Base | Representation |
---|---|
bin | 10110100111100111… |
… | …00111001101111000 |
3 | 1011100022001112120000 |
4 | 23103303213031320 |
5 | 144332211112034 |
6 | 5324552233000 |
7 | 606632453100 |
oct | 132363471570 |
9 | 34308045500 |
10 | 12143457144 |
11 | 51717350a5 |
12 | 242a99b760 |
13 | 11b6ab2600 |
14 | 832ac2200 |
15 | 4b115b599 |
hex | 2d3ce7378 |
12143457144 has 720 divisors, whose sum is σ = 44831603520. Its totient is φ = 3056901120.
The previous prime is 12143457133. The next prime is 12143457167. The reversal of 12143457144 is 44175434121.
12143457144 is a `hidden beast` number, since 1 + 2 + 1 + 43 + 4 + 571 + 44 = 666.
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 = 12143457099 and 12143457108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 166348692 + ... + 166348764.
It is an arithmetic number, because the mean of its divisors is an integer number (62266116).
Almost surely, 212143457144 is an apocalyptic number.
12143457144 is a gapful number since it is divisible by the number (14) 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 12143457144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22415801760).
12143457144 is an abundant number, since it is smaller than the sum of its proper divisors (32688146376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12143457144 is a wasteful number, since it uses less digits than its factorization.
12143457144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 162 (or 129 counting only the distinct ones).
The product of its digits is 53760, while the sum is 36.
The spelling of 12143457144 in words is "twelve billion, one hundred forty-three million, four hundred fifty-seven thousand, one hundred forty-four".
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