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414423144 = 233217338581
BaseRepresentation
bin11000101100111…
…001100001101000
31001212210212200100
4120230321201220
51322043020034
6105042305400
713161352512
oct3054714150
91055725610
10414423144
111a2a27273
12b6958260
1367b214c5
143d07abb2
15265b2099
hex18b39868

414423144 has 48 divisors (see below), whose sum is σ = 1188422820. Its totient is φ = 130014720.

The previous prime is 414423143. The next prime is 414423151. The reversal of 414423144 is 441324414.

It can be written as a sum of positive squares in 2 ways, for example, as 376748100 + 37675044 = 19410^2 + 6138^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (414423143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168067 + ... + 170514.

Almost surely, 2414423144 is an apocalyptic number.

It is an amenable number.

414423144 is an abundant number, since it is smaller than the sum of its proper divisors (773999676).

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

414423144 is a wasteful number, since it uses less digits than its factorization.

414423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338610 (or 338603 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 414423144 is about 20357.3854902834. The cubic root of 414423144 is about 745.5578267405.

Adding to 414423144 its reverse (441324414), we get a palindrome (855747558).

The spelling of 414423144 in words is "four hundred fourteen million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 338581 677162 1015743 1354324 2031486 2708648 3047229 4062972 5755877 6094458 8125944 11511754 12188916 17267631 23023508 24377832 34535262 46047016 51802893 69070524 103605786 138141048 207211572 414423144