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400423456451441 is a prime number
BaseRepresentation
bin101101100001011101101100…
…1111000011010101101110001
31221111210002221011021200101102
41123002323121320122231301
5404441014214322421231
63535343555120214145
7150225432351242213
oct13302733170325561
91844702834250342
10400423456451441
111066506a8170155
1238ab08b946a355
1314257a01693557
1470c4854b965b3
153145dede4bacb
hex16c2ed9e1ab71

400423456451441 has 2 divisors, whose sum is σ = 400423456451442. Its totient is φ = 400423456451440.

The previous prime is 400423456451377. The next prime is 400423456451449. The reversal of 400423456451441 is 144154654324004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258517229697841 + 141906226753600 = 16078471^2 + 11912440^2 .

It is a cyclic number.

It is not a de Polignac number, because 400423456451441 - 26 = 400423456451377 is a prime.

It is not a weakly prime, because it can be changed into another prime (400423456451449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200211728225720 + 200211728225721.

It is an arithmetic number, because the mean of its divisors is an integer number (200211728225721).

Almost surely, 2400423456451441 is an apocalyptic number.

It is an amenable number.

400423456451441 is a deficient number, since it is larger than the sum of its proper divisors (1).

400423456451441 is an equidigital number, since it uses as much as digits as its factorization.

400423456451441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3686400, while the sum is 47.

The spelling of 400423456451441 in words is "four hundred trillion, four hundred twenty-three billion, four hundred fifty-six million, four hundred fifty-one thousand, four hundred forty-one".