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12144113200134 = 2323114721660929
BaseRepresentation
bin1011000010111000010110…
…0011011010110000000110
31120222222002010111012101100
42300232011203122300012
53042432120434401014
641454532324040530
72362245306005646
oct260560543326006
946888063435340
1012144113200134
11396232033a0a3
12144173ab33146
136a12534890c6
142ddac75ca526
15160d69cc8009
hexb0b858dac06

12144113200134 has 24 divisors (see below), whose sum is σ = 26313091257960. Its totient is φ = 4047907580928.

The previous prime is 12144113200091. The next prime is 12144113200157. The reversal of 12144113200134 is 43100231144121.

It is a happy number.

12144113200134 is a `hidden beast` number, since 1 + 2 + 1 + 441 + 1 + 3 + 200 + 13 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12144113200098 and 12144113200107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10269819 + ... + 11391110.

It is an arithmetic number, because the mean of its divisors is an integer number (1096378802415).

Almost surely, 212144113200134 is an apocalyptic number.

12144113200134 is an abundant number, since it is smaller than the sum of its proper divisors (14168978057826).

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

12144113200134 is a wasteful number, since it uses less digits than its factorization.

12144113200134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21692084 (or 21692081 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12144113200134 its reverse (43100231144121), we get a palindrome (55244344344255).

The spelling of 12144113200134 in words is "twelve trillion, one hundred forty-four billion, one hundred thirteen million, two hundred thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 31147 62294 93441 186882 280323 560646 21660929 43321858 64982787 129965574 194948361 389896722 674672955563 1349345911126 2024018866689 4048037733378 6072056600067 12144113200134