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12242304432441 = 331513241392641
BaseRepresentation
bin1011001000100110001000…
…1101001111100100111001
31121100100112020121121211000
42302021202031033210321
53101034214413314231
642012011554555213
72402322500502156
oct262114215174471
947310466547730
1012242304432441
11399aa28772266
121458782b98b09
136aa5a1328ab5
1430476033122d
151636b53266e6
hexb226234f939

12242304432441 has 32 divisors (see below), whose sum is σ = 18257618551040. Its totient is φ = 8107148736000.

The previous prime is 12242304432419. The next prime is 12242304432451. The reversal of 12242304432441 is 14423440324221.

12242304432441 is a `hidden beast` number, since 1 + 2 + 24 + 2 + 304 + 4 + 324 + 4 + 1 = 666.

It is not a de Polignac number, because 12242304432441 - 214 = 12242304416057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12242304432396 and 12242304432405.

It is not an unprimeable number, because it can be changed into a prime (12242304432451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132101481 + ... + 132194121.

It is an arithmetic number, because the mean of its divisors is an integer number (570550579720).

Almost surely, 212242304432441 is an apocalyptic number.

It is an amenable number.

12242304432441 is a deficient number, since it is larger than the sum of its proper divisors (6015314118599).

12242304432441 is a wasteful number, since it uses less digits than its factorization.

12242304432441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125214 (or 125208 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 12242304432441 its reverse (14423440324221), we get a palindrome (26665744756662).

The spelling of 12242304432441 in words is "twelve trillion, two hundred forty-two billion, three hundred four million, four hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 151 453 1359 4077 32413 92641 97239 277923 291717 833769 875151 2501307 4894363 13988791 14683089 41966373 44049267 125899119 132147801 377697357 3002772733 9008318199 27024954597 81074863791 453418682683 1360256048049 4080768144147 12242304432441