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14312221341 = 3112173762683
BaseRepresentation
bin11010101010001001…
…10010101010011101
31100221102222011201220
431111010302222131
5213302412040331
610324104323553
71014445605555
oct152504625235
940842864656
1014312221341
11608496a800
1229351735b9
1314711c8632
1499ab4c165
1558b758296
hex355132a9d

14312221341 has 48 divisors (see below), whose sum is σ = 22809955392. Its totient is φ = 7943063040.

The previous prime is 14312221337. The next prime is 14312221381.

14312221341 is nontrivially palindromic in base 10.

14312221341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14312221341 - 22 = 14312221337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14312221321) 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 47 ways as a sum of consecutive naturals, for example, 196986 + ... + 259668.

It is an arithmetic number, because the mean of its divisors is an integer number (475207404).

Almost surely, 214312221341 is an apocalyptic number.

14312221341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14312221341 is a deficient number, since it is larger than the sum of its proper divisors (8497734051).

14312221341 is a wasteful number, since it uses less digits than its factorization.

14312221341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62762 (or 62751 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The spelling of 14312221341 in words is "fourteen billion, three hundred twelve million, two hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 3 11 17 33 37 51 111 121 187 363 407 561 629 1221 1887 2057 4477 6171 6919 13431 20757 62683 76109 188049 228327 689513 1065611 2068539 2319271 3196833 6957813 7584643 11721721 22753929 25511981 35165163 39427607 76535943 118282821 128938931 280631791 386816793 433703677 841895373 1301111031 4770740447 14312221341