Search a number
-
+
42416361424 = 248689305101
BaseRepresentation
bin100111100000001101…
…100100111111010000
311001111001212102020001
4213200031210333100
51143332042031144
631252533455344
73031055060203
oct474015447720
9131431772201
1042416361424
1116a96a26158
1282791a1554
133ccc879418
1420a548993a
151183be0bd4
hex9e0364fd0

42416361424 has 20 divisors (see below), whose sum is σ = 82191427780. Its totient is φ = 21205670400.

The previous prime is 42416361419. The next prime is 42416361443.

42416361424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 39736435600 + 2679925824 = 199340^2 + 51768^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 13527 + ... + 291574.

It is an arithmetic number, because the mean of its divisors is an integer number (4109571389).

Almost surely, 242416361424 is an apocalyptic number.

It is an amenable number.

42416361424 is a deficient number, since it is larger than the sum of its proper divisors (39775066356).

42416361424 is a wasteful number, since it uses less digits than its factorization.

42416361424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313798 (or 313792 counting only the distinct ones).

The product of its digits is 110592, while the sum is 37.

The spelling of 42416361424 in words is "forty-two billion, four hundred sixteen million, three hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 8689 17378 34756 69512 139024 305101 610202 1220404 2440808 4881616 2651022589 5302045178 10604090356 21208180712 42416361424