Search a number
-
+
424512190116 = 22347251712
BaseRepresentation
bin1100010110101101110…
…01011111011010100100
31111120201222120122110000
412023112321133122210
523423400110040431
6523003533301300
742445544036100
oct6132671373244
91446658518400
10424512190116
11154042078663
126a334334830
1331053a9a151
1416791848900
15b09885e9e6
hex62d6e5f6a4

424512190116 has 135 divisors (see below), whose sum is σ = 1291193515227. Its totient is φ = 121265741520.

The previous prime is 424512190073. The next prime is 424512190129. The reversal of 424512190116 is 611091215424.

The square root of 424512190116 is 651546.

It is a perfect power (a square), and thus also a powerful number.

424512190116 is a `hidden beast` number, since 4 + 2 + 451 + 2 + 1 + 90 + 116 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82092211 + ... + 82097381.

Almost surely, 2424512190116 is an apocalyptic number.

424512190116 is the 651546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424512190116

424512190116 is an abundant number, since it is smaller than the sum of its proper divisors (866681325111).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424512190116 is an frugal number, since it uses more digits than its factorization.

424512190116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 424512190116 by its sum of digits (36), we get a square (15282438844176 = 39092762).

424512190116 divided by its sum of digits (36) gives a square (11792005281 = 1085912).

The spelling of 424512190116 in words is "four hundred twenty-four billion, five hundred twelve million, one hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5171 5292 7938 10342 15513 15876 20684 31026 36197 46539 62052 72394 93078 108591 139617 144788 186156 217182 253379 279234 325773 418851 434364 506758 558468 651546 760137 837702 977319 1013516 1303092 1520274 1675404 1954638 2280411 2931957 3040548 3909276 4560822 5863914 6841233 9121644 11727828 13682466 20523699 26739241 27364932 41047398 53478482 80217723 82094796 106956964 160435446 187174687 240653169 320870892 374349374 481306338 561524061 721959507 748698748 962612676 1123048122 1310222809 1443919014 1684572183 2165878521 2246096244 2620445618 2887838028 3369144366 3930668427 4331757042 5053716549 5240891236 6738288732 7861336854 8663514084 10107433098 11792005281 15161149647 15722673708 20214866196 23584010562 30322299294 35376015843 47168021124 60644598588 70752031686 106128047529 141504063372 212256095058 424512190116