442942393920000
442,942,393,920,000 is an even composite number composed of seven prime numbers multiplied together.
442942393920000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 442942393920000:
29 × 3 × 54 × 13 × 31 × 61 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 31 × 61 × 137 × 137)See below for interesting mathematical facts about the number 442942393920000 from the Numbermatics database.
Names of 442942393920000
- Cardinal: 442942393920000 can be written as Four hundred forty-two trillion, nine hundred forty-two billion, three hundred ninety-three million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 4.4294239392 × 1014
Factors of 442942393920000
Divisors of 442942393920000
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 61 62 64 65 75 78 80 93 96 100 104 120 122 124 125 128 130 137 150 155 156 160 183 186 192 195 200 208 240 244 248 250 256 260 274 300 305 310 312 320 325 366 372 375 384 390 400 403 411 416 465 480 488 496 500 512 520 548 600 610 620 624 625 640 650 685 732 744 750 768 775 780 793 800 806 822 832 915 930 960 975 976 992 1000 1040 1096 1200 1209 1220 1240 1248 1250 1280 1300 1370 1464 1488 1500 1525 1536 1550 1560 1586 1600 1612 1625 1644 1664 1781 1830 1860 1875 1891 1920 1950 1952 1984 2000 2015 2055 2080 2192 2325 2379 2400 2418 2440 2480 2496 2500 2560 2600 2740 2928 2976 3000 3050 3100 3120 3172 3200 3224 3250 3288 3328 3425 3562 3660 3720 3750 3782 3840 3875 3900 3904 3965 3968 4000 4030 4110 4160 4247 4384 4575 4650 4758 4800 4836 4875 4880 4960 4992 5000 5200 5343 5480 5673 5856 5952 6000 6045 6100 6200 6240 6344 6400 6448 6500 6576 6656 6850 7124 7320 7440 7500 7564 7625 7680 7750 7800 7808 7930 7936 8000 8060 8125 8220 8320 8357 8494 8768 8905 9150 9300 9455 9516 9600 9672 9750 9760 9920 9984 10000 10075 10275 10400 10686 10960 11346 11625 11712 11895 11904 12000 12090 12200 12400 12480 12688 12741 12800 12896 13000 13152 13700 14248 14640 14880 15000 15128 15250 15500 15600 15616 15860 15872 16000 16120 16250 16440 16640 16714 16988 17125 17536 17810 18300 18600 18769 18910 19032 19200 19344 19375 19500 19520 19825 19840 19968 20000 20150 20550 20800 21235 21372 21920 22692 22875 23250 23424 23790 23808 24000 24180 24375 24400 24583 24800 24960 25071 25376 25482 25792 26000 26304 26715 27400 28365 28496 29280 29760 30000 30225 30256 30500 31000 31200 31232 31720 32000 32240 32500 32880 33280 33428 33976 34250 35072 35620 36600 37200 37538 37820 38064 38125 38400 38688 38750 39000 39040 39650 39680 40000 40300 41100 41600 41785 42470 42744 43840 44525 45384 45750 46500 46848 47275 47580 47616 48000 48360 48750 48800 49166 49600 49920 50142 50375 50752 50964 51375 51584 52000 52608 53430 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22147119696000 27683899620000 29529492928000 34072491840000 36911866160000 44294239392000 55367799240000 73823732320000 88588478784000 110735598480000 147647464640000 221471196960000 442942393920000
- Sum of all divisors σ(n): 1678336295268864
- Sum of proper divisors (its aliquot sum) s(n): 1235393901348864
- 442942393920000 is an abundant number, because the sum of its proper divisors (1235393901348864) is greater than itself. Its abundance is 792451507428864
Bases of 442942393920000
- Binary: 11001001011011010100100000000101110101010000000002
- Hexadecimal: 0x192DA900BAA00
- Base-36: 4D0CXCWMIO
Squares and roots of 442942393920000
- 442942393920000 squared (4429423939200002) is 196197964331580452966400000000
- 442942393920000 cubed (4429423939200003) is 86904396003261018494015181324288000000000000
-
The
square root of 442942393920000 is 21046196.6616298631 -
The
cube root of 442942393920000 is 76228.2148737067
Scales and comparisons
How big is 442942393920000?- 442,942,393,920,000 seconds is equal to 14,084,198 years, 5 days, 18 hours, 40 minutes.
-
To count from 1 to 442,942,393,920,000 would take you about thirty-five million, two hundred ten thousand, four hundred ninety-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 442942393920000 cubic inches would be around 6352.4 feet tall.
Recreational maths with 442942393920000
- 442942393920000 backwards is 000029393249244
- The number of decimal digits it has is: 15
- The sum of 442942393920000's digits is 51
- More coming soon!
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The information we have on file for 442942393920000 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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