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14146222264141 = 1129127607575251
BaseRepresentation
bin1100110111011010110010…
…0011011000111101001101
31212002100212112220121021011
43031312230203120331031
53323232430344423031
650030403525405221
72660013401161462
oct315665443307515
955070775817234
1014146222264141
114564419749990
121705771269811
137b7ca1962b36
1436c976205669
15197e9800d6b1
hexcddac8d8f4d

14146222264141 has 32 divisors (see below), whose sum is σ = 16116628193280. Its totient is φ = 12298660920000.

The previous prime is 14146222264121. The next prime is 14146222264147.

14146222264141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14146222264141 - 211 = 14146222262093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14146222264094 and 14146222264103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14146222264147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24303766 + ... + 24879016.

It is an arithmetic number, because the mean of its divisors is an integer number (503644631040).

Almost surely, 214146222264141 is an apocalyptic number.

14146222264141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14146222264141 is a deficient number, since it is larger than the sum of its proper divisors (1970405929139).

14146222264141 is a wasteful number, since it uses less digits than its factorization.

14146222264141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576025.

The product of its digits is 147456, while the sum is 40.

It can be divided in two parts, 1414622 and 2264141, that added together give a palindrome (3678763).

The spelling of 14146222264141 in words is "fourteen trillion, one hundred forty-six billion, two hundred twenty-two million, two hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 11 29 127 319 607 1397 3683 6677 17603 40513 77089 193633 575251 847979 2235581 6327761 16682279 24591391 73056877 183505069 349177357 803625647 2118649433 3840950927 10126143353 23305143763 44345524339 111387576883 487800767729 1286020205831 14146222264141