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33104103032142 = 23219737011891537
BaseRepresentation
bin1111000011011101001100…
…10011010100010101001110
311100012201110212012000011100
413201232212103110111032
513314334200334012032
6154223452012003530
76654456350666532
oct741564623242516
9140181425160140
1033104103032142
11a60340a15968a
1238679691605a6
13156191b835c4c
148263661d7bc2
153c61a8a8097c
hex1e1ba64d454e

33104103032142 has 96 divisors (see below), whose sum is σ = 76644060498720. Its totient is φ = 10296008755200.

The previous prime is 33104103032141. The next prime is 33104103032167. The reversal of 33104103032142 is 24123030140133.

It is a happy number.

33104103032142 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 410 + 30 + 3 + 214 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33104103032141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16555398 + ... + 18446934.

It is an arithmetic number, because the mean of its divisors is an integer number (798375630195).

Almost surely, 233104103032142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33104103032142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38322030249360).

33104103032142 is an abundant number, since it is smaller than the sum of its proper divisors (43539957466578).

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

33104103032142 is a wasteful number, since it uses less digits than its factorization.

33104103032142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892338 (or 1892335 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33104103032142 its reverse (24123030140133), we get a palindrome (57227133172275).

The spelling of 33104103032142 in words is "thirty-three trillion, one hundred four billion, one hundred three million, thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 73 114 146 171 219 342 438 657 701 1314 1387 1402 2103 2774 4161 4206 6309 8322 12483 12618 13319 24966 26638 39957 51173 79914 102346 119871 153519 239742 307038 460557 921114 972287 1891537 1944574 2916861 3783074 5674611 5833722 8750583 11349222 17023833 17501166 34047666 35939203 71878406 107817609 138082201 215635218 276164402 323452827 414246603 646905654 828493206 1242739809 1325967437 2485479618 2623561819 2651934874 3977902311 5247123638 7870685457 7955804622 11933706933 15741370914 23612056371 23867413866 25193381303 47224112742 50386762606 75580143909 96795622901 151160287818 193591245802 226740431727 290386868703 453480863454 580773737406 871160606109 1742321212218 1839116835119 3678233670238 5517350505357 11034701010714 16552051516071 33104103032142