Search a number
-
+
13514340116052 = 22328833761113039
BaseRepresentation
bin1100010010101000110101…
…1100010010011001010100
31202211221212121011121121100
43010222031130102121110
53232404332032203202
644424222510150100
72563243642426416
oct304521534223124
952757777147540
1013514340116052
11434044374a676
1216232051b2330
13770520a1a459
1434a1519789b6
151868141d341c
hexc4a8d712654

13514340116052 has 72 divisors (see below), whose sum is σ = 34209332277120. Its totient is φ = 4498442161920.

The previous prime is 13514340116033. The next prime is 13514340116071. The reversal of 13514340116052 is 25061104341531.

13514340116052 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 4 + 3 + 40 + 1 + 1 + 605 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13514340116033) and next prime (13514340116071).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13514340115998 and 13514340116016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119498149 + ... + 119611187.

It is an arithmetic number, because the mean of its divisors is an integer number (475129614960).

Almost surely, 213514340116052 is an apocalyptic number.

13514340116052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13514340116052 is an abundant number, since it is smaller than the sum of its proper divisors (20694992161068).

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

13514340116052 is a wasteful number, since it uses less digits than its factorization.

13514340116052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117693 (or 117688 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 13514340116052 its reverse (25061104341531), we get a palindrome (38575444457583).

The spelling of 13514340116052 in words is "thirteen trillion, five hundred fourteen billion, three hundred forty million, one hundred sixteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 883 1766 2649 3532 3761 5298 7522 7947 10596 11283 15044 15894 22566 31788 33849 45132 67698 113039 135396 226078 339117 452156 678234 1017351 1356468 2034702 3320963 4069404 6641926 9962889 13283852 19925778 29888667 39851556 59777334 99813437 119554668 199626874 299440311 399253748 425139679 598880622 850279358 898320933 1197761244 1275419037 1700558716 1796641866 2550838074 3593283732 3826257111 5101676148 7652514222 15305028444 375398336557 750796673114 1126195009671 1501593346228 2252390019342 3378585029013 4504780038684 6757170058026 13514340116052