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14211230319 = 32111311042137
BaseRepresentation
bin11010011110000111…
…00010101001101111
31100200101221022002200
431033003202221233
5213101033332234
610310055552543
71012111315236
oct151703425157
940611838080
1014211230319
116032961750
12290738b753
1314562c8a30
1498b57db1d
15582959d99
hex34f0e2a6f

14211230319 has 24 divisors (see below), whose sum is σ = 24116029392. Its totient is φ = 7950337920.

The previous prime is 14211230311. The next prime is 14211230321. The reversal of 14211230319 is 91303211241.

14211230319 is a `hidden beast` number, since 1 + 421 + 1 + 230 + 3 + 1 + 9 = 666.

It is not a de Polignac number, because 14211230319 - 23 = 14211230311 is a prime.

It is a super-2 number, since 2×142112303192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14211230292 and 14211230301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14211230311) 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 23 ways as a sum of consecutive naturals, for example, 5519782 + ... + 5522355.

It is an arithmetic number, because the mean of its divisors is an integer number (1004834558).

Almost surely, 214211230319 is an apocalyptic number.

14211230319 is a deficient number, since it is larger than the sum of its proper divisors (9904799073).

14211230319 is a wasteful number, since it uses less digits than its factorization.

14211230319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11042167 (or 11042164 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 14211230319 in words is "fourteen billion, two hundred eleven million, two hundred thirty thousand, three hundred nineteen".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 11042137 33126411 99379233 121463507 143547781 364390521 430643343 1093171563 1291930029 1579025591 4737076773 14211230319