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33330442430142 = 23411213130796867
BaseRepresentation
bin1111001010000010110010…
…01011100110011010111110
311101000100200211200202010000
413211001121023212122332
513332041221230231032
6154515443250455130
710010021302065414
oct745013113463276
9141010624622100
1033330442430142
11a6903a7913400
1238a37b58944a6
13157a07ca0c110
148332b84bb2b4
153cc00459ae7c
hex1e50592e66be

33330442430142 has 120 divisors (see below), whose sum is σ = 88406387862408. Its totient is φ = 9323200608480.

The previous prime is 33330442430113. The next prime is 33330442430143. The reversal of 33330442430142 is 24103424403333.

33330442430142 is a `hidden beast` number, since 3 + 3 + 3 + 30 + 442 + 43 + 0 + 142 = 666.

It is a super-2 number, since 2×333304424301422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33330442430097 and 33330442430106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33330442430143) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 65143608 + ... + 65653259.

Almost surely, 233330442430142 is an apocalyptic number.

33330442430142 is an abundant number, since it is smaller than the sum of its proper divisors (55075945432266).

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

33330442430142 is a wasteful number, since it uses less digits than its factorization.

33330442430142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130796916 (or 130796896 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 33330442430142 its reverse (24103424403333), we get a palindrome (57433866833475).

The spelling of 33330442430142 in words is "thirty-three trillion, three hundred thirty billion, four hundred forty-two million, four hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 121 143 162 198 234 242 286 297 351 363 429 594 702 726 858 891 1053 1089 1287 1573 1782 2106 2178 2574 3146 3267 3861 4719 6534 7722 9438 9801 11583 14157 19602 23166 28314 42471 84942 127413 254826 130796867 261593734 392390601 784781202 1177171803 1438765537 1700359271 2354343606 2877531074 3400718542 3531515409 4316296611 5101077813 7063030818 8632593222 10202155626 10594546227 12948889833 15303233439 15826420907 18703951981 21189092454 25897779666 30606466878 31652841814 37407903962 38846669499 45909700317 47479262721 56111855943 77693338998 91819400634 94958525442 112223711886 116540008497 137729100951 142437788163 168335567829 205743471791 233080016994 275458201902 284875576326 336671135658 411486943582 427313364489 505006703487 617230415373 854626728978 1010013406974 1234460830746 1281940093467 1515020110461 1851691246119 2563880186934 3030040220922 3703382492238 5555073738357 11110147476714 16665221215071 33330442430142