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344406514466135 = 5116261936626657
BaseRepresentation
bin100111001001111000110001…
…1111100111111110101010111
31200011102221102011020211122002
41032103301203330333311113
5330120224020200404020
63220254100222225515
7132354356330513462
oct11623614374776527
91604387364224562
10344406514466135
119a813a89836370
1232764358a2529b
1311a23519950814
1461095156a22d9
1529c3c0ccdb975
hex1393c63f3fd57

344406514466135 has 8 divisors (see below), whose sum is σ = 450859437119376. Its totient is φ = 250477465066240.

The previous prime is 344406514466123. The next prime is 344406514466171. The reversal of 344406514466135 is 531664415604443.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 344406514466135 - 244 = 326814328421719 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3130968313274 + ... + 3130968313383.

It is an arithmetic number, because the mean of its divisors is an integer number (56357429639922).

Almost surely, 2344406514466135 is an apocalyptic number.

344406514466135 is a deficient number, since it is larger than the sum of its proper divisors (106452922653241).

344406514466135 is a wasteful number, since it uses less digits than its factorization.

344406514466135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261936626673.

The product of its (nonzero) digits is 49766400, while the sum is 56.

The spelling of 344406514466135 in words is "three hundred forty-four trillion, four hundred six billion, five hundred fourteen million, four hundred sixty-six thousand, one hundred thirty-five".

Divisors: 1 5 11 55 6261936626657 31309683133285 68881302893227 344406514466135