133027125
133,027,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 133027125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 128 divisors.
133027125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 133027125:
3 × 53 × 7 × 11 × 17 × 271
(3 × 5 × 5 × 5 × 7 × 11 × 17 × 271)See below for interesting mathematical facts about the number 133027125 from the Numbermatics database.
Names of 133027125
- Cardinal: 133027125 can be written as One hundred thirty-three million, twenty-seven thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.33027125 × 108
Factors of 133027125
Divisors of 133027125
- Number of divisors d(n): 128
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Complete list of divisors:
1 3 5 7 11 15 17 21 25 33 35 51 55 75 77 85 105 119 125 165 175 187 231 255 271 275 357 375 385 425 525 561 595 813 825 875 935 1155 1275 1309 1355 1375 1785 1897 1925 2125 2625 2805 2975 2981 3927 4065 4125 4607 4675 5691 5775 6375 6545 6775 8925 8943 9485 9625 13821 14025 14875 14905 19635 20325 20867 23035 23375 28455 28875 32249 32725 33875 44625 44715 47425 50677 62601 69105 70125 74525 96747 98175 101625 104335 115175 142275 152031 161245 163625 223575 237125 253385 313005 345525 354739 372625 483735 490875 521675 575875 711375 760155 806225 1064217 1117875 1266925 1565025 1727625 1773695 2418675 2608375 3800775 4031125 5321085 6334625 7825125 8868475 12093375 19003875 26605425 44342375 133027125
- Sum of all divisors σ(n): 293289984
- Sum of proper divisors (its aliquot sum) s(n): 160262859
- 133027125 is an abundant number, because the sum of its proper divisors (160262859) is greater than itself. Its abundance is 27235734
Bases of 133027125
- Binary: 1111110110111010101001101012
- Hexadecimal: 0x7EDD535
- Base-36: 2778DX
Squares and roots of 133027125
- 133027125 squared (1330271252) is 17696215985765625
- 133027125 cubed (1330271253) is 2354076735965442017578125
-
The
square root of 133027125 is 11533.7385526117 -
The
cube root of 133027125 is 510.4815712735
Scales and comparisons
How big is 133027125?- 133,027,125 seconds is equal to 4 years, 11 weeks, 6 days, 15 hours, 58 minutes, 45 seconds.
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To count from 1 to 133,027,125 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 133027125 cubic inches would be around 42.5 feet tall.
Recreational maths with 133027125
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