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349146317145 = 35196829179393
BaseRepresentation
bin1010001010010101011…
…11100000000101011001
31020101012121101121122110
411011022233200011121
521210022424122040
6424221241142533
734140112504653
oct5051257400531
91211177347573
10349146317145
11125087aa282a
125780048aa49
1326c02a70c42
1412c823316d3
159137125980
hex514abe0159

349146317145 has 32 divisors (see below), whose sum is σ = 588125289600. Its totient is φ = 176383954944.

The previous prime is 349146317131. The next prime is 349146317159. The reversal of 349146317145 is 541713641943.

It is an interprime number because it is at equal distance from previous prime (349146317131) and next prime (349146317159).

It is not a de Polignac number, because 349146317145 - 26 = 349146317081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 349146317094 and 349146317103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1856569 + ... + 2035961.

It is an arithmetic number, because the mean of its divisors is an integer number (18378915300).

Almost surely, 2349146317145 is an apocalyptic number.

It is an amenable number.

349146317145 is a deficient number, since it is larger than the sum of its proper divisors (238978972455).

349146317145 is a wasteful number, since it uses less digits than its factorization.

349146317145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186249.

The product of its digits is 1088640, while the sum is 48.

The spelling of 349146317145 in words is "three hundred forty-nine billion, one hundred forty-six million, three hundred seventeen thousand, one hundred forty-five".

Divisors: 1 3 5 15 19 57 95 285 6829 20487 34145 102435 129751 179393 389253 538179 648755 896965 1946265 2690895 3408467 10225401 17042335 51127005 1225074797 3675224391 6125373985 18376121955 23276421143 69829263429 116382105715 349146317145