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14443214319 = 3212728344651
BaseRepresentation
bin11010111001110000…
…11111010111101111
31101021120110022022200
431130320133113233
5214034430324234
610345104112543
71020626203362
oct153470372757
941246408280
1014443214319
1161418aa766
122971005753
1314923a1081
149b02ca0d9
15597ed0d99
hex35ce1f5ef

14443214319 has 24 divisors (see below), whose sum is σ = 21101463552. Its totient is φ = 9519022800.

The previous prime is 14443214299. The next prime is 14443214327. The reversal of 14443214319 is 91341234441.

14443214319 is a `hidden beast` number, since 14 + 4 + 4 + 321 + 4 + 319 = 666.

It is not a de Polignac number, because 14443214319 - 220 = 14442165743 is a prime.

It is a super-2 number, since 2×144432143192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14443214339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301144 + ... + 345794.

It is an arithmetic number, because the mean of its divisors is an integer number (879227648).

Almost surely, 214443214319 is an apocalyptic number.

14443214319 is a deficient number, since it is larger than the sum of its proper divisors (6658249233).

14443214319 is a wasteful number, since it uses less digits than its factorization.

14443214319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45067 (or 45064 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 14443214319 in words is "fourteen billion, four hundred forty-three million, two hundred fourteen thousand, three hundred nineteen".

Divisors: 1 3 9 127 283 381 849 1143 2547 35941 44651 107823 133953 323469 401859 5670677 12636233 17012031 37908699 51036093 113726097 1604801591 4814404773 14443214319