Base | Representation |
---|---|
bin | 11110100111111000… |
… | …00010110100010100 |
3 | 1120102202221202220020 |
4 | 33103330002310110 |
5 | 232132300302034 |
6 | 11315215505140 |
7 | 1121262042300 |
oct | 172374026424 |
9 | 46382852806 |
10 | 16440634644 |
11 | 6a77345165 |
12 | 3229b281b0 |
13 | 17201541a5 |
14 | b1d6b2d00 |
15 | 663534249 |
hex | 3d3f02d14 |
16440634644 has 144 divisors (see below), whose sum is σ = 46291150080. Its totient is φ = 4522801920.
The previous prime is 16440634627. The next prime is 16440634657. The reversal of 16440634644 is 44643604461.
16440634644 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 3×164406346443 (a number of 32 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 16440634596 and 16440634605.
It is a congruent number.
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 47 ways as a sum of consecutive naturals, for example, 7348294 + ... + 7350530.
It is an arithmetic number, because the mean of its divisors is an integer number (321466320).
Almost surely, 216440634644 is an apocalyptic number.
16440634644 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 16440634644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23145575040).
16440634644 is an abundant number, since it is smaller than the sum of its proper divisors (29850515436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16440634644 is a wasteful number, since it uses less digits than its factorization.
16440634644 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2718 (or 2709 counting only the distinct ones).
The product of its (nonzero) digits is 663552, while the sum is 42.
The spelling of 16440634644 in words is "sixteen billion, four hundred forty million, six hundred thirty-four thousand, six hundred forty-four".
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