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14313340431 = 3213532308231
BaseRepresentation
bin11010101010010010…
…00011111000001111
31100221112002000211200
431111021003320033
5213303203343211
610324144320543
71014461246325
oct152511037017
940845060750
1014313340431
116085564575
122935613153
1314714cab10
1499ad5dd15
1558b8c9b56
hex355243e0f

14313340431 has 24 divisors (see below), whose sum is σ = 22685304096. Its totient is φ = 8642013120.

The previous prime is 14313340403. The next prime is 14313340439. The reversal of 14313340431 is 13404331341.

14313340431 is a `hidden beast` number, since 1 + 4 + 313 + 340 + 4 + 3 + 1 = 666.

14313340431 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 14313340431 - 215 = 14313307663 is a prime.

It is a super-2 number, since 2×143133404312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14313340395 and 14313340404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14313340439) 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 23 ways as a sum of consecutive naturals, for example, 1147915 + ... + 1160316.

It is an arithmetic number, because the mean of its divisors is an integer number (945221004).

Almost surely, 214313340431 is an apocalyptic number.

14313340431 is a deficient number, since it is larger than the sum of its proper divisors (8371963665).

14313340431 is a wasteful number, since it uses less digits than its factorization.

14313340431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308303 (or 2308300 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 14313340431 its reverse (13404331341), we get a palindrome (27717671772).

The spelling of 14313340431 in words is "fourteen billion, three hundred thirteen million, three hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 6201 2308231 6924693 20774079 30007003 90021009 122336243 270063027 367008729 1101026187 1590371159 4771113477 14313340431