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12423414411 = 32171095031481
BaseRepresentation
bin10111001000111111…
…00100001010001011
31012001210211211201200
423210133210022023
5200420343230121
65412432515243
7616602165042
oct134437441213
935053754650
1012423414411
1152a576a141
1224a86abb23
13122cab36b5
1485bd59559
154caa0ba26
hex2e47e428b

12423414411 has 48 divisors (see below), whose sum is σ = 19225926720. Its totient is φ = 7703009280.

The previous prime is 12423414361. The next prime is 12423414427. The reversal of 12423414411 is 11441432421.

12423414411 is a `hidden beast` number, since 1 + 2 + 4 + 234 + 14 + 411 = 666.

12423414411 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 12423414411 - 217 = 12423283339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12423414431) 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 47 ways as a sum of consecutive naturals, for example, 8387791 + ... + 8389271.

It is an arithmetic number, because the mean of its divisors is an integer number (400540140).

Almost surely, 212423414411 is an apocalyptic number.

12423414411 is a deficient number, since it is larger than the sum of its proper divisors (6802512309).

12423414411 is a wasteful number, since it uses less digits than its factorization.

12423414411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2113 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 12423414411 its reverse (11441432421), we get a palindrome (23864846832).

The spelling of 12423414411 in words is "twelve billion, four hundred twenty-three million, four hundred fourteen thousand, four hundred eleven".

Divisors: 1 3 9 17 51 109 153 327 503 981 1481 1509 1853 4443 4527 5559 8551 13329 16677 25177 25653 54827 75531 76959 161429 164481 226593 484287 493443 744943 932059 1452861 2234829 2744293 2796177 6704487 8232879 8388531 12664031 24698637 37992093 81198787 113976279 243596361 730789083 1380379379 4141138137 12423414411