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12224540691441 = 3213432429843111
BaseRepresentation
bin1011000111100011111101…
…1001111100101111110001
31121021122200021000002012200
42301320333121330233301
53100241324404111231
641555513152213413
72401123341261621
oct261707731745761
947248607002180
1012224540691441
113993442588781
121455245b3a269
136a8a00039650
14303957044881
15162ec5a8abe6
hexb1e3f67cbf1

12224540691441 has 24 divisors (see below), whose sum is σ = 19458183640896. Its totient is φ = 7347845564640.

The previous prime is 12224540691421. The next prime is 12224540691497. The reversal of 12224540691441 is 14419604542221.

12224540691441 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 4 + 540 + 69 + 1 + 4 + 41 = 666.

It is not a de Polignac number, because 12224540691441 - 235 = 12190180953073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12224540691421) 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, 1214916525 + ... + 1214926586.

It is an arithmetic number, because the mean of its divisors is an integer number (810757651704).

Almost surely, 212224540691441 is an apocalyptic number.

It is an amenable number.

12224540691441 is a deficient number, since it is larger than the sum of its proper divisors (7233642949455).

12224540691441 is a wasteful number, since it uses less digits than its factorization.

12224540691441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429843173 (or 2429843170 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12224540691441 in words is "twelve trillion, two hundred twenty-four billion, five hundred forty million, six hundred ninety-one thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 43 117 129 387 559 1677 5031 2429843111 7289529333 21868587999 31587960443 94763881329 104483253773 284291643987 313449761319 940349283957 1358282299049 4074846897147 12224540691441