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441413401 = 1113231031303
BaseRepresentation
bin11010010011110…
…110111100011001
31010202121010100111
4122103312330121
51401000212101
6111445004321
713636644352
oct3223667431
91122533314
10441413401
11207191470
121039b36a1
13705b1580
14428a4d29
1528b44251
hex1a4f6f19

441413401 has 32 divisors (see below), whose sum is σ = 546803712. Its totient is φ = 350602560.

The previous prime is 441413393. The next prime is 441413411. The reversal of 441413401 is 104314144.

It is not a de Polignac number, because 441413401 - 23 = 441413393 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (441413411) 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 31 ways as a sum of consecutive naturals, for example, 338116 + ... + 339418.

It is an arithmetic number, because the mean of its divisors is an integer number (17087616).

Almost surely, 2441413401 is an apocalyptic number.

It is an amenable number.

441413401 is a deficient number, since it is larger than the sum of its proper divisors (105390311).

441413401 is a wasteful number, since it uses less digits than its factorization.

441413401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 441413401 is about 21009.8405753114. The cubic root of 441413401 is about 761.4040302781.

Adding to 441413401 its reverse (104314144), we get a palindrome (545727545).

The spelling of 441413401 in words is "four hundred forty-one million, four hundred thirteen thousand, four hundred one".

Divisors: 1 11 13 23 103 143 253 299 1133 1303 1339 2369 3289 14333 14729 16939 26059 29969 30797 134209 186329 329659 338767 389597 1476299 1744717 3086807 4285567 19191887 33954877 40128491 441413401