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41404344234101 is a prime number
BaseRepresentation
bin10010110101000001100110…
…01110101111000001110101
312102121012211221100202122122
421122200303032233001311
520411332044110442401
6224020520531005325
711502236151061232
oct1132406316570165
9172535757322578
1041404344234101
1112213535a02782
124788533139845
131a1454a20a954
14a31da3a44789
154bc04e44c21b
hex25a8333af075

41404344234101 has 2 divisors, whose sum is σ = 41404344234102. Its totient is φ = 41404344234100.

The previous prime is 41404344234067. The next prime is 41404344234151. The reversal of 41404344234101 is 10143244340414.

41404344234101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31546307892100 + 9858036342001 = 5616610^2 + 3139751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41404344234101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41404344234151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20702172117050 + 20702172117051.

It is an arithmetic number, because the mean of its divisors is an integer number (20702172117051).

Almost surely, 241404344234101 is an apocalyptic number.

It is an amenable number.

41404344234101 is a deficient number, since it is larger than the sum of its proper divisors (1).

41404344234101 is an equidigital number, since it uses as much as digits as its factorization.

41404344234101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 41404344234101 its reverse (10143244340414), we get a palindrome (51547588574515).

The spelling of 41404344234101 in words is "forty-one trillion, four hundred four billion, three hundred forty-four million, two hundred thirty-four thousand, one hundred one".