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14389433184 = 253731977121
BaseRepresentation
bin11010110011010110…
…10101001101100000
31101010211020221110210
431121223111031200
5213432143330214
610335503254120
71016404110150
oct153153251540
941124227423
1014389433184
116114507145
122956baa340
1314841c0909
149a70ca760
1559340ab59
hex359ad5360

14389433184 has 192 divisors, whose sum is σ = 45026537472. Its totient is φ = 3937075200.

The previous prime is 14389433171. The next prime is 14389433189. The reversal of 14389433184 is 48133498341.

14389433184 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14389433189) 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 31 ways as a sum of consecutive naturals, for example, 2017144 + ... + 2024264.

It is an arithmetic number, because the mean of its divisors is an integer number (234513216).

Almost surely, 214389433184 is an apocalyptic number.

14389433184 is a gapful number since it is divisible by the number (14) 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 14389433184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22513268736).

14389433184 is an abundant number, since it is smaller than the sum of its proper divisors (30637104288).

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

14389433184 is a wasteful number, since it uses less digits than its factorization.

14389433184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7261 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 14389433184 in words is "fourteen billion, three hundred eighty-nine million, four hundred thirty-three thousand, one hundred eighty-four".