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12444431211 = 324332156153
BaseRepresentation
bin10111001011011111…
…01111001101101011
31012010021101121100200
423211233233031223
5200441233244321
65414503203243
7620245630362
oct134557571553
935107347320
1012444431211
1153066143a3
1224b3746523
131234261884
14860a6a7d9
154cc7add26
hex2e5bef36b

12444431211 has 12 divisors (see below), whose sum is σ = 18393320088. Its totient is φ = 8103350304.

The previous prime is 12444431179. The next prime is 12444431213. The reversal of 12444431211 is 11213444421.

12444431211 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 443 + 1 + 211 = 666.

It is not a de Polignac number, because 12444431211 - 25 = 12444431179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12444431213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16077690 + ... + 16078463.

It is an arithmetic number, because the mean of its divisors is an integer number (1532776674).

Almost surely, 212444431211 is an apocalyptic number.

12444431211 is a deficient number, since it is larger than the sum of its proper divisors (5948888877).

12444431211 is a wasteful number, since it uses less digits than its factorization.

12444431211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32156202 (or 32156199 counting only the distinct ones).

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

Adding to 12444431211 its reverse (11213444421), we get a palindrome (23657875632).

The spelling of 12444431211 in words is "twelve billion, four hundred forty-four million, four hundred thirty-one thousand, two hundred eleven".

Divisors: 1 3 9 43 129 387 32156153 96468459 289405377 1382714579 4148143737 12444431211