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2405314144141 is a prime number
BaseRepresentation
bin100011000000000111111…
…001010010011110001101
322111221112110220201021021
4203000013321102132031
5303402040410103031
65040552553434141
7335530632612466
oct43000771223615
98457473821237
102405314144141
118480a7145347
1232a1baa0b951
13145a87b41cac
14845bc729d6d
154287b1d2511
hex23007e5278d

2405314144141 has 2 divisors, whose sum is σ = 2405314144142. Its totient is φ = 2405314144140.

The previous prime is 2405314144099. The next prime is 2405314144183. The reversal of 2405314144141 is 1414414135042.

It is a balanced prime because it is at equal distance from previous prime (2405314144099) and next prime (2405314144183).

It can be written as a sum of positive squares in only one way, i.e., 2403647136900 + 1667007241 = 1550370^2 + 40829^2 .

It is a cyclic number.

It is not a de Polignac number, because 2405314144141 - 241 = 206290888589 is a prime.

It is a super-2 number, since 2×24053141441412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2405314144097 and 2405314144106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2405314144841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1202657072070 + 1202657072071.

It is an arithmetic number, because the mean of its divisors is an integer number (1202657072071).

Almost surely, 22405314144141 is an apocalyptic number.

It is an amenable number.

2405314144141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2405314144141 is an equidigital number, since it uses as much as digits as its factorization.

2405314144141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 2405314144141 its reverse (1414414135042), we get a palindrome (3819728279183).

Subtracting from 2405314144141 its reverse (1414414135042), we obtain a palindrome (990900009099).

The spelling of 2405314144141 in words is "two trillion, four hundred five billion, three hundred fourteen million, one hundred forty-four thousand, one hundred forty-one".