Search a number
-
+
12141320334 = 23111337937337
BaseRepresentation
bin10110100111010110…
…11101100010001110
31011100011000222101220
423103223131202032
5144331134222314
65324434344210
7606605343243
oct132353354216
934304028356
1012141320334
115170505740
12242a12b066
1311b6514b20
148326c75ca
154b0d883a9
hex2d3add88e

12141320334 has 64 divisors (see below), whose sum is σ = 28603895040. Its totient is φ = 3387121920.

The previous prime is 12141320309. The next prime is 12141320353. The reversal of 12141320334 is 43302314121.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 306514 + ... + 343850.

It is an arithmetic number, because the mean of its divisors is an integer number (446935860).

Almost surely, 212141320334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141320334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301947520).

12141320334 is an abundant number, since it is smaller than the sum of its proper divisors (16462574706).

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

12141320334 is a wasteful number, since it uses less digits than its factorization.

12141320334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37745.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12141320334 its reverse (43302314121), we get a palindrome (55443634455).

The spelling of 12141320334 in words is "twelve billion, one hundred forty-one million, three hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 379 429 758 858 1137 2274 4169 4927 8338 9854 12507 14781 25014 29562 37337 54197 74674 108394 112011 162591 224022 325182 410707 485381 821414 970762 1232121 1456143 2464242 2912286 5339191 10678382 14150723 16017573 28301446 32035146 42452169 84904338 155657953 183959399 311315906 367918798 466973859 551878197 933947718 1103756394 2023553389 4047106778 6070660167 12141320334