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14122222222141 = 1116749871541539
BaseRepresentation
bin1100110110000001011000…
…0010011111101100111101
31212000001220221121010221201
43031200112002133230331
53322334302342102031
650011354225255501
72655203555164525
oct315402602375475
955001827533851
1014122222222141
114555223308130
121700b93794591
137b5948650657
1436b73a998685
1519754100ed61
hexcd81609fb3d

14122222222141 has 16 divisors (see below), whose sum is σ = 15501430264320. Its totient is φ = 12758940056880.

The previous prime is 14122222222103. The next prime is 14122222222151.

It is a happy number.

14122222222141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14122222222141 - 27 = 14122222222013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14122222222151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8390350 + ... + 9931888.

It is an arithmetic number, because the mean of its divisors is an integer number (968839391520).

Almost surely, 214122222222141 is an apocalyptic number.

14122222222141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14122222222141 is a deficient number, since it is larger than the sum of its proper divisors (1379208042179).

14122222222141 is a wasteful number, since it uses less digits than its factorization.

14122222222141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546704.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 1412222 and 2222141, that added together give a palindrome (3634363).

The spelling of 14122222222141 in words is "fourteen trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 11 167 1837 4987 54857 832829 1541539 9161119 16956929 257437013 2831807143 7687654993 84564204923 1283838383831 14122222222141