Base | Representation |
---|---|
bin | 10000110110001… |
… | …01000000100000 |
3 | 100211220121021200 |
4 | 20123011000200 |
5 | 242134104003 |
6 | 22004521200 |
7 | 3334111242 |
oct | 1033050040 |
9 | 324817250 |
10 | 141316128 |
11 | 72850998 |
12 | 3b3b0200 |
13 | 2337b415 |
14 | 14aa8092 |
15 | c6166a3 |
hex | 86c5020 |
141316128 has 72 divisors (see below), whose sum is σ = 407586816. Its totient is φ = 46435200.
The previous prime is 141316111. The next prime is 141316187. The reversal of 141316128 is 821613141.
It is a happy number.
141316128 is a `hidden beast` number, since 1 + 41 + 3 + 1 + 612 + 8 = 666.
141316128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16993 + ... + 23903.
It is an arithmetic number, because the mean of its divisors is an integer number (5660928).
Almost surely, 2141316128 is an apocalyptic number.
141316128 is a gapful number since it is divisible by the number (18) 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 141316128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).
141316128 is an abundant number, since it is smaller than the sum of its proper divisors (266270688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141316128 is a wasteful number, since it uses less digits than its factorization.
141316128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6998 (or 6987 counting only the distinct ones).
The product of its digits is 1152, while the sum is 27.
The square root of 141316128 is about 11887.6460243397. The cubic root of 141316128 is about 520.8714775150.
Adding to 141316128 its reverse (821613141), we get a palindrome (962929269).
The spelling of 141316128 in words is "one hundred forty-one million, three hundred sixteen thousand, one hundred twenty-eight".
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