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212214104040114 = 232118631315994379
BaseRepresentation
bin110000010000000111110010…
…010010011010001010110010
31000211101110200210020022122100
4300100013302102122022302
5210303403441113240424
62031201451420121230
762461651220542521
oct6020076222321262
91024343623208570
10212214104040114
1161688550358450
121b974622096216
1391549200061a7
143a593089204b8
151980298768dc9
hexc101f249a2b2

212214104040114 has 96 divisors (see below), whose sum is σ = 502221681561600. Its totient is φ = 64227226445280.

The previous prime is 212214104040031. The next prime is 212214104040139. The reversal of 212214104040114 is 411040401412212.

212214104040114 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 141 + 0 + 404 + 0 + 114 = 666.

It is a super-2 number, since 2×2122141040401142 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2248483777 + ... + 2248578155.

It is an arithmetic number, because the mean of its divisors is an integer number (5231475849600).

Almost surely, 2212214104040114 is an apocalyptic number.

212214104040114 is an abundant number, since it is smaller than the sum of its proper divisors (290007577521486).

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

212214104040114 is a wasteful number, since it uses less digits than its factorization.

212214104040114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108420 (or 108417 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 212214104040114 its reverse (411040401412212), we get a palindrome (623254505452326).

The spelling of 212214104040114 in words is "two hundred twelve trillion, two hundred fourteen billion, one hundred four million, forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 863 1726 2589 5178 7767 9493 13159 15534 18986 26318 28479 39477 56958 78954 85437 94379 118431 144749 170874 188758 236862 283137 289498 434247 566274 849411 868494 1038169 1302741 1698822 2076338 2605482 3114507 6229014 9343521 11356217 18687042 22712434 34068651 68137302 81449077 102205953 124918387 162898154 204411906 244347231 249836774 374755161 488694462 733041693 749510322 895939847 1124265483 1241933261 1466083386 1791879694 2248530966 2483866522 2687819541 3725799783 5375639082 7451599566 8063458623 11177399349 13661265871 16126917246 22354798698 27322531742 40983797613 81967595226 122951392839 245902785678 1071788404243 2143576808486 3215365212729 6430730425458 9646095638187 11789672446673 19292191276374 23579344893346 35369017340019 70738034680038 106107052020057 212214104040114