48536468725248000
48,536,468,725,248,000 is an even composite number composed of seven prime numbers multiplied together.
48536468725248000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, three hundred twenty-eight divisors.
Prime factorization of 48536468725248000:
212 × 33 × 53 × 7 × 61 × 421 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 61 × 421 × 19531)See below for interesting mathematical facts about the number 48536468725248000 from the Numbermatics database.
Names of 48536468725248000
- Cardinal: 48536468725248000 can be written as Forty-eight quadrillion, five hundred thirty-six trillion, four hundred sixty-eight billion, seven hundred twenty-five million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.8536468725248 × 1016
Factors of 48536468725248000
Divisors of 48536468725248000
- Number of divisors d(n): 3328
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 61 63 64 70 72 75 80 84 90 96 100 105 108 112 120 122 125 126 128 135 140 144 150 160 168 175 180 183 189 192 200 210 216 224 225 240 244 250 252 256 270 280 288 300 305 315 320 336 350 360 366 375 378 384 400 420 421 427 432 448 450 480 488 500 504 512 525 540 549 560 576 600 610 630 640 672 675 700 720 732 750 756 768 800 840 842 854 864 875 896 900 915 945 960 976 1000 1008 1024 1050 1080 1098 1120 1125 1152 1200 1220 1260 1263 1280 1281 1344 1350 1400 1440 1464 1500 1512 1525 1536 1575 1600 1647 1680 1684 1708 1728 1750 1792 1800 1830 1890 1920 1952 2000 2016 2048 2100 2105 2135 2160 2196 2240 2250 2304 2400 2440 2520 2526 2560 2562 2625 2688 2700 2745 2800 2880 2928 2947 3000 3024 3050 3072 3150 3200 3294 3360 3368 3375 3416 3456 3500 3584 3600 3660 3780 3789 3840 3843 3904 4000 4032 4096 4200 4210 4270 4320 4392 4480 4500 4575 4608 4725 4800 4880 5040 5052 5120 5124 5250 5376 5400 5490 5600 5760 5856 5894 6000 6048 6100 6144 6300 6315 6400 6405 6588 6720 6736 6750 6832 6912 7000 7168 7200 7320 7560 7578 7625 7680 7686 7808 7875 8000 8064 8235 8400 8420 8540 8640 8784 8841 8960 9000 9150 9216 9450 9600 9760 10080 10104 10240 10248 10500 10525 10675 10752 10800 10980 11200 11367 11520 11529 11712 11788 12000 12096 12200 12288 12600 12630 12800 12810 13176 13440 13472 13500 13664 13725 13824 14000 14336 14400 14640 14735 15120 15156 15250 15360 15372 15616 15750 16000 16128 16470 16800 16840 17080 17280 17568 17682 17920 18000 18300 18432 18900 18945 19200 19215 19520 19531 20160 20208 20480 20496 21000 21050 21350 21504 21600 21960 22400 22734 22875 23040 23058 23424 23576 23625 24000 24192 24400 25200 25260 25600 25620 25681 26352 26523 26880 26944 27000 27328 27450 27648 28000 28672 28800 29280 29470 30240 30312 30500 30720 30744 31232 31500 31575 32000 32025 32256 32940 33600 33680 34160 34560 35136 35364 35840 36000 36600 36864 37800 37890 38400 38430 39040 39062 40320 40416 40992 41175 42000 42100 42700 43008 43200 43920 44205 44800 45468 45750 46080 46116 46848 47152 47250 48000 48384 48800 50400 50520 51200 51240 51362 52625 52704 53046 53375 53760 53888 54000 54656 54900 55296 56000 56835 57600 57645 58560 58593 58940 60480 60624 61000 61440 61488 62464 63000 63150 64000 64050 64512 65880 67200 67360 68320 68625 69120 70272 70728 71680 72000 73200 73675 75600 75780 76800 76860 77043 78080 78124 79569 80640 80832 81984 82350 84000 84200 85400 86016 86400 87840 88410 89600 90936 91500 92160 92232 93696 94304 94500 94725 96000 96075 96768 97600 97655 100800 101040 102400 102480 102724 105250 105408 106092 106750 107520 107776 108000 109312 109800 110592 112000 113670 115200 115290 117120 117186 117880 120960 121248 122000 122976 124928 126000 126300 128000 128100 128405 129024 131760 132615 134400 134720 136640 136717 137250 138240 140544 141456 143360 144000 146400 147350 151200 151560 153600 153720 154086 156160 156248 157875 159138 160125 161280 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19891995379200 20223528635520 21066175662000 21571763877888 21668066395200 22102217088000 22470587372800 22733709004800 23057704857600 23112604154880 23699447619750 24075629328000 24268234362624 24864994224000 25279410794400 25680671283200 26522660505600 26964704847360 27085082994000 27735124985856 28088234216000 28417136256000 28822131072000 28890755193600 29469622784000 30335292953280 30816805539840 31599263493000 31827192606720 32100839104000 32357645816832 33153325632000 33705881059200 34668906232320 35952939796480 36113443992000 37889515008000 37919116191600 38429508096000 38521006924800 39783990758400 40447057271040 42132351324000 43143527755776 43336132790400 44204434176000 44941174745600 46225208309760 47398895239500 48151258656000 48536468725248 49729988448000 50558821588800 51361342566400 53045321011200 53929409694720 54170165988000 55470249971712 56176468432000 56834272512000 57644262144000 57781510387200 60670585906560 63198526986000 64201678208000 64715291633664 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388291749801984 397839907584000 404470572710400 433361327904000 449411747456000 462252083097600 485364687252480 505588215888000 539294096947200 577815103872000 606705859065600 647152916336640 674117621184000 693378124646400 758382323832000 770420138496000 795679815168000 808941145420800 866722655808000 898823494912000 970729374504960 1011176431776000 1078588193894400 1155630207744000 1213411718131200 1348235242368000 1386756249292800 1516764647664000 1617882290841600 1733445311616000 1797646989824000 1941458749009920 2022352863552000 2311260415488000 2426823436262400 2696470484736000 3033529295328000 3235764581683200 3466890623232000 4044705727104000 4853646872524800 5392940969472000 6067058590656000 6933781246464000 8089411454208000 9707293745049600 12134117181312000 16178822908416000 24268234362624000 48536468725248000
- Sum of all divisors σ(n): 208959614641090560
- Sum of proper divisors (its aliquot sum) s(n): 160423145915842560
- 48536468725248000 is an abundant number, because the sum of its proper divisors (160423145915842560) is greater than itself. Its abundance is 111886677190594560
Bases of 48536468725248000
- Binary: 101011000110111110101001010000010000010100110000000000002
- Hexadecimal: 0xAC6FA941053000
- Base-36: D9WQPWWIYO0
Squares and roots of 48536468725248000
- 48536468725248000 squared (485364687252480002) is 2355788796316977214112661504000000
- 48536468725248000 cubed (485364687252480003) is 114341669235728595360803434064507402452992000000000
-
The
square root of 48536468725248000 is 220309937.8721895061 -
The
cube root of 48536468725248000 is 364773.0339139131
Scales and comparisons
How big is 48536468725248000?- 48,536,468,725,248,000 seconds is equal to 1,543,309,572 years, 16 weeks.
-
To count from 1 to 48,536,468,725,248,000 would take you about four billion, six hundred twenty-nine million, nine hundred twenty-eight thousand, seven 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 48536468725248000 cubic inches would be around 30397.8 feet tall.
Recreational maths with 48536468725248000
- 48536468725248000 backwards is 00084252786463584
- 48536468725248000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48536468725248000's digits is 72
- More coming soon!
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"Number 48536468725248000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 48536468725248000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/48536468725248000/
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The information we have on file for 48536468725248000 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 48536468725248000, math, Factors of 48536468725248000, curriculum, school, college, exams, university, Prime factorization of 48536468725248000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, five hundred thirty-six trillion, four hundred sixty-eight billion, seven hundred twenty-five million, two hundred forty-eight thousand.