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14347727524 = 221321722712
BaseRepresentation
bin11010101110011000…
…01111001010100100
31101000220210002001201
431113030033022210
5213341004240044
610331413332244
71015356446254
oct152714171244
941026702051
1014347727524
1160a2a11059
122945037084
13147867a900
149a1751964
1558e91d7d4
hex35730f2a4

14347727524 has 81 divisors (see below), whose sum is σ = 28988890371. Its totient is φ = 6209498880.

The previous prime is 14347727519. The next prime is 14347727533. The reversal of 14347727524 is 42572774341.

The square root of 14347727524 is 119782.

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

14347727524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 129549924 + 14218177600 = 11382^2 + 119240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52943509 + ... + 52943779.

Almost surely, 214347727524 is an apocalyptic number.

14347727524 is the 119782-nd square number.

It is an amenable number.

14347727524 is an abundant number, since it is smaller than the sum of its proper divisors (14641162847).

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

14347727524 is a wasteful number, since it uses less digits than its factorization.

14347727524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 46.

The spelling of 14347727524 in words is "fourteen billion, three hundred forty-seven million, seven hundred twenty-seven thousand, five hundred twenty-four".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 271 289 338 442 542 578 676 884 1084 1156 2873 3523 3757 4607 5746 7046 7514 9214 11492 14092 15028 18428 45799 48841 59891 73441 78319 91598 97682 119782 146882 156638 183196 195364 239564 293764 313276 778583 954733 1018147 1248497 1557166 1909466 2036294 2496994 3114332 3818932 4072588 4993988 12411529 13235911 16230461 21224449 24823058 26471822 32460922 42448898 49646116 52943644 64921844 84897796 210995993 275917837 421991986 551835674 843983972 1103671348 3586931881 7173863762 14347727524