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12014324334 = 23229472511951
BaseRepresentation
bin10110011000001110…
…00000101001101110
31011000022001220122100
423030013000221232
5144101131334314
65304100355530
7603504033435
oct131407005156
934008056570
1012014324334
115105855771
1223b36a5ba6
13119610b76c
1481d8aa11c
154a4b4ec09
hex2cc1c0a6e

12014324334 has 96 divisors (see below), whose sum is σ = 27625328640. Its totient is φ = 3767400000.

The previous prime is 12014324323. The next prime is 12014324339. The reversal of 12014324334 is 43342341021.

12014324334 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 324 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12014324298 and 12014324307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014324339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6157059 + ... + 6159009.

It is an arithmetic number, because the mean of its divisors is an integer number (287763840).

Almost surely, 212014324334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12014324334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812664320).

12014324334 is an abundant number, since it is smaller than the sum of its proper divisors (15611004306).

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

12014324334 is a wasteful number, since it uses less digits than its factorization.

12014324334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12014324334 its reverse (43342341021), we get a palindrome (55356665355).

The spelling of 12014324334 in words is "twelve billion, fourteen million, three hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 141 174 251 261 282 423 502 522 753 846 1363 1506 1951 2259 2726 3902 4089 4518 5853 7279 8178 11706 11797 12267 14558 17559 21837 23594 24534 35118 35391 43674 56579 65511 70782 91697 106173 113158 131022 169737 183394 212346 275091 339474 342113 489701 509211 550182 684226 825273 979402 1018422 1026339 1469103 1650546 2052678 2659213 2938206 3079017 4407309 5318426 6158034 7977639 8814618 14201329 15955278 23015947 23932917 28402658 42603987 46031894 47865834 69047841 85207974 127811961 138095682 207143523 255623922 414287046 667462463 1334924926 2002387389 4004774778 6007162167 12014324334