993130752
993,130,752 is an even composite number composed of six prime numbers multiplied together.
993130752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 993130752:
28 × 3 × 17 × 29 × 43 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 29 × 43 × 61)See below for interesting mathematical facts about the number 993130752 from the Numbermatics database.
Names of 993130752
- Cardinal: 993130752 can be written as Nine hundred ninety-three million, one hundred thirty thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 9.93130752 × 108
Factors of 993130752
Divisors of 993130752
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 29 32 34 43 48 51 58 61 64 68 86 87 96 102 116 122 128 129 136 172 174 183 192 204 232 244 256 258 272 344 348 366 384 408 464 488 493 516 544 688 696 731 732 768 816 928 976 986 1032 1037 1088 1247 1376 1392 1462 1464 1479 1632 1769 1856 1952 1972 2064 2074 2176 2193 2494 2623 2752 2784 2924 2928 2958 3111 3264 3538 3712 3741 3904 3944 4128 4148 4352 4386 4988 5246 5307 5504 5568 5848 5856 5916 6222 6528 7076 7424 7482 7808 7869 7888 8256 8296 8772 9976 10492 10614 11008 11136 11696 11712 11832 12444 13056 14152 14964 15616 15738 15776 16512 16592 17544 19952 20984 21199 21228 22272 23392 23424 23664 24888 28304 29928 30073 31476 31552 33024 33184 35088 39904 41968 42398 42456 44591 46784 46848 47328 49776 56608 59856 60146 62952 63104 63597 66368 70176 76067 79808 83936 84796 84912 89182 90219 93568 94656 99552 113216 119712 120292 125904 126208 127194 132736 133773 140352 152134 159616 167872 169592 169824 178364 180438 187136 189312 199104 226432 228201 239424 240584 251808 254388 265472 267546 280704 304268 319232 335744 339184 339648 356728 360876 378624 398208 452864 456402 478848 481168 503616 508776 535092 561408 608536 671488 678368 679296 713456 721752 796416 912804 957696 962336 1007232 1017552 1070184 1217072 1293139 1356736 1358592 1426912 1443504 1825608 1924672 2014464 2035104 2140368 2434144 2586278 2713472 2853824 2887008 3651216 3849344 3879417 4070208 4280736 4868288 5172556 5426944 5707648 5774016 7302432 7698688 7758834 8140416 8561472 9736576 10345112 11415296 11548032 14604864 15517668 16280832 17122944 19473152 20690224 23096064 29209728 31035336 34245888 41380448 58419456 62070672 82760896 124141344 165521792 248282688 331043584 496565376 993130752
- Sum of all divisors σ(n): 3011057280
- Sum of proper divisors (its aliquot sum) s(n): 2017926528
- 993130752 is an abundant number, because the sum of its proper divisors (2017926528) is greater than itself. Its abundance is 1024795776
Bases of 993130752
- Binary: 1110110011000111111001000000002
- Hexadecimal: 0x3B31F900
- Base-36: GFA8LC
Squares and roots of 993130752
- 993130752 squared (9931307522) is 986308690568085504
- 993130752 cubed (9931307523) is 979533491568018063787819008
-
The
square root of 993130752 is 31513.9770895391 -
The
cube root of 993130752 is 997.7049876141
Scales and comparisons
How big is 993130752?- 993,130,752 seconds is equal to 31 years, 30 weeks, 13 hours, 39 minutes, 12 seconds.
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To count from 1 to 993,130,752 would take you about forty-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 993130752 cubic inches would be around 83.1 feet tall.
Recreational maths with 993130752
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