148966125
148,966,125 is an odd composite number composed of five prime numbers multiplied together.
148966125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 148966125:
3 × 53 × 72 × 112 × 67
(3 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 67)See below for interesting mathematical facts about the number 148966125 from the Numbermatics database.
Names of 148966125
- Cardinal: 148966125 can be written as One hundred forty-eight million, nine hundred sixty-six thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.48966125 × 108
Factors of 148966125
Divisors of 148966125
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 7 11 15 21 25 33 35 49 55 67 75 77 105 121 125 147 165 175 201 231 245 275 335 363 375 385 469 525 539 605 735 737 825 847 875 1005 1155 1225 1375 1407 1617 1675 1815 1925 2211 2345 2541 2625 2695 3025 3283 3675 3685 4125 4235 5025 5159 5775 5929 6125 7035 8085 8107 8375 9075 9625 9849 11055 11725 12705 13475 15125 15477 16415 17787 18375 18425 21175 24321 25125 25795 28875 29645 35175 36113 40425 40535 45375 49245 55275 56749 58625 63525 67375 77385 82075 88935 92125 105875 108339 121605 128975 148225 170247 175875 180565 202125 202675 246225 276375 283745 317625 386925 397243 410375 444675 541695 608025 644875 741125 851235 902825 1013375 1191729 1231125 1418725 1934625 1986215 2223375 2708475 3040125 4256175 4514125 5958645 7093625 9931075 13542375 21280875 29793225 49655375 148966125
- Sum of all divisors σ(n): 321676992
- Sum of proper divisors (its aliquot sum) s(n): 172710867
- 148966125 is an abundant number, because the sum of its proper divisors (172710867) is greater than itself. Its abundance is 23744742
Bases of 148966125
- Binary: 10001110000100001010111011012
- Hexadecimal: 0x8E10AED
- Base-36: 2GOUZX
Squares and roots of 148966125
- 148966125 squared (1489661252) is 22190906397515625
- 148966125 cubed (1489661253) is 3305693336275612283203125
-
The
square root of 148966125 is 12205.1679627935 -
The
cube root of 148966125 is 530.1057401461
Scales and comparisons
How big is 148966125?- 148,966,125 seconds is equal to 4 years, 38 weeks, 2 days, 3 hours, 28 minutes, 45 seconds.
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To count from 1 to 148,966,125 would take you about seven 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 148966125 cubic inches would be around 44.2 feet tall.
Recreational maths with 148966125
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