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142416132 = 22326944119
BaseRepresentation
bin10000111110100…
…01100100000100
3100220222111012120
420133101210010
5242424304012
622044245540
73346342245
oct1037214404
9326874176
10142416132
1173432391
123b8408b0
1323675001
1414cb2ccc
15c78258c
hex87d1904

142416132 has 24 divisors (see below), whose sum is σ = 333547200. Its totient is φ = 47294496.

The previous prime is 142416107. The next prime is 142416133. The reversal of 142416132 is 231614241.

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

It is not an unprimeable number, because it can be changed into a prime (142416133) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18832 + ... + 25287.

It is an arithmetic number, because the mean of its divisors is an integer number (13897800).

Almost surely, 2142416132 is an apocalyptic number.

142416132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142416132 is an abundant number, since it is smaller than the sum of its proper divisors (191131068).

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

142416132 is a wasteful number, since it uses less digits than its factorization.

142416132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44395 (or 44393 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 142416132 is about 11933.8230253343. The cubic root of 142416132 is about 522.2194728960.

The spelling of 142416132 in words is "one hundred forty-two million, four hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 269 538 807 1076 1614 3228 44119 88238 132357 176476 264714 529428 11868011 23736022 35604033 47472044 71208066 142416132