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403112144031049 is a prime number
BaseRepresentation
bin101101110101000001101110…
…0001001100100110101001001
31221212022010220102022102122101
41123222003130021210311021
5410314042132332443144
63545203055030153401
7150623614501501315
oct13352033411446511
91855263812272571
10403112144031049
1110749799a214772
1239265a014b2861
13143c1409810c7b
147178a36392b45
153190d12ccd6d4
hex16ea0dc264d49

403112144031049 has 2 divisors, whose sum is σ = 403112144031050. Its totient is φ = 403112144031048.

The previous prime is 403112144030989. The next prime is 403112144031053. The reversal of 403112144031049 is 940130441211304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402312612983824 + 799531047225 = 20057732^2 + 894165^2 .

It is a cyclic number.

It is not a de Polignac number, because 403112144031049 - 217 = 403112143899977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 403112144030999 and 403112144031017.

It is not a weakly prime, because it can be changed into another prime (403112544031049) 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 as a sum of consecutive naturals, namely, 201556072015524 + 201556072015525.

It is an arithmetic number, because the mean of its divisors is an integer number (201556072015525).

Almost surely, 2403112144031049 is an apocalyptic number.

It is an amenable number.

403112144031049 is a deficient number, since it is larger than the sum of its proper divisors (1).

403112144031049 is an equidigital number, since it uses as much as digits as its factorization.

403112144031049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 403112144031049 in words is "four hundred three trillion, one hundred twelve billion, one hundred forty-four million, thirty-one thousand, forty-nine".