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312040424223 = 33113743365579
BaseRepresentation
bin1001000101001110000…
…11110000001100011111
31002211102122002221201000
410202213003300030133
520103024322033343
6355203245121343
731354436562063
oct4424703601437
91084378087630
10312040424223
11110376759220
1250585859253
132356b478098
1411162283aa3
1581b4766ed3
hex48a70f031f

312040424223 has 64 divisors (see below), whose sum is σ = 519141772800. Its totient is φ = 183576430080.

The previous prime is 312040424203. The next prime is 312040424233. The reversal of 312040424223 is 322424040213.

312040424223 is a `hidden beast` number, since 3 + 12 + 0 + 4 + 0 + 424 + 223 = 666.

It is not a de Polignac number, because 312040424223 - 26 = 312040424159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312040424203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4725448 + ... + 4791026.

It is an arithmetic number, because the mean of its divisors is an integer number (8111590200).

Almost surely, 2312040424223 is an apocalyptic number.

312040424223 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

312040424223 is a deficient number, since it is larger than the sum of its proper divisors (207101348577).

312040424223 is a wasteful number, since it uses less digits than its factorization.

312040424223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66069 (or 66063 counting only the distinct ones).

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

Adding to 312040424223 its reverse (322424040213), we get a palindrome (634464464436).

The spelling of 312040424223 in words is "three hundred twelve billion, forty million, four hundred twenty-four thousand, two hundred twenty-three".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 433 999 1221 1299 3663 3897 4763 10989 11691 14289 16021 42867 48063 65579 128601 144189 176231 196737 432567 528693 590211 721369 1586079 1770633 2164107 2426423 4758237 6492321 7279269 19476963 21837807 26690653 28395707 65513421 80071959 85187121 240215877 255561363 312352777 720647631 766684089 937058331 1050641159 2811174993 3151923477 8433524979 9455770431 11557052749 28367311293 34671158247 104013474741 312040424223