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16442330031 = 325471333929
BaseRepresentation
bin11110101000000101…
…00000101110101111
31120102220010220112100
433110002200232233
5232133214030111
611315320110143
71121312333151
oct172402405657
946386126470
1016442330031
116a782a2a06
12322a605353
1317205c8a8a
14b1d9d4ad1
1566376b756
hex3d40a0baf

16442330031 has 12 divisors (see below), whose sum is σ = 23754444480. Its totient is φ = 10959516960.

The previous prime is 16442329997. The next prime is 16442330059. The reversal of 16442330031 is 13003324461.

16442330031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16442330031 - 217 = 16442198959 is a prime.

It is a super-3 number, since 3×164423300313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 16442329977 and 16442330004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442330131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117726 + ... + 216203.

It is an arithmetic number, because the mean of its divisors is an integer number (1979537040).

Almost surely, 216442330031 is an apocalyptic number.

16442330031 is a deficient number, since it is larger than the sum of its proper divisors (7312114449).

16442330031 is a wasteful number, since it uses less digits than its factorization.

16442330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339406 (or 339403 counting only the distinct ones).

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

Adding to 16442330031 its reverse (13003324461), we get a palindrome (29445654492).

The spelling of 16442330031 in words is "sixteen billion, four hundred forty-two million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 9 5471 16413 49239 333929 1001787 3005361 1826925559 5480776677 16442330031