Base | Representation |
---|---|
bin | 101111101001111… |
… | …0110101010010000 |
3 | 11010102212122201001 |
4 | 1133103312222100 |
5 | 11233323241034 |
6 | 422400551344 |
7 | 54424421422 |
oct | 13723665220 |
9 | 4112778631 |
10 | 1599040144 |
11 | 750686589 |
12 | 387622554 |
13 | 1c638ac00 |
14 | 112524812 |
15 | 955aea14 |
hex | 5f4f6a90 |
1599040144 has 45 divisors (see below), whose sum is σ = 3359159163. Its totient is φ = 737058816.
The previous prime is 1599040123. The next prime is 1599040169. The reversal of 1599040144 is 4410409951.
The square root of 1599040144 is 39988.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 367872400 + 1231167744 = 19180^2 + 35088^2 .
It is a Duffinian number.
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 8 ways as a sum of consecutive naturals, for example, 2078992 + ... + 2079760.
Almost surely, 21599040144 is an apocalyptic number.
1599040144 is the 39988-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1599040144
1599040144 is an abundant number, since it is smaller than the sum of its proper divisors (1760119019).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1599040144 is an frugal number, since it uses more digits than its factorization.
1599040144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1572 (or 784 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 37.
The cubic root of 1599040144 is about 1169.3731621685.
The spelling of 1599040144 in words is "one billion, five hundred ninety-nine million, forty thousand, one hundred forty-four".
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