Search a number
-
+
14431319955 = 3251324668923
BaseRepresentation
bin11010111000010110…
…00111011110010011
31101020202002000022200
431130023013132103
5214023404214310
610344001134243
71020423124053
oct153413073623
941222060280
1014431319955
116136116308
12296902a383
13148ca981a0
149ac8b1563
15596e319c0
hex35c2c7793

14431319955 has 24 divisors (see below), whose sum is σ = 26938465008. Its totient is φ = 7104649536.

The previous prime is 14431319953. The next prime is 14431319977. The reversal of 14431319955 is 55991313441.

14431319955 is a `hidden beast` number, since 1 + 443 + 13 + 199 + 5 + 5 = 666.

It is not a de Polignac number, because 14431319955 - 21 = 14431319953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14431319955.

It is not an unprimeable number, because it can be changed into a prime (14431319951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12333877 + ... + 12335046.

It is an arithmetic number, because the mean of its divisors is an integer number (1122436042).

Almost surely, 214431319955 is an apocalyptic number.

14431319955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14431319955 is a deficient number, since it is larger than the sum of its proper divisors (12507145053).

14431319955 is a wasteful number, since it uses less digits than its factorization.

14431319955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24668947 (or 24668944 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 14431319955 in words is "fourteen billion, four hundred thirty-one million, three hundred nineteen thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 24668923 74006769 123344615 222020307 320695999 370033845 962087997 1110101535 1603479995 2886263991 4810439985 14431319955