990305106
990,305,106 is an even composite number composed of seven prime numbers multiplied together.
What does the number 990305106 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 128 divisors.
990305106 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 990305106:
2 × 3 × 7 × 31 × 53 × 113 × 127
See below for interesting mathematical facts about the number 990305106 from the Numbermatics database.
Names of 990305106
- Cardinal: 990305106 can be written as Nine hundred ninety million, three hundred five thousand, one hundred six.
Scientific notation
- Scientific notation: 9.90305106 × 108
Factors of 990305106
Divisors of 990305106
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 6 7 14 21 31 42 53 62 93 106 113 127 159 186 217 226 254 318 339 371 381 434 651 678 742 762 791 889 1113 1302 1582 1643 1778 2226 2373 2667 3286 3503 3937 4746 4929 5334 5989 6731 7006 7874 9858 10509 11501 11811 11978 13462 14351 17967 20193 21018 23002 23622 24521 27559 28702 34503 35934 40386 41923 43053 47117 49042 55118 69006 73563 82677 83846 86106 94234 100457 125769 141351 147126 165354 185659 200914 208661 251538 282702 301371 371318 417322 444881 556977 602742 625983 760603 889762 1113954 1251966 1299613 1334643 1460627 1521206 2281809 2599226 2669286 2921254 3114167 3898839 4381881 4563618 5324221 6228334 7797678 8763762 9342501 10648442 15972663 18685002 23578693 31945326 47157386 70736079 141472158 165050851 330101702 495152553 990305106
- Sum of all divisors σ(n): 2420637696
- Sum of proper divisors (its aliquot sum) s(n): 1430332590
- 990305106 is an abundant number, because the sum of its proper divisors (1430332590) is greater than itself. Its abundance is 440027484
Bases of 990305106
- Binary: 1110110000011011011011010100102
- Hexadecimal: 0x3B06DB52
- Base-36: GDLOB6
Squares and roots of 990305106
- 990305106 squared (9903051062) is 980704202969671236
- 990305106 cubed (9903051063) is 971196379676525788152131016
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The
square root of 990305106 is 31469.1135242161 -
The
cube root of 990305106 is 996.7578686105
Scales and comparisons
How big is 990305106?- 990,305,106 seconds is equal to 31 years, 25 weeks, 2 days, 20 hours, 45 minutes, 6 seconds.
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To count from 1 to 990,305,106 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 990305106 cubic inches would be around 83.1 feet tall.
Recreational maths with 990305106
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