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12414445433442 = 232131921271157179
BaseRepresentation
bin1011010010100111011010…
…0111000011001001100010
31121221210212001021112011200
42310221312213003021202
53111344241012332232
642223041214022030
72420625350041563
oct264516647031142
947853761245150
1012414445433442
113a56a33892148
1214860047a7916
136c08a59c8080
1430cc1048816a
15167ddcad777c
hexb4a769c3262

12414445433442 has 144 divisors (see below), whose sum is σ = 30812611415040. Its totient is φ = 3590288235072.

The previous prime is 12414445433329. The next prime is 12414445433473. The reversal of 12414445433442 is 24433454441421.

12414445433442 is a `hidden beast` number, since 1 + 24 + 1 + 4 + 44 + 543 + 3 + 4 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10149609 + ... + 11306787.

It is an arithmetic number, because the mean of its divisors is an integer number (213976468160).

Almost surely, 212414445433442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12414445433442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15406305707520).

12414445433442 is an abundant number, since it is smaller than the sum of its proper divisors (18398165981598).

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

12414445433442 is a wasteful number, since it uses less digits than its factorization.

12414445433442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157365 (or 1157343 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 45.

Adding to 12414445433442 its reverse (24433454441421), we get a palindrome (36847899874863).

The spelling of 12414445433442 in words is "twelve trillion, four hundred fourteen billion, four hundred forty-five million, four hundred thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 127 171 234 247 254 342 361 381 494 722 741 762 1083 1143 1482 1651 2166 2223 2286 2413 3249 3302 4446 4693 4826 4953 6498 7239 9386 9906 14079 14478 14859 21717 28158 29718 31369 42237 43434 45847 62738 84474 91694 94107 137541 188214 275082 282321 412623 564642 596011 825246 1157179 1192022 1788033 2314358 3471537 3576066 5364099 6943074 10414611 10728198 15043327 20829222 21986401 30086654 43972802 45129981 65959203 90259962 131918406 135389943 146961733 197877609 270779886 285823213 293923466 395755218 417741619 440885199 571646426 835483238 857469639 881770398 1253224857 1322655597 1714939278 1910502529 2506449714 2572408917 2645311194 2792272927 3759674571 3821005058 5144817834 5430641047 5584545854 5731507587 7519349142 8376818781 10861282094 11463015174 16291923141 16753637562 17194522761 25130456343 32583846282 34389045522 36299548051 48875769423 50260912686 53053185613 72599096102 97751538846 106106371226 108898644153 159159556839 217797288306 318319113678 326695932459 477478670517 653391864918 689691412969 954957341034 1379382825938 2069074238907 4138148477814 6207222716721 12414445433442