Search a number
-
+
13140320244255 = 345241713423763
BaseRepresentation
bin1011111100110111100000…
…0111101101001000011111
31201112012110111210111120000
42333031320013231020133
53210242333440304010
643540325122225343
72524233246114411
oct277157007551037
951465414714500
1013140320244255
114206862235106
1215828227b5253
137441859b5849
14335dcddb69b1
1517bc235657c0
hexbf3781ed21f

13140320244255 has 40 divisors (see below), whose sum is σ = 23564988141552. Its totient is φ = 7005270742272.

The previous prime is 13140320244253. The next prime is 13140320244269. The reversal of 13140320244255 is 55244202304131.

It is a happy number.

13140320244255 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 3 + 202 + 442 + 5 + 5 = 666.

It is not a de Polignac number, because 13140320244255 - 21 = 13140320244253 is a prime.

It is a super-3 number, since 3×131403202442553 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140320244253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5732997 + ... + 7690766.

Almost surely, 213140320244255 is an apocalyptic number.

13140320244255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13140320244255 is a deficient number, since it is larger than the sum of its proper divisors (10424667897297).

13140320244255 is a wasteful number, since it uses less digits than its factorization.

13140320244255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13426197 (or 13426188 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 13140320244255 its reverse (55244202304131), we get a palindrome (68384522548386).

The spelling of 13140320244255 in words is "thirteen trillion, one hundred forty billion, three hundred twenty million, two hundred forty-four thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 2417 7251 12085 21753 36255 65259 108765 195777 326295 978885 13423763 40271289 67118815 120813867 201356445 362441601 604069335 1087324803 1812208005 5436624015 32445235171 97335705513 162226175855 292007116539 486678527565 876021349617 1460035582695 2628064048851 4380106748085 13140320244255