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13443460341345 = 3251717573150773
BaseRepresentation
bin1100001110100000110010…
…1011011001111001100001
31202121011220212100222201100
43003220030223121321201
53230224201321410340
644331501310425013
72555154323326056
oct303501453317141
952534825328640
1013443460341345
11431338098a871
121611523802169
1376693623b268
1434694a18d02d
15184a6673d830
hexc3a0cad9e61

13443460341345 has 24 divisors (see below), whose sum is σ = 24672703686696. Its totient is φ = 6748089896448.

The previous prime is 13443460341323. The next prime is 13443460341361. The reversal of 13443460341345 is 54314306434431.

13443460341345 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 3 + 4 + 603 + 4 + 1 + 34 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 415201098321 + 13028259243024 = 644361^2 + 3609468^2 .

It is not a de Polignac number, because 13443460341345 - 216 = 13443460275809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13443460341345.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8786574622 + ... + 8786576151.

It is an arithmetic number, because the mean of its divisors is an integer number (1028029320279).

Almost surely, 213443460341345 is an apocalyptic number.

13443460341345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13443460341345 is a deficient number, since it is larger than the sum of its proper divisors (11229243345351).

13443460341345 is a wasteful number, since it uses less digits than its factorization.

13443460341345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17573150801 (or 17573150798 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

Adding to 13443460341345 its reverse (54314306434431), we get a palindrome (67757766775776).

The spelling of 13443460341345 in words is "thirteen trillion, four hundred forty-three billion, four hundred sixty million, three hundred forty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 17573150773 52719452319 87865753865 158158356957 263597261595 298743563141 790791784785 896230689423 1493717815705 2688692068269 4481153447115 13443460341345