Base | Representation |
---|---|
bin | 11010111000110101… |
… | …00000101000100000 |
3 | 1101021000200000121000 |
4 | 31130122200220200 |
5 | 214030422331133 |
6 | 10344223432000 |
7 | 1020502331403 |
oct | 153432405040 |
9 | 41230600530 |
10 | 14435355168 |
11 | 6138421aa3 |
12 | 296a455600 |
13 | 149087baa0 |
14 | 9ad241d3a |
15 | 59747c413 |
hex | 35c6a0a20 |
14435355168 has 96 divisors (see below), whose sum is σ = 45341856000. Its totient is φ = 4441644288.
The previous prime is 14435355167. The next prime is 14435355191. The reversal of 14435355168 is 86155353441.
14435355168 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 535 + 51 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (14435355167) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631368 + ... + 653831.
It is an arithmetic number, because the mean of its divisors is an integer number (472311000).
Almost surely, 214435355168 is an apocalyptic number.
14435355168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
14435355168 is an abundant number, since it is smaller than the sum of its proper divisors (30906500832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14435355168 is a wasteful number, since it uses less digits than its factorization.
14435355168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1285231 (or 1285217 counting only the distinct ones).
The product of its digits is 864000, while the sum is 45.
The spelling of 14435355168 in words is "fourteen billion, four hundred thirty-five million, three hundred fifty-five thousand, one hundred sixty-eight".
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