Base | Representation |
---|---|
bin | 10000111011101… |
… | …01010110100000 |
3 | 100220021022002200 |
4 | 20131311112200 |
5 | 242330212212 |
6 | 22032213200 |
7 | 3343210134 |
oct | 1035652640 |
9 | 326238080 |
10 | 142038432 |
11 | 731a4638 |
12 | 3b69a200 |
13 | 23572113 |
14 | 14c153c4 |
15 | c70a6dc |
hex | 87755a0 |
142038432 has 144 divisors (see below), whose sum is σ = 432589248. Its totient is φ = 44098560.
The previous prime is 142038419. The next prime is 142038467. The reversal of 142038432 is 234830241.
It is a tau number, because it is divible by the number of its divisors (144).
It is a junction number, because it is equal to n+sod(n) for n = 142038396 and 142038405.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271323 + ... + 271845.
It is an arithmetic number, because the mean of its divisors is an integer number (3004092).
Almost surely, 2142038432 is an apocalyptic number.
142038432 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 142038432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216294624).
142038432 is an abundant number, since it is smaller than the sum of its proper divisors (290550816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142038432 is a wasteful number, since it uses less digits than its factorization.
142038432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 603 (or 592 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 142038432 is about 11917.9877496161. The cubic root of 142038432 is about 521.7574069830.
Adding to 142038432 its reverse (234830241), we get a palindrome (376868673).
The spelling of 142038432 in words is "one hundred forty-two million, thirty-eight thousand, four hundred thirty-two".
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