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44341114822177 is a prime number
BaseRepresentation
bin10100001010011111110000…
…11001011101111000100001
312210222222011112100010000111
422011033320121131320201
521302441100343302202
6234150005452451321
712224353106151445
oct1205177031357041
9183888145303014
1044341114822177
1113145a6338a418
124b81731779b41
131b98470214734
14ad419b204825
1551d632b806d7
hex2853f865de21

44341114822177 has 2 divisors, whose sum is σ = 44341114822178. Its totient is φ = 44341114822176.

The previous prime is 44341114822129. The next prime is 44341114822189. The reversal of 44341114822177 is 77122841114344.

44341114822177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43292833713441 + 1048281108736 = 6579729^2 + 1023856^2 .

It is a cyclic number.

It is not a de Polignac number, because 44341114822177 - 227 = 44340980604449 is a prime.

It is a super-2 number, since 2×443411148221772 (a number of 28 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 44341114822177.

It is not a weakly prime, because it can be changed into another prime (44341114828177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22170557411088 + 22170557411089.

It is an arithmetic number, because the mean of its divisors is an integer number (22170557411089).

Almost surely, 244341114822177 is an apocalyptic number.

It is an amenable number.

44341114822177 is a deficient number, since it is larger than the sum of its proper divisors (1).

44341114822177 is an equidigital number, since it uses as much as digits as its factorization.

44341114822177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1204224, while the sum is 49.

The spelling of 44341114822177 in words is "forty-four trillion, three hundred forty-one billion, one hundred fourteen million, eight hundred twenty-two thousand, one hundred seventy-seven".