132385464
132,385,464 is an even composite number composed of six prime numbers multiplied together.
132385464 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 132385464:
23 × 32 × 19 × 29 × 47 × 71
(2 × 2 × 2 × 3 × 3 × 19 × 29 × 47 × 71)See below for interesting mathematical facts about the number 132385464 from the Numbermatics database.
Names of 132385464
- Cardinal: 132385464 can be written as One hundred thirty-two million, three hundred eighty-five thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.32385464 × 108
Factors of 132385464
Divisors of 132385464
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 12 18 19 24 29 36 38 47 57 58 71 72 76 87 94 114 116 141 142 152 171 174 188 213 228 232 261 282 284 342 348 376 423 426 456 522 551 564 568 639 684 696 846 852 893 1044 1102 1128 1278 1349 1363 1368 1653 1692 1704 1786 2059 2088 2204 2556 2679 2698 2726 3306 3337 3384 3572 4047 4089 4118 4408 4959 5112 5358 5396 5452 6177 6612 6674 7144 8037 8094 8178 8236 9918 10011 10716 10792 10904 12141 12267 12354 13224 13348 16074 16188 16356 16472 18531 19836 20022 21432 24282 24534 24708 25897 26696 30033 32148 32376 32712 37062 39121 39672 40044 48564 49068 49416 51794 60066 63403 64296 74124 77691 78242 80088 96773 97128 98136 103588 117363 120132 126806 148248 155382 156484 190209 193546 207176 233073 234726 240264 253612 290319 310764 312968 352089 380418 387092 466146 469452 507224 570627 580638 621528 704178 760836 774184 870957 932292 938904 1141254 1161276 1408356 1521672 1741914 1838687 1864584 2282508 2322552 2816712 3483828 3677374 4565016 5516061 6967656 7354748 11032122 14709496 16548183 22064244 33096366 44128488 66192732 132385464
- Sum of all divisors σ(n): 404352000
- Sum of proper divisors (its aliquot sum) s(n): 271966536
- 132385464 is an abundant number, because the sum of its proper divisors (271966536) is greater than itself. Its abundance is 139581072
Bases of 132385464
- Binary: 1111110010000001010101110002
- Hexadecimal: 0x7E40AB8
- Base-36: 26THA0
Squares and roots of 132385464
- 132385464 squared (1323854642) is 17525911078495296
- 132385464 cubed (1323854643) is 2320175870149340182777344
-
The
square root of 132385464 is 11505.8882316839 -
The
cube root of 132385464 is 509.6594727957
Scales and comparisons
How big is 132385464?- 132,385,464 seconds is equal to 4 years, 10 weeks, 6 days, 5 hours, 44 minutes, 24 seconds.
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To count from 1 to 132,385,464 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 132385464 cubic inches would be around 42.5 feet tall.
Recreational maths with 132385464
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