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404233241032053 = 32157253285621289
BaseRepresentation
bin101101111101001011110001…
…0101111001111010101110101
31222000021022122121002220002200
41123322113202233033111311
5410440424134201011203
63551422104241455113
7151100613355665366
oct13372274257172565
91860238577086080
10404233241032053
1110788a39a250884
123940713a641499
1314473053334794
1471b6dc96ddb6d
1531b007a98c9a3
hex16fa5e2bcf575

404233241032053 has 12 divisors (see below), whose sum is σ = 583896174389580. Its totient is φ = 269487112683456.

The previous prime is 404233241032039. The next prime is 404233241032129. The reversal of 404233241032053 is 350230142332404.

404233241032053 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 3 + 32 + 410 + 3 + 205 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74606630825169 + 329626610206884 = 8637513^2 + 18155622^2 .

It is not a de Polignac number, because 404233241032053 - 25 = 404233241032021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404233241031999 and 404233241032017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404233241030053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141395368 + ... + 144225921.

It is an arithmetic number, because the mean of its divisors is an integer number (48658014532465).

Almost surely, 2404233241032053 is an apocalyptic number.

It is an amenable number.

404233241032053 is a deficient number, since it is larger than the sum of its proper divisors (179662933357527).

404233241032053 is a wasteful number, since it uses less digits than its factorization.

404233241032053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285778548 (or 285778545 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 404233241032053 its reverse (350230142332404), we get a palindrome (754463383364457).

The spelling of 404233241032053 in words is "four hundred four trillion, two hundred thirty-three billion, two hundred forty-one million, thirty-two thousand, fifty-three".

Divisors: 1 3 9 157253 471759 1415277 285621289 856863867 2570591601 44914804559117 134744413677351 404233241032053