132648096
132,648,096 is an even composite number composed of five prime numbers multiplied together.
132648096 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 132648096:
25 × 3 × 72 × 163 × 173
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 163 × 173)See below for interesting mathematical facts about the number 132648096 from the Numbermatics database.
Names of 132648096
- Cardinal: 132648096 can be written as One hundred thirty-two million, six hundred forty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 1.32648096 × 108
Factors of 132648096
Divisors of 132648096
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 163 168 173 196 224 294 326 336 346 392 489 519 588 652 672 692 784 978 1038 1141 1176 1211 1304 1384 1568 1956 2076 2282 2352 2422 2608 2768 3423 3633 3912 4152 4564 4704 4844 5216 5536 6846 7266 7824 7987 8304 8477 9128 9688 13692 14532 15648 15974 16608 16954 18256 19376 23961 25431 27384 28199 29064 31948 33908 36512 38752 47922 50862 54768 56398 58128 63896 67816 84597 95844 101724 109536 112796 116256 127792 135632 169194 191688 197393 203448 225592 255584 271264 338388 383376 394786 406896 451184 592179 676776 766752 789572 813792 902368 1184358 1353552 1381751 1579144 2368716 2707104 2763502 3158288 4145253 4737432 5527004 6316576 8290506 9474864 11054008 16581012 18949728 22108016 33162024 44216032 66324048 132648096
- Sum of all divisors σ(n): 409891104
- Sum of proper divisors (its aliquot sum) s(n): 277243008
- 132648096 is an abundant number, because the sum of its proper divisors (277243008) is greater than itself. Its abundance is 144594912
Bases of 132648096
- Binary: 1111110100000001100101000002
- Hexadecimal: 0x7E80CA0
- Base-36: 26Z3XC
Squares and roots of 132648096
- 132648096 squared (1326480962) is 17595517372425216
- 132648096 cubed (1326480963) is 2334011877587127804788736
-
The
square root of 132648096 is 11517.2955158753 -
The
cube root of 132648096 is 509.9962783275
Scales and comparisons
How big is 132648096?- 132,648,096 seconds is equal to 4 years, 11 weeks, 2 days, 6 hours, 41 minutes, 36 seconds.
-
To count from 1 to 132,648,096 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 132648096 cubic inches would be around 42.5 feet tall.
Recreational maths with 132648096
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