Base | Representation |
---|---|
bin | 111001011110101000… |
… | …0101000111010111000 |
3 | 102210121100111011100010 |
4 | 1302331100220322320 |
5 | 4010243142340044 |
6 | 132412134141520 |
7 | 11626550402352 |
oct | 1627520507270 |
9 | 383540434303 |
10 | 123434340024 |
11 | 48391515666 |
12 | 1bb09ab18a0 |
13 | b841874728 |
14 | 5d8d4d20d2 |
15 | 3326742bb9 |
hex | 1cbd428eb8 |
123434340024 has 128 divisors (see below), whose sum is σ = 320440872960. Its totient is φ = 39580800000.
The previous prime is 123434340017. The next prime is 123434340059. The reversal of 123434340024 is 420043434321.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 123434339973 and 123434340000.
It is a congruent number.
It is an unprimeable number.
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, 162199804 + ... + 162200564.
It is an arithmetic number, because the mean of its divisors is an integer number (2503444320).
Almost surely, 2123434340024 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 123434340024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160220436480).
123434340024 is an abundant number, since it is smaller than the sum of its proper divisors (197006532936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123434340024 is a wasteful number, since it uses less digits than its factorization.
123434340024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1813 (or 1809 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 30.
Adding to 123434340024 its reverse (420043434321), we get a palindrome (543477774345).
The spelling of 123434340024 in words is "one hundred twenty-three billion, four hundred thirty-four million, three hundred forty thousand, twenty-four".
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