Search a number
-
+
14546563434 = 23213173656753
BaseRepresentation
bin11011000110000101…
…01111000101101010
31101112202220222122200
431203002233011222
5214242410012214
610403235201030
71023322514634
oct154302570552
941482828580
1014546563434
116195179457
12299b746176
1314aa9180b0
149bdd0da54
155a20e7d09
hex3630af16a

14546563434 has 48 divisors (see below), whose sum is σ = 35938578312. Its totient is φ = 4212578304.

The previous prime is 14546563399. The next prime is 14546563441. The reversal of 14546563434 is 43436564541.

14546563434 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 6 + 5 + 634 + 3 + 4 = 666.

14546563434 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 14238455625 + 308107809 = 119325^2 + 17553^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14546563434.

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 23 ways as a sum of consecutive naturals, for example, 1824399 + ... + 1832354.

Almost surely, 214546563434 is an apocalyptic number.

14546563434 is an abundant number, since it is smaller than the sum of its proper divisors (21392014878).

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

14546563434 is a wasteful number, since it uses less digits than its factorization.

14546563434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656791 (or 3656788 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 14546563434 in words is "fourteen billion, five hundred forty-six million, five hundred sixty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 3656753 7313506 10970259 21940518 32910777 47537789 62164801 65821554 95075578 124329602 142613367 186494403 285226734 372988806 427840101 559483209 808142413 855680202 1118966418 1616284826 2424427239 4848854478 7273281717 14546563434