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14144600424 = 2332903203017
BaseRepresentation
bin11010010110001010…
…10111100101101000
31100111202120011001210
431023011113211220
5212432004203144
610255315513120
71010342056053
oct151305274550
940452504053
1014144600424
115aa9292719
1228a8bb87a0
13144556a166
14982797a9a
1557bb97ab9
hex34b157968

14144600424 has 32 divisors (see below), whose sum is σ = 35373856320. Its totient is φ = 4713219456.

The previous prime is 14144600401. The next prime is 14144600429. The reversal of 14144600424 is 42400644141.

14144600424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14144600391 and 14144600400.

It is not an unprimeable number, because it can be changed into a prime (14144600429) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31837 + ... + 171180.

It is an arithmetic number, because the mean of its divisors is an integer number (1105433010).

Almost surely, 214144600424 is an apocalyptic number.

It is an amenable number.

14144600424 is an abundant number, since it is smaller than the sum of its proper divisors (21229255896).

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

14144600424 is a wasteful number, since it uses less digits than its factorization.

14144600424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205929 (or 205925 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 14144600424 in words is "fourteen billion, one hundred forty-four million, six hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 2903 5806 8709 11612 17418 23224 34836 69672 203017 406034 609051 812068 1218102 1624136 2436204 4872408 589358351 1178716702 1768075053 2357433404 3536150106 4714866808 7072300212 14144600424