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444400434341341 = 53157391113655611
BaseRepresentation
bin110010100001011100000101…
…0000001101110010111011101
32011021111021012100202000200121
41211002320022001232113131
5431222024042142410331
64213054424030554541
7162414605020524502
oct14502701201562735
92137437170660617
10444400434341341
11119666190765815
1241a13946368a51
13160c7a2022588a
147ba514aba94a9
153659d1d8e7c11
hex1942e0a06e5dd

444400434341341 has 16 divisors (see below), whose sum is σ = 455785874356608. Its totient is φ = 433127545531200.

The previous prime is 444400434341257. The next prime is 444400434341359. The reversal of 444400434341341 is 143143434004444.

It is a cyclic number.

It is not a de Polignac number, because 444400434341341 - 227 = 444400300123613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444400444341341) 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 in 15 ways as a sum of consecutive naturals, for example, 25715626 + ... + 39371236.

It is an arithmetic number, because the mean of its divisors is an integer number (28486617147288).

Almost surely, 2444400434341341 is an apocalyptic number.

It is an amenable number.

444400434341341 is a deficient number, since it is larger than the sum of its proper divisors (11385440015267).

444400434341341 is a wasteful number, since it uses less digits than its factorization.

444400434341341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13659732.

The product of its (nonzero) digits is 1769472, while the sum is 43.

Adding to 444400434341341 its reverse (143143434004444), we get a palindrome (587543868345785).

The spelling of 444400434341341 in words is "four hundred forty-four trillion, four hundred billion, four hundred thirty-four million, three hundred forty-one thousand, three hundred forty-one".

Divisors: 1 53 157 3911 8321 207283 614027 13655611 32543431 723747383 2143930927 53407094621 113628339131 2830576014913 8384913855497 444400434341341