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12345840441 = 3211400331153
BaseRepresentation
bin10110111111101111…
…01001001100111001
31011212101212200020200
423133313221030321
5200241013343231
65401022112413
7614640624624
oct133767511471
934771780220
1012345840441
1152659a5720
12248671b709
1312199c263c
14851924dbb
154c3cd6be6
hex2dfde9339

12345840441 has 24 divisors (see below), whose sum is σ = 19459536096. Its totient is φ = 7480218240.

The previous prime is 12345840421. The next prime is 12345840469. The reversal of 12345840441 is 14404854321.

12345840441 is a `hidden beast` number, since 1 + 2 + 34 + 584 + 0 + 4 + 41 = 666.

It is not a de Polignac number, because 12345840441 - 29 = 12345839929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12345840396 and 12345840405.

It is not an unprimeable number, because it can be changed into a prime (12345840421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380721 + ... + 411873.

It is an arithmetic number, because the mean of its divisors is an integer number (810814004).

Almost surely, 212345840441 is an apocalyptic number.

12345840441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12345840441 is a deficient number, since it is larger than the sum of its proper divisors (7113695655).

12345840441 is a wasteful number, since it uses less digits than its factorization.

12345840441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35173 (or 35170 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 12345840441 in words is "twelve billion, three hundred forty-five million, eight hundred forty thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 4003 12009 31153 36027 44033 93459 132099 280377 342683 396297 1028049 3084147 124705459 374116377 1122349131 1371760049 4115280147 12345840441