146004968
146,004,968 is an even composite number composed of five prime numbers multiplied together.
146004968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 146004968:
23 × 19 × 71 × 83 × 163
(2 × 2 × 2 × 19 × 71 × 83 × 163)See below for interesting mathematical facts about the number 146004968 from the Numbermatics database.
Names of 146004968
- Cardinal: 146004968 can be written as One hundred forty-six million, four thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.46004968 × 108
Factors of 146004968
Divisors of 146004968
- Number of divisors d(n): 64
-
Complete list of divisors:
1 2 4 8 19 38 71 76 83 142 152 163 166 284 326 332 568 652 664 1304 1349 1577 2698 3097 3154 5396 5893 6194 6308 10792 11573 11786 12388 12616 13529 23146 23572 24776 27058 46292 47144 54116 92584 108232 111967 219887 223934 257051 439774 447868 514102 879548 895736 960559 1028204 1759096 1921118 2056408 3842236 7684472 18250621 36501242 73002484 146004968
- Sum of all divisors σ(n): 297561600
- Sum of proper divisors (its aliquot sum) s(n): 151556632
- 146004968 is an abundant number, because the sum of its proper divisors (151556632) is greater than itself. Its abundance is 5551664
Bases of 146004968
- Binary: 10001011001111011011111010002
- Hexadecimal: 0x8B3DBE8
- Base-36: 2EXE5K
Squares and roots of 146004968
- 146004968 squared (1460049682) is 21317450680681024
- 146004968 cubed (1460049683) is 3112453704474411127327232
-
The
square root of 146004968 is 12083.2515491485 -
The
cube root of 146004968 is 526.5697152807
Scales and comparisons
How big is 146004968?- 146,004,968 seconds is equal to 4 years, 33 weeks, 2 days, 20 hours, 56 minutes, 8 seconds.
-
To count from 1 to 146,004,968 would take you about six 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 146004968 cubic inches would be around 43.9 feet tall.
Recreational maths with 146004968
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