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14042611000665 = 32513237376913241
BaseRepresentation
bin1100110001011000110011…
…0101110010010101011001
31211201110102201001001211100
43030112030311302111121
53320033231404010130
645511030400422013
72646354664030152
oct314261465622531
954643381031740
1014042611000665
11452448a902115
1216a9676017909
137ab29bc2b600
14367947702929
15195431c39c60
hexcc58cd72559

14042611000665 has 144 divisors (see below), whose sum is σ = 27078476284080. Its totient is φ = 6724147322880.

The previous prime is 14042611000651. The next prime is 14042611000687. The reversal of 14042611000665 is 56600011624041.

14042611000665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 3019128654096 + 11023482346569 = 1737564^2 + 3320163^2 .

It is not a de Polignac number, because 14042611000665 - 28 = 14042611000409 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1060533445 + ... + 1060546685.

It is an arithmetic number, because the mean of its divisors is an integer number (188044974195).

Almost surely, 214042611000665 is an apocalyptic number.

14042611000665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14042611000665 is a deficient number, since it is larger than the sum of its proper divisors (13035865283415).

14042611000665 is a wasteful number, since it uses less digits than its factorization.

14042611000665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17084 (or 17068 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14042611000665 in words is "fourteen trillion, forty-two billion, six hundred eleven million, six hundred sixty-five", and thus it is an aban number.

Divisors: 1 3 5 9 13 15 37 39 45 65 111 117 169 185 195 333 481 507 555 585 845 1443 1521 1665 2405 2535 3769 4329 6253 7215 7605 11307 13241 18759 18845 21645 31265 33921 39723 48997 56277 56535 66205 93795 119169 139453 146991 169605 172133 198615 244985 281385 418359 440973 489917 516399 595845 636961 697265 734955 860665 1255077 1469751 1549197 1812889 1910883 2091795 2204865 2237729 2449585 2581995 3184805 4409253 5438667 5732649 6275385 6368921 6713187 7348755 7745985 9064445 9554415 11188645 16316001 19106763 20139561 22046265 23567557 27193335 28663245 31844605 33565935 49905329 57320289 70702671 81580005 82795973 95533815 100697805 117837785 149715987 212108013 248387919 249526645 286601445 353513355 413979865 449147961 648769277 745163757 748579935 1060540065 1241939595 1846497173 1946307831 2245739805 3243846385 3725818785 5539491519 5838923493 8434000601 9232485865 9731539155 16618474557 24004463249 25302001803 27697457595 29194617465 42170003005 72013389747 75906005409 83092372785 120022316245 126510009015 216040169241 312058022237 360066948735 379530027045 936174066711 1080200846205 1560290111185 2808522200133 4680870333555 14042611000665