Search a number
-
+
14112034415505 = 345132680348417
BaseRepresentation
bin1100110101011011011011…
…0011000110001110010001
31211222002121221102221120000
43031112312303012032101
53322202421302244010
650002551253240213
72654363240231415
oct315266663061621
954862557387500
1014112034415505
114550975589224
1216bb00b933069
137b49b3a87bc0
1436b051908d45
151971469057c0
hexcd5b6cc6391

14112034415505 has 40 divisors (see below), whose sum is σ = 27243061320552. Its totient is φ = 6947463094272.

The previous prime is 14112034415503. The next prime is 14112034415657. The reversal of 14112034415505 is 50551443021141.

14112034415505 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 203 + 441 + 5 + 5 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2264450126481 + 11847584289024 = 1504809^2 + 3442032^2 .

It is not a de Polignac number, because 14112034415505 - 21 = 14112034415503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14112034415505.

It is not an unprimeable number, because it can be changed into a prime (14112034415503) 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 39 ways as a sum of consecutive naturals, for example, 1340168944 + ... + 1340179473.

Almost surely, 214112034415505 is an apocalyptic number.

14112034415505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14112034415505 is a deficient number, since it is larger than the sum of its proper divisors (13131026905047).

14112034415505 is a wasteful number, since it uses less digits than its factorization.

14112034415505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680348447 (or 2680348438 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 14112034415505 its reverse (50551443021141), we get a palindrome (64663477436646).

The spelling of 14112034415505 in words is "fourteen trillion, one hundred twelve billion, thirty-four million, four hundred fifteen thousand, five hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 2680348417 8041045251 13401742085 24123135753 34844529421 40205226255 72369407259 104533588263 120615678765 174222647105 217108221777 313600764789 361847036295 522667941315 940802294367 1085541108885 1568003823945 2822406883101 4704011471835 14112034415505