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14530344312 = 23311172432103
BaseRepresentation
bin11011000100001001…
…10111010101111000
31101111122101222012110
431202010313111320
5214224232004222
610401455412320
71023034613601
oct154204672570
941448358173
1014530344312
116187000820
1229962240a0
1314a7459893
149bbacada8
155a099230c
hex362137578

14530344312 has 288 divisors, whose sum is σ = 43516586880. Its totient is φ = 4008453120.

The previous prime is 14530344271. The next prime is 14530344317. The reversal of 14530344312 is 21344303541.

14530344312 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 2×145303443122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14530344312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14530344317) 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 71 ways as a sum of consecutive naturals, for example, 141071253 + ... + 141071355.

It is an arithmetic number, because the mean of its divisors is an integer number (151099260).

Almost surely, 214530344312 is an apocalyptic number.

14530344312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14530344312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21758293440).

14530344312 is an abundant number, since it is smaller than the sum of its proper divisors (28986242568).

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

14530344312 is a wasteful number, since it uses less digits than its factorization.

14530344312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 14530344312 its reverse (21344303541), we get a palindrome (35874647853).

The spelling of 14530344312 in words is "fourteen billion, five hundred thirty million, three hundred forty-four thousand, three hundred twelve".