493128090
493,128,090 is an even composite number composed of seven prime numbers multiplied together.
493128090 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 493128090:
2 × 32 × 5 × 7 × 13 × 19 × 3169
(2 × 3 × 3 × 5 × 7 × 13 × 19 × 3169)See below for interesting mathematical facts about the number 493128090 from the Numbermatics database.
Names of 493128090
- Cardinal: 493128090 can be written as Four hundred ninety-three million, one hundred twenty-eight thousand and ninety.
Scientific notation
- Scientific notation: 4.9312809 × 108
Factors of 493128090
Divisors of 493128090
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 19 21 26 30 35 38 39 42 45 57 63 65 70 78 90 91 95 105 114 117 126 130 133 171 182 190 195 210 234 247 266 273 285 315 342 390 399 455 494 546 570 585 630 665 741 798 819 855 910 1170 1197 1235 1330 1365 1482 1638 1710 1729 1995 2223 2394 2470 2730 3169 3458 3705 3990 4095 4446 5187 5985 6338 7410 8190 8645 9507 10374 11115 11970 15561 15845 17290 19014 22183 22230 25935 28521 31122 31690 41197 44366 47535 51870 57042 60211 66549 77805 82394 95070 110915 120422 123591 133098 142605 155610 180633 199647 205985 221830 247182 285210 288379 301055 332745 361266 370773 399294 411970 421477 541899 576758 602110 617955 665490 741546 782743 842954 865137 903165 998235 1083798 1235910 1264431 1441895 1565486 1730274 1806330 1853865 1996470 2107385 2348229 2528862 2595411 2709495 2883790 3707730 3793293 3913715 4214770 4325685 4696458 5190822 5418990 5479201 6322155 7044687 7586586 7827430 8651370 10958402 11741145 12644310 12977055 14089374 16437603 18966465 23482290 25954110 27396005 32875206 35223435 37932930 49312809 54792010 70446870 82188015 98625618 164376030 246564045 493128090
- Sum of all divisors σ(n): 1661587200
- Sum of proper divisors (its aliquot sum) s(n): 1168459110
- 493128090 is an abundant number, because the sum of its proper divisors (1168459110) is greater than itself. Its abundance is 675331020
Bases of 493128090
- Binary: 111010110010010001001100110102
- Hexadecimal: 0x1D64899A
- Base-36: 85LG2I
Squares and roots of 493128090
- 493128090 squared (4931280902) is 243175313147048100
- 493128090 cubed (4931280903) is 119916577707355718691129000
-
The
square root of 493128090 is 22206.4875655741 -
The
cube root of 493128090 is 790.0475803207
Scales and comparisons
How big is 493128090?- 493,128,090 seconds is equal to 15 years, 35 weeks, 2 days, 12 hours, 1 minute, 30 seconds.
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To count from 1 to 493,128,090 would take you about twenty-three 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 493128090 cubic inches would be around 65.8 feet tall.
Recreational maths with 493128090
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