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14265444312 = 2332728304453
BaseRepresentation
bin11010100100100100…
…10110011111011000
31100211011221122201100
431102102112133120
5213203423204222
610315313551400
71013340163440
oct152222263730
940734848640
1014265444312
1160605204a9
122921575560
1314645cb212
14994853120
155875b84ac
hex3524967d8

14265444312 has 48 divisors (see below), whose sum is σ = 44154948240. Its totient is φ = 4075841088.

The previous prime is 14265444241. The next prime is 14265444329. The reversal of 14265444312 is 21344456241.

14265444312 is a `hidden beast` number, since 142 + 65 + 4 + 443 + 12 = 666.

14265444312 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 (36).

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 11 ways as a sum of consecutive naturals, for example, 14151723 + ... + 14152730.

It is an arithmetic number, because the mean of its divisors is an integer number (919894755).

Almost surely, 214265444312 is an apocalyptic number.

14265444312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14265444312 is an abundant number, since it is smaller than the sum of its proper divisors (29889503928).

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

14265444312 is a wasteful number, since it uses less digits than its factorization.

14265444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28304472 (or 28304465 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

It can be divided in two parts, 142654 and 44312, that added together give a triangular number (186966 = T611).

The spelling of 14265444312 in words is "fourteen billion, two hundred sixty-five million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 28304453 56608906 84913359 113217812 169826718 198131171 226435624 254740077 339653436 396262342 509480154 594393513 679306872 792524684 1018960308 1188787026 1585049368 1783180539 2037920616 2377574052 3566361078 4755148104 7132722156 14265444312