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142188384 = 25313113933
BaseRepresentation
bin10000111100110…
…01111101100000
3100220112220210110
420132121331200
5242400012014
622035331320
73344403252
oct1036317540
9326486713
10142188384
1173297268
123b750b40
13235c5450
1414c53cd2
15c739d59
hex8799f60

142188384 has 48 divisors (see below), whose sum is σ = 401959152. Its totient is φ = 43749888.

The previous prime is 142188383. The next prime is 142188433. The reversal of 142188384 is 483881241.

It is a happy number.

142188384 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142188383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55719 + ... + 58214.

It is an arithmetic number, because the mean of its divisors is an integer number (8374149).

Almost surely, 2142188384 is an apocalyptic number.

It is an amenable number.

142188384 is an abundant number, since it is smaller than the sum of its proper divisors (259770768).

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

142188384 is a wasteful number, since it uses less digits than its factorization.

142188384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113959 (or 113951 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 142188384 is about 11924.2770850060. The cubic root of 142188384 is about 521.9409513219.

The spelling of 142188384 in words is "one hundred forty-two million, one hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 113933 227866 341799 455732 683598 911464 1367196 1481129 1822928 2734392 2962258 3645856 4443387 5468784 5924516 8886774 10937568 11849032 17773548 23698064 35547096 47396128 71094192 142188384