990984375
990,984,375 is an odd composite number composed of three prime numbers multiplied together.
990984375 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 990984375:
37 × 56 × 29
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 29)See below for interesting mathematical facts about the number 990984375 from the Numbermatics database.
Names of 990984375
- Cardinal: 990984375 can be written as Nine hundred ninety million, nine hundred eighty-four thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 9.90984375 × 108
Factors of 990984375
Divisors of 990984375
- Number of divisors d(n): 112
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Complete list of divisors:
1 3 5 9 15 25 27 29 45 75 81 87 125 135 145 225 243 261 375 405 435 625 675 725 729 783 1125 1215 1305 1875 2025 2175 2187 2349 3125 3375 3625 3645 3915 5625 6075 6525 7047 9375 10125 10875 10935 11745 15625 16875 18125 18225 19575 21141 28125 30375 32625 35235 46875 50625 54375 54675 58725 63423 84375 90625 91125 97875 105705 140625 151875 163125 176175 253125 271875 273375 293625 317115 421875 453125 455625 489375 528525 759375 815625 880875 1265625 1359375 1366875 1468125 1585575 2278125 2446875 2642625 3796875 4078125 4404375 6834375 7340625 7927875 11390625 12234375 13213125 22021875 34171875 36703125 39639375 66065625 110109375 198196875 330328125 990984375
- Sum of all divisors σ(n): 1921850400
- Sum of proper divisors (its aliquot sum) s(n): 930866025
- 990984375 is a deficient number, because the sum of its proper divisors (930866025) is less than itself. Its deficiency is 60118350
Bases of 990984375
- Binary: 1110110001000100111000101101112
- Hexadecimal: 0x3B1138B7
- Base-36: GE08FR
Squares and roots of 990984375
- 990984375 squared (9909843752) is 982050031494140625
- 990984375 cubed (9909843753) is 973196236678951263427734375
-
The
square root of 990984375 is 31479.9043041747 -
The
cube root of 990984375 is 996.9857148811
Scales and comparisons
How big is 990984375?- 990,984,375 seconds is equal to 31 years, 26 weeks, 3 days, 17 hours, 26 minutes, 15 seconds.
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To count from 1 to 990,984,375 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 990984375 cubic inches would be around 83.1 feet tall.
Recreational maths with 990984375
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