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344042020344101 = 3753244817166461
BaseRepresentation
bin100111000111001111000011…
…0011010010001000100100101
31200010011002120221020221200112
41032032132012122101010211
5330043241024202002401
63215414420000222405
7132316133662553612
oct11616360632210445
91603132527227615
10344042020344101
119a693446366672
123270579460aa05
13119c803c298831
1460d5a18c91509
1529b94c859d3bb
hex138e786691125

344042020344101 has 16 divisors (see below), whose sum is σ = 360022010147568. Its totient is φ = 328414209177600.

The previous prime is 344042020343999. The next prime is 344042020344167. The reversal of 344042020344101 is 101443020240443.

It can be written as a sum of positive squares in 8 ways, for example, as 9505665931876 + 334536354412225 = 3083126^2 + 18290335^2 .

It is a cyclic number.

It is not a de Polignac number, because 344042020344101 - 242 = 339643973832997 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 (344042020349101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44424011 + ... + 51590471.

It is an arithmetic number, because the mean of its divisors is an integer number (22501375634223).

Almost surely, 2344042020344101 is an apocalyptic number.

It is an amenable number.

344042020344101 is a deficient number, since it is larger than the sum of its proper divisors (15979989803467).

344042020344101 is a wasteful number, since it uses less digits than its factorization.

344042020344101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191032.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 344042020344101 its reverse (101443020240443), we get a palindrome (445485040584544).

The spelling of 344042020344101 in words is "three hundred forty-four trillion, forty-two billion, twenty million, three hundred forty-four thousand, one hundred one".

Divisors: 1 37 53 1961 24481 905797 1297493 7166461 48007241 265159057 379822433 14053430021 175442131741 6491358874417 9298432982273 344042020344101