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14344323012 = 22322953397653
BaseRepresentation
bin11010101101111110…
…01111111111000100
31101000200101002221200
431112333033333010
5213334121314022
610331212342500
71015315506465
oct152677177704
941020332850
1014344323012
1160a0aa6208
122943a74a30
131477a580c6
149a1106d6c
1558e499bac
hex356fcffc4

14344323012 has 144 divisors (see below), whose sum is σ = 38372246640. Its totient is φ = 4511130624.

The previous prime is 14344322989. The next prime is 14344323029. The reversal of 14344323012 is 21032344341.

14344323012 is a `hidden beast` number, since 14 + 344 + 3 + 2 + 301 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75064896 + 14269258116 = 8664^2 + 119454^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21966478 + ... + 21967130.

It is an arithmetic number, because the mean of its divisors is an integer number (266473935).

Almost surely, 214344323012 is an apocalyptic number.

14344323012 is a gapful number since it is divisible by the number (12) 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 14344323012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186123320).

14344323012 is an abundant number, since it is smaller than the sum of its proper divisors (24027923628).

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

14344323012 is a wasteful number, since it uses less digits than its factorization.

14344323012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14344323012 its reverse (21032344341), we get a palindrome (35376667353).

The spelling of 14344323012 in words is "fourteen billion, three hundred forty-four million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 87 106 116 159 174 212 261 318 348 397 477 522 636 653 794 954 1044 1191 1306 1537 1588 1908 1959 2382 2612 3074 3573 3918 4611 4764 5877 6148 7146 7836 9222 11513 11754 13833 14292 18444 18937 21041 23026 23508 27666 34539 34609 37874 42082 46052 55332 56811 63123 69078 69218 75748 84164 103617 103827 113622 126246 138156 138436 170433 189369 207234 207654 227244 252492 259241 311481 340866 378738 414468 415308 518482 610189 622962 681732 757476 777723 1003661 1036964 1220378 1245924 1555446 1830567 2007322 2333169 2440756 3010983 3110892 3661134 4014644 4666338 5491701 6021966 7322268 7517989 9032949 9332676 10983402 12043932 13739773 15035978 18065898 21966804 22553967 27479546 30071956 36131796 41219319 45107934 54959092 67661901 82438638 90215868 123657957 135323802 164877276 247315914 270647604 398453417 494631828 796906834 1195360251 1593813668 2390720502 3586080753 4781441004 7172161506 14344323012