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14034024432 = 2432299932497
BaseRepresentation
bin11010001000111111…
…00011011111110000
31100020001111022022200
431010133203133300
5212220202240212
610240325503200
71004530145061
oct150437433760
940201438280
1014034024432
115a519282aa
122877b71b00
13142869288c
14971c12568
155721046dc
hex3447e37f0

14034024432 has 60 divisors (see below), whose sum is σ = 39290082000. Its totient is φ = 4676304384.

The previous prime is 14034024421. The next prime is 14034024451. The reversal of 14034024432 is 23442043041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14034024396 and 14034024405.

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 11 ways as a sum of consecutive naturals, for example, 415608 + ... + 448104.

It is an arithmetic number, because the mean of its divisors is an integer number (654834700).

Almost surely, 214034024432 is an apocalyptic number.

14034024432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14034024432 is an abundant number, since it is smaller than the sum of its proper divisors (25256057568).

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

14034024432 is a wasteful number, since it uses less digits than its factorization.

14034024432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35510 (or 35501 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 14034024432 its reverse (23442043041), we get a palindrome (37476067473).

The spelling of 14034024432 in words is "fourteen billion, thirty-four million, twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2999 5998 8997 11996 17994 23992 26991 32497 35988 47984 53982 64994 71976 97491 107964 129988 143952 194982 215928 259976 292473 389964 431856 519952 584946 779928 1169892 1559856 2339784 4679568 97458503 194917006 292375509 389834012 584751018 779668024 877126527 1169502036 1559336048 1754253054 2339004072 3508506108 4678008144 7017012216 14034024432