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14430242043 = 337412417727
BaseRepresentation
bin11010111000001110…
…00000010011111011
31101020200001020201000
431130013000103323
5214023120221133
610343522100043
71020411014340
oct153407002373
941220036630
1014430242043
11613554a478
1229687aa623
13148c7ab679
149ac6b07c7
15596cbc413
hex35c1c04fb

14430242043 has 64 divisors (see below), whose sum is σ = 25135165440. Its totient is φ = 8010316800.

The previous prime is 14430242027. The next prime is 14430242051. The reversal of 14430242043 is 34024203441.

It is a happy number.

14430242043 is a `hidden beast` number, since 1 + 4 + 430 + 24 + 204 + 3 = 666.

14430242043 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14430242043 - 24 = 14430242027 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14430241998 and 14430242016.

It is not an unprimeable number, because it can be changed into a prime (14430242023) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1863646 + ... + 1871372.

It is an arithmetic number, because the mean of its divisors is an integer number (392736960).

Almost surely, 214430242043 is an apocalyptic number.

14430242043 is a deficient number, since it is larger than the sum of its proper divisors (10704923397).

14430242043 is a wasteful number, since it uses less digits than its factorization.

14430242043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 14430242043 its reverse (34024203441), we get a palindrome (48454445484).

The spelling of 14430242043 in words is "fourteen billion, four hundred thirty million, two hundred forty-two thousand, forty-three".

Divisors: 1 3 7 9 21 27 41 63 123 189 241 287 369 723 861 1107 1687 2169 2583 5061 6507 7727 7749 9881 15183 23181 29643 45549 54089 69167 69543 88929 162267 207501 208629 266787 316807 486801 622503 950421 1460403 1862207 1867509 2217649 2851263 5586621 6652947 8553789 13035449 16759863 19958841 39106347 50279589 59876523 76350487 117319041 229051461 351957123 534453409 687154383 1603360227 2061463149 4810080681 14430242043