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14146355364141 = 3711137336426659
BaseRepresentation
bin1100110111011011010001…
…1111001000000100101101
31212002101012211100210010210
43031312310133020010231
53323233213433123031
650030425042253033
72660016605413230
oct315666437100455
955071184323123
1014146355364141
114564487898990
1217057a9957179
137b7cc33c5630
1436c989b71417
15197ea4a50746
hexcddb47c812d

14146355364141 has 64 divisors (see below), whose sum is σ = 25359497533440. Its totient is φ = 6774211664640.

The previous prime is 14146355364103. The next prime is 14146355364149.

It is a happy number.

14146355364141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14146355364141 - 223 = 14146346975533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14146355364149) 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 63 ways as a sum of consecutive naturals, for example, 1012131 + ... + 5414528.

It is an arithmetic number, because the mean of its divisors is an integer number (396242148960).

Almost surely, 214146355364141 is an apocalyptic number.

14146355364141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14146355364141 is a deficient number, since it is larger than the sum of its proper divisors (11213142169299).

14146355364141 is a wasteful number, since it uses less digits than its factorization.

14146355364141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427426.

The product of its digits is 2073600, while the sum is 48.

It can be divided in two parts, 1414635 and 5364141, that added together give a palindrome (6778776).

The spelling of 14146355364141 in words is "fourteen trillion, one hundred forty-six billion, three hundred fifty-five million, three hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 733 1001 2199 3003 5131 8063 9529 15393 24189 28587 56441 66703 104819 169323 200109 314457 733733 2201199 6426659 19279977 44986613 70693249 83546567 134959839 212079747 250639701 494852743 584825969 919012237 1484558229 1754477907 2757036711 4710741047 6433085659 14132223141 19299256977 32975187329 51818151517 61239633611 98925561987 155454454551 183718900833 362727060619 428677435277 673635969721 1088181181857 1286032305831 2020907909163 4715451788047 14146355364141