Search a number
-
+
141014313126 = 2341922411243
BaseRepresentation
bin1000001101010100011…
…0111010100010100110
3111110222112022022210000
42003111012322202212
54302244131010001
6144440414042130
713121315612301
oct2032506724246
9443875268700
10141014313126
11548929a3655
12233b54a9346
13103b3a70c8b
146b7a223b38
153a04ccda86
hex20d51ba8a6

141014313126 has 60 divisors (see below), whose sum is σ = 333482278932. Its totient is φ = 44530817256.

The previous prime is 141014313091. The next prime is 141014313127. The reversal of 141014313126 is 621313410141.

141014313126 is a `hidden beast` number, since 1 + 4 + 101 + 431 + 3 + 126 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 141014313126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141014313127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1147140 + ... + 1264103.

Almost surely, 2141014313126 is an apocalyptic number.

141014313126 is an abundant number, since it is smaller than the sum of its proper divisors (192467965806).

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

141014313126 is a wasteful number, since it uses less digits than its factorization.

141014313126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411295 (or 2411267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 141014313126 its reverse (621313410141), we get a palindrome (762327723267).

The spelling of 141014313126 in words is "one hundred forty-one billion, fourteen million, three hundred thirteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 361 513 722 1026 1083 1539 2166 3078 3249 6498 9747 19494 29241 58482 2411243 4822486 7233729 14467458 21701187 43402374 45813617 65103561 91627234 130207122 137440851 195310683 274881702 390621366 412322553 824645106 870458723 1236967659 1740917446 2473935318 2611376169 3710902977 5222752338 7421805954 7834128507 15668257014 23502385521 47004771042 70507156563 141014313126