Base | Representation |
---|---|
bin | 11010101101111011… |
… | …11111100100110000 |
3 | 1101000122202101011000 |
4 | 31112331333210300 |
5 | 213334030244043 |
6 | 10331201322000 |
7 | 1015312635315 |
oct | 152675774460 |
9 | 41018671130 |
10 | 14343993648 |
11 | 60a08a0806 |
12 | 2943936300 |
13 | 147797120a |
14 | 9a105cd0c |
15 | 58e4322d3 |
hex | 356f7f930 |
14343993648 has 160 divisors (see below), whose sum is σ = 42678468800. Its totient is φ = 4608866304.
The previous prime is 14343993647. The next prime is 14343993649. The reversal of 14343993648 is 84639934341.
It is a happy number.
14343993648 is a `hidden beast` number, since 143 + 439 + 9 + 3 + 64 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (14343993647) and next prime (14343993649).
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 a junction number, because it is equal to n+sod(n) for n = 14343993594 and 14343993603.
It is not an unprimeable number, because it can be changed into a prime (14343993641) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1738140 + ... + 1746372.
It is an arithmetic number, because the mean of its divisors is an integer number (266740430).
Almost surely, 214343993648 is an apocalyptic number.
14343993648 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 14343993648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21339234400).
14343993648 is an abundant number, since it is smaller than the sum of its proper divisors (28334475152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14343993648 is a wasteful number, since it uses less digits than its factorization.
14343993648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8396 (or 8384 counting only the distinct ones).
The product of its digits is 6718464, while the sum is 54.
The spelling of 14343993648 in words is "fourteen billion, three hundred forty-three million, nine hundred ninety-three thousand, six hundred forty-eight".
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