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342033332141 = 17532113179657
BaseRepresentation
bin1001111101000101100…
…01100111011110101101
31012200211220001112120102
410332202301213132231
521100441013112031
6421043345200445
733465622232234
oct4764261473655
91180756045512
10342033332141
11122067998926
1256356330125
132633b229087
14127a97a3b1b
158d6c93e7cb
hex4fa2c677ad

342033332141 has 16 divisors (see below), whose sum is σ = 369162695664. Its totient is φ = 315688648704.

The previous prime is 342033332089. The next prime is 342033332159. The reversal of 342033332141 is 141233330243.

It can be written as a sum of positive squares in 8 ways, for example, as 5395490116 + 336637842025 = 73454^2 + 580205^2 .

It is not a de Polignac number, because 342033332141 - 210 = 342033331117 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 (342033332171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813985 + ... + 1993641.

It is an arithmetic number, because the mean of its divisors is an integer number (23072668479).

Almost surely, 2342033332141 is an apocalyptic number.

It is an amenable number.

342033332141 is a deficient number, since it is larger than the sum of its proper divisors (27129363523).

342033332141 is a wasteful number, since it uses less digits than its factorization.

342033332141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181840.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 342033332141 its reverse (141233330243), we get a palindrome (483266662384).

The spelling of 342033332141 in words is "three hundred forty-two billion, thirty-three million, three hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 17 53 901 2113 35921 111989 179657 1903813 3054169 9521821 161870957 379615241 6453459097 20119607773 342033332141