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34034112204012 = 22321792153603467
BaseRepresentation
bin1111011110100001011110…
…01010110000110011101100
311110111121222210111222012200
413233100233022300303230
513430103330211012022
6200215015540101500
710111612012346214
oct757205712606354
9143447883458180
1034034112204012
11a931871087468
123998057394890
1315cb531548a8b
1485938cd35244
153e048a8e8bac
hex1ef42f2b0cec

34034112204012 has 72 divisors (see below), whose sum is σ = 91092439737936. Its totient is φ = 10677234975744.

The previous prime is 34034112203963. The next prime is 34034112204017. The reversal of 34034112204012 is 21040221143043.

34034112204012 is a `hidden beast` number, since 3 + 4 + 0 + 34 + 1 + 1 + 220 + 401 + 2 = 666.

It is a super-2 number, since 2×340341122040122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34034112204017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56095903 + ... + 56699369.

It is an arithmetic number, because the mean of its divisors is an integer number (1265172774138).

Almost surely, 234034112204012 is an apocalyptic number.

It is an amenable number.

34034112204012 is an abundant number, since it is smaller than the sum of its proper divisors (57058327533924).

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

34034112204012 is a wasteful number, since it uses less digits than its factorization.

34034112204012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695647 (or 695642 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34034112204012 its reverse (21040221143043), we get a palindrome (55074333347055).

The spelling of 34034112204012 in words is "thirty-four trillion, thirty-four billion, one hundred twelve million, two hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 92153 184306 276459 368612 552918 603467 829377 1105836 1206934 1566601 1658754 1810401 2413868 3133202 3317508 3620802 4699803 5431203 6266404 7241604 9399606 10258939 10862406 14099409 18799212 20517878 21724812 28198818 30776817 41035756 56397636 61553634 92330451 123107268 184660902 369321804 55611294451 111222588902 166833883353 222445177804 333667766706 500501650059 667335533412 945392005667 1001003300118 1890784011334 2002006600236 2836176017001 3781568022668 5672352034002 8508528051003 11344704068004 17017056102006 34034112204012