330138468
330,138,468 is an even composite number composed of five prime numbers multiplied together.
What does the number 330138468 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 72 divisors.
330138468 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 330138468:
22 × 32 × 11 × 31 × 26893
(2 × 2 × 3 × 3 × 11 × 31 × 26893)See below for interesting mathematical facts about the number 330138468 from the Numbermatics database.
Names of 330138468
- Cardinal: 330138468 can be written as Three hundred thirty million, one hundred thirty-eight thousand, four hundred sixty-eight.
Scientific notation
- Scientific notation: 3.30138468 × 108
Factors of 330138468
Divisors of 330138468
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 12276 26893 53786 80679 107572 161358 242037 295823 322716 484074 591646 833683 887469 968148 1183292 1667366 1774938 2501049 2662407 3334732 3549876 5002098 5324814 7503147 9170513 10004196 10649628 15006294 18341026 27511539 30012588 36682052 55023078 82534617 110046156 165069234 330138468
- Sum of all divisors σ(n): 939783936
- Sum of proper divisors (its aliquot sum) s(n): 609645468
- 330138468 is an abundant number, because the sum of its proper divisors (609645468) is greater than itself. Its abundance is 279507000
Bases of 330138468
- Binary: 100111010110110000011011001002
- Hexadecimal: 0x13AD8364
- Base-36: 5GK0H0
Squares and roots of 330138468
- 330138468 squared (3301384682) is 108991408053387024
- 330138468 cubed (3301384683) is 35982256479908054314439232
-
The
square root of 330138468 is 18169.7129311391 -
The
cube root of 330138468 is 691.1389632719
Scales and comparisons
How big is 330138468?- 330,138,468 seconds is equal to 10 years, 25 weeks, 6 days, 1 hour, 7 minutes, 48 seconds.
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To count from 1 to 330,138,468 would take you about fifteen 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 330138468 cubic inches would be around 57.6 feet tall.
Recreational maths with 330138468
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