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14380212528 = 2434111815573
BaseRepresentation
bin11010110010010000…
…01010000100110000
31101010011220111010000
431121020022010300
5213422313300103
610334533510000
71016232534603
oct153110120460
941104814100
1014380212528
11610a289570
122953aa2300
1314823129c6
149a5baa33a
155926d8aa3
hex35920a130

14380212528 has 200 divisors, whose sum is σ = 45663233616. Its totient is φ = 4332787200.

The previous prime is 14380212499. The next prime is 14380212593. The reversal of 14380212528 is 82521208341.

It is a happy number.

14380212528 is a `hidden beast` number, since 1 + 4 + 380 + 21 + 252 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14380212492 and 14380212501.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2577550 + ... + 2583122.

Almost surely, 214380212528 is an apocalyptic number.

14380212528 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 14380212528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22831616808).

14380212528 is an abundant number, since it is smaller than the sum of its proper divisors (31283021088).

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

14380212528 is a wasteful number, since it uses less digits than its factorization.

14380212528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 14380212528 in words is "fourteen billion, three hundred eighty million, two hundred twelve thousand, five hundred twenty-eight".