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42434304014142 = 232107181132593733
BaseRepresentation
bin10011010011000000000011…
…00111011111011100111110
312120020200100121101201002200
421221200001213133130332
521030220423311423032
6230130014455332330
711636530416543615
oct1151400147373476
9176220317351080
1042434304014142
11125803183a0867
1249140766810a6
131a8a6cb428891
14a69b8d02687c
154d8c30ee547c
hex2698019df73e

42434304014142 has 96 divisors (see below), whose sum is σ = 92904867768960. Its totient is φ = 13996788672960.

The previous prime is 42434304014111. The next prime is 42434304014159. The reversal of 42434304014142 is 24141040343424.

42434304014142 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 430 + 40 + 141 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42434304014097 and 42434304014106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11367344508 + ... + 11367348240.

It is an arithmetic number, because the mean of its divisors is an integer number (967759039260).

Almost surely, 242434304014142 is an apocalyptic number.

42434304014142 is an abundant number, since it is smaller than the sum of its proper divisors (50470563754818).

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

42434304014142 is a wasteful number, since it uses less digits than its factorization.

42434304014142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8918 (or 8915 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 42434304014142 its reverse (24141040343424), we get a palindrome (66575344357566).

The spelling of 42434304014142 in words is "forty-two trillion, four hundred thirty-four billion, three hundred four million, fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1811 1926 3259 3622 3733 5433 6518 7466 9777 10866 11199 16299 19554 22398 29331 32598 33597 58662 67194 193777 348713 387554 399431 581331 697426 798862 1046139 1162662 1198293 1743993 2092278 2396586 3138417 3487986 3594879 5902049 6276834 6760463 7189758 11804098 12165847 13520926 17706147 20281389 24331694 35412294 36497541 40562778 53118441 60844167 72995082 106236882 109492623 121688334 218985246 631519243 723369541 1263038486 1301745629 1446739082 1894557729 2170108623 2603491258 3789115458 3905236887 4340217246 5683673187 6510325869 7810473774 11367346374 11715710661 13020651738 22032348917 23431421322 44064697834 66097046751 132194093502 198291140253 396582280506 2357461334119 4714922668238 7072384002357 14144768004714 21217152007071 42434304014142