Base | Representation |
---|---|
bin | 1101101001000100100… |
… | …0011011111101110000 |
3 | 211101221011121011111101 |
4 | 3122101020123331300 |
5 | 12314433431021000 |
6 | 255355343254144 |
7 | 22634510560321 |
oct | 3322110337560 |
9 | 741834534441 |
10 | 234363142000 |
11 | 9043597a409 |
12 | 395078aa354 |
13 | 1913c6108b0 |
14 | b4b3bac448 |
15 | 616a155e6a |
hex | 369121bf70 |
234363142000 has 160 divisors (see below), whose sum is σ = 618646654080. Its totient is φ = 85347993600.
The previous prime is 234363141977. The next prime is 234363142003. The reversal of 234363142000 is 241363432.
234363142000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2343631420002 (a number of 24 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 234363142000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (234363142003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1836261 + ... + 1959739.
It is an arithmetic number, because the mean of its divisors is an integer number (3866541588).
Almost surely, 2234363142000 is an apocalyptic number.
234363142000 is a gapful number since it is divisible by the number (20) 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 234363142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309323327040).
234363142000 is an abundant number, since it is smaller than the sum of its proper divisors (384283512080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234363142000 is a wasteful number, since it uses less digits than its factorization.
234363142000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123588 (or 123572 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 28.
The spelling of 234363142000 in words is "two hundred thirty-four billion, three hundred sixty-three million, one hundred forty-two thousand".
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