| Base | Representation |
|---|---|
| bin | 111110000111011… |
| … | …101101100000000 |
| 3 | 2200121222101210221 |
| 4 | 332013131230000 |
| 5 | 4113242102000 |
| 6 | 251224432424 |
| 7 | 34553035462 |
| oct | 7607355400 |
| 9 | 2617871727 |
| 10 | 1042144000 |
| 11 | 495299237 |
| 12 | 251018714 |
| 13 | 137ba4871 |
| 14 | 9c59c132 |
| 15 | 6175861a |
| hex | 3e1ddb00 |
1042144000 has 144 divisors (see below), whose sum is σ = 2688023520. Its totient is φ = 402124800.
The previous prime is 1042143997. The next prime is 1042144003. The reversal of 1042144000 is 4412401.
1042144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1042143997) and next prime (1042144003).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (1042144003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927439 + ... + 928561.
It is an arithmetic number, because the mean of its divisors is an integer number (18666830).
Almost surely, 21042144000 is an apocalyptic number.
1042144000 is a gapful number since it is divisible by the number (10) 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 1042144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344011760).
1042144000 is an abundant number, since it is smaller than the sum of its proper divisors (1645879520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1042144000 is an equidigital number, since it uses as much as digits as its factorization.
1042144000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1183 (or 1159 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
The square root of 1042144000 is about 32282.2551876414. The cubic root of 1042144000 is about 1013.8551482972.
Adding to 1042144000 its reverse (4412401), we get a palindrome (1046556401).
The spelling of 1042144000 in words is "one billion, forty-two million, one hundred forty-four thousand".
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