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14430142432 = 256173101267
BaseRepresentation
bin11010111000001101…
…00111111111100000
31101020122212012001201
431130012213333200
5214023104024212
610343520010544
71020410121046
oct153406477740
941218765051
1014430142432
116135491652
122968760a54
13148c775224
149ac686396
15596c9cb57
hex35c1a7fe0

14430142432 has 48 divisors (see below), whose sum is σ = 29270907792. Its totient is φ = 6999505920.

The previous prime is 14430142423. The next prime is 14430142471. The reversal of 14430142432 is 23424103441.

It is a self number, because there is not a number n which added to its sum of digits gives 14430142432.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 91863 + ... + 193129.

It is an arithmetic number, because the mean of its divisors is an integer number (609810579).

Almost surely, 214430142432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635453896).

14430142432 is an abundant number, since it is smaller than the sum of its proper divisors (14840765360).

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

14430142432 is a wasteful number, since it uses less digits than its factorization.

14430142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101411 (or 101403 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14430142432 its reverse (23424103441), we get a palindrome (37854245873).

The spelling of 14430142432 in words is "fourteen billion, four hundred thirty million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 73 122 146 244 292 488 584 976 1168 1952 2336 4453 8906 17812 35624 71248 101267 142496 202534 405068 810136 1620272 3240544 6177287 7392491 12354574 14784982 24709148 29569964 49418296 59139928 98836592 118279856 197673184 236559712 450941951 901883902 1803767804 3607535608 7215071216 14430142432