Base | Representation |
---|---|
bin | 100000101101100000… |
… | …011101101110010000 |
3 | 10100122210112121201102 |
4 | 200231200131232100 |
5 | 1033413021122230 |
6 | 24045124323532 |
7 | 2352246321224 |
oct | 405540355620 |
9 | 110583477642 |
10 | 35123223440 |
11 | 13994164698 |
12 | 69828435a8 |
13 | 3409908b66 |
14 | 19b2a24784 |
15 | da87c1045 |
hex | 82d81db90 |
35123223440 has 80 divisors (see below), whose sum is σ = 82668749040. Its totient is φ = 13876346880.
The previous prime is 35123223427. The next prime is 35123223491. The reversal of 35123223440 is 4432232153.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 2370910864 + 32752312576 = 48692^2 + 180976^2 .
It is a tau number, because it is divible by the number of its divisors (80).
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, 8406632 + ... + 8410808.
It is an arithmetic number, because the mean of its divisors is an integer number (1033359363).
Almost surely, 235123223440 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 35123223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41334374520).
35123223440 is an abundant number, since it is smaller than the sum of its proper divisors (47545525600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35123223440 is a wasteful number, since it uses less digits than its factorization.
35123223440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5460 (or 5454 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 29.
Adding to 35123223440 its reverse (4432232153), we get a palindrome (39555455593).
The spelling of 35123223440 in words is "thirty-five billion, one hundred twenty-three million, two hundred twenty-three thousand, four hundred forty".
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