Search a number
-
+
14514255264 = 253151190159
BaseRepresentation
bin11011000010001110…
…11111010110100000
31101110112010120011210
431201013133112200
5214211122132024
610400122510120
71022451064005
oct154107372640
941415116153
1014514255264
116178a11893
122990965340
1314a4015632
149b98dd8ac
1559e365129
hex3611df5a0

14514255264 has 24 divisors (see below), whose sum is σ = 38099920320. Its totient is φ = 4838085056.

The previous prime is 14514255263. The next prime is 14514255277. The reversal of 14514255264 is 46255241541.

14514255264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (14514255263) 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 3 ways as a sum of consecutive naturals, for example, 75594984 + ... + 75595175.

It is an arithmetic number, because the mean of its divisors is an integer number (1587496680).

Almost surely, 214514255264 is an apocalyptic number.

It is an amenable number.

14514255264 is an abundant number, since it is smaller than the sum of its proper divisors (23585665056).

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

14514255264 is a wasteful number, since it uses less digits than its factorization.

14514255264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151190172 (or 151190164 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

The spelling of 14514255264 in words is "fourteen billion, five hundred fourteen million, two hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151190159 302380318 453570477 604760636 907140954 1209521272 1814281908 2419042544 3628563816 4838085088 7257127632 14514255264