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14334436431 = 347217212447
BaseRepresentation
bin11010101100110011…
…00010010001001111
31100222222202211010000
431112121202101033
5213324103431211
610330220415343
71015135461600
oct152631422117
940888684100
1014334436431
116096463287
1229406a7553
1314759a6063
1499da91da7
1558d695656
hex35666244f

14334436431 has 60 divisors (see below), whose sum is σ = 26374569408. Its totient is φ = 7709240448.

The previous prime is 14334436427. The next prime is 14334436433. The reversal of 14334436431 is 13463443341.

14334436431 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 4 + 4 + 3 + 643 + 1 = 666.

14334436431 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 14334436431 - 22 = 14334436427 is a prime.

It is a super-2 number, since 2×143344364312 (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 (14334436433) 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 59 ways as a sum of consecutive naturals, for example, 38751 + ... + 173696.

Almost surely, 214334436431 is an apocalyptic number.

14334436431 is a deficient number, since it is larger than the sum of its proper divisors (12040132977).

14334436431 is a wasteful number, since it uses less digits than its factorization.

14334436431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212490 (or 212474 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 14334436431 its reverse (13463443341), we get a palindrome (27797879772).

The spelling of 14334436431 in words is "fourteen billion, three hundred thirty-four million, four hundred thirty-six thousand, four hundred thirty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 189 357 441 459 567 833 1071 1323 1377 2499 3213 3969 7497 9639 22491 67473 212447 637341 1487129 1912023 3611599 4461387 5736069 10409903 10834797 13384161 17208207 25281193 31229709 32504391 40152483 75843579 93689127 97513173 120457449 176968351 227530737 281067381 292539519 530905053 682592211 843202143 1592715159 2047776633 4778145477 14334436431