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404041144 = 23132298847
BaseRepresentation
bin11000000101010…
…010110110111000
31001011021102020211
4120011102312320
51311413304034
6104032000504
713004202343
oct3005226670
91034242224
10404041144
11198086101
12b3390134
1365927b00
143b93745a
1525710d64
hex18152db8

404041144 has 24 divisors (see below), whose sum is σ = 820337760. Its totient is φ = 186479904.

The previous prime is 404041123. The next prime is 404041153. The reversal of 404041144 is 441140404.

It is a happy number.

It is a super-3 number, since 3×4040411443 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 148072 + ... + 150775.

It is an arithmetic number, because the mean of its divisors is an integer number (34180740).

Almost surely, 2404041144 is an apocalyptic number.

It is an amenable number.

404041144 is an abundant number, since it is smaller than the sum of its proper divisors (416296616).

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

404041144 is a wasteful number, since it uses less digits than its factorization.

404041144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298879 (or 298862 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 404041144 is about 20100.7747114384. The cubic root of 404041144 is about 739.2792739251.

Adding to 404041144 its reverse (441140404), we get a palindrome (845181548).

The spelling of 404041144 in words is "four hundred four million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 298847 597694 1195388 2390776 3885011 7770022 15540044 31080088 50505143 101010286 202020572 404041144