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142394112 = 28367109
BaseRepresentation
bin10000111110011…
…00001100000000
3100220221101000000
420133030030000
5242423102422
622044000000
73346221120
oct1037141400
9326841000
10142394112
1173417893
123b830000
1323667c93
1414ca8c80
15c77acac
hex87cc300

142394112 has 252 divisors, whose sum is σ = 491500240. Its totient is φ = 40310784.

The previous prime is 142394111. The next prime is 142394117. The reversal of 142394112 is 211493241.

It is a happy number.

142394112 is a `hidden beast` number, since 14 + 239 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (142394111) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306314 + ... + 1306422.

Almost surely, 2142394112 is an apocalyptic number.

142394112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142394112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245750120).

142394112 is an abundant number, since it is smaller than the sum of its proper divisors (349106128).

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

142394112 is an frugal number, since it uses more digits than its factorization.

142394112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 142394112 is about 11932.9004018302. The cubic root of 142394112 is about 522.1925567844.

The spelling of 142394112 in words is "one hundred forty-two million, three hundred ninety-four thousand, one hundred twelve".