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14214502401 = 3112029212293
BaseRepresentation
bin11010011110100000…
…00001100000000001
31100200122002112112220
431033100001200001
5213102403034101
610310254041253
71012151163651
oct151720014001
940618075486
1014214502401
116034797050
1229084a9229
131456ba3188
1498bb92361
15582da4636
hex34f401801

14214502401 has 16 divisors (see below), whose sum is σ = 20685927360. Its totient is φ = 8610563520.

The previous prime is 14214502397. The next prime is 14214502439. The reversal of 14214502401 is 10420541241.

It is not a de Polignac number, because 14214502401 - 22 = 14214502397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14214502201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39190 + ... + 173103.

It is an arithmetic number, because the mean of its divisors is an integer number (1292870460).

Almost surely, 214214502401 is an apocalyptic number.

14214502401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14214502401 is a deficient number, since it is larger than the sum of its proper divisors (6471424959).

14214502401 is a wasteful number, since it uses less digits than its factorization.

14214502401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214336.

The product of its (nonzero) digits is 1280, while the sum is 24.

It can be divided in two parts, 14214 and 502401, that added together give a palindrome (516615).

The spelling of 14214502401 in words is "fourteen billion, two hundred fourteen million, five hundred two thousand, four hundred one".

Divisors: 1 3 11 33 2029 6087 22319 66957 212293 636879 2335223 7005669 430742497 1292227491 4738167467 14214502401