48540442185216000
48,540,442,185,216,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 48540442185216000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3120 divisors.
48540442185216000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, one hundred twenty divisors.
Prime factorization of 48540442185216000:
212 × 39 × 53 × 61 × 2812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 61 × 281 × 281)See below for interesting mathematical facts about the number 48540442185216000 from the Numbermatics database.
Names of 48540442185216000
- Cardinal: 48540442185216000 can be written as Forty-eight quadrillion, five hundred forty trillion, four hundred forty-two billion, one hundred eighty-five million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 4.8540442185216 × 1016
Factors of 48540442185216000
Divisors of 48540442185216000
- Number of divisors d(n): 3120
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 61 64 72 75 80 81 90 96 100 108 120 122 125 128 135 144 150 160 162 180 183 192 200 216 225 240 243 244 250 256 270 281 288 300 305 320 324 360 366 375 384 400 405 432 450 480 486 488 500 512 540 549 562 576 600 610 640 648 675 720 729 732 750 768 800 810 843 864 900 915 960 972 976 1000 1024 1080 1098 1124 1125 1152 1200 1215 1220 1280 1296 1350 1405 1440 1458 1464 1500 1525 1536 1600 1620 1647 1686 1728 1800 1830 1920 1944 1952 2000 2025 2048 2160 2187 2196 2248 2250 2304 2400 2430 2440 2529 2560 2592 2700 2745 2810 2880 2916 2928 3000 3050 3072 3200 3240 3294 3372 3375 3456 3600 3645 3660 3840 3888 3904 4000 4050 4096 4215 4320 4374 4392 4496 4500 4575 4608 4800 4860 4880 4941 5058 5120 5184 5400 5490 5620 5760 5832 5856 6000 6075 6100 6144 6400 6480 6561 6588 6744 6750 6912 7025 7200 7290 7320 7587 7625 7680 7776 7808 8000 8100 8235 8430 8640 8748 8784 8992 9000 9150 9216 9600 9720 9760 9882 10116 10125 10240 10368 10800 10935 10980 11240 11520 11664 11712 12000 12150 12200 12288 12645 12800 12960 13122 13176 13488 13500 13725 13824 14050 14400 14580 14640 14823 15174 15250 15360 15552 15616 16000 16200 16470 16860 17141 17280 17496 17568 17984 18000 18225 18300 18432 19200 19440 19520 19683 19764 20232 20250 20480 20736 21075 21600 21870 21960 22480 22761 22875 23040 23328 23424 24000 24300 24400 24705 25290 25600 25920 26244 26352 26976 27000 27450 27648 28100 28800 29160 29280 29646 30348 30375 30500 30720 31104 31232 32000 32400 32805 32940 33720 34282 34560 34992 35125 35136 35968 36000 36450 36600 36864 37935 38400 38880 39040 39366 39528 40464 40500 41175 41472 42150 43200 43740 43920 44469 44960 45522 45750 46080 46656 46848 48000 48600 48800 49410 50580 51200 51423 51840 52488 52704 53952 54000 54675 54900 55296 56200 57600 58320 58560 59292 60696 60750 61000 61440 62208 62464 63225 64000 64800 65610 65880 67440 68283 68564 68625 69120 69984 70250 70272 71936 72000 72900 73200 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35955883100160 37454044896000 37922220457200 39787247692800 39950981222400 40450368487680 42135800508000 43147059720192 43185446784000 44208052992000 44944853875200 47402775571500 48540442185216 49734059616000 49938726528000 50562960609600 53049663590400 53933824650240 56181067344000 57580595712000 59926471833600 60675552731520 63203700762000 64720589580288 66312079488000 66584968704000 67417280812800 71911766200320 74908089792000 75844440914400 79574495385600 80900736975360 84271601016000 86370893568000 88416105984000 89889707750400 94805551143000 97080884370432 99468119232000 99877453056000 101125921219200 107867649300480 112362134688000 119852943667200 121351105463040 126407401524000 129441179160576 132624158976000 134834561625600 149816179584000 151688881828800 159148990771200 161801473950720 168543202032000 172741787136000 179779415500800 189611102286000 194161768740864 198936238464000 199754906112000 202251842438400 215735298600960 224724269376000 242702210926080 252814803048000 265248317952000 269669123251200 299632359168000 303377763657600 323602947901440 337086404064000 359558831001600 379222204572000 388323537481728 397872476928000 404503684876800 449448538752000 485404421852160 505629606096000 539338246502400 599264718336000 606755527315200 647205895802880 674172808128000 758444409144000 795744953856000 809007369753600 898897077504000 970808843704320 1011259212192000 1078676493004800 1213511054630400 1348345616256000 1516888818288000 1618014739507200 1797794155008000 1941617687408640 2022518424384000 2427022109260800 2696691232512000 3033777636576000 3236029479014400 4045036848768000 4854044218521600 5393382465024000 6067555273152000 8090073697536000 9708088437043200 12135110546304000 16180147395072000 24270221092608000 48540442185216000
- Sum of all divisors σ(n): 185348603940792864
- Sum of proper divisors (its aliquot sum) s(n): 136808161755576864
- 48540442185216000 is an abundant number, because the sum of its proper divisors (136808161755576864) is greater than itself. Its abundance is 88267719570360864
Bases of 48540442185216000
- Binary: 101011000111001101000110011001011011000010110000000000002
- Hexadecimal: 0xAC734665B0B000
- Base-36: D9Y5FAO0000
Squares and roots of 48540442185216000
- 48540442185216000 squared (485404421852160002) is 2356174527536297045248966656000000
- 48540442185216000 cubed (485404421852160003) is 114369753432154250911841635058334560157696000000000
-
The
square root of 48540442185216000 is 220318955.5739950397 -
The
cube root of 48540442185216000 is 364782.9877454361
Scales and comparisons
How big is 48540442185216000?- 48,540,442,185,216,000 seconds is equal to 1,543,435,916 years, 2 weeks, 2 days.
-
To count from 1 to 48,540,442,185,216,000 would take you about four billion, six hundred thirty million, three hundred seven thousand, seven hundred forty-eight 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 48540442185216000 cubic inches would be around 30398.6 feet tall.
Recreational maths with 48540442185216000
- 48540442185216000 backwards is 00061258124404584
- 48540442185216000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48540442185216000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 48540442185216000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 48540442185216000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/48540442185216000/
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Numbermatics. 2024. "Number 48540442185216000 - Facts about the integer". https://numbermatics.com/n/48540442185216000/
The information we have on file for 48540442185216000 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 48540442185216000, math, Factors of 48540442185216000, curriculum, school, college, exams, university, Prime factorization of 48540442185216000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, five hundred forty trillion, four hundred forty-two billion, one hundred eighty-five million, two hundred sixteen thousand.