Search a number
-
+
14131140011241 = 3111792809271409
BaseRepresentation
bin1100110110100010100110…
…0101001010010011101001
31212000220221102222202210220
43031220221211022103221
53323011033320324431
650015431152400253
72655640552143621
oct315505145122351
955026842882726
1014131140011241
114558a8a158070
121702862246089
137b673a078136
1436bd450cd881
151978b3d9cb96
hexcda2994a4e9

14131140011241 has 32 divisors (see below), whose sum is σ = 21763781654400. Its totient is φ = 8060426772480.

The previous prime is 14131140011161. The next prime is 14131140011311. The reversal of 14131140011241 is 14211004113141.

It is a happy number.

It is not a de Polignac number, because 14131140011241 - 27 = 14131140011113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14131140011041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51930145 + ... + 52201553.

It is an arithmetic number, because the mean of its divisors is an integer number (680118176700).

Almost surely, 214131140011241 is an apocalyptic number.

14131140011241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14131140011241 is a deficient number, since it is larger than the sum of its proper divisors (7632641643159).

14131140011241 is a wasteful number, since it uses less digits than its factorization.

14131140011241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364249.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 14131140011241 its reverse (14211004113141), we get a palindrome (28342144124382).

The spelling of 14131140011241 in words is "fourteen trillion, one hundred thirty-one billion, one hundred forty million, eleven thousand, two hundred forty-one".

Divisors: 1 3 11 17 33 51 187 561 92809 271409 278427 814227 1020899 1577753 2985499 3062697 4613953 4733259 8956497 13841859 17355283 50753483 52065849 152260449 25189197881 75567593643 277081176691 428216363977 831243530073 1284649091931 4710380003747 14131140011241