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14130433512 = 233213291274099
BaseRepresentation
bin11010010100011110…
…10100110111101000
31100110202220101201100
431022033110313220
5212414342333022
610254052121400
71010110463106
oct151217246750
940422811640
1014130433512
115aa1296928
1228a4306260
131442649a80
1498094ac76
1557a7ea1ac
hex34a3d4de8

14130433512 has 192 divisors, whose sum is σ = 42981120000. Its totient is φ = 4163830272.

The previous prime is 14130433489. The next prime is 14130433523. The reversal of 14130433512 is 21533403141.

It is a happy number.

14130433512 is a `hidden beast` number, since 1 + 4 + 1 + 304 + 3 + 351 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3445239 + ... + 3449337.

It is an arithmetic number, because the mean of its divisors is an integer number (223860000).

Almost surely, 214130433512 is an apocalyptic number.

14130433512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 118871×118872.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130433512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21490560000).

14130433512 is an abundant number, since it is smaller than the sum of its proper divisors (28850686488).

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

14130433512 is a wasteful number, since it uses less digits than its factorization.

14130433512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14130433512 its reverse (21533403141), we get a palindrome (35663836653).

The spelling of 14130433512 in words is "fourteen billion, one hundred thirty million, four hundred thirty-three thousand, five hundred twelve".