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13405243431321 = 3272334721266449
BaseRepresentation
bin1100001100010010011011…
…0001011101100110011001
31202110112021110111210211100
43003010212301131212121
53224112414304300241
644302141145422013
72552332300053240
oct303044661354631
952415243453740
1013405243431321
1142a914a496705
121606038a9a909
13763155707c31
14344b62735957
15183a7b56e9b6
hexc3126c5d999

13405243431321 has 48 divisors (see below), whose sum is σ = 23092185542400. Its totient is φ = 7326851051520.

The previous prime is 13405243431317. The next prime is 13405243431397. The reversal of 13405243431321 is 12313434250431.

13405243431321 is a `hidden beast` number, since 1 + 3 + 40 + 52 + 434 + 3 + 132 + 1 = 666.

It is not a de Polignac number, because 13405243431321 - 22 = 13405243431317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13405243439321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50177505 + ... + 50443953.

It is an arithmetic number, because the mean of its divisors is an integer number (481087198800).

Almost surely, 213405243431321 is an apocalyptic number.

It is an amenable number.

13405243431321 is a deficient number, since it is larger than the sum of its proper divisors (9686942111079).

13405243431321 is a wasteful number, since it uses less digits than its factorization.

13405243431321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301206 (or 301203 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13405243431321 its reverse (12313434250431), we get a palindrome (25718677681752).

The spelling of 13405243431321 in words is "thirteen trillion, four hundred five billion, two hundred forty-three million, four hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 34721 104163 243047 266449 312489 729141 798583 799347 1865143 2187423 2395749 2398041 5590081 5595429 6128327 7187247 16770243 16786287 18384981 42898289 50310729 55154943 128694867 386084601 9251375729 27754127187 64759630103 83262381561 194278890309 212781641767 582836670927 638344925301 1489471492369 1915034775903 4468414477107 13405243431321