132166144
132,166,144 is an even composite number composed of four prime numbers multiplied together.
132166144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 132166144:
29 × 11 × 31 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 31 × 757)See below for interesting mathematical facts about the number 132166144 from the Numbermatics database.
Names of 132166144
- Cardinal: 132166144 can be written as One hundred thirty-two million, one hundred sixty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.32166144 × 108
Factors of 132166144
Divisors of 132166144
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 757 992 1364 1408 1514 1984 2728 2816 3028 3968 5456 5632 6056 7936 8327 10912 12112 15872 16654 21824 23467 24224 33308 43648 46934 48448 66616 87296 93868 96896 133232 174592 187736 193792 258137 266464 375472 387584 516274 532928 750944 1032548 1065856 1501888 2065096 2131712 3003776 4130192 4263424 6007552 8260384 12015104 16520768 33041536 66083072 132166144
- Sum of all divisors σ(n): 297766656
- Sum of proper divisors (its aliquot sum) s(n): 165600512
- 132166144 is an abundant number, because the sum of its proper divisors (165600512) is greater than itself. Its abundance is 33434368
Bases of 132166144
- Binary: 1111110000010110010000000002
- Hexadecimal: 0x7E0B200
- Base-36: 26OS1S
Squares and roots of 132166144
- 132166144 squared (1321661442) is 17467889619828736
- 132166144 cubed (1321661443) is 2308663614870389977513984
-
The
square root of 132166144 is 11496.3535088305 -
The
cube root of 132166144 is 509.3778701283
Scales and comparisons
How big is 132166144?- 132,166,144 seconds is equal to 4 years, 10 weeks, 3 days, 16 hours, 49 minutes, 4 seconds.
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To count from 1 to 132,166,144 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 132166144 cubic inches would be around 42.4 feet tall.
Recreational maths with 132166144
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