137296896
137,296,896 is an even composite number composed of five prime numbers multiplied together.
137296896 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 137296896:
210 × 3 × 11 × 17 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 17 × 239)See below for interesting mathematical facts about the number 137296896 from the Numbermatics database.
Names of 137296896
- Cardinal: 137296896 can be written as One hundred thirty-seven million, two hundred ninety-six thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.37296896 × 108
Factors of 137296896
Divisors of 137296896
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 239 256 264 272 352 374 384 408 478 512 528 544 561 704 717 748 768 816 956 1024 1056 1088 1122 1408 1434 1496 1536 1632 1912 2112 2176 2244 2629 2816 2868 2992 3072 3264 3824 4063 4224 4352 4488 5258 5632 5736 5984 6528 7648 7887 8126 8448 8704 8976 10516 11264 11472 11968 12189 13056 15296 15774 16252 16896 17408 17952 21032 22944 23936 24378 26112 30592 31548 32504 33792 35904 42064 44693 45888 47872 48756 52224 61184 63096 65008 71808 84128 89386 91776 95744 97512 122368 126192 130016 134079 143616 168256 178772 183552 191488 195024 244736 252384 260032 268158 287232 336512 357544 367104 390048 504768 520064 536316 574464 673024 715088 734208 780096 1009536 1040128 1072632 1346048 1430176 1560192 2019072 2080256 2145264 2692096 2860352 3120384 4038144 4160512 4290528 5720704 6240768 8076288 8581056 11441408 12481536 17162112 22882816 34324224 45765632 68648448 137296896
- Sum of all divisors σ(n): 424465920
- Sum of proper divisors (its aliquot sum) s(n): 287169024
- 137296896 is an abundant number, because the sum of its proper divisors (287169024) is greater than itself. Its abundance is 149872128
Bases of 137296896
- Binary: 10000010111011111100000000002
- Hexadecimal: 0x82EFC00
- Base-36: 29QQYO
Squares and roots of 137296896
- 137296896 squared (1372968962) is 18850437651234816
- 137296896 cubed (1372968963) is 2588106577756070803931136
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The
square root of 137296896 is 11717.3758154291 -
The
cube root of 137296896 is 515.8857988961
Scales and comparisons
How big is 137296896?- 137,296,896 seconds is equal to 4 years, 19 weeks, 2 hours, 1 minute, 36 seconds.
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To count from 1 to 137,296,896 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 137296896 cubic inches would be around 43 feet tall.
Recreational maths with 137296896
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