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12034242033114 = 2372239479357551
BaseRepresentation
bin1010111100011111000010…
…1110001011010111011010
31120121110111000111121122010
42233013300232023113122
53034132111430024424
641332242055410350
72351305510335600
oct257076056132732
946543430447563
1012034242033114
11391a769994124
1214243973839b6
13693a93889742
142d8663581870
1515d08917d229
hexaf1f0b8b5da

12034242033114 has 96 divisors (see below), whose sum is σ = 28173953433600. Its totient is φ = 3416810728800.

The previous prime is 12034242033113. The next prime is 12034242033199. The reversal of 12034242033114 is 41133024243021.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12034242033113) 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, 33478639 + ... + 33836189.

It is an arithmetic number, because the mean of its divisors is an integer number (293478681600).

Almost surely, 212034242033114 is an apocalyptic number.

12034242033114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12034242033114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086976716800).

12034242033114 is an abundant number, since it is smaller than the sum of its proper divisors (16139711400486).

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

12034242033114 is a wasteful number, since it uses less digits than its factorization.

12034242033114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358288 (or 358281 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12034242033114 its reverse (41133024243021), we get a palindrome (53167266276135).

The spelling of 12034242033114 in words is "twelve trillion, thirty-four billion, two hundred forty-two million, thirty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 239 294 478 479 717 958 1434 1437 1673 2874 3346 3353 5019 6706 10038 10059 11711 20118 23422 23471 35133 46942 70266 70413 114481 140826 228962 343443 357551 686886 715102 801367 1072653 1602734 2145306 2404101 2502857 4808202 5005714 5609569 7508571 11219138 15017142 16828707 17519999 33657414 35039998 52559997 85454689 105119994 170909378 171266929 256364067 342533858 512728134 513800787 598182823 1027601574 1196365646 1198868503 1794548469 2397737006 3589096938 3596605509 4187279761 7193211018 8374559522 8392079521 12561839283 16784159042 25123678566 25176238563 40932796031 50352477126 81865592062 122798388093 245596776186 286529572217 573059144434 859588716651 1719177433302 2005707005519 4011414011038 6017121016557 12034242033114