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33020412042114 = 2337107816407359
BaseRepresentation
bin1111000001000001010011…
…11011100001101110000010
311022220201110021211012201000
413200200221323201232002
513312001300440321424
6154121211243352430
76645434410215210
oct740405173415602
9138821407735630
1033020412042114
11a580972837122
1238536b1222716
131556a71b13583
148222a7185cb0
153c3e0b52a3c9
hex1e0829ee1b82

33020412042114 has 64 divisors (see below), whose sum is σ = 84645115084800. Its totient is φ = 9346231434384.

The previous prime is 33020412042109. The next prime is 33020412042151. The reversal of 33020412042114 is 41124021402033.

33020412042114 is a `hidden beast` number, since 3 + 3 + 0 + 204 + 1 + 20 + 421 + 14 = 666.

It is a super-2 number, since 2×330204120421142 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408163234 + ... + 408244125.

It is an arithmetic number, because the mean of its divisors is an integer number (1322579923200).

Almost surely, 233020412042114 is an apocalyptic number.

33020412042114 is an abundant number, since it is smaller than the sum of its proper divisors (51624703042686).

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

33020412042114 is a wasteful number, since it uses less digits than its factorization.

33020412042114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816407484 (or 816407478 counting only the distinct ones).

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

Adding to 33020412042114 its reverse (41124021402033), we get a palindrome (74144433444147).

The spelling of 33020412042114 in words is "thirty-three trillion, twenty billion, four hundred twelve million, forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 107 126 189 214 321 378 642 749 963 1498 1926 2247 2889 4494 5778 6741 13482 20223 40446 816407359 1632814718 2449222077 4898444154 5714851513 7347666231 11429703026 14695332462 17144554539 22042998693 34289109078 44085997386 51433663617 87355587413 102867327234 154300990851 174711174826 262066762239 308601981702 524133524478 611489111891 786200286717 1222978223782 1572400573434 1834467335673 2358600860151 3668934671346 4717201720302 5503402007019 11006804014038 16510206021057 33020412042114