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431223313041 = 32275291740481
BaseRepresentation
bin1100100011001101110…
…10011001001010010001
31112020001200202000101100
412101212322121022101
524031121132004131
6530033512055013
743104054453123
oct6214672311221
91466050660340
10431223313041
11156976355644
126b6a7994469
133188329acc1
1416c2ac89213
15b33cb157e6
hex6466e99291

431223313041 has 12 divisors (see below), whose sum is σ = 622901102980. Its totient is φ = 287471600640.

The previous prime is 431223313013. The next prime is 431223313057. The reversal of 431223313041 is 140313322134.

It is a happy number.

431223313041 is a `hidden beast` number, since 4 + 3 + 1 + 22 + 331 + 304 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 222279246225 + 208944066816 = 471465^2 + 457104^2 .

It is not a de Polignac number, because 431223313041 - 211 = 431223310993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431223312996 and 431223313014.

It is not an unprimeable number, because it can be changed into a prime (431203313041) 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, 622480 + ... + 1118001.

Almost surely, 2431223313041 is an apocalyptic number.

It is an amenable number.

431223313041 is a deficient number, since it is larger than the sum of its proper divisors (191677789939).

431223313041 is a wasteful number, since it uses less digits than its factorization.

431223313041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768016 (or 1768013 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 431223313041 its reverse (140313322134), we get a palindrome (571536635175).

The spelling of 431223313041 in words is "four hundred thirty-one billion, two hundred twenty-three million, three hundred thirteen thousand, forty-one".

Divisors: 1 3 9 27529 82587 247761 1740481 5221443 15664329 47913701449 143741104347 431223313041