099286585600 5124216672000 5177593929000 5184274695360 5269262805120 5344613088000 5357083851872 5400286141000 5488815422000 5522766857600 6026719333356 6075321908625 6174917349750 6213112714800 6221129634432 6323115366144 6374108232000 6480343369200 6586578506400 6627320229120 6696354814840 6903458572000 6912366260480 7533399166695 7766390893500 7776412043040 7903894207680 8016919632000 8035625777808 8100429211500 8148344544000 8233223133000 8284150286400 8370443518550 8498810976000 8640457825600 8782104675200 9720515053800 9879867759600 9940980343680 10044532222260 10355187858000 10368549390720 10538525610240 10714167703744 10800572282000 10977630844000 11045533715200 12053438666712 12150643817250 12349834699500 12426225429600 12442259268864 12555665277825 12748216464000 12960686738400 13173157012800 13392709629680 13806917144000 15066798333390 15532781787000 15552824086080 15807788415360 16033839264000 16071251555616 16200858423000 16466446266000 16568300572800 16740887037100 17280915651200 17564209350400 19441030107600 19759735519200 19881960687360 20089064444520 20710375716000 20737098781440 20926108796375 21428335407488 21601144564000 21955261688000 24106877333424 24301287634500 24699669399000 24852450859200 25111330555650 25496432928000 25921373476800 26346314025600 26785419259360 27613834288000 30133596666780 31065563574000 31105648172160 31615576830720 32142503111232 32401716846000 32932892532000 33136601145600 33481774074200 34561831302400 37666995833475 38882060215200 39519471038400 40178128889040 41420751432000 41852217592750 42856670814976 43202289128000 43910523376000 48213754666848 48602575269000 49399338798000 49704901718400 50222661111300 51842746953600 52692628051200 53570838518720 55227668576000 60267193333560 62131127148000 62211296344320 62778326389125 64285006222464 64803433692000 65865785064000 66963548148400 75333991666950 77764120430400 79038942076800 80356257778080 82841502864000 83704435185500 86404578256000 87821046752000 96427509333696 97205150538000 98798677596000 99409803436800 100445322222600 103685493907200 107141677037440 120534386667120 124262254296000 125556652778250 128570012444928 129606867384000 131731570128000 133927096296800 150667983333900 155528240860800 158077884153600 160712515556160 165683005728000 167408870371000 172809156512000 188334979167375 192855018667392 194410301076000 197597355192000 200890644445200 214283354074880 241068773334240 248524508592000 251113305556500 259213734768000 263463140256000 267854192593600 301335966667800 311056481721600 321425031112320 334817740742000 376669958334750 385710037334784 388820602152000 395194710384000 401781288890400 482137546668480 497049017184000 502226611113000 518427469536000 535708385187200 602671933335600 642850062224640 669635481484000 753339916669500 777641204304000 790389420768000 803562577780800 964275093336960 1004453222226000 1071416770374400 1205343866671200 1339270962968000 1506679833339000 1555282408608000 1607125155561600 1928550186673920 2008906444452000 2410687733342400 2678541925936000 3013359666678000 3214250311123200 4017812888904000 4821375466684800 5357083851872000 6026719333356000 8035625777808000 9642750933369600 12053438666712000 16071251555616000 24106877333424000 48213754666848000
- Sum of all divisors σ(n): 183915341057640192
- Sum of proper divisors (its aliquot sum) s(n): 135701586390792192
- 48213754666848000 is an abundant number, because the sum of its proper divisors (135701586390792192) is greater than itself. Its abundance is 87487831723944192
Bases of 48213754666848000
- Binary: 101010110100101000100111100010000011010010001111000000002
- Hexadecimal: 0xAB4A2788348F00
- Base-36: D6QCL4EDVK0
Squares and roots of 48213754666848000
- 48213754666848000 squared (482137546668480002) is 2324566139075007299470255104000000
- 48213754666848000 cubed (482137546668480003) is 112076061536224470194753677538641091592192000000000
-
The
square root of 48213754666848000 is 219576307.1618793759 -
The
cube root of 48213754666848000 is 363962.7892033695
Scales and comparisons
How big is 48213754666848000?- 48,213,754,666,848,000 seconds is equal to 1,533,048,263 years, 24 weeks, 3 days, 8 hours.
-
To count from 1 to 48,213,754,666,848,000 would take you about four billion, five hundred ninety-nine million, one hundred forty-four thousand, seven hundred ninety 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 48213754666848000 cubic inches would be around 30330.2 feet tall.
Recreational maths with 48213754666848000
- 48213754666848000 backwards is 00084866645731284
- 48213754666848000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48213754666848000's digits is 72
- More coming soon!
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Numbermatics. (2024). Number 48213754666848000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/48213754666848000/
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The information we have on file for 48213754666848000 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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