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14310212224 = 277111451929
BaseRepresentation
bin11010101001111010…
…01000001010000000
31100221022012002202011
431110331020022000
5213301403242344
610323553302304
71014422540230
oct152475101200
940838162664
1014310212224
116083818280
122934564994
131470973cc9
1499a787cc0
1558b4acd34
hex354f48280

14310212224 has 64 divisors (see below), whose sum is σ = 35543246400. Its totient is φ = 5575403520.

The previous prime is 14310212201. The next prime is 14310212261. The reversal of 14310212224 is 42221201341.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14310212195 and 14310212204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716109 + ... + 735820.

It is an arithmetic number, because the mean of its divisors is an integer number (555363225).

Almost surely, 214310212224 is an apocalyptic number.

14310212224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14310212224 is an abundant number, since it is smaller than the sum of its proper divisors (21233034176).

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

14310212224 is a wasteful number, since it uses less digits than its factorization.

14310212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451961 (or 1451949 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14310212224 its reverse (42221201341), we get a palindrome (56531413565).

The spelling of 14310212224 in words is "fourteen billion, three hundred ten million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 1451929 2903858 5807716 10163503 11615432 15971219 20327006 23230864 31942438 40654012 46461728 63884876 81308024 92923456 111798533 127769752 162616048 185846912 223597066 255539504 325232096 447194132 511079008 650464192 894388264 1022158016 1300928384 1788776528 2044316032 3577553056 7155106112 14310212224