132814416
132,814,416 is an even composite number composed of six prime numbers multiplied together.
132814416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 132814416:
24 × 3 × 7 × 31 × 41 × 311
(2 × 2 × 2 × 2 × 3 × 7 × 31 × 41 × 311)See below for interesting mathematical facts about the number 132814416 from the Numbermatics database.
Names of 132814416
- Cardinal: 132814416 can be written as One hundred thirty-two million, eight hundred fourteen thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.32814416 × 108
Factors of 132814416
Divisors of 132814416
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 41 42 48 56 62 82 84 93 112 123 124 164 168 186 217 246 248 287 311 328 336 372 434 492 496 574 622 651 656 744 861 868 933 984 1148 1244 1271 1302 1488 1722 1736 1866 1968 2177 2296 2488 2542 2604 3444 3472 3732 3813 4354 4592 4976 5084 5208 6531 6888 7464 7626 8708 8897 9641 10168 10416 12751 13062 13776 14928 15252 17416 17794 19282 20336 25502 26124 26691 28923 30504 34832 35588 38253 38564 51004 52248 53382 57846 61008 67487 71176 76506 77128 89257 102008 104496 106764 115692 134974 142352 153012 154256 178514 202461 204016 213528 231384 267771 269948 306024 357028 395281 404922 427056 462768 535542 539896 612048 714056 790562 809844 1071084 1079792 1185843 1428112 1581124 1619688 2142168 2371686 2766967 3162248 3239376 4284336 4743372 5533934 6324496 8300901 9486744 11067868 16601802 18973488 22135736 33203604 44271472 66407208 132814416
- Sum of all divisors σ(n): 415973376
- Sum of proper divisors (its aliquot sum) s(n): 283158960
- 132814416 is an abundant number, because the sum of its proper divisors (283158960) is greater than itself. Its abundance is 150344544
Bases of 132814416
- Binary: 1111110101010010110010100002
- Hexadecimal: 0x7EA9650
- Base-36: 272O9C
Squares and roots of 132814416
- 132814416 squared (1328144162) is 17639669097421056
- 132814416 cubed (1328144163) is 2342802349607224658743296
-
The
square root of 132814416 is 11524.5136990677 -
The
cube root of 132814416 is 510.2093412027
Scales and comparisons
How big is 132814416?- 132,814,416 seconds is equal to 4 years, 11 weeks, 4 days, 4 hours, 53 minutes, 36 seconds.
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To count from 1 to 132,814,416 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 132814416 cubic inches would be around 42.5 feet tall.
Recreational maths with 132814416
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