Base | Representation |
---|---|
bin | 10000110001000111… |
… | …10010110111001000 |
3 | 212020100210111220200 |
4 | 20120203302313020 |
5 | 121414001034034 |
6 | 4045131252200 |
7 | 436035330555 |
oct | 103043626710 |
9 | 25210714820 |
10 | 9001971144 |
11 | 38aa418181 |
12 | 18b28aa060 |
13 | b05cc055a |
14 | 6157a9a2c |
15 | 37a46aa99 |
hex | 2188f2dc8 |
9001971144 has 24 divisors (see below), whose sum is σ = 24380338710. Its totient is φ = 3000657024.
The previous prime is 9001971133. The next prime is 9001971151. The reversal of 9001971144 is 4411791009.
It can be written as a sum of positive squares in only one way, i.e., 5831155044 + 3170816100 = 76362^2 + 56310^2 .
It is a tau number, because it is divible by the number of its divisors (24).
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 = 9001971099 and 9001971108.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62513617 + ... + 62513760.
Almost surely, 29001971144 is an apocalyptic number.
It is an amenable number.
9001971144 is an abundant number, since it is smaller than the sum of its proper divisors (15378367566).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9001971144 is a wasteful number, since it uses less digits than its factorization.
9001971144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 125027389 (or 125027382 counting only the distinct ones).
The product of its (nonzero) digits is 9072, while the sum is 36.
The square root of 9001971144 is about 94878.7180773434. The cubic root of 9001971144 is about 2080.2356691797.
The spelling of 9001971144 in words is "nine billion, one million, nine hundred seventy-one thousand, one hundred forty-four".
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