Base | Representation |
---|---|
bin | 10000110101011… |
… | …01100100100000 |
3 | 100211201201121010 |
4 | 20122231210200 |
5 | 242123021003 |
6 | 22002500520 |
7 | 3333231330 |
oct | 1032554440 |
9 | 324651533 |
10 | 141220128 |
11 | 72795855 |
12 | 3b364740 |
13 | 2334680a |
14 | 14a810c0 |
15 | c5e8003 |
hex | 86ad920 |
141220128 has 96 divisors (see below), whose sum is σ = 437391360. Its totient is φ = 39041280.
The previous prime is 141220117. The next prime is 141220129. The reversal of 141220128 is 821022141.
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 (21).
It is not an unprimeable number, because it can be changed into a prime (141220129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17443 + ... + 24221.
It is an arithmetic number, because the mean of its divisors is an integer number (4556160).
Almost surely, 2141220128 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 141220128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218695680).
141220128 is an abundant number, since it is smaller than the sum of its proper divisors (296171232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141220128 is a wasteful number, since it uses less digits than its factorization.
141220128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6830 (or 6822 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 21.
The square root of 141220128 is about 11883.6075330684. The cubic root of 141220128 is about 520.7535032734.
Adding to 141220128 its reverse (821022141), we get a palindrome (962242269).
The spelling of 141220128 in words is "one hundred forty-one million, two hundred twenty thousand, one hundred twenty-eight".
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