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323142114033 = 321727722213433
BaseRepresentation
bin1001011001111001100…
…01010101101011110001
31010220002022220020010200
410230330301111223301
520243243340122113
6404241024545413
732226522435504
oct4547461255361
91126068806120
10323142114033
11115053332082
1252763782269
132461a4883cb
14118d686513b
1586141e1873
hex4b3cc55af1

323142114033 has 48 divisors (see below), whose sum is σ = 496369398096. Its totient is φ = 201874083840.

The previous prime is 323142114023. The next prime is 323142114037. The reversal of 323142114033 is 330411241323.

It is a happy number.

323142114033 is a `hidden beast` number, since 3 + 231 + 4 + 21 + 1 + 403 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 219276864 + 322922837169 = 14808^2 + 568263^2 .

It is not a de Polignac number, because 323142114033 - 210 = 323142113009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 323142113988 and 323142114006.

It is not an unprimeable number, because it can be changed into a prime (323142114037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94126485 + ... + 94129917.

It is an arithmetic number, because the mean of its divisors is an integer number (10341029127).

Almost surely, 2323142114033 is an apocalyptic number.

It is an amenable number.

323142114033 is a deficient number, since it is larger than the sum of its proper divisors (173227284063).

323142114033 is a wasteful number, since it uses less digits than its factorization.

323142114033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 323142114033 its reverse (330411241323), we get a palindrome (653553355356).

The spelling of 323142114033 in words is "three hundred twenty-three billion, one hundred forty-two million, one hundred fourteen thousand, thirty-three".

Divisors: 1 3 9 17 51 153 277 831 2221 2493 3433 4709 6663 10299 14127 19989 30897 37757 42381 58361 113271 175083 339813 525249 615217 950941 1845651 2852823 5536953 7624693 8558469 10458689 16165997 22874079 31376067 48497991 68622237 94128201 129619781 145493973 388859343 1166578029 2112039961 6336119883 19008359649 35904679337 107714038011 323142114033