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14530213368 = 233211219412141
BaseRepresentation
bin11011000100001000…
…10111010111111000
31101111122011022120200
431202010113113320
5214224213311433
610401452522200
71023033530046
oct154204272770
941448138520
1014530213368
116186a21400
122996180360
1314a74120b8
149bba95396
155a0968613
hex3621175f8

14530213368 has 288 divisors, whose sum is σ = 46664326800. Its totient is φ = 4067712000.

The previous prime is 14530213343. The next prime is 14530213381. The reversal of 14530213368 is 86331203541.

14530213368 is a `hidden beast` number, since 14 + 5 + 302 + 1 + 336 + 8 = 666.

14530213368 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 2×145302133682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 6785578 + ... + 6787718.

Almost surely, 214530213368 is an apocalyptic number.

14530213368 is a gapful number since it is divisible by the number (18) 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 14530213368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23332163400).

14530213368 is an abundant number, since it is smaller than the sum of its proper divisors (32134113432).

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

14530213368 is a wasteful number, since it uses less digits than its factorization.

14530213368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 14530213368 in words is "fourteen billion, five hundred thirty million, two hundred thirteen thousand, three hundred sixty-eight".