490419072
490,419,072 is an even composite number composed of five prime numbers multiplied together.
490419072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 490419072:
27 × 32 × 11 × 132 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 13 × 229)See below for interesting mathematical facts about the number 490419072 from the Numbermatics database.
Names of 490419072
- Cardinal: 490419072 can be written as Four hundred ninety million, four hundred nineteen thousand and seventy-two.
Scientific notation
- Scientific notation: 4.90419072 × 108
Factors of 490419072
Divisors of 490419072
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 64 66 72 78 88 96 99 104 117 128 132 143 144 156 169 176 192 198 208 229 234 264 286 288 312 338 352 384 396 416 429 458 468 507 528 572 576 624 676 687 704 792 832 858 916 936 1014 1056 1144 1152 1248 1287 1352 1374 1408 1521 1584 1664 1716 1832 1859 1872 2028 2061 2112 2288 2496 2519 2574 2704 2748 2977 3042 3168 3432 3664 3718 3744 4056 4122 4224 4576 4992 5038 5148 5408 5496 5577 5954 6084 6336 6864 7328 7436 7488 7557 8112 8244 8931 9152 10076 10296 10816 10992 11154 11908 12168 12672 13728 14656 14872 14976 15114 16224 16488 16731 17862 18304 20152 20592 21632 21984 22308 22671 23816 24336 26793 27456 29312 29744 30228 32448 32747 32976 33462 35724 38701 40304 41184 43968 44616 45342 47632 48672 53586 54912 59488 60456 64896 65494 65952 66924 71448 77402 80608 82368 87936 89232 90684 95264 97344 98241 107172 116103 118976 120912 130988 131904 133848 142896 154804 161216 164736 178464 181368 190528 194688 196482 214344 232206 237952 241824 261976 263808 267696 285792 294723 309608 322432 348309 356928 362736 381056 392964 425711 428688 464412 483648 523952 535392 571584 589446 619216 696618 713856 725472 785928 851422 857376 928824 967296 1047904 1070784 1143168 1178892 1238432 1277133 1393236 1450944 1571856 1702844 1714752 1857648 2095808 2141568 2357784 2476864 2554266 2786472 2901888 3143712 3405688 3429504 3715296 3831399 4191616 4715568 4953728 5108532 5572944 6287424 6811376 7430592 7662798 9431136 10217064 11145888 12574848 13622752 14861184 15325596 18862272 20434128 22291776 27245504 30651192 37724544 40868256 44583552 54491008 61302384 81736512 122604768 163473024 245209536 490419072
- Sum of all divisors σ(n): 1674340200
- Sum of proper divisors (its aliquot sum) s(n): 1183921128
- 490419072 is an abundant number, because the sum of its proper divisors (1183921128) is greater than itself. Its abundance is 693502056
Bases of 490419072
- Binary: 111010011101100110011100000002
- Hexadecimal: 0x1D3B3380
- Base-36: 83ZDS0
Squares and roots of 490419072
- 490419072 squared (4904190722) is 240510866181341184
- 490419072 cubed (4904190723) is 117951115798569527172661248
-
The
square root of 490419072 is 22145.4074697215 -
The
cube root of 490419072 is 788.5982041497
Scales and comparisons
How big is 490419072?- 490,419,072 seconds is equal to 15 years, 30 weeks, 6 days, 3 hours, 31 minutes, 12 seconds.
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To count from 1 to 490,419,072 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 490419072 cubic inches would be around 65.7 feet tall.
Recreational maths with 490419072
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