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14034124032 = 28318273599
BaseRepresentation
bin11010001000111111…
…11011110100000000
31100020001200100221120
431010133323310000
5212220213432112
610240331552240
71004531041335
oct150437736400
940201610846
1014034124032
115a51996115
122877bbb680
1314286c9006
14971c3a98c
15572123e8c
hex3447fbd00

14034124032 has 36 divisors (see below), whose sum is σ = 37351238400. Its totient is φ = 4678041088.

The previous prime is 14034123997. The next prime is 14034124063. The reversal of 14034124032 is 23042143041.

14034124032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14034123993 and 14034124011.

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 3 ways as a sum of consecutive naturals, for example, 9136032 + ... + 9137567.

It is an arithmetic number, because the mean of its divisors is an integer number (1037534400).

Almost surely, 214034124032 is an apocalyptic number.

14034124032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14034124032 is an abundant number, since it is smaller than the sum of its proper divisors (23317114368).

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

14034124032 is an equidigital number, since it uses as much as digits as its factorization.

14034124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18273618 (or 18273604 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14034124032 its reverse (23042143041), we get a palindrome (37076267073).

The spelling of 14034124032 in words is "fourteen billion, thirty-four million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 18273599 36547198 54820797 73094396 109641594 146188792 219283188 292377584 438566376 584755168 877132752 1169510336 1754265504 2339020672 3508531008 4678041344 7017062016 14034124032