Base | Representation |
---|---|
bin | 1000010010010001110… |
… | …0011001000100000000 |
3 | 111121102021212122211100 |
4 | 2010210130121010000 |
5 | 4313010401440412 |
6 | 145220442414400 |
7 | 13166310311451 |
oct | 2044434310400 |
9 | 447367778740 |
10 | 142345343232 |
11 | 55406265234 |
12 | 23707201400 |
13 | 10566751a61 |
14 | 6c64d01128 |
15 | 3a81a9cedc |
hex | 2124719100 |
142345343232 has 108 divisors (see below), whose sum is σ = 410701535244. Its totient is φ = 47415521280.
The previous prime is 142345343221. The next prime is 142345343233. The reversal of 142345343232 is 232343543241.
142345343232 is a `hidden beast` number, since 1 + 42 + 3 + 45 + 343 + 232 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 105536618496 + 36808724736 = 324864^2 + 191856^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (142345343233) 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 11 ways as a sum of consecutive naturals, for example, 3419182 + ... + 3460562.
It is an arithmetic number, because the mean of its divisors is an integer number (3802791993).
Almost surely, 2142345343232 is an apocalyptic number.
142345343232 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 142345343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205350767622).
142345343232 is an abundant number, since it is smaller than the sum of its proper divisors (268356192012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142345343232 is a wasteful number, since it uses less digits than its factorization.
142345343232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 42896 (or 42879 counting only the distinct ones).
The product of its digits is 207360, while the sum is 36.
Adding to 142345343232 its reverse (232343543241), we get a palindrome (374688886473).
Subtracting 142345343232 from its reverse (232343543241), we obtain a square (89998200009 = 2999972).
The spelling of 142345343232 in words is "one hundred forty-two billion, three hundred forty-five million, three hundred forty-three thousand, two hundred thirty-two".
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