Search a number
-
+
450322200435042 = 232131924453848013
BaseRepresentation
bin110011001100100001100111…
…0110010101001100101100010
32012001110101022102101100200200
41212121003032302221211202
5433011034331302410132
64233431055105530030
7163565463633023415
oct14631031662514542
92161411272340620
10450322200435042
111205396332a7461
124260b561943916
13164372802cb910
147d2b9d45cbb7c
15370dda946dd7c
hex19990ceca9962

450322200435042 has 24 divisors (see below), whose sum is σ = 1050751801015644. Its totient is φ = 138560677056864.

The previous prime is 450322200435011. The next prime is 450322200435047. The reversal of 450322200435042 is 240534002223054.

450322200435042 is a `hidden beast` number, since 4 + 5 + 0 + 322 + 200 + 43 + 50 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 441517633807041 + 8804566628001 = 21012321^2 + 2967249^2 .

It is a junction number, because it is equal to n+sod(n) for n = 450322200434988 and 450322200435006.

It is not an unprimeable number, because it can be changed into a prime (450322200435047) 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, 962226923773 + ... + 962226924240.

Almost surely, 2450322200435042 is an apocalyptic number.

450322200435042 is an abundant number, since it is smaller than the sum of its proper divisors (600429600580602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450322200435042 is a wasteful number, since it uses less digits than its factorization.

450322200435042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924453848034 (or 1924453848031 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 450322200435042 its reverse (240534002223054), we get a palindrome (690856202658096).

The spelling of 450322200435042 in words is "four hundred fifty trillion, three hundred twenty-two billion, two hundred million, four hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1924453848013 3848907696026 5773361544039 11546723088078 17320084632117 25017900024169 34640169264234 50035800048338 75053700072507 150107400145014 225161100217521 450322200435042