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14435052144 = 2431392163527
BaseRepresentation
bin11010111000110010…
…10110101001110000
31101021000002121220220
431130121112221300
5214030333132034
610344213133040
71020466630062
oct153431265160
941230077826
1014435052144
116138235367
12296a32a180
1314907a3b96
149ad1a3732
1559741c749
hex35c656a70

14435052144 has 40 divisors (see below), whose sum is σ = 37558846080. Its totient is φ = 4777065408.

The previous prime is 14435052131. The next prime is 14435052157. The reversal of 14435052144 is 44125053441.

It is a happy number.

14435052144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14435052131) and next prime (14435052157).

It is a congruent number.

It is an unprimeable number.

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, 1075092 + ... + 1088435.

It is an arithmetic number, because the mean of its divisors is an integer number (938971152).

Almost surely, 214435052144 is an apocalyptic number.

It is an amenable number.

14435052144 is an abundant number, since it is smaller than the sum of its proper divisors (23123793936).

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

14435052144 is a wasteful number, since it uses less digits than its factorization.

14435052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163677 (or 2163671 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 14435052144 in words is "fourteen billion, four hundred thirty-five million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1668 2224 3336 6672 2163527 4327054 6490581 8654108 12981162 17308216 25962324 34616432 51924648 103849296 300730253 601460506 902190759 1202921012 1804381518 2405842024 3608763036 4811684048 7217526072 14435052144