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14412001201 = 1319212012557
BaseRepresentation
bin11010110110000010…
…11010111110110001
31101012101201111222021
431123001122332301
5214003433014301
610342031111441
71020066663133
oct153301327661
941171644867
1014412001201
1161262208a4
122962672581
131488a92b80
149aa0c3053
155953b78a1
hex35b05afb1

14412001201 has 24 divisors (see below), whose sum is σ = 16400535144. Its totient is φ = 12587788800.

The previous prime is 14412001189. The next prime is 14412001249. The reversal of 14412001201 is 10210021441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 629006400 + 13782994801 = 25080^2 + 117401^2 .

It is not a de Polignac number, because 14412001201 - 213 = 14411993009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14412001271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5635015 + ... + 5637571.

It is an arithmetic number, because the mean of its divisors is an integer number (683355631).

Almost surely, 214412001201 is an apocalyptic number.

It is an amenable number.

14412001201 is a deficient number, since it is larger than the sum of its proper divisors (1988533943).

14412001201 is a wasteful number, since it uses less digits than its factorization.

14412001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14412001201 its reverse (10210021441), we get a palindrome (24622022642).

It can be divided in two parts, 1441200 and 1201, that added together give a square (1442401 = 12012).

The spelling of 14412001201 in words is "fourteen billion, four hundred twelve million, one thousand, two hundred one".

Divisors: 1 13 19 247 361 1201 2557 4693 15613 22819 33241 48583 296647 433561 631579 923077 3070957 5636293 12000001 39922441 58348183 758526379 1108615477 14412001201