Base | Representation |
---|---|
bin | 100001000000011010… |
… | …000001111000011100 |
3 | 10101110220011221222200 |
4 | 201000122001320130 |
5 | 1040040204204034 |
6 | 24140412411500 |
7 | 2363146416264 |
oct | 410032017034 |
9 | 111426157880 |
10 | 35440303644 |
11 | 14037144749 |
12 | 6a50a76b90 |
13 | 345a507095 |
14 | 1a02ba27a4 |
15 | dc6555a99 |
hex | 840681e1c |
35440303644 has 144 divisors (see below), whose sum is σ = 95125430400. Its totient is φ = 11106087552.
The previous prime is 35440303621. The next prime is 35440303711. The reversal of 35440303644 is 44630304453.
35440303644 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 0 + 3 + 0 + 3 + 644 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 35440303599 and 35440303608.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17013027 + ... + 17015109.
Almost surely, 235440303644 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 35440303644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47562715200).
35440303644 is an abundant number, since it is smaller than the sum of its proper divisors (59685126756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35440303644 is a wasteful number, since it uses less digits than its factorization.
35440303644 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2544 (or 2539 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 36.
The spelling of 35440303644 in words is "thirty-five billion, four hundred forty million, three hundred three thousand, six hundred forty-four".
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