Base | Representation |
---|---|
bin | 101011111000001111… |
… | …010100101100010000 |
3 | 11111121111010111200112 |
4 | 223320033110230100 |
5 | 1232442244030230 |
6 | 33351041540452 |
7 | 3255353061515 |
oct | 537017245420 |
9 | 144544114615 |
10 | 47114439440 |
11 | 18a87966762 |
12 | 916a644728 |
13 | 459acb6443 |
14 | 23cd3d730c |
15 | 135b3a8d95 |
hex | af83d4b10 |
47114439440 has 80 divisors (see below), whose sum is σ = 111153824688. Its totient is φ = 18568839168.
The previous prime is 47114439431. The next prime is 47114439469. The reversal of 47114439440 is 4493441174.
It can be written as a sum of positive squares in 8 ways, for example, as 30647296 + 47083792144 = 5536^2 + 216988^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6730022 + ... + 6737018.
Almost surely, 247114439440 is an apocalyptic number.
47114439440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47114439440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55576912344).
47114439440 is an abundant number, since it is smaller than the sum of its proper divisors (64039385248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47114439440 is a wasteful number, since it uses less digits than its factorization.
47114439440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8236 (or 8230 counting only the distinct ones).
The product of its (nonzero) digits is 193536, while the sum is 41.
The spelling of 47114439440 in words is "forty-seven billion, one hundred fourteen million, four hundred thirty-nine thousand, four hundred forty".
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