132187968
132,187,968 is an even composite number composed of five prime numbers multiplied together.
132187968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 132187968:
26 × 32 × 11 × 31 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 31 × 673)See below for interesting mathematical facts about the number 132187968 from the Numbermatics database.
Names of 132187968
- Cardinal: 132187968 can be written as One hundred thirty-two million, one hundred eighty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.32187968 × 108
Factors of 132187968
Divisors of 132187968
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 64 66 72 88 93 96 99 124 132 144 176 186 192 198 248 264 279 288 341 352 372 396 496 528 558 576 673 682 704 744 792 992 1023 1056 1116 1346 1364 1488 1584 1984 2019 2046 2112 2232 2692 2728 2976 3069 3168 4038 4092 4464 5384 5456 5952 6057 6138 6336 7403 8076 8184 8928 10768 10912 12114 12276 14806 16152 16368 17856 20863 21536 21824 22209 24228 24552 29612 32304 32736 41726 43072 44418 48456 49104 59224 62589 64608 65472 66627 83452 88836 96912 98208 118448 125178 129216 133254 166904 177672 187767 193824 196416 229493 236896 250356 266508 333808 355344 375534 387648 458986 473792 500712 533016 667616 688479 710688 751068 917972 1001424 1066032 1335232 1376958 1421376 1502136 1835944 2002848 2065437 2132064 2753916 3004272 3671888 4005696 4130874 4264128 5507832 6008544 7343776 8261748 11015664 12017088 14687552 16523496 22031328 33046992 44062656 66093984 132187968
- Sum of all divisors σ(n): 427305216
- Sum of proper divisors (its aliquot sum) s(n): 295117248
- 132187968 is an abundant number, because the sum of its proper divisors (295117248) is greater than itself. Its abundance is 162929280
Bases of 132187968
- Binary: 1111110000100000111010000002
- Hexadecimal: 0x7E10740
- Base-36: 26P8W0
Squares and roots of 132187968
- 132187968 squared (1321879682) is 17473658883969024
- 132187968 cubed (1321879683) is 2309807461397013057503232
-
The
square root of 132187968 is 11497.3026401849 -
The
cube root of 132187968 is 509.4059056763
Scales and comparisons
How big is 132187968?- 132,187,968 seconds is equal to 4 years, 10 weeks, 3 days, 22 hours, 52 minutes, 48 seconds.
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To count from 1 to 132,187,968 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 132187968 cubic inches would be around 42.5 feet tall.
Recreational maths with 132187968
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