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414243323204 = 2237137166912241
BaseRepresentation
bin1100000011100101101…
…00110111110101000100
31110121020022220011020212
412001302310313311010
523241332242320304
6514144544014552
741633223102434
oct6016264676504
91417208804225
10414243323204
1114a752613997
1268349301458
13300a8492839
1416099ad82c4
15ab9709266e
hex6072d37d44

414243323204 has 48 divisors (see below), whose sum is σ = 750463491120. Its totient is φ = 199916605440.

The previous prime is 414243323191. The next prime is 414243323209. The reversal of 414243323204 is 402323342414.

It can be written as a sum of positive squares in 8 ways, for example, as 10599114304 + 403644208900 = 102952^2 + 635330^2 .

It is not an unprimeable number, because it can be changed into a prime (414243323209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33834524 + ... + 33846764.

It is an arithmetic number, because the mean of its divisors is an integer number (15634656065).

Almost surely, 2414243323204 is an apocalyptic number.

It is an amenable number.

414243323204 is a deficient number, since it is larger than the sum of its proper divisors (336220167916).

414243323204 is a wasteful number, since it uses less digits than its factorization.

414243323204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14088 (or 14086 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 414243323204 its reverse (402323342414), we get a palindrome (816566665618).

The spelling of 414243323204 in words is "four hundred fourteen billion, two hundred forty-three million, three hundred twenty-three thousand, two hundred four".

Divisors: 1 2 4 37 74 137 148 274 548 1669 3338 5069 6676 10138 12241 20276 24482 48964 61753 123506 228653 247012 452917 457306 905834 914612 1677017 1811668 3354034 6708068 8460161 16920322 20430229 33840644 40860458 62049629 81720916 124099258 248198516 755918473 1511836946 2798941373 3023673892 5597882746 11195765492 103560830801 207121661602 414243323204