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14444364001 = 41216635167
BaseRepresentation
bin11010111001111001…
…11000000011100001
31101021122121201101111
431130330320003201
5214040224122001
610345144503321
71020642032254
oct153474700341
941248551344
1014444364001
116142515511
12297147ab41
1314926b4462
149b050909b
1559815b851
hex35cf380e1

14444364001 has 12 divisors (see below), whose sum is σ = 14817028096. Its totient is φ = 14080862880.

The previous prime is 14444363987. The next prime is 14444364019. The reversal of 14444364001 is 10046344441.

14444364001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14444364001 - 27 = 14444363873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14444364031) 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 11 ways as a sum of consecutive naturals, for example, 2792920 + ... + 2798086.

Almost surely, 214444364001 is an apocalyptic number.

It is an amenable number.

14444364001 is a deficient number, since it is larger than the sum of its proper divisors (372664095).

14444364001 is an equidigital number, since it uses as much as digits as its factorization.

14444364001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912 (or 6871 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 14444364001 in words is "fourteen billion, four hundred forty-four million, three hundred sixty-four thousand, one".

Divisors: 1 41 1663 1681 5167 68183 211847 2795503 8592721 8685727 352301561 14444364001