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14430330337 = 1731216112671
BaseRepresentation
bin11010111000001110…
…10101110111100001
31101020200012201211011
431130013111313201
5214023131032322
610343524020521
71020411532633
oct153407256741
941220181734
1014430330337
1161355aa845
122968831741
13148c80c907
149ac6d4a53
15596cd8677
hex35c1d5de1

14430330337 has 16 divisors (see below), whose sum is σ = 15780593664. Its totient is φ = 13136256000.

The previous prime is 14430330329. The next prime is 14430330379. The reversal of 14430330337 is 73303303441.

It is a cyclic number.

It is not a de Polignac number, because 14430330337 - 23 = 14430330329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14430330299 and 14430330308.

It is not an unprimeable number, because it can be changed into a prime (14430330307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132512 + ... + 1145182.

It is an arithmetic number, because the mean of its divisors is an integer number (986287104).

Almost surely, 214430330337 is an apocalyptic number.

14430330337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

14430330337 is a deficient number, since it is larger than the sum of its proper divisors (1350263327).

14430330337 is a wasteful number, since it uses less digits than its factorization.

14430330337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14880.

The product of its (nonzero) digits is 27216, while the sum is 31.

Adding to 14430330337 its reverse (73303303441), we get a palindrome (87733633778).

The spelling of 14430330337 in words is "fourteen billion, four hundred thirty million, three hundred thirty thousand, three hundred thirty-seven".

Divisors: 1 17 31 527 2161 12671 36737 66991 215407 392801 1138847 6677617 27382031 465494527 848842961 14430330337