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33034230344142 = 23331146271349129
BaseRepresentation
bin1111000001011011000011…
…00100001010100111001110
311022222001010022101200112000
413200231201210022213032
513312213100432003032
6154131414345453130
76646434010644066
oct740554144124716
9138861108350460
1033034230344142
11a586813912a45
123856308aa11a6
1315581648a5751
14822c184823a6
153c446971be7c
hex1e0b6190a9ce

33034230344142 has 64 divisors (see below), whose sum is σ = 75782682777600. Its totient is φ = 10655466909120.

The previous prime is 33034230344123. The next prime is 33034230344149. The reversal of 33034230344142 is 24144303243033.

33034230344142 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 4 + 230 + 3 + 4 + 414 + 2 = 666.

It is a super-3 number, since 3×330342303441423 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33034230344097 and 33034230344106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33034230344149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23811034 + ... + 25160162.

It is an arithmetic number, because the mean of its divisors is an integer number (1184104418400).

Almost surely, 233034230344142 is an apocalyptic number.

33034230344142 is an abundant number, since it is smaller than the sum of its proper divisors (42748452433458).

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

33034230344142 is a wasteful number, since it uses less digits than its factorization.

33034230344142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363798 (or 1363792 counting only the distinct ones).

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

Adding to 33034230344142 its reverse (24144303243033), we get a palindrome (57178533587175).

The spelling of 33034230344142 in words is "thirty-three trillion, thirty-four billion, two hundred thirty million, three hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 14627 29254 43881 87762 131643 263286 394929 453437 789858 906874 1349129 1360311 2698258 2720622 4047387 4080933 8094774 8161866 12142161 12242799 24284322 24485598 36426483 41822999 72852966 83645998 125468997 250937994 376406991 752813982 1129220973 2258441946 19733709883 39467419766 59201129649 118402259298 177603388947 355206777894 532810166841 611745006373 1065620333682 1223490012746 1835235019119 3670470038238 5505705057357 11011410114714 16517115172071 33034230344142