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14318434314 = 2351719531721
BaseRepresentation
bin11010101010111000…
…11111100000001010
31100221212122211100000
431111130133200022
5213311004344224
610324445423430
71014552453312
oct152534374012
940855584300
1014318434314
116088423698
12293726ab76
131472592552
1499b8c8442
1558c0840c9
hex35571f80a

14318434314 has 192 divisors, whose sum is σ = 36555442560. Its totient is φ = 4172912640.

The previous prime is 14318434309. The next prime is 14318434327. The reversal of 14318434314 is 41343481341.

14318434314 is a `hidden beast` number, since 1 + 43 + 184 + 3 + 431 + 4 = 666.

14318434314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143184343142 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8318974 + ... + 8320694.

It is an arithmetic number, because the mean of its divisors is an integer number (190392930).

Almost surely, 214318434314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14318434314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18277721280).

14318434314 is an abundant number, since it is smaller than the sum of its proper divisors (22237008246).

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

14318434314 is a wasteful number, since it uses less digits than its factorization.

14318434314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1815 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 14318434314 in words is "fourteen billion, three hundred eighteen million, four hundred thirty-four thousand, three hundred fourteen".