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40804444481 is a prime number
BaseRepresentation
bin100110000000001000…
…100110100101000001
310220022201202112212112
4212000020212211001
51132031414210411
630424552505105
72643113024663
oct460010464501
9126281675775
1040804444481
111633a055099
127aa93ab195
133b03930408
141d91372533
1510dc43ab8b
hex980226941

40804444481 has 2 divisors, whose sum is σ = 40804444482. Its totient is φ = 40804444480.

The previous prime is 40804444411. The next prime is 40804444507. The reversal of 40804444481 is 18444440804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40800364081 + 4080400 = 201991^2 + 2020^2 .

It is a cyclic number.

It is not a de Polignac number, because 40804444481 - 210 = 40804443457 is a prime.

It is a super-2 number, since 2×408044444812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40804444411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20402222240 + 20402222241.

It is an arithmetic number, because the mean of its divisors is an integer number (20402222241).

Almost surely, 240804444481 is an apocalyptic number.

It is an amenable number.

40804444481 is a deficient number, since it is larger than the sum of its proper divisors (1).

40804444481 is an equidigital number, since it uses as much as digits as its factorization.

40804444481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 262144, while the sum is 41.

The spelling of 40804444481 in words is "forty billion, eight hundred four million, four hundred forty-four thousand, four hundred eighty-one".