Base | Representation |
---|---|
bin | 11010101111111001… |
… | …01111110010000000 |
3 | 1101001210201010211111 |
4 | 31113330233302000 |
5 | 213402233202112 |
6 | 10332550053104 |
7 | 1015602521524 |
oct | 152774576200 |
9 | 41053633744 |
10 | 14360444032 |
11 | 60aa107170 |
12 | 294934a194 |
13 | 147b1b0a7c |
14 | 9a3301d84 |
15 | 590ad15a7 |
hex | 357f2fc80 |
14360444032 has 64 divisors (see below), whose sum is σ = 31233346560. Its totient is φ = 6522485760.
The previous prime is 14360444029. The next prime is 14360444041. The reversal of 14360444032 is 23044406341.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-3 number, since 3×143604440323 (a number of 31 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 14360443985 and 14360444003.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2338438 + ... + 2344570.
It is an arithmetic number, because the mean of its divisors is an integer number (488021040).
Almost surely, 214360444032 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 14360444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15616673280).
14360444032 is an abundant number, since it is smaller than the sum of its proper divisors (16872902528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14360444032 is a wasteful number, since it uses less digits than its factorization.
14360444032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7821 (or 7809 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 31.
The spelling of 14360444032 in words is "fourteen billion, three hundred sixty million, four hundred forty-four thousand, thirty-two".
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