Search a number
-
+
14468431808 = 261773182167
BaseRepresentation
bin11010111100110001…
…01011111111000000
31101100022220111012202
431132120223333000
5214112404304213
610351404412332
71021353432635
oct153630537700
941308814182
1014468431808
116155063a66
1229795470a8
13149769026c
149b37b218c
1559a312b58
hex35e62bfc0

14468431808 has 56 divisors (see below), whose sum is σ = 30816267552. Its totient is φ = 6715367424.

The previous prime is 14468431807. The next prime is 14468431829. The reversal of 14468431808 is 80813486441.

It is a super-2 number, since 2×144684318082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14468431801) by changing a digit.

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, 11660 + ... + 170507.

It is an arithmetic number, because the mean of its divisors is an integer number (550290492).

Almost surely, 214468431808 is an apocalyptic number.

It is an amenable number.

14468431808 is an abundant number, since it is smaller than the sum of its proper divisors (16347835744).

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

14468431808 is a wasteful number, since it uses less digits than its factorization.

14468431808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182269 (or 182259 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The spelling of 14468431808 in words is "fourteen billion, four hundred sixty-eight million, four hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 136 146 272 292 544 584 1088 1168 1241 2336 2482 4672 4964 9928 19856 39712 79424 182167 364334 728668 1457336 2914672 3096839 5829344 6193678 11658688 12387356 13298191 24774712 26596382 49549424 53192764 99098848 106385528 198197696 212771056 226069247 425542112 452138494 851084224 904276988 1808553976 3617107952 7234215904 14468431808