Base | Representation |
---|---|
bin | 100010000111010101001… |
… | …101110001100111100000 |
3 | 22022010010200122102021120 |
4 | 202013111031301213200 |
5 | 301402144042200212 |
6 | 4552550004452240 |
7 | 331241535024636 |
oct | 42072515614740 |
9 | 8263120572246 |
10 | 2344334334432 |
11 | 8242546847a2 |
12 | 31a4209aa080 |
13 | 1400ba3c685c |
14 | 81675aa3356 |
15 | 40eac93a88c |
hex | 221d53719e0 |
2344334334432 has 24 divisors (see below), whose sum is σ = 6153877628136. Its totient is φ = 781444778112.
The previous prime is 2344334334421. The next prime is 2344334334437.
2344334334432 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (24).
It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct 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 (2344334334437) 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 3 ways as a sum of consecutive naturals, for example, 12210074563 + ... + 12210074754.
It is an arithmetic number, because the mean of its divisors is an integer number (256411567839).
Almost surely, 22344334334432 is an apocalyptic number.
It is an amenable number.
2344334334432 is an abundant number, since it is smaller than the sum of its proper divisors (3809543293704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2344334334432 is a wasteful number, since it uses less digits than its factorization.
2344334334432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24420149330 (or 24420149322 counting only the distinct ones).
The product of its digits is 2985984, while the sum is 42.
The spelling of 2344334334432 in words is "two trillion, three hundred forty-four billion, three hundred thirty-four million, three hundred thirty-four thousand, four hundred thirty-two".
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