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14004224311 = 71132336451
BaseRepresentation
bin11010000101011011…
…11000000100110111
31100010222102022020111
431002231320010313
5212140040134221
610233343043451
71004015641210
oct150255700467
940128368214
1014004224311
115a37024000
122869ba0587
13142245a87c
1496bc96407
1556e6b9be1
hex342b78137

14004224311 has 32 divisors (see below), whose sum is σ = 17682402816. Its totient is φ = 10863864000.

The previous prime is 14004224309. The next prime is 14004224321. The reversal of 14004224311 is 11342240041.

It is a happy number.

14004224311 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 14004224311 - 21 = 14004224309 is a prime.

It is a super-2 number, since 2×140042243112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004224321) 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, 2167636 + ... + 2174086.

It is an arithmetic number, because the mean of its divisors is an integer number (552575088).

Almost surely, 214004224311 is an apocalyptic number.

14004224311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14004224311 is a deficient number, since it is larger than the sum of its proper divisors (3678178505).

14004224311 is an equidigital number, since it uses as much as digits as its factorization.

14004224311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6702 counting only the distinct ones).

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

Adding to 14004224311 its reverse (11342240041), we get a palindrome (25346464352).

The spelling of 14004224311 in words is "fourteen billion, four million, two hundred twenty-four thousand, three hundred eleven".

Divisors: 1 7 11 77 121 233 847 1331 1631 2563 6451 9317 17941 28193 45157 70961 197351 310123 496727 780571 1503083 2170861 5463997 8586281 10521581 16533913 60103967 115737391 181873043 1273111301 2000603473 14004224311