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14304413412 = 2232419691337
BaseRepresentation
bin11010101001001110…
…00000011011100100
31100220220021111021100
431110213000123210
5213243412212122
610323225120100
71014322336122
oct152447003344
940826244240
1014304413412
116080517573
122932629030
13146c6c3763
14999ab8912
1558ac14aac
hex3549c06e4

14304413412 has 36 divisors (see below), whose sum is σ = 37040293836. Its totient is φ = 4651841280.

The previous prime is 14304413407. The next prime is 14304413413. The reversal of 14304413412 is 21431440341.

14304413412 is a `hidden beast` number, since 14 + 304 + 4 + 1 + 341 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 564822756 + 13739590656 = 23766^2 + 117216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×143044134122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14304413413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4844193 + ... + 4847144.

It is an arithmetic number, because the mean of its divisors is an integer number (1028897051).

Almost surely, 214304413412 is an apocalyptic number.

14304413412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14304413412 is an abundant number, since it is smaller than the sum of its proper divisors (22735880424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14304413412 is a wasteful number, since it uses less digits than its factorization.

14304413412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9691388 (or 9691383 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14304413412 its reverse (21431440341), we get a palindrome (35735853753).

It can be divided in two parts, 14304 and 413412, that added together give a square (427716 = 6542).

The spelling of 14304413412 in words is "fourteen billion, three hundred four million, four hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 9691337 19382674 29074011 38765348 58148022 87222033 116296044 174444066 348888132 397344817 794689634 1192034451 1589379268 2384068902 3576103353 4768137804 7152206706 14304413412