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402144305833 is a prime number
BaseRepresentation
bin1011101101000011010…
…10110010001010101001
31102110000010110101121101
411312201222302022221
523042042420241313
6504424220041401
741024340125344
oct5664152621251
91373003411541
10402144305833
11145603a82086
1265b31393261
132bbca96c86a
141566cca345b
15a6d9cb35dd
hex5da1ab22a9

402144305833 has 2 divisors, whose sum is σ = 402144305834. Its totient is φ = 402144305832.

The previous prime is 402144305831. The next prime is 402144305861. The reversal of 402144305833 is 338503441204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292819512384 + 109324793449 = 541128^2 + 330643^2 .

It is a cyclic number.

It is not a de Polignac number, because 402144305833 - 21 = 402144305831 is a prime.

It is a super-3 number, since 3×4021443058333 (a number of 36 digits) contains 333 as substring.

Together with 402144305831, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 402144305792 and 402144305801.

It is not a weakly prime, because it can be changed into another prime (402144305831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201072152916 + 201072152917.

It is an arithmetic number, because the mean of its divisors is an integer number (201072152917).

Almost surely, 2402144305833 is an apocalyptic number.

It is an amenable number.

402144305833 is a deficient number, since it is larger than the sum of its proper divisors (1).

402144305833 is an equidigital number, since it uses as much as digits as its factorization.

402144305833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 402144305833 in words is "four hundred two billion, one hundred forty-four million, three hundred five thousand, eight hundred thirty-three".