Base | Representation |
---|---|
bin | 10000111101101… |
… | …11111110010000 |
3 | 100220210011102100 |
4 | 20132313332100 |
5 | 242412430222 |
6 | 22042120400 |
7 | 3345424533 |
oct | 1036677620 |
9 | 326704370 |
10 | 142311312 |
11 | 73370660 |
12 | 3b7b0100 |
13 | 236393a0 |
14 | 14c86a1a |
15 | c7614ac |
hex | 87b7f90 |
142311312 has 120 divisors (see below), whose sum is σ = 467970048. Its totient is φ = 39801600.
The previous prime is 142311269. The next prime is 142311313. The reversal of 142311312 is 213113241.
142311312 is a `hidden beast` number, since 1 + 42 + 311 + 312 = 666.
It is a super-2 number, since 2×1423113122 = 40505019046322688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 not an unprimeable number, because it can be changed into a prime (142311313) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17137 + ... + 24047.
Almost surely, 2142311312 is an apocalyptic number.
142311312 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 142311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).
142311312 is an abundant number, since it is smaller than the sum of its proper divisors (325658736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142311312 is a wasteful number, since it uses less digits than its factorization.
142311312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6949 (or 6940 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 142311312 is about 11929.4304977228. The cubic root of 142311312 is about 522.0913214958.
Adding to 142311312 its reverse (213113241), we get a palindrome (355424553).
The spelling of 142311312 in words is "one hundred forty-two million, three hundred eleven thousand, three hundred twelve".
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