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4000440044449 is a prime number
BaseRepresentation
bin111010001101101100110…
…011101100101110100001
3112011102211112201021102201
4322031230303230232201
51011020400122410244
612301435441413201
7562010430216412
oct72155463545641
915142745637381
104000440044449
111302639128572
1254738b33a201
1323031701ab74
14db89d969809
156e0d992dad4
hex3a36ccecba1

4000440044449 has 2 divisors, whose sum is σ = 4000440044450. Its totient is φ = 4000440044448.

The previous prime is 4000440044357. The next prime is 4000440044473. The reversal of 4000440044449 is 9444400440004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2640196017424 + 1360244027025 = 1624868^2 + 1166295^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000440044449 - 235 = 3966080306081 is a prime.

It is a super-2 number, since 2×40004400444492 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4000440044479) 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, 2000220022224 + 2000220022225.

It is an arithmetic number, because the mean of its divisors is an integer number (2000220022225).

Almost surely, 24000440044449 is an apocalyptic number.

It is an amenable number.

4000440044449 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000440044449 is an equidigital number, since it uses as much as digits as its factorization.

4000440044449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 4000440044449 in words is "four trillion, four hundred forty million, forty-four thousand, four hundred forty-nine".