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142202241 = 3215800249
BaseRepresentation
bin10000111100111…
…01010110000001
3100220120121210200
420132131112001
5242400432431
622035515413
73344461536
oct1036352601
9326517720
10142202241
11732a6715
123b758b69
13235cb84c
1414c58d8d
15c73dee6
hex879d581

142202241 has 6 divisors (see below), whose sum is σ = 205403250. Its totient is φ = 94801488.

The previous prime is 142202237. The next prime is 142202257.

142202241 is a `hidden beast` number, since 1 + 422 + 0 + 2 + 241 = 666.

142202241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 141705216 + 497025 = 11904^2 + 705^2 .

It is not a de Polignac number, because 142202241 - 22 = 142202237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142202201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7900116 + ... + 7900133.

It is an arithmetic number, because the mean of its divisors is an integer number (34233875).

Almost surely, 2142202241 is an apocalyptic number.

It is an amenable number.

142202241 is a deficient number, since it is larger than the sum of its proper divisors (63201009).

142202241 is a wasteful number, since it uses less digits than its factorization.

142202241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15800255 (or 15800252 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142202241 is about 11924.8581123634. The cubic root of 142202241 is about 521.9579060609.

It can be divided in two parts, 14220 and 2241, that added together give a palindrome (16461).

The spelling of 142202241 in words is "one hundred forty-two million, two hundred two thousand, two hundred forty-one".

Divisors: 1 3 9 15800249 47400747 142202241