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34011040131112 = 231114931380718749
BaseRepresentation
bin1111011101110110011111…
…11101110010100000101000
311110102102102212100020012011
413232323033331302200220
513424214102233143422
6200200242305325304
710110134165100442
oct756731775624050
9143372385306164
1034011040131112
11a923001540620
123993698636834
1315c92c5573735
14858200a45492
153dea8a0ee077
hex1eeecff72828

34011040131112 has 64 divisors (see below), whose sum is σ = 69623388000000. Its totient is φ = 15447266115840.

The previous prime is 34011040131083. The next prime is 34011040131137. The reversal of 34011040131112 is 21113104011043.

It is a super-2 number, since 2×340110401311122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1814009514 + ... + 1814028262.

It is an arithmetic number, because the mean of its divisors is an integer number (1087865437500).

Almost surely, 234011040131112 is an apocalyptic number.

It is an amenable number.

34011040131112 is an abundant number, since it is smaller than the sum of its proper divisors (35612347868888).

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

34011040131112 is a wasteful number, since it uses less digits than its factorization.

34011040131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34066 (or 34062 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 34011040131112 its reverse (21113104011043), we get a palindrome (55124144142155).

The spelling of 34011040131112 in words is "thirty-four trillion, eleven billion, forty million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 1493 2986 5972 11944 13807 16423 18749 27614 32846 37498 55228 65692 74996 110456 131384 149992 151877 206239 303754 412478 607508 824956 1215016 1649912 20613851 27992257 41227702 55984514 82455404 111969028 164910808 223938056 226752361 258867443 307914827 453504722 517734886 615829654 907009444 1035469772 1231659308 1814018888 2070939544 2463318616 2847541873 5695083746 11390167492 22780334984 386489092399 772978184798 1545956369596 3091912739192 4251380016389 8502760032778 17005520065556 34011040131112