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4212224304345 = 325293319470937
BaseRepresentation
bin111101010010111100001…
…000100010010011011001
3112220200111011011101111100
4331102330020202103121
51023003113410214340
612543022533222013
7613215562555311
oct75227410422331
915820434141440
104212224304345
111384437897632
12580435491909
13247298896095
14107c30b4a441
157488270a830
hex3d4bc2224d9

4212224304345 has 24 divisors (see below), whose sum is σ = 7326107550216. Its totient is φ = 2238852319488.

The previous prime is 4212224304331. The next prime is 4212224304349. The reversal of 4212224304345 is 5434034222124.

4212224304345 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 2 + 2 + 4 + 304 + 345 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2663267330304 + 1548956974041 = 1631952^2 + 1244571^2 .

It is not a de Polignac number, because 4212224304345 - 25 = 4212224304313 is a prime.

It is a super-2 number, since 2×42122243043452 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4212224304349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159722284 + ... + 159748653.

It is an arithmetic number, because the mean of its divisors is an integer number (305254481259).

Almost surely, 24212224304345 is an apocalyptic number.

4212224304345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4212224304345 is a deficient number, since it is larger than the sum of its proper divisors (3113883245871).

4212224304345 is a wasteful number, since it uses less digits than its factorization.

4212224304345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319471241 (or 319471238 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 4212224304345 its reverse (5434034222124), we get a palindrome (9646258526469).

The spelling of 4212224304345 in words is "four trillion, two hundred twelve billion, two hundred twenty-four million, three hundred four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 293 879 1465 2637 4395 13185 319470937 958412811 1597354685 2875238433 4792064055 14376192165 93604984541 280814953623 468024922705 842444860869 1404074768115 4212224304345