990828993024000
990,828,993,024,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 990828993024000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2288 divisors.
990828993024000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred eighty-eight divisors.
Prime factorization of 990828993024000:
212 × 310 × 53 × 13 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 2521)See below for interesting mathematical facts about the number 990828993024000 from the Numbermatics database.
Names of 990828993024000
- Cardinal: 990828993024000 can be written as Nine hundred ninety trillion, eight hundred twenty-eight billion, nine hundred ninety-three million, twenty-four thousand.
Scientific notation
- Scientific notation: 9.90828993024 × 1014
Factors of 990828993024000
Divisors of 990828993024000
- Number of divisors d(n): 2288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 180 192 195 200 208 216 225 234 240 243 250 256 260 270 288 300 312 320 324 325 351 360 375 384 390 400 405 416 432 450 468 480 486 500 512 520 540 576 585 600 624 640 648 650 675 702 720 729 750 768 780 800 810 832 864 900 936 960 972 975 1000 1024 1040 1053 1080 1125 1152 1170 1200 1215 1248 1280 1296 1300 1350 1404 1440 1458 1500 1536 1560 1600 1620 1625 1664 1728 1755 1800 1872 1920 1944 1950 2000 2025 2048 2080 2106 2160 2187 2250 2304 2340 2400 2430 2496 2521 2560 2592 2600 2700 2808 2880 2916 2925 3000 3072 3120 3159 3200 3240 3250 3328 3375 3456 3510 3600 3645 3744 3840 3888 3900 4000 4050 4096 4160 4212 4320 4374 4500 4608 4680 4800 4860 4875 4992 5042 5120 5184 5200 5265 5400 5616 5760 5832 5850 6000 6075 6144 6240 6318 6400 6480 6500 6561 6656 6750 6912 7020 7200 7290 7488 7563 7680 7776 7800 8000 8100 8320 8424 8640 8748 8775 9000 9216 9360 9477 9600 9720 9750 9984 10084 10125 10240 10368 10400 10530 10800 10935 11232 11520 11664 11700 12000 12150 12288 12480 12605 12636 12800 12960 13000 13122 13312 13500 13824 14040 14400 14580 14625 14976 15126 15360 15552 15600 15795 16000 16200 16640 16848 17280 17496 17550 18000 18225 18432 18720 18954 19200 19440 19500 19683 19968 20168 20250 20480 20736 20800 21060 21600 21870 22464 22689 23040 23328 23400 24000 24300 24960 25210 25272 25600 25920 26000 26244 26325 26624 27000 27648 28080 28431 28800 29160 29250 29952 30252 30375 30720 31104 31200 31590 32000 32400 32773 32805 33280 33696 34560 34992 35100 36000 36450 36864 37440 37815 37908 38400 38880 39000 39366 39936 40336 40500 41472 41600 42120 43200 43740 43875 44928 45378 46080 46656 46800 47385 48000 48600 49920 50420 50544 51200 51840 52000 52488 52650 53248 54000 54675 55296 56160 56862 57600 58320 58500 59049 59904 60504 60750 61440 62208 62400 63025 63180 64000 64800 65546 65610 66560 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9174342528000 9527201856000 9908289930240 10321135344000 11009211033600 12232456704000 12385362412800 12702935808000 13211053240320 13761513792000 15243522969600 15481703016000 16513816550400 18348685056000 19054403712000 19816579860480 20642270688000 22018422067200 24770724825600 25405871616000 27523027584000 30963406032000 33027633100800 36697370112000 38108807424000 39633159720960 41284541376000 49541449651200 55046055168000 61926812064000 66055266201600 76217614848000 82569082752000 99082899302400 110092110336000 123853624128000 165138165504000 198165798604800 247707248256000 330276331008000 495414496512000 990828993024000
- Sum of all divisors σ(n): 3996096772113264
- Sum of proper divisors (its aliquot sum) s(n): 3005267779089264
- 990828993024000 is an abundant number, because the sum of its proper divisors (3005267779089264) is greater than itself. Its abundance is 2014438786065264
Bases of 990828993024000
- Binary: 111000010100100111010110100010100110010000000000002
- Hexadecimal: 0x385275A299000
- Base-36: 9R7WK00000
Squares and roots of 990828993024000
- 990828993024000 squared (9908289930240002) is 981742093416953840664576000000
- 990828993024000 cubed (9908289930240003) is 972738529829594113315171181027917824000000000
-
The
square root of 990828993024000 is 31477436.2524014969 -
The
cube root of 990828993024000 is 99693.3604504213
Scales and comparisons
How big is 990828993024000?- 990,828,993,024,000 seconds is equal to 31,505,297 years, 7 weeks, 3 days.
-
To count from 1 to 990,828,993,024,000 would take you about seventy-eight million, seven hundred sixty-three thousand, two hundred forty-two 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 990828993024000 cubic inches would be around 8307.8 feet tall.
Recreational maths with 990828993024000
- 990828993024000 backwards is 000420399828099
- The number of decimal digits it has is: 15
- The sum of 990828993024000's digits is 63
- More coming soon!
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The information we have on file for 990828993024000 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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