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142242336 = 2532493897
BaseRepresentation
bin10000111101001…
…11001000100000
3100220122122210200
420132213020200
5242403223321
622040425200
73345016455
oct1036471040
9326578720
10142242336
1173323855
123b778200
1323613b82
1414c6982c
15c74ad26
hex87a7220

142242336 has 36 divisors (see below), whose sum is σ = 404502462. Its totient is φ = 47414016.

The previous prime is 142242311. The next prime is 142242367. The reversal of 142242336 is 633242241.

142242336 is a `hidden beast` number, since 1 + 422 + 4 + 233 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125888400 + 16353936 = 11220^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 246661 + ... + 247236.

Almost surely, 2142242336 is an apocalyptic number.

142242336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142242336 is an abundant number, since it is smaller than the sum of its proper divisors (262260126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142242336 is a wasteful number, since it uses less digits than its factorization.

142242336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493913 (or 493902 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 142242336 is about 11926.5391459551. The cubic root of 142242336 is about 522.0069581140.

Adding to 142242336 its reverse (633242241), we get a palindrome (775484577).

The spelling of 142242336 in words is "one hundred forty-two million, two hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 493897 987794 1481691 1975588 2963382 3951176 4445073 5926764 7902352 8890146 11853528 15804704 17780292 23707056 35560584 47414112 71121168 142242336