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14013433431041 = 1131197208604633
BaseRepresentation
bin1100101111101100000110…
…1110001100010000000001
31211121200010021021221211112
43023323001232030100001
53314044002424243131
645445403224053105
72644302641545412
oct313730156142001
954550107257745
1014013433431041
11451307792a210
1216a3a92604195
137a85cc070b05
1436637a5c1809
151947c541902b
hexcbec1b8c401

14013433431041 has 16 divisors (see below), whose sum is σ = 15860627532288. Its totient is φ = 12265952361600.

The previous prime is 14013433431037. The next prime is 14013433431077.

14013433431041 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14013433431041 - 22 = 14013433431037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14013433430989 and 14013433431007.

It is not an unprimeable number, because it can be changed into a prime (14013433431241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104235140 + ... + 104369493.

It is an arithmetic number, because the mean of its divisors is an integer number (991289220768).

Almost surely, 214013433431041 is an apocalyptic number.

14013433431041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14013433431041 is a deficient number, since it is larger than the sum of its proper divisors (1847194101247).

14013433431041 is a wasteful number, since it uses less digits than its factorization.

14013433431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208604872.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 1401343 and 3431041, that added together give a palindrome (4832384).

The spelling of 14013433431041 in words is "fourteen trillion, thirteen billion, four hundred thirty-three million, four hundred thirty-one thousand, forty-one".

Divisors: 1 11 31 197 341 2167 6107 67177 208604633 2294650963 6466743623 41095112701 71134179853 452046239711 1273948493731 14013433431041