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3444055343141 = 717731562925367
BaseRepresentation
bin110010000111100001101…
…100100000000000100101
3110012020201010201221220112
4302013201230200000211
5422411411131440031
611154102134342405
7503552621252540
oct62074154400045
913166633657815
103444055343141
111108685500476
124775931baa05
131bca0844b60a
14bc99c0a5857
155e8c3b7c62b
hex321e1b20025

3444055343141 has 32 divisors (see below), whose sum is σ = 4225123607040. Its totient is φ = 2740053989376.

The previous prime is 3444055343123. The next prime is 3444055343149. The reversal of 3444055343141 is 1413435504443.

3444055343141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3444055343141 - 218 = 3444055080997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444055343149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135756440 + ... + 135781806.

It is an arithmetic number, because the mean of its divisors is an integer number (132035112720).

Almost surely, 23444055343141 is an apocalyptic number.

It is an amenable number.

3444055343141 is a deficient number, since it is larger than the sum of its proper divisors (781068263899).

3444055343141 is a wasteful number, since it uses less digits than its factorization.

3444055343141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41093.

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 3444055343141 in words is "three trillion, four hundred forty-four billion, fifty-five million, three hundred forty-three thousand, one hundred forty-one".

Divisors: 1 7 17 73 119 511 1241 8687 15629 25367 109403 177569 265693 431239 1140917 1851791 1859851 3018673 7986419 12962537 19395589 31480447 135769123 220363129 396460843 2775225901 6739834331 28941641539 47178840317 202591490773 492007906163 3444055343141