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2442711937349 is a prime number
BaseRepresentation
bin100011100010111100111…
…110100011000101000101
322122112001210110110010102
4203202330332203011011
5310010133223443344
65110055534133445
7341323451611535
oct43427476430505
98575053413112
102442711937349
11861a48230962
123354b7351285
13149467a5b008
148632947d4c5
15438194eee4e
hex238bcfa3145

2442711937349 has 2 divisors, whose sum is σ = 2442711937350. Its totient is φ = 2442711937348.

The previous prime is 2442711937283. The next prime is 2442711937361. The reversal of 2442711937349 is 9437391172442.

2442711937349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1965023614849 + 477688322500 = 1401793^2 + 691150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2442711937349 is a prime.

It is a super-2 number, since 2×24427119373492 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2442711937294 and 2442711937303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2442711237349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1221355968674 + 1221355968675.

It is an arithmetic number, because the mean of its divisors is an integer number (1221355968675).

Almost surely, 22442711937349 is an apocalyptic number.

It is an amenable number.

2442711937349 is a deficient number, since it is larger than the sum of its proper divisors (1).

2442711937349 is an equidigital number, since it uses as much as digits as its factorization.

2442711937349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9144576, while the sum is 56.

The spelling of 2442711937349 in words is "two trillion, four hundred forty-two billion, seven hundred eleven million, nine hundred thirty-seven thousand, three hundred forty-nine".