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12314123404353 = 321637835819141
BaseRepresentation
bin1011001100110001101011…
…1100111000010001000001
31121121012220102200102001200
42303030122330320101001
53103223311042414403
642105010304451413
72410444312624011
oct263143274702101
947535812612050
1012314123404353
113a184326a6901
12146a687019b69
136b42a8576994
1430801475bc41
151654ba48bca3
hexb331af38441

12314123404353 has 12 divisors (see below), whose sum is σ = 17797932809748. Its totient is φ = 8204400678240.

The previous prime is 12314123404339. The next prime is 12314123404379. The reversal of 12314123404353 is 35340432141321.

12314123404353 is a `hidden beast` number, since 1 + 2 + 31 + 41 + 234 + 0 + 4 + 353 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6658706719809 + 5655416684544 = 2580447^2 + 2378112^2 .

It is not a de Polignac number, because 12314123404353 - 225 = 12314089849921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12314123404393) 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, 417894838 + ... + 417924303.

It is an arithmetic number, because the mean of its divisors is an integer number (1483161067479).

Almost surely, 212314123404353 is an apocalyptic number.

It is an amenable number.

12314123404353 is a deficient number, since it is larger than the sum of its proper divisors (5483809405395).

12314123404353 is a wasteful number, since it uses less digits than its factorization.

12314123404353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835820784 (or 835820781 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12314123404353 its reverse (35340432141321), we get a palindrome (47654555545674).

The spelling of 12314123404353 in words is "twelve trillion, three hundred fourteen billion, one hundred twenty-three million, four hundred four thousand, three hundred fifty-three".

Divisors: 1 3 9 1637 4911 14733 835819141 2507457423 7522372269 1368235933817 4104707801451 12314123404353