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142205601341 = 17411491369297
BaseRepresentation
bin1000010001110000011…
…1010100011000111101
3111121001112221000222202
42010130013110120331
54312214113220331
6145154531321245
713162662444626
oct2043407243075
9447045830882
10142205601341
115534439a071
1223688450225
131054380504b
146c50526a4d
153a74697ecb
hex211c1d463d

142205601341 has 16 divisors (see below), whose sum is σ = 155278393200. Its totient is φ = 129699717120.

The previous prime is 142205601331. The next prime is 142205601397. The reversal of 142205601341 is 143106502241.

It can be written as a sum of positive squares in 8 ways, for example, as 39455863225 + 102749738116 = 198635^2 + 320546^2 .

It is a cyclic number.

It is not a de Polignac number, because 142205601341 - 214 = 142205584957 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 (142205601331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 580796 + ... + 788501.

It is an arithmetic number, because the mean of its divisors is an integer number (9704899575).

Almost surely, 2142205601341 is an apocalyptic number.

It is an amenable number.

142205601341 is a deficient number, since it is larger than the sum of its proper divisors (13072791859).

142205601341 is a wasteful number, since it uses less digits than its factorization.

142205601341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369504.

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 142205601341 in words is "one hundred forty-two billion, two hundred five million, six hundred one thousand, three hundred forty-one".

Divisors: 1 17 41 149 697 2533 6109 103853 1369297 23278049 56141177 204025253 954400009 3468429301 8365035373 142205601341