| Base | Representation |
|---|---|
| bin | 111111111101101… |
| … | …110001010000000 |
| 3 | 2202210022101102200 |
| 4 | 333331232022000 |
| 5 | 4144211110243 |
| 6 | 254253113200 |
| 7 | 35410402005 |
| oct | 7775561200 |
| 9 | 2683271380 |
| 10 | 1073144448 |
| 11 | 500842342 |
| 12 | 25b488800 |
| 13 | 14143a01c |
| 14 | a274b8ac |
| 15 | 6432dad3 |
| hex | 3ff6e280 |
1073144448 has 192 divisors, whose sum is σ = 3360375720. Its totient is φ = 327352320.
The previous prime is 1073144447. The next prime is 1073144459. The reversal of 1073144448 is 8444413701.
It is a happy number.
1073144448 is a `hidden beast` number, since 1 + 0 + 73 + 144 + 448 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1070074944 + 3069504 = 32712^2 + 1752^2 .
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (1073144441) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 723868 + ... + 725348.
Almost surely, 21073144448 is an apocalyptic number.
1073144448 is a gapful number since it is divisible by the number (18) 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 1073144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680187860).
1073144448 is an abundant number, since it is smaller than the sum of its proper divisors (2287231272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1073144448 is a wasteful number, since it uses less digits than its factorization.
1073144448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1555 (or 1540 counting only the distinct ones).
The product of its (nonzero) digits is 43008, while the sum is 36.
The square root of 1073144448 is about 32758.8834974576. The cubic root of 1073144448 is about 1023.8100640559.
The spelling of 1073144448 in words is "one billion, seventy-three million, one hundred forty-four thousand, four hundred forty-eight".
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