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14471405568 = 21334113193
BaseRepresentation
bin11010111101001000…
…00010000000000000
31101100112111120110000
431132210002000000
5214114134434233
610351552240000
71021420626534
oct153644020000
941315446400
1014471405568
116156805214
12297a540000
131498191999
149b3d47bc4
1559a6edd13
hex35e902000

14471405568 has 280 divisors, whose sum is σ = 43841497788. Its totient is φ = 4756340736.

The previous prime is 14471405563. The next prime is 14471405579. The reversal of 14471405568 is 86550417441.

14471405568 is a `hidden beast` number, since 1 + 4 + 47 + 1 + 40 + 5 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11601874944 + 2869530624 = 107712^2 + 53568^2 .

It is a super-2 number, since 2×144714055682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14471405561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74981280 + ... + 74981472.

Almost surely, 214471405568 is an apocalyptic number.

14471405568 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 14471405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21920748894).

14471405568 is an abundant number, since it is smaller than the sum of its proper divisors (29370092220).

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

14471405568 is an equidigital number, since it uses as much as digits as its factorization.

14471405568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 14471405568 in words is "fourteen billion, four hundred seventy-one million, four hundred five thousand, five hundred sixty-eight".