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14042005524 = 22324367135389
BaseRepresentation
bin11010001001111100…
…00000000000010100
31100020121111210022200
431010332000000110
5212224223134044
610241212524500
71004655035421
oct150476000024
940217453280
1014042005524
115a56389648
12287a780730
13142a228511
14972cccd48
15572b7e369
hex344f80014

14042005524 has 72 divisors (see below), whose sum is σ = 36862906080. Its totient is φ = 4503546432.

The previous prime is 14042005493. The next prime is 14042005529. The reversal of 14042005524 is 42550024041.

14042005524 is a `hidden beast` number, since 1 + 404 + 200 + 5 + 52 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042005529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36022 + ... + 171410.

Almost surely, 214042005524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14042005524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431453040).

14042005524 is an abundant number, since it is smaller than the sum of its proper divisors (22820900556).

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

14042005524 is a wasteful number, since it uses less digits than its factorization.

14042005524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135509 (or 135504 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 14042005524 its reverse (42550024041), we get a palindrome (56592029565).

The spelling of 14042005524 in words is "fourteen billion, forty-two million, five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 67 86 129 134 172 201 258 268 387 402 516 603 774 804 1206 1548 2412 2881 5762 8643 11524 17286 25929 34572 51858 103716 135389 270778 406167 541556 812334 1218501 1624668 2437002 4874004 5821727 9071063 11643454 17465181 18142126 23286908 27213189 34930362 36284252 52395543 54426378 69860724 81639567 104791086 108852756 163279134 209582172 326558268 390055709 780111418 1170167127 1560222836 2340334254 3510501381 4680668508 7021002762 14042005524