146991456
146,991,456 is an even composite number composed of four prime numbers multiplied together.
146991456 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 146991456:
25 × 33 × 61 × 2789
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 61 × 2789)See below for interesting mathematical facts about the number 146991456 from the Numbermatics database.
Names of 146991456
- Cardinal: 146991456 can be written as One hundred forty-six million, nine hundred ninety-one thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 1.46991456 × 108
Factors of 146991456
Divisors of 146991456
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1952 2196 2789 2928 3294 4392 5578 5856 6588 8367 8784 11156 13176 16734 17568 22312 25101 26352 33468 44624 50202 52704 66936 75303 89248 100404 133872 150606 170129 200808 267744 301212 340258 401616 510387 602424 680516 803232 1020774 1204848 1361032 1531161 2041548 2409696 2722064 3062322 4083096 4593483 5444128 6124644 8166192 9186966 12249288 16332384 18373932 24498576 36747864 48997152 73495728 146991456
- Sum of all divisors σ(n): 435909600
- Sum of proper divisors (its aliquot sum) s(n): 288918144
- 146991456 is an abundant number, because the sum of its proper divisors (288918144) is greater than itself. Its abundance is 141926688
Bases of 146991456
- Binary: 10001100001011101001011000002
- Hexadecimal: 0x8C2E960
- Base-36: 2FIJC0
Squares and roots of 146991456
- 146991456 squared (1469914562) is 21606488136999936
- 146991456 cubed (1469914563) is 3175969150304348064546816
-
The
square root of 146991456 is 12124.0032992407 -
The
cube root of 146991456 is 527.7529836289
Scales and comparisons
How big is 146991456?- 146,991,456 seconds is equal to 4 years, 35 weeks, 6 hours, 57 minutes, 36 seconds.
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To count from 1 to 146,991,456 would take you about 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 146991456 cubic inches would be around 44 feet tall.
Recreational maths with 146991456
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