48371677728768000
48,371,677,728,768,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 48371677728768000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3456 divisors.
48371677728768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 48371677728768000:
215 × 38 × 53 × 312 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 1873)See below for interesting mathematical facts about the number 48371677728768000 from the Numbermatics database.
Names of 48371677728768000
- Cardinal: 48371677728768000 can be written as Forty-eight quadrillion, three hundred seventy-one trillion, six hundred seventy-seven billion, seven hundred twenty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.8371677728768 × 1016
Factors of 48371677728768000
Divisors of 48371677728768000
- Number of divisors d(n): 3456
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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 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 125 128 135 144 150 155 160 162 180 186 192 200 216 225 240 243 248 250 256 270 279 288 300 310 320 324 360 372 375 384 400 405 432 450 465 480 486 496 500 512 540 558 576 600 620 640 648 675 720 729 744 750 768 775 800 810 837 864 900 930 960 961 972 992 1000 1024 1080 1116 1125 1152 1200 1215 1240 1280 1296 1350 1395 1440 1458 1488 1500 1536 1550 1600 1620 1674 1728 1800 1860 1873 1920 1922 1944 1984 2000 2025 2048 2160 2187 2232 2250 2304 2325 2400 2430 2480 2511 2560 2592 2700 2790 2880 2883 2916 2976 3000 3072 3100 3200 3240 3348 3375 3456 3600 3645 3720 3746 3840 3844 3875 3888 3968 4000 4050 4096 4185 4320 4374 4464 4500 4608 4650 4800 4805 4860 4960 5022 5120 5184 5400 5580 5619 5760 5766 5832 5952 6000 6075 6144 6200 6400 6480 6561 6696 6750 6912 6975 7200 7290 7440 7492 7533 7680 7688 7750 7776 7936 8000 8100 8192 8370 8640 8649 8748 8928 9000 9216 9300 9365 9600 9610 9720 9920 10044 10125 10240 10368 10800 10935 11160 11238 11520 11532 11625 11664 11904 12000 12150 12288 12400 12555 12800 12960 13122 13392 13500 13824 13950 14400 14415 14580 14880 14984 15066 15360 15376 15500 15552 15872 16000 16200 16384 16740 16857 17280 17298 17496 17856 18000 18225 18432 18600 18730 19200 19220 19440 19840 20088 20250 20480 20736 20925 21600 21870 22320 22476 22599 23040 23064 23250 23328 23808 24000 24025 24300 24576 24800 25110 25600 25920 25947 26244 26784 27000 27648 27900 28095 28800 28830 29160 29760 29968 30132 30375 30720 30752 31000 31104 31744 32000 32400 32768 32805 33480 33714 34560 34596 34875 34992 35712 36000 36450 36864 37200 37460 37665 38400 38440 38880 39680 40176 40500 40960 41472 41850 43200 43245 43740 44640 44952 45198 46080 46128 46500 46656 46825 47616 48000 48050 48600 49152 49600 50220 50571 51200 51840 51894 52488 53568 54000 54675 55296 55800 56190 57600 57660 58063 58320 59520 59936 60264 60750 61440 61504 62000 62208 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12092919432192000 16123892576256000 24185838864384000 48371677728768000
- Sum of all divisors σ(n): 187221607139216520
- Sum of proper divisors (its aliquot sum) s(n): 138849929410448520
- 48371677728768000 is an abundant number, because the sum of its proper divisors (138849929410448520) is greater than itself. Its abundance is 90478251681680520
Bases of 48371677728768000
- Binary: 101010111101100111001000110111000011011010000000000000002
- Hexadecimal: 0xABD9C8DC368000
- Base-36: D8ABTZ40000
Squares and roots of 48371677728768000
- 48371677728768000 squared (483716777287680002) is 2339819206295790138974797824000000
- 48371677728768000 cubed (483716777287680003) is 113180980590521690396044419483216308600832000000000
-
The
square root of 48371677728768000 is 219935621.7823024683 -
The
cube root of 48371677728768000 is 364359.7400759317
Scales and comparisons
How big is 48371677728768000?- 48,371,677,728,768,000 seconds is equal to 1,538,069,728 years, 18 weeks, 2 days.
-
To count from 1 to 48,371,677,728,768,000 would take you about four billion, six hundred fourteen million, two hundred nine thousand, one hundred eighty-five 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 48371677728768000 cubic inches would be around 30363.3 feet tall.
Recreational maths with 48371677728768000
- 48371677728768000 backwards is 00086782777617384
- 48371677728768000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48371677728768000's digits is 81
- More coming soon!
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"Number 48371677728768000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 48371677728768000 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/48371677728768000/
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The information we have on file for 48371677728768000 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 48371677728768000, math, Factors of 48371677728768000, curriculum, school, college, exams, university, Prime factorization of 48371677728768000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, three hundred seventy-one trillion, six hundred seventy-seven billion, seven hundred twenty-eight million, seven hundred sixty-eight thousand.