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342282141729 = 32118995340763
BaseRepresentation
bin1001111101100011001…
…10110000000000100001
31012201111020020101011100
410332301212300000201
521101443212013404
6421124154105013
733505033125513
oct4766146600041
91181436211140
10342282141729
11122185389190
125640571b169
132637a942998
14127d084dbb3
158d846dad39
hex4fb19b0021

342282141729 has 48 divisors (see below), whose sum is σ = 545999538240. Its totient is φ = 204892638720.

The previous prime is 342282141713. The next prime is 342282141731. The reversal of 342282141729 is 927141282243.

342282141729 is a `hidden beast` number, since 3 + 4 + 228 + 2 + 1 + 417 + 2 + 9 = 666.

It is not a de Polignac number, because 342282141729 - 24 = 342282141713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (342282141709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8376502 + ... + 8417264.

It is an arithmetic number, because the mean of its divisors is an integer number (11374990380).

Almost surely, 2342282141729 is an apocalyptic number.

It is an amenable number.

342282141729 is a deficient number, since it is larger than the sum of its proper divisors (203717396511).

342282141729 is a wasteful number, since it uses less digits than its factorization.

342282141729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41822 (or 41819 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 342282141729 in words is "three hundred forty-two billion, two hundred eighty-two million, one hundred forty-one thousand, seven hundred twenty-nine".

Divisors: 1 3 9 11 33 89 99 267 801 953 979 2859 2937 8577 8811 10483 31449 40763 84817 94347 122289 254451 366867 448393 763353 932987 1345179 2798961 3627907 4035537 8396883 10883721 32651163 38847139 39906977 116541417 119720931 349624251 359162793 427318529 1281955587 3457395371 3845866761 10372186113 31116558339 38031349081 114094047243 342282141729