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14142434201415 = 3251324175101199
BaseRepresentation
bin1100110111001100101011…
…0001000100111101000111
31212002000002120000002002200
43031303022301010331013
53323202201123421130
650024540010205543
72656520463161022
oct315631261047507
955060076002080
1014142434201415
114562855461333
121704a947238b3
137b7819c17cc0
1436c6d70a01b9
15197d2569e760
hexcdccac44f47

14142434201415 has 24 divisors (see below), whose sum is σ = 26399210510400. Its totient is φ = 6962429145024.

The previous prime is 14142434201411. The next prime is 14142434201419. The reversal of 14142434201415 is 51410243424141.

14142434201415 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 2 + 4 + 34 + 201 + 415 = 666.

It is an interprime number because it is at equal distance from previous prime (14142434201411) and next prime (14142434201419).

It is not a de Polignac number, because 14142434201415 - 22 = 14142434201411 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14142434201415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142434201411) 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 23 ways as a sum of consecutive naturals, for example, 12087550015 + ... + 12087551184.

It is an arithmetic number, because the mean of its divisors is an integer number (1099967104600).

Almost surely, 214142434201415 is an apocalyptic number.

14142434201415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14142434201415 is a deficient number, since it is larger than the sum of its proper divisors (12256776308985).

14142434201415 is a wasteful number, since it uses less digits than its factorization.

14142434201415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24175101223 (or 24175101220 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 14142434201415 its reverse (51410243424141), we get a palindrome (65552677625556).

The spelling of 14142434201415 in words is "fourteen trillion, one hundred forty-two billion, four hundred thirty-four million, two hundred one thousand, four hundred fifteen".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 24175101199 72525303597 120875505995 217575910791 314276315587 362626517985 942828946761 1087879553955 1571381577935 2828486840283 4714144733805 14142434201415