Base | Representation |
---|---|
bin | 100101101010101001… |
… | …100111011100100000 |
3 | 10212101121112002001010 |
4 | 211222221213130200 |
5 | 1130312131000112 |
6 | 30325115140520 |
7 | 2631145220352 |
oct | 455251473440 |
9 | 125347462033 |
10 | 40444000032 |
11 | 16174646917 |
12 | 7a08744740 |
13 | 3a7705b287 |
14 | 1d595470d2 |
15 | 10ba98c63c |
hex | 96aa67720 |
40444000032 has 96 divisors (see below), whose sum is σ = 110996379648. Its totient is φ = 12870164736.
The previous prime is 40444000007. The next prime is 40444000049. The reversal of 40444000032 is 23000044404.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 40443999972 and 40444000008.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137273 + ... + 1172295.
It is an arithmetic number, because the mean of its divisors is an integer number (1156212288).
Almost surely, 240444000032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40444000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55498189824).
40444000032 is an abundant number, since it is smaller than the sum of its proper divisors (70552379616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40444000032 is a wasteful number, since it uses less digits than its factorization.
40444000032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35582 (or 35574 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 21.
Adding to 40444000032 its reverse (23000044404), we get a palindrome (63444044436).
The spelling of 40444000032 in words is "forty billion, four hundred forty-four million, thirty-two", and thus it is an aban number.
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