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444141301233397 is a prime number
BaseRepresentation
bin110010011111100011011010…
…0011111010111011011110101
32011020120111022221002012210011
41210333012310133113123311
5431203302341103432042
64212335410321100221
7162360102324460045
oct14477066437273365
92136514287065704
10444141301233397
111195762a4896379
1241991687187671
13160a9463c50401
147b967a7413725
153653203daca17
hex193f1b47d76f5

444141301233397 has 2 divisors, whose sum is σ = 444141301233398. Its totient is φ = 444141301233396.

The previous prime is 444141301233347. The next prime is 444141301233473. The reversal of 444141301233397 is 793332103141444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 391419673980241 + 52721627253156 = 19784329^2 + 7260966^2 .

It is a cyclic number.

It is not a de Polignac number, because 444141301233397 - 27 = 444141301233269 is a prime.

It is a super-2 number, since 2×4441413012333972 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444141301233397.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444141301233347) 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 as a sum of consecutive naturals, namely, 222070650616698 + 222070650616699.

It is an arithmetic number, because the mean of its divisors is an integer number (222070650616699).

Almost surely, 2444141301233397 is an apocalyptic number.

It is an amenable number.

444141301233397 is a deficient number, since it is larger than the sum of its proper divisors (1).

444141301233397 is an equidigital number, since it uses as much as digits as its factorization.

444141301233397 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 49.

The spelling of 444141301233397 in words is "four hundred forty-four trillion, one hundred forty-one billion, three hundred one million, two hundred thirty-three thousand, three hundred ninety-seven".