Base | Representation |
---|---|
bin | 10000110101100… |
… | …00100000000000 |
3 | 100211202100001120 |
4 | 20122300200000 |
5 | 242123412003 |
6 | 22003032240 |
7 | 3333311322 |
oct | 1032604000 |
9 | 324670046 |
10 | 141232128 |
11 | 727a3874 |
12 | 3b36b680 |
13 | 2334c10b |
14 | 14a85612 |
15 | c5eb853 |
hex | 86b0800 |
141232128 has 96 divisors (see below), whose sum is σ = 381588480. Its totient is φ = 46448640.
The previous prime is 141232099. The next prime is 141232129. The reversal of 141232128 is 821232141.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
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 a junction number, because it is equal to n+sod(n) for n = 141232098 and 141232107.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (141232129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780198 + ... + 780378.
It is an arithmetic number, because the mean of its divisors is an integer number (3974880).
Almost surely, 2141232128 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 141232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).
141232128 is an abundant number, since it is smaller than the sum of its proper divisors (240356352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141232128 is a wasteful number, since it uses less digits than its factorization.
141232128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 333 (or 313 counting only the distinct ones).
The product of its digits is 768, while the sum is 24.
The square root of 141232128 is about 11884.1124195289. The cubic root of 141232128 is about 520.7682529769.
Adding to 141232128 its reverse (821232141), we get a palindrome (962464269).
The spelling of 141232128 in words is "one hundred forty-one million, two hundred thirty-two thousand, one hundred twenty-eight".
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