Base | Representation |
---|---|
bin | 10000110101011… |
… | …10100001000000 |
3 | 100211201220220112 |
4 | 20122232201000 |
5 | 242123132000 |
6 | 22002530452 |
7 | 3333245531 |
oct | 1032564100 |
9 | 324656815 |
10 | 141224000 |
11 | 72798755 |
12 | 3b366a28 |
13 | 233484c8 |
14 | 14a82688 |
15 | c5e9235 |
hex | 86ae840 |
141224000 has 112 divisors (see below), whose sum is σ = 355031040. Its totient is φ = 55641600.
The previous prime is 141223987. The next prime is 141224023. The reversal of 141224000 is 422141.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015931 + ... + 1016069.
It is an arithmetic number, because the mean of its divisors is an integer number (3169920).
Almost surely, 2141224000 is an apocalyptic number.
141224000 is a gapful number since it is divisible by the number (10) 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 141224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520).
141224000 is an abundant number, since it is smaller than the sum of its proper divisors (213807040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141224000 is a wasteful number, since it uses less digits than its factorization.
141224000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 293 (or 273 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 141224000 is about 11883.7704454437. The cubic root of 141224000 is about 520.7582626024.
Adding to 141224000 its reverse (422141), we get a palindrome (141646141).
The spelling of 141224000 in words is "one hundred forty-one million, two hundred twenty-four thousand".
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