Search a number
-
+
12014134341 = 3112321275419
BaseRepresentation
bin10110011000001100…
…10010010001000101
31011000021201021000120
423030012102101011
5144101104244331
65304052332153
7603502312506
oct131406222105
934007637016
1012014134341
115105735a50
1223b3614059
131196073141
1481d85abad
154a4b13796
hex2cc192445

12014134341 has 48 divisors (see below), whose sum is σ = 18415165440. Its totient is φ = 6908600160.

The previous prime is 12014134333. The next prime is 12014134399. The reversal of 12014134341 is 14343141021.

It is not a de Polignac number, because 12014134341 - 23 = 12014134333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014134331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2214330 + ... + 2219748.

It is an arithmetic number, because the mean of its divisors is an integer number (383649280).

Almost surely, 212014134341 is an apocalyptic number.

12014134341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12014134341 is a deficient number, since it is larger than the sum of its proper divisors (6401031099).

12014134341 is a wasteful number, since it uses less digits than its factorization.

12014134341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12014134341 its reverse (14343141021), we get a palindrome (26357275362).

The spelling of 12014134341 in words is "twelve billion, fourteen million, one hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 3 11 23 33 69 127 253 381 529 759 1397 1587 2921 4191 5419 5819 8763 16257 17457 32131 59609 67183 96393 124637 178827 201549 373911 688213 739013 1371007 2064639 2217039 2866651 4113021 7570343 8599953 15828899 22711029 31533161 47486697 94599483 174117889 364064677 522353667 1092194031 4004711447 12014134341