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13440131403401 is a prime number
BaseRepresentation
bin1100001110010100011001…
…0000100000111010001001
31202120212022212101102100102
43003211012100200322021
53230200342114402101
644330151112015145
72555005661660453
oct303450620407211
952525285342312
1013440131403401
114311a2288048a
1216109549914b5
137665256664b1
14346711ddd2d3
1518491e37186b
hexc3946420e89

13440131403401 has 2 divisors, whose sum is σ = 13440131403402. Its totient is φ = 13440131403400.

The previous prime is 13440131403397. The next prime is 13440131403407. The reversal of 13440131403401 is 10430413104431.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7091041735801 + 6349089667600 = 2662901^2 + 2519740^2 .

It is a cyclic number.

It is not a de Polignac number, because 13440131403401 - 22 = 13440131403397 is a prime.

It is not a weakly prime, because it can be changed into another prime (13440131403407) 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 as a sum of consecutive naturals, namely, 6720065701700 + 6720065701701.

It is an arithmetic number, because the mean of its divisors is an integer number (6720065701701).

Almost surely, 213440131403401 is an apocalyptic number.

It is an amenable number.

13440131403401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13440131403401 is an equidigital number, since it uses as much as digits as its factorization.

13440131403401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 13440131403401 its reverse (10430413104431), we get a palindrome (23870544507832).

The spelling of 13440131403401 in words is "thirteen trillion, four hundred forty billion, one hundred thirty-one million, four hundred three thousand, four hundred one".