Search a number
-
+
114114102414 = 23138916438217
BaseRepresentation
bin110101001000110111…
…0110000010010001110
3101220112210211000220120
41222101232300102032
53332201202234124
6124231233125410
711146565603064
oct1522156602216
9356483730816
10114114102414
1144439488154
121a1486b9866
13a9b795c030
14574775a034
152e7d3aad79
hex1a91bb048e

114114102414 has 32 divisors (see below), whose sum is σ = 248545856160. Its totient is φ = 34717512192.

The previous prime is 114114102407. The next prime is 114114102457. The reversal of 114114102414 is 414201411411.

114114102414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8212167 + ... + 8226050.

It is an arithmetic number, because the mean of its divisors is an integer number (7767058005).

Almost surely, 2114114102414 is an apocalyptic number.

114114102414 is an abundant number, since it is smaller than the sum of its proper divisors (134431753746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114114102414 is a wasteful number, since it uses less digits than its factorization.

114114102414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16438324.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 114114102414 its reverse (414201411411), we get a palindrome (528315513825).

The spelling of 114114102414 in words is "one hundred fourteen billion, one hundred fourteen million, one hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 89 178 267 534 1157 2314 3471 6942 16438217 32876434 49314651 98629302 213696821 427393642 641090463 1282180926 1463001313 2926002626 4389003939 8778007878 19019017069 38038034138 57057051207 114114102414