Base | Representation |
---|---|
bin | 11111110001110101… |
… | …010000011010101000 |
3 | 10021002000122021121022 |
4 | 133301311100122220 |
5 | 1024340220303000 |
6 | 23401521432012 |
7 | 2315401364045 |
oct | 376165203250 |
9 | 107060567538 |
10 | 34122041000 |
11 | 13520003493 |
12 | 674349b608 |
13 | 32aa376708 |
14 | 1919a8a1cc |
15 | d4a959585 |
hex | 7f1d506a8 |
34122041000 has 128 divisors (see below), whose sum is σ = 86006568960. Its totient is φ = 12633984000.
The previous prime is 34122040993. The next prime is 34122041021. The reversal of 34122041000 is 14022143.
It is a self number, because there is not a number n which added to its sum of digits gives 34122041000.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689072 + ... + 736928.
It is an arithmetic number, because the mean of its divisors is an integer number (671926320).
Almost surely, 234122041000 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 34122041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43003284480).
34122041000 is an abundant number, since it is smaller than the sum of its proper divisors (51884527960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34122041000 is a wasteful number, since it uses less digits than its factorization.
34122041000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 47932 (or 47918 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 17.
Adding to 34122041000 its reverse (14022143), we get a palindrome (34136063143).
The spelling of 34122041000 in words is "thirty-four billion, one hundred twenty-two million, forty-one thousand".
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