Base | Representation |
---|---|
bin | 10000111101110… |
… | …01110100000000 |
3 | 100220210112202110 |
4 | 20132321310000 |
5 | 242413200343 |
6 | 22042215320 |
7 | 3345455520 |
oct | 1036716400 |
9 | 326715673 |
10 | 142318848 |
11 | 73376291 |
12 | 3b7b4540 |
13 | 2363c949 |
14 | 14c89680 |
15 | c763833 |
hex | 87b9d00 |
142318848 has 144 divisors (see below), whose sum is σ = 452100096. Its totient is φ = 38860800.
The previous prime is 142318843. The next prime is 142318853. The reversal of 142318848 is 848813241.
It is a happy number.
142318848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (142318843) and next prime (142318853).
It is a super-3 number, since 3×1423188483 (a number of 25 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (142318843) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123073 + ... + 124223.
It is an arithmetic number, because the mean of its divisors is an integer number (3139584).
Almost surely, 2142318848 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 142318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226050048).
142318848 is an abundant number, since it is smaller than the sum of its proper divisors (309781248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142318848 is a wasteful number, since it uses less digits than its factorization.
142318848 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1200 (or 1186 counting only the distinct ones).
The product of its digits is 49152, while the sum is 39.
The square root of 142318848 is about 11929.7463510336. The cubic root of 142318848 is about 522.1005369983.
The spelling of 142318848 in words is "one hundred forty-two million, three hundred eighteen thousand, eight hundred forty-eight".
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