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142112352 = 2538916633
BaseRepresentation
bin10000111100001…
…11011001100000
3100220102001111110
420132013121200
5242340043402
622033543320
73343635504
oct1036073140
9326361443
10142112352
1173245128
123b714b40
1323599965
1414c34304
15c72256c
hex8787660

142112352 has 48 divisors (see below), whose sum is σ = 377259120. Its totient is φ = 46835712.

The previous prime is 142112323. The next prime is 142112363. The reversal of 142112352 is 253211241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228 + ... + 16860.

It is an arithmetic number, because the mean of its divisors is an integer number (7859565).

Almost surely, 2142112352 is an apocalyptic number.

142112352 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 142112352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188629560).

142112352 is an abundant number, since it is smaller than the sum of its proper divisors (235146768).

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

142112352 is a wasteful number, since it uses less digits than its factorization.

142112352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16735 (or 16727 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 142112352 is about 11921.0885409010. The cubic root of 142112352 is about 521.8479027225.

Adding to 142112352 its reverse (253211241), we get a palindrome (395323593).

The spelling of 142112352 in words is "one hundred forty-two million, one hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 16633 33266 49899 66532 99798 133064 199596 266128 399192 532256 798384 1480337 1596768 2960674 4441011 5921348 8882022 11842696 17764044 23685392 35528088 47370784 71056176 142112352