132625728
132,625,728 is an even composite number composed of five prime numbers multiplied together.
132625728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 132625728:
26 × 33 × 23 × 47 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 23 × 47 × 71)See below for interesting mathematical facts about the number 132625728 from the Numbermatics database.
Names of 132625728
- Cardinal: 132625728 can be written as One hundred thirty-two million, six hundred twenty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.32625728 × 108
Factors of 132625728
Divisors of 132625728
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 47 48 54 64 69 71 72 92 94 96 108 138 141 142 144 184 188 192 207 213 216 276 282 284 288 368 376 414 423 426 432 552 564 568 576 621 639 736 752 828 846 852 864 1081 1104 1128 1136 1242 1269 1278 1472 1504 1633 1656 1692 1704 1728 1917 2162 2208 2256 2272 2484 2538 2556 3008 3243 3266 3312 3337 3384 3408 3834 4324 4416 4512 4544 4899 4968 5076 5112 6486 6532 6624 6674 6768 6816 7668 8648 9024 9729 9798 9936 10011 10152 10224 12972 13064 13248 13348 13536 13632 14697 15336 17296 19458 19596 19872 20022 20304 20448 25944 26128 26696 27072 29187 29394 30033 30672 34592 38916 39192 39744 40044 40608 40896 44091 51888 52256 53392 58374 58788 60066 61344 69184 76751 77832 78384 80088 81216 88182 90099 103776 104512 106784 116748 117576 120132 122688 153502 155664 156768 160176 176364 180198 207552 213568 230253 233496 235152 240264 307004 311328 313536 320352 352728 360396 460506 466992 470304 480528 614008 622656 640704 690759 705456 720792 921012 933984 940608 961056 1228016 1381518 1410912 1441584 1842024 1867968 1922112 2072277 2456032 2763036 2821824 2883168 3684048 4144554 4912064 5526072 5766336 7368096 8289108 11052144 14736192 16578216 22104288 33156432 44208576 66312864 132625728
- Sum of all divisors σ(n): 421355520
- Sum of proper divisors (its aliquot sum) s(n): 288729792
- 132625728 is an abundant number, because the sum of its proper divisors (288729792) is greater than itself. Its abundance is 156104064
Bases of 132625728
- Binary: 1111110011110110101010000002
- Hexadecimal: 0x7E7B540
- Base-36: 26YMO0
Squares and roots of 132625728
- 132625728 squared (1326257282) is 17589583727529984
- 132625728 cubed (1326257283) is 2332831347080617769828352
-
The
square root of 132625728 is 11516.3244136311 -
The
cube root of 132625728 is 509.9676103997
Scales and comparisons
How big is 132625728?- 132,625,728 seconds is equal to 4 years, 11 weeks, 2 days, 28 minutes, 48 seconds.
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To count from 1 to 132,625,728 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 132625728 cubic inches would be around 42.5 feet tall.
Recreational maths with 132625728
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The information we have on file for 132625728 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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