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14320234368 = 2732112694201
BaseRepresentation
bin11010101011000110…
…10110111110000000
31100222000001021112200
431111203112332000
5213311434444433
610324552153200
71014603661266
oct152543267600
940860037480
1014320234368
116089443040
122937998800
131472a7297b
1499bc36436
1558c2dc613
hex3558d6f80

14320234368 has 192 divisors, whose sum is σ = 45132001200. Its totient is φ = 4322304000.

The previous prime is 14320234367. The next prime is 14320234381. The reversal of 14320234368 is 86343202341.

14320234368 is a `hidden beast` number, since 1 + 43 + 20 + 234 + 368 = 666.

14320234368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×143202343682 (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 not an unprimeable number, because it can be changed into a prime (14320234361) 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 23 ways as a sum of consecutive naturals, for example, 3406668 + ... + 3410868.

Almost surely, 214320234368 is an apocalyptic number.

14320234368 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 14320234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22566000600).

14320234368 is an abundant number, since it is smaller than the sum of its proper divisors (30811766832).

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

14320234368 is a wasteful number, since it uses less digits than its factorization.

14320234368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 14320234368 in words is "fourteen billion, three hundred twenty million, two hundred thirty-four thousand, three hundred sixty-eight".