Base | Representation |
---|---|
bin | 1010000000111101101… |
… | …00010110000100011000 |
3 | 1012220012220222212020002 |
4 | 11000132310112010120 |
5 | 21114221243001130 |
6 | 422030050152132 |
7 | 33601322216564 |
oct | 5003664260430 |
9 | 1186186885202 |
10 | 344114422040 |
11 | 122a35690534 |
12 | 56837282648 |
13 | 265b042590c |
14 | 12925d2a6a4 |
15 | 8e404bdb45 |
hex | 501ed16118 |
344114422040 has 64 divisors (see below), whose sum is σ = 788122051200. Its totient is φ = 135199014912.
The previous prime is 344114422033. The next prime is 344114422061. The reversal of 344114422040 is 40224411443.
It is a junction number, because it is equal to n+sod(n) for n = 344114421994 and 344114422012.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327764 + ... + 891996.
It is an arithmetic number, because the mean of its divisors is an integer number (12314407050).
Almost surely, 2344114422040 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 344114422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394061025600).
344114422040 is an abundant number, since it is smaller than the sum of its proper divisors (444007629160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344114422040 is a wasteful number, since it uses less digits than its factorization.
344114422040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 564516 (or 564512 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 29.
Adding to 344114422040 its reverse (40224411443), we get a palindrome (384338833483).
The spelling of 344114422040 in words is "three hundred forty-four billion, one hundred fourteen million, four hundred twenty-two thousand, forty".
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