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444242033312441 = 71322655714140211
BaseRepresentation
bin110010100000010010010100…
…0100101110000001010111001
32011020221010100010021000200112
41211000210220211300022321
5431211430141011444231
64212453550035114105
7162400266501144560
oct14500445045601271
92136833303230615
10444242033312441
11119604a96491281
12419a90ba142935
13160b5ac8321600
147b9b60179cbd7
153655b4c50492b
hex19409289702b9

444242033312441 has 24 divisors (see below), whose sum is σ = 549784338433344. Its totient is φ = 351474942087360.

The previous prime is 444242033312423. The next prime is 444242033312453. The reversal of 444242033312441 is 144213330242444.

It is not a de Polignac number, because 444242033312441 - 214 = 444242033296057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444242033362441) 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 in 23 ways as a sum of consecutive naturals, for example, 24346826 + ... + 38487036.

It is an arithmetic number, because the mean of its divisors is an integer number (22907680768056).

Almost surely, 2444242033312441 is an apocalyptic number.

It is an amenable number.

444242033312441 is a deficient number, since it is larger than the sum of its proper divisors (105542305120903).

444242033312441 is a wasteful number, since it uses less digits than its factorization.

444242033312441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14166801 (or 14166788 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 41.

Adding to 444242033312441 its reverse (144213330242444), we get a palindrome (588455363554885).

The spelling of 444242033312441 in words is "four hundred forty-four trillion, two hundred forty-two billion, thirty-three million, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 7 13 91 169 1183 26557 185899 345241 2416687 4488133 14140211 31416931 98981477 183822743 1286759201 2389695659 16727869613 375521583527 2628651084689 4881780585851 34172464100957 63463147616063 444242033312441