123138225
123,138,225 is an odd composite number composed of five prime numbers multiplied together.
123138225 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 123138225:
34 × 52 × 72 × 17 × 73
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 17 × 73)See below for interesting mathematical facts about the number 123138225 from the Numbermatics database.
Names of 123138225
- Cardinal: 123138225 can be written as One hundred twenty-three million, one hundred thirty-eight thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.23138225 × 108
Factors of 123138225
Divisors of 123138225
- Number of divisors d(n): 180
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Complete list of divisors:
1 3 5 7 9 15 17 21 25 27 35 45 49 51 63 73 75 81 85 105 119 135 147 153 175 189 219 225 245 255 315 357 365 405 425 441 459 511 525 567 595 657 675 735 765 833 945 1071 1095 1225 1241 1275 1323 1377 1533 1575 1785 1825 1971 2025 2205 2295 2499 2555 2835 2975 3213 3285 3577 3675 3723 3825 3969 4165 4599 4725 5355 5475 5913 6205 6615 6885 7497 7665 8687 8925 9639 9855 10731 11025 11169 11475 12495 12775 13797 14175 16065 16425 17885 18615 19845 20825 22491 22995 26061 26775 29565 31025 32193 33075 33507 34425 37485 38325 41391 43435 48195 49275 53655 55845 60809 62475 67473 68985 78183 80325 89425 93075 96579 99225 100521 112455 114975 130305 147825 160965 167535 182427 187425 206955 217175 234549 240975 268275 279225 289737 304045 337365 344925 390915 482895 502605 547281 562275 651525 703647 804825 837675 912135 1034775 1172745 1448685 1520225 1641843 1686825 1954575 2414475 2513025 2736405 3518235 4560675 4925529 5863725 7243425 8209215 13682025 17591175 24627645 41046075 123138225
- Sum of all divisors σ(n): 284790924
- Sum of proper divisors (its aliquot sum) s(n): 161652699
- 123138225 is an abundant number, because the sum of its proper divisors (161652699) is greater than itself. Its abundance is 38514474
Bases of 123138225
- Binary: 1110101011011110000101100012
- Hexadecimal: 0x756F0B1
- Base-36: 21BA29
Squares and roots of 123138225
- 123138225 squared (1231382252) is 15163022456150625
- 123138225 cubed (1231382253) is 1867147670885528295140625
-
The
square root of 123138225 is 11096.7664208993 -
The
cube root of 123138225 is 497.5052060431
Scales and comparisons
How big is 123138225?- 123,138,225 seconds is equal to 3 years, 47 weeks, 4 days, 5 hours, 3 minutes, 45 seconds.
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To count from 1 to 123,138,225 would take you about five 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 123138225 cubic inches would be around 41.5 feet tall.
Recreational maths with 123138225
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The information we have on file for 123138225 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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