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224322123442041 = 32132949187475501
BaseRepresentation
bin110011000000010100010000…
…011110111010011101111001
31002102020222121110212121000200
4303000110100132322131321
5213400243202100121131
62113032054424552413
765151511223412222
oct6300242036723571
91072228543777020
10224322123442041
1165526529687749
12211ab169322709
13982264077c741
143d5736a638249
151ae01ee9532e6
hexcc05107ba779

224322123442041 has 12 divisors (see below), whose sum is σ = 324023283881700. Its totient is φ = 149546956644000.

The previous prime is 224322123442037. The next prime is 224322123442069. The reversal of 224322123442041 is 140244321223422.

224322123442041 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 221 + 2 + 3 + 4 + 420 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 179926274595600 + 44395848846441 = 13413660^2 + 6663021^2 .

It is not a de Polignac number, because 224322123442041 - 22 = 224322123442037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224322123441987 and 224322123442005.

It is not an unprimeable number, because it can be changed into a prime (224322123442841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92541210 + ... + 94934291.

It is an arithmetic number, because the mean of its divisors is an integer number (27001940323475).

Almost surely, 2224322123442041 is an apocalyptic number.

It is an amenable number.

224322123442041 is a deficient number, since it is larger than the sum of its proper divisors (99701160439659).

224322123442041 is a wasteful number, since it uses less digits than its factorization.

224322123442041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187608456 (or 187608453 counting only the distinct ones).

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

Adding to 224322123442041 its reverse (140244321223422), we get a palindrome (364566444665463).

The spelling of 224322123442041 in words is "two hundred twenty-four trillion, three hundred twenty-two billion, one hundred twenty-three million, four hundred forty-two thousand, forty-one".

Divisors: 1 3 9 132949 398847 1196541 187475501 562426503 1687279509 24924680382449 74774041147347 224322123442041