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14431313112 = 23310940113757
BaseRepresentation
bin11010111000010110…
…00101110011011000
31101020202001122221020
431130023011303120
5214023404004422
610344001042440
71020423065106
oct153413056330
941222048836
1014431313112
116136111157
122969026420
13148ca95038
149ac8acc76
15596e2e95c
hex35c2c5cd8

14431313112 has 64 divisors (see below), whose sum is σ = 36502725600. Its totient is φ = 4754073600.

The previous prime is 14431313081. The next prime is 14431313179. The reversal of 14431313112 is 21131313441.

It is a happy number.

14431313112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042138 + ... + 1055894.

Almost surely, 214431313112 is an apocalyptic number.

14431313112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14431313112 is an abundant number, since it is smaller than the sum of its proper divisors (22071412488).

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

14431313112 is a wasteful number, since it uses less digits than its factorization.

14431313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14276 (or 14272 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 14431313112 its reverse (21131313441), we get a palindrome (35562626553).

The spelling of 14431313112 in words is "fourteen billion, four hundred thirty-one million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 109 218 327 401 436 654 802 872 1203 1308 1604 2406 2616 3208 4812 9624 13757 27514 41271 43709 55028 82542 87418 110056 131127 165084 174836 262254 330168 349672 524508 1049016 1499513 2999026 4498539 5516557 5998052 8997078 11033114 11996104 16549671 17994156 22066228 33099342 35988312 44132456 66198684 132397368 601304713 1202609426 1803914139 2405218852 3607828278 4810437704 7215656556 14431313112