993016128
993,016,128 is an even composite number composed of five prime numbers multiplied together.
993016128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 993016128:
26 × 3 × 13 × 461 × 863
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 461 × 863)See below for interesting mathematical facts about the number 993016128 from the Numbermatics database.
Names of 993016128
- Cardinal: 993016128 can be written as Nine hundred ninety-three million, sixteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 9.93016128 × 108
Factors of 993016128
Divisors of 993016128
- Number of divisors d(n): 112
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 461 624 832 863 922 1248 1383 1726 1844 2496 2589 2766 3452 3688 5178 5532 5993 6904 7376 10356 11064 11219 11986 13808 14752 17979 20712 22128 22438 23972 27616 29504 33657 35958 41424 44256 44876 47944 55232 67314 71916 82848 88512 89752 95888 134628 143832 165696 179504 191776 269256 287664 359008 383552 397843 538512 575328 718016 795686 1077024 1150656 1193529 1591372 2154048 2387058 3182744 4774116 5171959 6365488 9548232 10343918 12730976 15515877 19096464 20687836 25461952 31031754 38192928 41375672 62063508 76385856 82751344 124127016 165502688 248254032 331005376 496508064 993016128
- Sum of all divisors σ(n): 2838882816
- Sum of proper divisors (its aliquot sum) s(n): 1845866688
- 993016128 is an abundant number, because the sum of its proper divisors (1845866688) is greater than itself. Its abundance is 852850560
Bases of 993016128
- Binary: 1110110011000000111001010000002
- Hexadecimal: 0x3B303940
- Base-36: GF7S5C
Squares and roots of 993016128
- 993016128 squared (9930161282) is 986081030468112384
- 993016128 cubed (9930161283) is 979194366769694987028529152
-
The
square root of 993016128 is 31512.1584154433 -
The
cube root of 993016128 is 997.6666021561
Scales and comparisons
How big is 993016128?- 993,016,128 seconds is equal to 31 years, 29 weeks, 6 days, 5 hours, 48 minutes, 48 seconds.
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To count from 1 to 993,016,128 would take you about forty-seven 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 993016128 cubic inches would be around 83.1 feet tall.
Recreational maths with 993016128
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