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205141410404 = 22721501769697
BaseRepresentation
bin1011111100001101100…
…0011000001001100100
3201121111122202101122222
42333003120120021210
511330112200113104
6234123552211512
720551411134500
oct2770330301144
9647448671588
10205141410404
1179aaaa83a07
1233911539b98
1316463560058
149d00c73300
155509a101be
hex2fc3618264

205141410404 has 36 divisors (see below), whose sum is σ = 417643101036. Its totient is φ = 87910631424.

The previous prime is 205141410367. The next prime is 205141410407. The reversal of 205141410404 is 404014141502.

It can be written as a sum of positive squares in 2 ways, for example, as 161668326400 + 43473084004 = 402080^2 + 208502^2 .

It is not an unprimeable number, because it can be changed into a prime (205141410407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2908484 + ... + 2978180.

It is an arithmetic number, because the mean of its divisors is an integer number (11601197251).

Almost surely, 2205141410404 is an apocalyptic number.

It is an amenable number.

205141410404 is an abundant number, since it is smaller than the sum of its proper divisors (212501690632).

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

205141410404 is a wasteful number, since it uses less digits than its factorization.

205141410404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84732 (or 84723 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 205141410404 its reverse (404014141502), we get a palindrome (609155551906).

The spelling of 205141410404 in words is "two hundred five billion, one hundred forty-one million, four hundred ten thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 15017 30034 60068 69697 105119 139394 210238 278788 420476 487879 735833 975758 1471666 1951516 2943332 3415153 6830306 13660612 1046639849 2093279698 4186559396 7326478943 14652957886 29305915772 51285352601 102570705202 205141410404