132993504
132,993,504 is an even composite number composed of five prime numbers multiplied together.
132993504 is an even 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 132993504:
25 × 32 × 7 × 41 × 1609
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 41 × 1609)See below for interesting mathematical facts about the number 132993504 from the Numbermatics database.
Names of 132993504
- Cardinal: 132993504 can be written as One hundred thirty-two million, nine hundred ninety-three thousand, five hundred four.
Scientific notation
- Scientific notation: 1.32993504 × 108
Factors of 132993504
Divisors of 132993504
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1609 1722 1968 2016 2296 2583 2952 3218 3444 3936 4592 4827 5166 5904 6436 6888 9184 9654 10332 11263 11808 12872 13776 14481 19308 20664 22526 25744 27552 28962 33789 38616 41328 45052 51488 57924 65969 67578 77232 82656 90104 101367 115848 131938 135156 154464 180208 197907 202734 231696 263876 270312 360416 395814 405468 461783 463392 527752 540624 593721 791628 810936 923566 1055504 1081248 1187442 1385349 1583256 1621872 1847132 2111008 2374884 2770698 3166512 3243744 3694264 4156047 4749768 5541396 6333024 7388528 8312094 9499536 11082792 14777056 16624188 18999072 22165584 33248376 44331168 66496752 132993504
- Sum of all divisors σ(n): 443046240
- Sum of proper divisors (its aliquot sum) s(n): 310052736
- 132993504 is an abundant number, because the sum of its proper divisors (310052736) is greater than itself. Its abundance is 177059232
Bases of 132993504
- Binary: 1111110110101010001111000002
- Hexadecimal: 0x7ED51E0
- Base-36: 276IG0
Squares and roots of 132993504
- 132993504 squared (1329935042) is 17687272106198016
- 132993504 cubed (1329935043) is 2352292293604734265688064
-
The
square root of 132993504 is 11532.2809539135 -
The
cube root of 132993504 is 510.4385616315
Scales and comparisons
How big is 132993504?- 132,993,504 seconds is equal to 4 years, 11 weeks, 6 days, 6 hours, 38 minutes, 24 seconds.
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To count from 1 to 132,993,504 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 132993504 cubic inches would be around 42.5 feet tall.
Recreational maths with 132993504
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