128638125
128,638,125 is an odd composite number composed of four prime numbers multiplied together.
128638125 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 128638125:
35 × 54 × 7 × 112
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 11 × 11)See below for interesting mathematical facts about the number 128638125 from the Numbermatics database.
Names of 128638125
- Cardinal: 128638125 can be written as One hundred twenty-eight million, six hundred thirty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.28638125 × 108
Factors of 128638125
Divisors of 128638125
- Number of divisors d(n): 180
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Complete list of divisors:
1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 81 99 105 121 125 135 165 175 189 225 231 243 275 297 315 363 375 385 405 495 525 567 605 625 675 693 825 847 875 891 945 1089 1125 1155 1215 1375 1485 1575 1701 1815 1875 1925 2025 2079 2475 2541 2625 2673 2835 3025 3267 3375 3465 4125 4235 4375 4455 4725 5445 5625 5775 6075 6237 6875 7425 7623 7875 8505 9075 9625 9801 10125 10395 12375 12705 13125 13365 14175 15125 16335 16875 17325 18711 20625 21175 22275 22869 23625 27225 28875 29403 30375 31185 37125 38115 39375 42525 45375 48125 49005 50625 51975 61875 63525 66825 68607 70875 75625 81675 86625 93555 105875 111375 114345 118125 136125 144375 147015 151875 155925 185625 190575 205821 212625 226875 245025 259875 317625 334125 343035 354375 408375 433125 467775 529375 556875 571725 680625 735075 779625 952875 1029105 1063125 1225125 1299375 1588125 1670625 1715175 2041875 2338875 2858625 3675375 3898125 4764375 5145525 6125625 8575875 11694375 14293125 18376875 25727625 42879375 128638125
- Sum of all divisors σ(n): 302478176
- Sum of proper divisors (its aliquot sum) s(n): 173840051
- 128638125 is an abundant number, because the sum of its proper divisors (173840051) is greater than itself. Its abundance is 45201926
Bases of 128638125
- Binary: 1111010101011011100101011012
- Hexadecimal: 0x7AADCAD
- Base-36: 24L5T9
Squares and roots of 128638125
- 128638125 squared (1286381252) is 16547767203515625
- 128638125 cubed (1286381253) is 2128673745996743408203125
-
The
square root of 128638125 is 11341.8748450157 -
The
cube root of 128638125 is 504.8045186613
Scales and comparisons
How big is 128638125?- 128,638,125 seconds is equal to 4 years, 4 weeks, 4 days, 20 hours, 48 minutes, 45 seconds.
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To count from 1 to 128,638,125 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 128638125 cubic inches would be around 42.1 feet tall.
Recreational maths with 128638125
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