Search a number
-
+
14240607464 = 2317195511071
BaseRepresentation
bin11010100001100111…
…00110110011101000
31100202110012210222002
431100303212303220
5213131043414324
610313025350132
71012616111006
oct152063466350
940673183862
1014240607464
1160484a7186
122915198348
13145c413365
14991429a76
1558530e3ae
hex350ce6ce8

14240607464 has 32 divisors (see below), whose sum is σ = 29759788800. Its totient is φ = 6348752640.

The previous prime is 14240607463. The next prime is 14240607523. The reversal of 14240607464 is 46470604241.

It is a happy number.

14240607464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142406074642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (14240607463) 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, 2752952 + ... + 2758119.

It is an arithmetic number, because the mean of its divisors is an integer number (929993400).

Almost surely, 214240607464 is an apocalyptic number.

It is an amenable number.

14240607464 is an abundant number, since it is smaller than the sum of its proper divisors (15519181336).

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

14240607464 is a wasteful number, since it uses less digits than its factorization.

14240607464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511113 (or 5511109 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 14240607464 in words is "fourteen billion, two hundred forty million, six hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 4 8 17 19 34 38 68 76 136 152 323 646 1292 2584 5511071 11022142 22044284 44088568 93688207 104710349 187376414 209420698 374752828 418841396 749505656 837682792 1780075933 3560151866 7120303732 14240607464