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41324774401 is a prime number
BaseRepresentation
bin100110011111001001…
…100000010000000001
310221122222212001100001
4212133021200100001
51134113120240101
630552341200001
72662031533561
oct463711402001
9127588761301
1041324774401
1116586837719
128013700001
133b87682b41
1420004dada1
15111ce6c901
hex99f260401

41324774401 has 2 divisors, whose sum is σ = 41324774402. Its totient is φ = 41324774400.

The previous prime is 41324774363. The next prime is 41324774419. The reversal of 41324774401 is 10447742314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29438323776 + 11886450625 = 171576^2 + 109025^2 .

It is a cyclic number.

It is not a de Polignac number, because 41324774401 - 27 = 41324774273 is a prime.

It is a super-3 number, since 3×413247744013 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (41324774461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20662387200 + 20662387201.

It is an arithmetic number, because the mean of its divisors is an integer number (20662387201).

Almost surely, 241324774401 is an apocalyptic number.

It is an amenable number.

41324774401 is a deficient number, since it is larger than the sum of its proper divisors (1).

41324774401 is an equidigital number, since it uses as much as digits as its factorization.

41324774401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 41324774401 in words is "forty-one billion, three hundred twenty-four million, seven hundred seventy-four thousand, four hundred one".