132985216
132,985,216 is an even composite number composed of four prime numbers multiplied together.
132985216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 132985216:
27 × 73 × 13 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 233)See below for interesting mathematical facts about the number 132985216 from the Numbermatics database.
Names of 132985216
- Cardinal: 132985216 can be written as One hundred thirty-two million, nine hundred eighty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.32985216 × 108
Factors of 132985216
Divisors of 132985216
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 233 343 364 392 416 448 466 637 686 728 784 832 896 932 1274 1372 1456 1568 1631 1664 1864 2548 2744 2912 3029 3136 3262 3728 4459 5096 5488 5824 6058 6272 6524 7456 8918 10192 10976 11417 11648 12116 13048 14912 17836 20384 21203 21952 22834 24232 26096 29824 35672 40768 42406 43904 45668 48464 52192 71344 79919 81536 84812 91336 96928 104384 142688 148421 159838 169624 182672 193856 208768 285376 296842 319676 339248 365344 387712 570752 593684 639352 678496 730688 1038947 1187368 1278704 1356992 1461376 2077894 2374736 2557408 2713984 4155788 4749472 5114816 8311576 9498944 10229632 16623152 18997888 33246304 66492608 132985216
- Sum of all divisors σ(n): 334152000
- Sum of proper divisors (its aliquot sum) s(n): 201166784
- 132985216 is an abundant number, because the sum of its proper divisors (201166784) is greater than itself. Its abundance is 68181568
Bases of 132985216
- Binary: 1111110110100110001100000002
- Hexadecimal: 0x7ED3180
- Base-36: 276C1S
Squares and roots of 132985216
- 132985216 squared (1329852162) is 17685067674566656
- 132985216 cubed (1329852163) is 2351852544676864454557696
-
The
square root of 132985216 is 11531.9216091681 -
The
cube root of 132985216 is 510.4279580995
Scales and comparisons
How big is 132985216?- 132,985,216 seconds is equal to 4 years, 11 weeks, 6 days, 4 hours, 20 minutes, 16 seconds.
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To count from 1 to 132,985,216 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 132985216 cubic inches would be around 42.5 feet tall.
Recreational maths with 132985216
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