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14344354431 = 32117110319813
BaseRepresentation
bin11010101101111110…
…10111101001111111
31101000200102201001100
431112333113221333
5213334123320211
610331213144143
71015316000211
oct152677275177
941020381040
1014344354431
1160a1017880
122943a8b053
131477a694b4
149a11145b1
1558e4a4156
hex356fd7a7f

14344354431 has 48 divisors (see below), whose sum is σ = 23145288192. Its totient is φ = 8487460800.

The previous prime is 14344354373. The next prime is 14344354447. The reversal of 14344354431 is 13445344341.

14344354431 is a `hidden beast` number, since 1 + 43 + 4 + 43 + 544 + 31 = 666.

It is not a de Polignac number, because 14344354431 - 229 = 13807483519 is a prime.

It is a super-2 number, since 2×143443544312 (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 (14344354331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714081 + ... + 733893.

It is an arithmetic number, because the mean of its divisors is an integer number (482193504).

Almost surely, 214344354431 is an apocalyptic number.

14344354431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14344354431 is a deficient number, since it is larger than the sum of its proper divisors (8800933761).

14344354431 is a wasteful number, since it uses less digits than its factorization.

14344354431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20004 (or 20001 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 14344354431 its reverse (13445344341), we get a palindrome (27789698772).

The spelling of 14344354431 in words is "fourteen billion, three hundred forty-four million, three hundred fifty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 71 99 103 213 309 639 781 927 1133 2343 3399 7029 7313 10197 19813 21939 59439 65817 80443 178317 217943 241329 653829 723987 1406723 1961487 2040739 4220169 6122217 12660507 15473953 18366651 22448129 46421859 67344387 139265577 144892469 202033161 434677407 1304032221 1593817159 4781451477 14344354431