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14189435568 = 24327113141281
BaseRepresentation
bin11010011011100000…
…11001101010110000
31100121212221000022200
431031300121222300
5213024443414233
610304000503200
71011425132550
oct151560315260
940555830280
1014189435568
116021625a60
12290001ab00
131451937729
14988709160
15580aa2313
hex34dc19ab0

14189435568 has 240 divisors, whose sum is σ = 51107776512. Its totient is φ = 3566592000.

The previous prime is 14189435567. The next prime is 14189435587. The reversal of 14189435568 is 86553498141.

It is a happy number.

14189435568 is a `hidden beast` number, since 1 + 4 + 1 + 89 + 4 + 3 + 556 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (14189435567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323088 + ... + 364368.

Almost surely, 214189435568 is an apocalyptic number.

14189435568 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 14189435568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25553888256).

14189435568 is an abundant number, since it is smaller than the sum of its proper divisors (36918340944).

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

14189435568 is a wasteful number, since it uses less digits than its factorization.

14189435568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41344 (or 41335 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 14189435568 in words is "fourteen billion, one hundred eighty-nine million, four hundred thirty-five thousand, five hundred sixty-eight".