Base | Representation |
---|---|
bin | 11010110000110101… |
… | …00000000100000000 |
3 | 1101002100101102100000 |
4 | 31120122200010000 |
5 | 213411232301333 |
6 | 10333425200000 |
7 | 1016026026051 |
oct | 153032400400 |
9 | 41070342300 |
10 | 14368243968 |
11 | 61035543a1 |
12 | 294ba90000 |
13 | 147c9b2110 |
14 | 9a4372728 |
15 | 591622713 |
hex | 3586a0100 |
14368243968 has 432 divisors, whose sum is σ = 46977170240. Its totient is φ = 4353564672.
The previous prime is 14368243931. The next prime is 14368243997. The reversal of 14368243968 is 86934286341.
14368243968 is a `hidden beast` number, since 1 + 436 + 82 + 43 + 96 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (432).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88148655 + ... + 88148817.
Almost surely, 214368243968 is an apocalyptic number.
14368243968 is a gapful number since it is divisible by the number (18) 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 14368243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23488585120).
14368243968 is an abundant number, since it is smaller than the sum of its proper divisors (32608926272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14368243968 is a wasteful number, since it uses less digits than its factorization.
14368243968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 316 (or 290 counting only the distinct ones).
The product of its digits is 5971968, while the sum is 54.
The spelling of 14368243968 in words is "fourteen billion, three hundred sixty-eight million, two hundred forty-three thousand, nine hundred sixty-eight".
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