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224042041323 = 3289337829979
BaseRepresentation
bin1101000010100111110…
…0100011111111101011
3210102021212121221001100
43100221330203333223
512132314230310243
6250531250252443
722120653633642
oct3205174437753
9712255557040
10224042041323
1187019989741
1237507287123
1318186248229
14abb5142359
155c63ebc0d3
hex3429f23feb

224042041323 has 24 divisors (see below), whose sum is σ = 328223890800. Its totient is φ = 147244737024.

The previous prime is 224042041303. The next prime is 224042041367. The reversal of 224042041323 is 323140240422.

224042041323 is a `hidden beast` number, since 2 + 240 + 4 + 2 + 0 + 413 + 2 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-224042041323 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224042041303) 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 23 ways as a sum of consecutive naturals, for example, 145053 + ... + 684926.

It is an arithmetic number, because the mean of its divisors is an integer number (13675995450).

Almost surely, 2224042041323 is an apocalyptic number.

224042041323 is a deficient number, since it is larger than the sum of its proper divisors (104181849477).

224042041323 is a wasteful number, since it uses less digits than its factorization.

224042041323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830411 (or 830408 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 224042041323 its reverse (323140240422), we get a palindrome (547182281745).

The spelling of 224042041323 in words is "two hundred twenty-four billion, forty-two million, forty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 89 267 337 801 1011 3033 29993 89979 269937 829979 2489937 7469811 73868131 221604393 279702923 664813179 839108769 2517326307 24893560147 74680680441 224042041323