Base | Representation |
---|---|
bin | 100111011110010000… |
… | …010111000000000000 |
3 | 11001101210002201101100 |
4 | 213132100113000000 |
5 | 1143300141124003 |
6 | 31245402134400 |
7 | 3030206053503 |
oct | 473620270000 |
9 | 131353081340 |
10 | 42383536128 |
11 | 16a7a44600a |
12 | 826a1b1400 |
13 | 3cc5b2547b |
14 | 20a0d8313a |
15 | 1180da9ba3 |
hex | 9de417000 |
42383536128 has 156 divisors (see below), whose sum is σ = 129629848608. Its totient is φ = 13296599040.
The previous prime is 42383536081. The next prime is 42383536141. The reversal of 42383536128 is 82163538324.
42383536128 is a `hidden beast` number, since 4 + 23 + 8 + 3 + 5 + 3 + 612 + 8 = 666.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592873 + ... + 660503.
It is an arithmetic number, because the mean of its divisors is an integer number (830960568).
Almost surely, 242383536128 is an apocalyptic number.
42383536128 is a gapful number since it is divisible by the number (48) 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 42383536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64814924304).
42383536128 is an abundant number, since it is smaller than the sum of its proper divisors (87246312480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42383536128 is a wasteful number, since it uses less digits than its factorization.
42383536128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 67678 (or 67653 counting only the distinct ones).
The product of its digits is 829440, while the sum is 45.
The spelling of 42383536128 in words is "forty-two billion, three hundred eighty-three million, five hundred thirty-six thousand, one hundred twenty-eight".
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