132385792
132,385,792 is an even composite number composed of five prime numbers multiplied together.
132385792 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 132385792:
210 × 7 × 11 × 23 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 23 × 73)See below for interesting mathematical facts about the number 132385792 from the Numbermatics database.
Names of 132385792
- Cardinal: 132385792 can be written as One hundred thirty-two million, three hundred eighty-five thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 1.32385792 × 108
Factors of 132385792
Divisors of 132385792
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 73 77 88 92 112 128 146 154 161 176 184 224 253 256 292 308 322 352 368 448 506 511 512 584 616 644 704 736 803 896 1012 1022 1024 1168 1232 1288 1408 1472 1606 1679 1771 1792 2024 2044 2336 2464 2576 2816 2944 3212 3358 3542 3584 4048 4088 4672 4928 5152 5621 5632 5888 6424 6716 7084 7168 8096 8176 9344 9856 10304 11242 11264 11753 11776 12848 13432 14168 16192 16352 18469 18688 19712 20608 22484 23506 23552 25696 26864 28336 32384 32704 36938 37376 39424 41216 44968 47012 51392 53728 56672 64768 65408 73876 74752 78848 82432 89936 94024 102784 107456 113344 129283 129536 130816 147752 164864 179872 188048 205568 214912 226688 258566 259072 261632 295504 359744 376096 411136 429824 453376 517132 523264 591008 719488 752192 822272 859648 906752 1034264 1182016 1438976 1504384 1719296 1813504 2068528 2364032 2877952 3008768 4137056 4728064 5755904 6017536 8274112 9456128 12035072 16548224 18912256 33096448 66192896 132385792
- Sum of all divisors σ(n): 349005312
- Sum of proper divisors (its aliquot sum) s(n): 216619520
- 132385792 is an abundant number, because the sum of its proper divisors (216619520) is greater than itself. Its abundance is 84233728
Bases of 132385792
- Binary: 1111110010000001100000000002
- Hexadecimal: 0x7E40C00
- Base-36: 26THJ4
Squares and roots of 132385792
- 132385792 squared (1323857922) is 17525997923467264
- 132385792 cubed (1323857923) is 2320193115688569130713088
-
The
square root of 132385792 is 11505.9024852465 -
The
cube root of 132385792 is 509.6598937085
Scales and comparisons
How big is 132385792?- 132,385,792 seconds is equal to 4 years, 10 weeks, 6 days, 5 hours, 49 minutes, 52 seconds.
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To count from 1 to 132,385,792 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 132385792 cubic inches would be around 42.5 feet tall.
Recreational maths with 132385792
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