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204411411441 = 321719580712109
BaseRepresentation
bin1011111001011111011…
…1101001101111110001
3201112121210010121100100
42332113313221233301
511322113310131231
6233523313543013
720524335220566
oct2762767515761
9645553117310
10204411411441
1179765a04986
1233748b74a69
13163782492c3
149c71d2a86d
1554b58b41e6
hex2f97de9bf1

204411411441 has 48 divisors (see below), whose sum is σ = 329167238400. Its totient is φ = 121476754944.

The previous prime is 204411411439. The next prime is 204411411443. The reversal of 204411411441 is 144114114402.

204411411441 is a `hidden beast` number, since 204 + 4 + 1 + 1 + 4 + 11 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (204411411439) and next prime (204411411443).

It is not a de Polignac number, because 204411411441 - 21 = 204411411439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204411411443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16874895 + ... + 16887003.

It is an arithmetic number, because the mean of its divisors is an integer number (6857650800).

Almost surely, 2204411411441 is an apocalyptic number.

It is an amenable number.

204411411441 is a deficient number, since it is larger than the sum of its proper divisors (124755826959).

204411411441 is a wasteful number, since it uses less digits than its factorization.

204411411441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17958 (or 17955 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 204411411441 its reverse (144114114402), we get a palindrome (348525525843).

The spelling of 204411411441 in words is "two hundred four billion, four hundred eleven million, four hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 5807 12109 17421 36327 52263 98719 108981 110333 205853 230071 296157 330999 617559 690213 888471 992997 1852677 1875661 2070639 3911207 5626983 11733621 16880949 35200863 70316963 210950889 632852667 1195388371 1336022297 3586165113 4008066891 10758495339 12024200673 22712379049 68137137147 204411411441