Search a number
-
+
41304202400 = 255251630253
BaseRepresentation
bin100110011101111011…
…000001110010100000
310221121120010212212002
4212131323001302200
51134042333434100
630550324223132
72661361633106
oct463573016240
9127546125762
1041304202400
111657616666a
12800883aaa8
133b8332c266
141ddb8a3c76
15111b2572d5
hex99dec1ca0

41304202400 has 36 divisors (see below), whose sum is σ = 100833886062. Its totient is φ = 16521680640.

The previous prime is 41304202333. The next prime is 41304202409. The reversal of 41304202400 is 420240314.

It can be written as a sum of positive squares in 3 ways, for example, as 15792446224 + 25511756176 = 125668^2 + 159724^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (41304202409) 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 5 ways as a sum of consecutive naturals, for example, 25814327 + ... + 25815926.

Almost surely, 241304202400 is an apocalyptic number.

41304202400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41304202400 is an abundant number, since it is smaller than the sum of its proper divisors (59529683662).

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

41304202400 is a wasteful number, since it uses less digits than its factorization.

41304202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51630273 (or 51630260 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 41304202400 its reverse (420240314), we get a palindrome (41724442714).

The spelling of 41304202400 in words is "forty-one billion, three hundred four million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 51630253 103260506 206521012 258151265 413042024 516302530 826084048 1032605060 1290756325 1652168096 2065210120 2581512650 4130420240 5163025300 8260840480 10326050600 20652101200 41304202400