122648960
122,648,960 is an even composite number composed of four prime numbers multiplied together.
122648960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 122648960:
27 × 5 × 72 × 3911
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 3911)See below for interesting mathematical facts about the number 122648960 from the Numbermatics database.
Names of 122648960
- Cardinal: 122648960 can be written as One hundred twenty-two million, six hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.2264896 × 108
Factors of 122648960
Divisors of 122648960
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3911 3920 4480 6272 7822 7840 15644 15680 19555 27377 31288 31360 39110 54754 62576 78220 109508 125152 136885 156440 191639 219016 250304 273770 312880 383278 438032 500608 547540 625760 766556 876064 958195 1095080 1251520 1533112 1752128 1916390 2190160 2503040 3066224 3504256 3832780 4380320 6132448 7665560 8760640 12264896 15331120 17521280 24529792 30662240 61324480 122648960
- Sum of all divisors σ(n): 341165520
- Sum of proper divisors (its aliquot sum) s(n): 218516560
- 122648960 is an abundant number, because the sum of its proper divisors (218516560) is greater than itself. Its abundance is 95867600
Bases of 122648960
- Binary: 1110100111101111001100000002
- Hexadecimal: 0x74F7980
- Base-36: 210SJK
Squares and roots of 122648960
- 122648960 squared (1226489602) is 15042767389081600
- 122648960 cubed (1226489603) is 1844979775792773595136000
-
The
square root of 122648960 is 11074.6990929777 -
The
cube root of 122648960 is 496.8454190953
Scales and comparisons
How big is 122648960?- 122,648,960 seconds is equal to 3 years, 46 weeks, 5 days, 13 hours, 9 minutes, 20 seconds.
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To count from 1 to 122,648,960 would take you about 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 122648960 cubic inches would be around 41.4 feet tall.
Recreational maths with 122648960
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