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424430322020341 = 71322961393151593
BaseRepresentation
bin110000010000001000110001…
…0100100110110111111110101
32001122210010211220012220221221
41200200101202210312333311
5421112331244414122331
64102404333113310341
7155254036020542140
oct14040214244667765
92048703756186857
10424430322020341
111132669859a533a
123b7295341053b1
13152a97b8c6b300
1476b47740b9057
1534106178a0711
hex1820462936ff5

424430322020341 has 96 divisors (see below), whose sum is σ = 552416611288320. Its totient is φ = 318830635468800.

The previous prime is 424430322020269. The next prime is 424430322020351. The reversal of 424430322020341 is 143020223034424.

It is not a de Polignac number, because 424430322020341 - 27 = 424430322020213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 424430322020297 and 424430322020306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424430322020351) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8226484041 + ... + 8226535633.

It is an arithmetic number, because the mean of its divisors is an integer number (5754339700920).

Almost surely, 2424430322020341 is an apocalyptic number.

It is an amenable number.

424430322020341 is a deficient number, since it is larger than the sum of its proper divisors (127986289267979).

424430322020341 is a wasteful number, since it uses less digits than its factorization.

424430322020341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55647 (or 55634 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 424430322020341 its reverse (143020223034424), we get a palindrome (567450545054765).

The spelling of 424430322020341 in words is "four hundred twenty-four trillion, four hundred thirty billion, three hundred twenty-two million, twenty thousand, three hundred forty-one".

Divisors: 1 7 13 29 61 91 169 203 377 427 793 1183 1769 2639 3931 4901 5551 10309 12383 22997 27517 34307 51103 51593 72163 113999 160979 239791 298961 357721 361151 664339 670709 797993 1481987 1496197 1678537 2092727 3117283 3147173 4650373 4694963 6953939 8719217 10373909 10473379 19265831 19450561 21820981 22030211 40524679 40913249 48677573 61034519 90401207 91268017 134860817 136153927 202812083 252857293 283672753 286392743 531872237 632808449 638876119 1175215691 1186484221 1419684581 1770001051 2636557079 3723105659 5881550407 8226509837 8305389547 12371537063 15424294873 18455899553 34275242027 41170852849 76460155291 86600759441 107970064111 160829981819 239926694189 358774574827 535221087037 993982018783 1125809872733 2090789763647 2511422023789 4664069472751 6957874131481 14635528345529 32648486309257 60632903145763 424430322020341