Base | Representation |
---|---|
bin | 10000100111100111001… |
… | …010010110010010000000 |
3 | 11001011211001100212220000 |
4 | 100213213022112102000 |
5 | 122202401403124130 |
6 | 2232351550520000 |
7 | 145336633533564 |
oct | 20474712262200 |
9 | 4034731325800 |
10 | 1142044583040 |
11 | 40037a437589 |
12 | 165404506000 |
13 | 8390461478a |
14 | 3d3bd4176a4 |
15 | 1ea91c05260 |
hex | 109e7296480 |
1142044583040 has 960 divisors, whose sum is σ = 4474044115200. Its totient is φ = 277271838720.
The previous prime is 1142044582949. The next prime is 1142044583077. The reversal of 1142044583040 is 403854402411.
1142044583040 is a `hidden beast` number, since 1 + 14 + 20 + 4 + 4 + 583 + 0 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
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 = 1142044582986 and 1142044583004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 464433331 + ... + 464435789.
It is an arithmetic number, because the mean of its divisors is an integer number (4660462620).
Almost surely, 21142044583040 is an apocalyptic number.
1142044583040 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 1142044583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237022057600).
1142044583040 is an abundant number, since it is smaller than the sum of its proper divisors (3331999532160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1142044583040 is a wasteful number, since it uses less digits than its factorization.
1142044583040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2555 (or 2517 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
Adding to 1142044583040 its reverse (403854402411), we get a palindrome (1545898985451).
The spelling of 1142044583040 in words is "one trillion, one hundred forty-two billion, forty-four million, five hundred eighty-three thousand, forty".
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