420933128
420,933,128 is an even composite number composed of six prime numbers multiplied together.
420933128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 420933128:
23 × 72 × 11 × 31 × 47 × 67
(2 × 2 × 2 × 7 × 7 × 11 × 31 × 47 × 67)See below for interesting mathematical facts about the number 420933128 from the Numbermatics database.
Names of 420933128
- Cardinal: 420933128 can be written as Four hundred twenty million, nine hundred thirty-three thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.20933128 × 108
Factors of 420933128
Divisors of 420933128
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 7 8 11 14 22 28 31 44 47 49 56 62 67 77 88 94 98 124 134 154 188 196 217 248 268 308 329 341 376 392 434 469 517 536 539 616 658 682 737 868 938 1034 1078 1316 1364 1457 1474 1519 1736 1876 2068 2077 2156 2303 2387 2632 2728 2914 2948 3038 3149 3283 3619 3752 4136 4154 4312 4606 4774 5159 5828 5896 6076 6298 6566 7238 8308 9212 9548 10199 10318 11656 12152 12596 13132 14476 14539 16027 16616 16709 18424 19096 20398 20636 22043 22847 25192 25333 26264 28952 29078 32054 33418 34639 36113 40796 41272 44086 45694 50666 58156 64108 66836 69278 71393 72226 81592 88172 91388 97619 101332 101773 112189 116312 128216 133672 138556 142786 144452 154301 159929 176344 182776 195238 202664 203546 224378 242473 277112 285572 288904 308602 319858 390476 407092 448756 484946 571144 617204 639716 683333 780952 785323 814184 897512 969892 1073809 1119503 1234408 1279432 1366666 1570646 1697311 1939784 2147618 2239006 2733332 3141292 3394622 4295236 4478012 4783331 5466664 6282584 6789244 7516663 8590472 8956024 9566662 13578488 15033326 19133324 30066652 38266648 52616641 60133304 105233282 210466564 420933128
- Sum of all divisors σ(n): 1071636480
- Sum of proper divisors (its aliquot sum) s(n): 650703352
- 420933128 is an abundant number, because the sum of its proper divisors (650703352) is greater than itself. Its abundance is 229770224
Bases of 420933128
- Binary: 110010001011011101110000010002
- Hexadecimal: 0x1916EE08
- Base-36: 6YM22W
Squares and roots of 420933128
- 420933128 squared (4209331282) is 177184698247864384
- 420933128 cubed (4209331283) is 74582909267209674476913152
-
The
square root of 420933128 is 20516.6548930375 -
The
cube root of 420933128 is 749.4414377437
Scales and comparisons
How big is 420933128?- 420,933,128 seconds is equal to 13 years, 19 weeks, 6 days, 21 hours, 52 minutes, 8 seconds.
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To count from 1 to 420,933,128 would take you about twenty 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 420933128 cubic inches would be around 62.5 feet tall.
Recreational maths with 420933128
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