| Base | Representation |
|---|---|
| bin | 111110000111011… |
| … | …101110010100000 |
| 3 | 2200121222102101100 |
| 4 | 332013131302200 |
| 5 | 4113242110131 |
| 6 | 251224434400 |
| 7 | 34553036625 |
| oct | 7607356240 |
| 9 | 2617872340 |
| 10 | 1042144416 |
| 11 | 495299585 |
| 12 | 251018a00 |
| 13 | 137ba4b01 |
| 14 | 9c59c34c |
| 15 | 617587e6 |
| hex | 3e1ddca0 |
1042144416 has 72 divisors (see below), whose sum is σ = 2979112500. Its totient is φ = 345563136.
The previous prime is 1042144373. The next prime is 1042144417. The reversal of 1042144416 is 6144412401.
1042144416 is a `hidden beast` number, since 1 + 0 + 4 + 214 + 441 + 6 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1038128400 + 4016016 = 32220^2 + 2004^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a self number, because there is not a number n which added to its sum of digits gives 1042144416.
It is not an unprimeable number, because it can be changed into a prime (1042144417) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46210 + ... + 64958.
Almost surely, 21042144416 is an apocalyptic number.
1042144416 is a gapful number since it is divisible by the number (16) 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 1042144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489556250).
1042144416 is an abundant number, since it is smaller than the sum of its proper divisors (1936968084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1042144416 is a wasteful number, since it uses less digits than its factorization.
1042144416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18958 (or 18947 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 1042144416 is about 32282.2616308090. The cubic root of 1042144416 is about 1013.8552831998.
Adding to 1042144416 its reverse (6144412401), we get a palindrome (7186556817).
The spelling of 1042144416 in words is "one billion, forty-two million, one hundred forty-four thousand, four hundred sixteen".
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