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40144124331041 is a prime number
BaseRepresentation
bin10010010000010110010000…
…10001010100010000100001
312021010202000001021121122012
421020023020101110100201
520230210131312043131
6221213542304522305
711312213552456543
oct1110131021242041
9167122001247565
1040144124331041
11118780336a2165
12460424a020395
131952761760513
149cadb3783693
15499392a7252b
hex2482c8454421

40144124331041 has 2 divisors, whose sum is σ = 40144124331042. Its totient is φ = 40144124331040.

The previous prime is 40144124331007. The next prime is 40144124331071. The reversal of 40144124331041 is 14013342144104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30090754134016 + 10053370197025 = 5485504^2 + 3170705^2 .

It is a cyclic number.

It is not a de Polignac number, because 40144124331041 - 218 = 40144124068897 is a prime.

It is a super-2 number, since 2×401441243310412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40144124330989 and 40144124331007.

It is not a weakly prime, because it can be changed into another prime (40144124331071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20072062165520 + 20072062165521.

It is an arithmetic number, because the mean of its divisors is an integer number (20072062165521).

Almost surely, 240144124331041 is an apocalyptic number.

It is an amenable number.

40144124331041 is a deficient number, since it is larger than the sum of its proper divisors (1).

40144124331041 is an equidigital number, since it uses as much as digits as its factorization.

40144124331041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 40144124331041 its reverse (14013342144104), we get a palindrome (54157466475145).

The spelling of 40144124331041 in words is "forty trillion, one hundred forty-four billion, one hundred twenty-four million, three hundred thirty-one thousand, forty-one".