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444640713313133 is a prime number
BaseRepresentation
bin110010100011001011111101…
…1110001010000101101101101
32011022100020101211000111001002
41211012113323301100231231
5431234443140102010013
64213401042423130045
7162441142244221241
oct14506277361205555
92138306354014032
10444640713313133
111197490819a6657
1241a524232a3925
131611459334196c
147bb2a22516421
1536611d30ac358
hex19465fbc50b6d

444640713313133 has 2 divisors, whose sum is σ = 444640713313134. Its totient is φ = 444640713313132.

The previous prime is 444640713313129. The next prime is 444640713313169. The reversal of 444640713313133 is 331313317046444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 381002408834089 + 63638304479044 = 19519283^2 + 7977362^2 .

It is a cyclic number.

It is not a de Polignac number, because 444640713313133 - 22 = 444640713313129 is a prime.

It is a super-2 number, since 2×4446407133131332 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444640713313733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222320356656566 + 222320356656567.

It is an arithmetic number, because the mean of its divisors is an integer number (222320356656567).

Almost surely, 2444640713313133 is an apocalyptic number.

It is an amenable number.

444640713313133 is a deficient number, since it is larger than the sum of its proper divisors (1).

444640713313133 is an equidigital number, since it uses as much as digits as its factorization.

444640713313133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 47.

The spelling of 444640713313133 in words is "four hundred forty-four trillion, six hundred forty billion, seven hundred thirteen million, three hundred thirteen thousand, one hundred thirty-three".