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312144411321 = 3311560904123
BaseRepresentation
bin1001000101011010100…
…00011011101010111001
31002211200212210001012000
410202231100123222321
520103232432130241
6355221442011213
731360141501341
oct4425520335271
91084625701160
10312144411321
1111041a423276
12505b4646b09
1323586b86602
1411171dd1d21
1581bd957eb6
hex48ad41bab9

312144411321 has 8 divisors (see below), whose sum is σ = 462436164960. Its totient is φ = 208096274196.

The previous prime is 312144411307. The next prime is 312144411347. The reversal of 312144411321 is 123114441213.

It is a happy number.

312144411321 is a `hidden beast` number, since 3 + 1 + 214 + 4 + 411 + 32 + 1 = 666.

It is not a de Polignac number, because 312144411321 - 210 = 312144410297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 11560904123 = 312144411321 / (3 + 1 + 2 + 1 + 4 + 4 + 4 + 1 + 1 + 3 + 2 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312144411121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5780452035 + ... + 5780452088.

It is an arithmetic number, because the mean of its divisors is an integer number (57804520620).

Almost surely, 2312144411321 is an apocalyptic number.

It is an amenable number.

312144411321 is a deficient number, since it is larger than the sum of its proper divisors (150291753639).

312144411321 is a wasteful number, since it uses less digits than its factorization.

312144411321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11560904132 (or 11560904126 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 312144411321 its reverse (123114441213), we get a palindrome (435258852534).

The spelling of 312144411321 in words is "three hundred twelve billion, one hundred forty-four million, four hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 27 11560904123 34682712369 104048137107 312144411321