Search a number
-
+
14405344164 = 2232400148449
BaseRepresentation
bin11010110101010000…
…00001101110100100
31101011221012022020100
431122220001232210
5214000232003124
610341232304100
71016656255641
oct153250015644
941157168210
1014405344164
116122494312
1229603a2030
1314875a1ab3
149a926cdc8
15594a001c9
hex35aa01ba4

14405344164 has 18 divisors (see below), whose sum is σ = 36413508950. Its totient is φ = 4801781376.

The previous prime is 14405344147. The next prime is 14405344169. The reversal of 14405344164 is 46144350441.

14405344164 is a `hidden beast` number, since 1 + 440 + 53 + 4 + 4 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8078414400 + 6326929764 = 89880^2 + 79542^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 400148449 = 14405344164 / (1 + 4 + 4 + 0 + 5 + 3 + 4 + 4 + 1 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (14405344169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200074189 + ... + 200074260.

Almost surely, 214405344164 is an apocalyptic number.

It is an amenable number.

14405344164 is an abundant number, since it is smaller than the sum of its proper divisors (22008164786).

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

14405344164 is a wasteful number, since it uses less digits than its factorization.

14405344164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400148459 (or 400148454 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 14405344164 in words is "fourteen billion, four hundred five million, three hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 400148449 800296898 1200445347 1600593796 2400890694 3601336041 4801781388 7202672082 14405344164