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14004440401 = 759315672153
BaseRepresentation
bin11010000101011101…
…01100110101010001
31100010222211021122211
431002232230311101
5212140114043101
610233351432121
71004020531210
oct150256546521
940128737584
1014004440401
115a37161396
12286a085641
131422505033
1496bd11077
1556e70dc51
hex342bacd51

14004440401 has 16 divisors (see below), whose sum is σ = 16049746944. Its totient is φ = 11970353664.

The previous prime is 14004440389. The next prime is 14004440453. The reversal of 14004440401 is 10404440041.

It is a happy number.

14004440401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 14004440401 - 27 = 14004440273 is a prime.

It is a super-2 number, since 2×140044404012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14004441401) 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 15 ways as a sum of consecutive naturals, for example, 6503541 + ... + 6505693.

It is an arithmetic number, because the mean of its divisors is an integer number (1003109184).

Almost surely, 214004440401 is an apocalyptic number.

It is an amenable number.

14004440401 is a deficient number, since it is larger than the sum of its proper divisors (2045306543).

14004440401 is a wasteful number, since it uses less digits than its factorization.

14004440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320.

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

Adding to 14004440401 its reverse (10404440041), we get a palindrome (24408880442).

The spelling of 14004440401 in words is "fourteen billion, four million, four hundred forty thousand, four hundred one".

Divisors: 1 7 593 1567 2153 4151 10969 15071 929231 1276729 3373751 6504617 8937103 23616257 2000634343 14004440401