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42414403404114 = 2337491228528343
BaseRepresentation
bin10011010010011010111110…
…11100101100000101010010
312120011202222200212222021000
421221031133130230011102
521024404144232412424
6230112524040242430
711635224312261450
oct1151153734540522
9176152880788230
1042414403404114
1112572935a86a15
124910241a70416
131a8887950cba1
14a68c220139d0
154d8468d5d3c9
hex26935f72c152

42414403404114 has 64 divisors (see below), whose sum is σ = 107938507438080. Its totient is φ = 12093719858640.

The previous prime is 42414403404077. The next prime is 42414403404133. The reversal of 42414403404114 is 41140430441424.

42414403404114 is a `hidden beast` number, since 4 + 241 + 4 + 4 + 0 + 3 + 404 + 1 + 1 + 4 = 666.

42414403404114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424144034041142 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 114078574 + ... + 114449769.

It is an arithmetic number, because the mean of its divisors is an integer number (1686539178720).

Almost surely, 242414403404114 is an apocalyptic number.

42414403404114 is an abundant number, since it is smaller than the sum of its proper divisors (65524104033966).

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

42414403404114 is a wasteful number, since it uses less digits than its factorization.

42414403404114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228528852 (or 228528846 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 42414403404114 its reverse (41140430441424), we get a palindrome (83554833845538).

The spelling of 42414403404114 in words is "forty-two trillion, four hundred fourteen billion, four hundred three million, four hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 491 982 1473 2946 3437 4419 6874 8838 10311 13257 20622 26514 30933 61866 92799 185598 228528343 457056686 685585029 1371170058 1599698401 2056755087 3199396802 4113510174 4799095203 6170265261 9598190406 12340530522 14397285609 28794571218 43191856827 86383713654 112207416413 224414832826 336622249239 673244498478 785451914891 1009866747717 1570903829782 2019733495434 2356355744673 3029600243151 4712711489346 6059200486302 7069067234019 14138134468038 21207201702057 42414403404114