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12144434211 = 3271317872257
BaseRepresentation
bin10110100111101110…
…10101110000100011
31011100100220011211200
423103313111300203
5144332433343321
65325025212243
7606643662510
oct132367256043
934310804750
1012144434211
115172242198
12242b191083
1311b7065260
14832c98307
154b12a0d26
hex2d3dd5c23

12144434211 has 48 divisors (see below), whose sum is σ = 22860137664. Its totient is φ = 6029033472.

The previous prime is 12144434207. The next prime is 12144434219. The reversal of 12144434211 is 11243444121.

12144434211 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 443 + 4 + 211 = 666.

It is not a de Polignac number, because 12144434211 - 22 = 12144434207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12144434219) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 422206 + ... + 450051.

It is an arithmetic number, because the mean of its divisors is an integer number (476252868).

Almost surely, 212144434211 is an apocalyptic number.

12144434211 is a deficient number, since it is larger than the sum of its proper divisors (10715703453).

12144434211 is a wasteful number, since it uses less digits than its factorization.

12144434211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872300 (or 872297 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 12144434211 its reverse (11243444121), we get a palindrome (23387878332).

The spelling of 12144434211 in words is "twelve billion, one hundred forty-four million, four hundred thirty-four thousand, two hundred eleven".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1547 1989 4641 13923 872257 2616771 6105799 7850313 11339341 14828369 18317397 34018023 44485107 54952191 79375387 102054069 103798583 133455321 192768797 238126161 311395749 578306391 714378483 934187247 1349381579 1734919173 4048144737 12144434211