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42014224240044 = 22372671066459139
BaseRepresentation
bin10011000110110001100101…
…11010010100110110101100
312111202112001112012010100220
421203120302322110312230
521001330112401140134
6225205022420051340
711564266433433300
oct1143306272246654
9174675045163326
1042014224240044
1112429150302a41
12486677a833b50
131a59c02a31304
14a536dc133d00
154ccd46874149
hex263632e94dac

42014224240044 has 72 divisors (see below), whose sum is σ = 115740677545920. Its totient is φ = 11824898922144.

The previous prime is 42014224240003. The next prime is 42014224240069. The reversal of 42014224240044 is 44004242241024.

42014224240044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42014224239987 and 42014224240014.

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 23 ways as a sum of consecutive naturals, for example, 533190174 + ... + 533268965.

It is an arithmetic number, because the mean of its divisors is an integer number (1607509410360).

Almost surely, 242014224240044 is an apocalyptic number.

It is an amenable number.

42014224240044 is an abundant number, since it is smaller than the sum of its proper divisors (73726453305876).

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

42014224240044 is a wasteful number, since it uses less digits than its factorization.

42014224240044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066459227 (or 1066459218 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 42014224240044 its reverse (44004242241024), we get a palindrome (86018466481068).

The spelling of 42014224240044 in words is "forty-two trillion, fourteen billion, two hundred twenty-four million, two hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 402 469 588 804 938 1407 1876 2814 3283 5628 6566 9849 13132 19698 39396 1066459139 2132918278 3199377417 4265836556 6398754834 7465213973 12797509668 14930427946 22395641919 29860855892 44791283838 52256497811 71452762313 89582567676 104512995622 142905524626 156769493433 209025991244 214358286939 285811049252 313538986866 428716573878 500169336191 627077973732 857433147756 1000338672382 1500508008573 2000677344764 3001016017146 3501185353337 6002032034292 7002370706674 10503556060011 14004741413348 21007112120022 42014224240044