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404023311030431 is a prime number
BaseRepresentation
bin101101111011101010000000…
…1111011110101100010011111
31221222112020210012202212012102
41123313110001323311202133
5410424004220110433211
63551141425145155315
7151046502200265341
oct13367240173654237
91858466705685172
10404023311030431
11107809362235474
123939251148bb3b
1314459308996001
1471aab928bb291
1531a9890885a3b
hex16f7501ef589f

404023311030431 has 2 divisors, whose sum is σ = 404023311030432. Its totient is φ = 404023311030430.

The previous prime is 404023311030407. The next prime is 404023311030433. The reversal of 404023311030431 is 134030113320404.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 404023311030431 - 234 = 404006131161247 is a prime.

It is a super-2 number, since 2×4040233110304312 (a number of 30 digits) contains 22 as substring.

Together with 404023311030433, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 404023311030394 and 404023311030403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404023311030433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202011655515215 + 202011655515216.

It is an arithmetic number, because the mean of its divisors is an integer number (202011655515216).

Almost surely, 2404023311030431 is an apocalyptic number.

404023311030431 is a deficient number, since it is larger than the sum of its proper divisors (1).

404023311030431 is an equidigital number, since it uses as much as digits as its factorization.

404023311030431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 404023311030431 its reverse (134030113320404), we get a palindrome (538053424350835).

The spelling of 404023311030431 in words is "four hundred four trillion, twenty-three billion, three hundred eleven million, thirty thousand, four hundred thirty-one".