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13438326203145 = 325298629471181
BaseRepresentation
bin1100001110001101101010…
…1010001110001100001001
31202120200200001120202010200
43003203122222032030021
53230133143002000040
644325252024202413
72554613152014114
oct303433252161411
952520601522120
1013438326203145
114311186894848
121610530309409
137662c867546c
143465c037157b
15184865b3c630
hexc38daa8e309

13438326203145 has 12 divisors (see below), whose sum is σ = 23293098752196. Its totient is φ = 7167107308320.

The previous prime is 13438326203143. The next prime is 13438326203149. The reversal of 13438326203145 is 54130262383431.

It is a happy number.

13438326203145 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 8 + 3 + 2 + 620 + 3 + 14 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1440914545161 + 11997411657984 = 1200381^2 + 3463728^2 .

It is not a de Polignac number, because 13438326203145 - 21 = 13438326203143 is a prime.

It is a super-2 number, since 2×134383262031452 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 298629471181 = 13438326203145 / (1 + 3 + 4 + 3 + 8 + 3 + 2 + 6 + 2 + 0 + 3 + 1 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 13438326203145.

It is not an unprimeable number, because it can be changed into a prime (13438326203143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149314735546 + ... + 149314735635.

It is an arithmetic number, because the mean of its divisors is an integer number (1941091562683).

Almost surely, 213438326203145 is an apocalyptic number.

13438326203145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13438326203145 is a deficient number, since it is larger than the sum of its proper divisors (9854772549051).

13438326203145 is a wasteful number, since it uses less digits than its factorization.

13438326203145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298629471192 (or 298629471189 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 13438326203145 its reverse (54130262383431), we get a palindrome (67568588586576).

The spelling of 13438326203145 in words is "thirteen trillion, four hundred thirty-eight billion, three hundred twenty-six million, two hundred three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 298629471181 895888413543 1493147355905 2687665240629 4479442067715 13438326203145