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403814046133 is a prime number
BaseRepresentation
bin1011110000001010011…
…00010101100110110101
31102121022111100222200201
411320011030111212311
523104002343434013
6505302024240501
741113613521021
oct5700514254665
91377274328621
10403814046133
11146290557743
1266318610131
132c105882b84
141578a94d381
15a78668b3dd
hex5e053159b5

403814046133 has 2 divisors, whose sum is σ = 403814046134. Its totient is φ = 403814046132.

The previous prime is 403814046127. The next prime is 403814046221. The reversal of 403814046133 is 331640418304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 336425520484 + 67388525649 = 580022^2 + 259593^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-403814046133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 403814046092 and 403814046101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (403814046113) 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, 201907023066 + 201907023067.

It is an arithmetic number, because the mean of its divisors is an integer number (201907023067).

Almost surely, 2403814046133 is an apocalyptic number.

It is an amenable number.

403814046133 is a deficient number, since it is larger than the sum of its proper divisors (1).

403814046133 is an equidigital number, since it uses as much as digits as its factorization.

403814046133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 403814046133 in words is "four hundred three billion, eight hundred fourteen million, forty-six thousand, one hundred thirty-three".