Search a number
-
+
14423634336 = 2537311291823
BaseRepresentation
bin11010110111011011…
…10011000110100000
31101020012121112122010
431123231303012200
5214014422244321
610343124312520
71020300604026
oct153355630640
941205545563
1014423634336
116131846a61
122966542740
13148b306b97
149ab870716
15596414676
hex35bb731a0

14423634336 has 96 divisors (see below), whose sum is σ = 38435765760. Its totient is φ = 4735217664.

The previous prime is 14423634311. The next prime is 14423634359. The reversal of 14423634336 is 63343632441.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 14423634294 and 14423634303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7911121 + ... + 7912943.

It is an arithmetic number, because the mean of its divisors is an integer number (400372560).

Almost surely, 214423634336 is an apocalyptic number.

14423634336 is a gapful number since it is divisible by the number (16) 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 14423634336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19217882880).

14423634336 is an abundant number, since it is smaller than the sum of its proper divisors (24012131424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14423634336 is a wasteful number, since it uses less digits than its factorization.

14423634336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3030 counting only the distinct ones).

The product of its digits is 373248, while the sum is 39.

The spelling of 14423634336 in words is "fourteen billion, four hundred twenty-three million, six hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1129 1168 1752 1823 2258 2336 3387 3504 3646 4516 5469 6774 7008 7292 9032 10938 13548 14584 18064 21876 27096 29168 36128 43752 54192 58336 82417 87504 108384 133079 164834 175008 247251 266158 329668 399237 494502 532316 659336 798474 989004 1064632 1318672 1596948 1978008 2058167 2129264 2637344 3193896 3956016 4116334 4258528 6174501 6387792 7912032 8232668 12349002 12775584 16465336 24698004 32930672 49396008 65861344 98792016 150246191 197584032 300492382 450738573 600984764 901477146 1201969528 1802954292 2403939056 3605908584 4807878112 7211817168 14423634336