132435472
132,435,472 is an even composite number composed of six prime numbers multiplied together.
132435472 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 132435472:
24 × 13 × 19 × 23 × 31 × 47
(2 × 2 × 2 × 2 × 13 × 19 × 23 × 31 × 47)See below for interesting mathematical facts about the number 132435472 from the Numbermatics database.
Names of 132435472
- Cardinal: 132435472 can be written as One hundred thirty-two million, four hundred thirty-five thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.32435472 × 108
Factors of 132435472
Divisors of 132435472
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 8 13 16 19 23 26 31 38 46 47 52 62 76 92 94 104 124 152 184 188 208 247 248 299 304 368 376 403 437 494 496 589 598 611 713 752 806 874 893 988 1081 1178 1196 1222 1426 1457 1612 1748 1786 1976 2162 2356 2392 2444 2852 2914 3224 3496 3572 3952 4324 4712 4784 4888 5681 5704 5828 6448 6992 7144 7657 8648 9269 9424 9776 11362 11408 11609 11656 13547 14053 14288 15314 17296 18538 18941 20539 22724 23218 23312 27094 27683 28106 30628 33511 37076 37882 41078 45448 46436 54188 55366 56212 61256 67022 74152 75764 82156 90896 92872 108376 110732 112424 122512 134044 148304 151528 164312 176111 185744 216752 221464 224848 267007 268088 303056 328624 352222 359879 435643 442928 534014 536176 636709 704444 719758 871286 1068028 1273418 1408888 1439516 1742572 2136056 2546836 2817776 2879032 3485144 4272112 5093672 5758064 6970288 8277217 10187344 16554434 33108868 66217736 132435472
- Sum of all divisors σ(n): 319979520
- Sum of proper divisors (its aliquot sum) s(n): 187544048
- 132435472 is an abundant number, because the sum of its proper divisors (187544048) is greater than itself. Its abundance is 55108576
Bases of 132435472
- Binary: 1111110010011001110000100002
- Hexadecimal: 0x7E4CE10
- Base-36: 26UJV4
Squares and roots of 132435472
- 132435472 squared (1324354722) is 17539154243862784
- 132435472 cubed (1324354723) is 2322806170766770902274048
-
The
square root of 132435472 is 11508.0611746725 -
The
cube root of 132435472 is 509.7236385575
Scales and comparisons
How big is 132435472?- 132,435,472 seconds is equal to 4 years, 10 weeks, 6 days, 19 hours, 37 minutes, 52 seconds.
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To count from 1 to 132,435,472 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 132435472 cubic inches would be around 42.5 feet tall.
Recreational maths with 132435472
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