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30124400140431 = 3232905910171901
BaseRepresentation
bin1101101100101111000100…
…01010110110000010001111
310221122212100020111122220200
412312113202022312002033
512422024232413443211
6144022543001544543
76226262501213322
oct666274212660217
9127585306448820
1030124400140431
1196647605a0873
1234663887a5153
1313a69461084bc
14762058c467b9
153739111e4b56
hex1b65e22b608f

30124400140431 has 12 divisors (see below), whose sum is σ = 43513158937560. Its totient is φ = 20082870421200.

The previous prime is 30124400140397. The next prime is 30124400140451. The reversal of 30124400140431 is 13404100442103.

30124400140431 is a `hidden beast` number, since 30 + 1 + 24 + 40 + 0 + 140 + 431 = 666.

It is not a de Polignac number, because 30124400140431 - 29 = 30124400139919 is a prime.

It is a super-2 number, since 2×301244001404312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30124400140395 and 30124400140404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30124400140451) 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, 2124420 + ... + 8047481.

It is an arithmetic number, because the mean of its divisors is an integer number (3626096578130).

Almost surely, 230124400140431 is an apocalyptic number.

30124400140431 is a deficient number, since it is larger than the sum of its proper divisors (13388758797129).

30124400140431 is a wasteful number, since it uses less digits than its factorization.

30124400140431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10500966 (or 10500963 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 30124400140431 its reverse (13404100442103), we get a palindrome (43528500582534).

The spelling of 30124400140431 in words is "thirty trillion, one hundred twenty-four billion, four hundred million, one hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 9 329059 987177 2961531 10171901 30515703 91547109 3347155571159 10041466713477 30124400140431