Base | Representation |
---|---|
bin | 10010010000010101010100… |
… | …11110010111011101100110 |
3 | 12021010200201012122021221200 |
4 | 21020022222132113131212 |
5 | 20230203120323414213 |
6 | 221213420530223330 |
7 | 11312165302436400 |
oct | 1110125236273546 |
9 | 167120635567850 |
10 | 40143624435558 |
11 | 118778a74a72a6 |
12 | 460412a724b46 |
13 | 19526b2013b87 |
14 | 9cad67217b70 |
15 | 499363c2a273 |
hex | 2482aa797766 |
40143624435558 has 144 divisors (see below), whose sum is σ = 103001983680960. Its totient is φ = 11263286799072.
The previous prime is 40143624435503. The next prime is 40143624435569. The reversal of 40143624435558 is 85553442634104.
It is a happy number.
40143624435558 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 3 + 624 + 4 + 3 + 5 + 5 + 5 + 8 = 666.
40143624435558 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×401436244355583 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48872685 + ... + 49687287.
It is an arithmetic number, because the mean of its divisors is an integer number (715291553340).
Almost surely, 240143624435558 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40143624435558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51500991840480).
40143624435558 is an abundant number, since it is smaller than the sum of its proper divisors (62858359245402).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40143624435558 is a wasteful number, since it uses less digits than its factorization.
40143624435558 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 815631 (or 815621 counting only the distinct ones).
The product of its (nonzero) digits is 27648000, while the sum is 54.
The spelling of 40143624435558 in words is "forty trillion, one hundred forty-three billion, six hundred twenty-four million, four hundred thirty-five thousand, five hundred fifty-eight".
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