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13443455434431 = 3111737647658883
BaseRepresentation
bin1100001110100000110001…
…1000101011111010111111
31202121011220112010200200210
43003220030120223322333
53230224144042400211
644331501013323503
72555154233531151
oct303501430537277
952534815120623
1013443455434431
114313379139170
121611522036593
13766935210969
14346949672ad1
15184a660be9a6
hexc3a0c62bebf

13443455434431 has 32 divisors (see below), whose sum is σ = 21263936479488. Its totient is φ = 7461030320640.

The previous prime is 13443455434427. The next prime is 13443455434439.

13443455434431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13443455434431 - 22 = 13443455434427 is a prime.

It is a super-2 number, since 2×134434554344312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13443455434439) 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, 323808685 + ... + 323850198.

It is an arithmetic number, because the mean of its divisors is an integer number (664498014984).

Almost surely, 213443455434431 is an apocalyptic number.

13443455434431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13443455434431 is a deficient number, since it is larger than the sum of its proper divisors (7820481045057).

13443455434431 is a wasteful number, since it uses less digits than its factorization.

13443455434431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647658951.

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 1344345 and 5434431, that added together give a palindrome (6778776).

The spelling of 13443455434431 in words is "thirteen trillion, four hundred forty-three billion, four hundred fifty-five million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 11 17 33 37 51 111 187 407 561 629 1221 1887 6919 20757 647658883 1942976649 7124247713 11010201011 21372743139 23963378671 33030603033 71890136013 121112211121 263597165381 363336633363 407377437407 790791496143 1222132312221 4481151811477 13443455434431