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444481306001 is a prime number
BaseRepresentation
bin1100111011111010010…
…01100111110110010001
31120111021122222211122122
412131331021213312101
524240244203243001
6540105240544025
744053442522615
oct6357511476621
91514248884578
10444481306001
1116155a122a17
1272187a82015
1332bb6c50555
14177279b1345
15b866a29b1b
hex677d267d91

444481306001 has 2 divisors, whose sum is σ = 444481306002. Its totient is φ = 444481306000.

The previous prime is 444481305991. The next prime is 444481306013. The reversal of 444481306001 is 100603184444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 397631136400 + 46850169601 = 630580^2 + 216449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444481306001 is a prime.

It is a super-2 number, since 2×4444813060012 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (444481366001) 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, 222240653000 + 222240653001.

It is an arithmetic number, because the mean of its divisors is an integer number (222240653001).

Almost surely, 2444481306001 is an apocalyptic number.

It is an amenable number.

444481306001 is a deficient number, since it is larger than the sum of its proper divisors (1).

444481306001 is an equidigital number, since it uses as much as digits as its factorization.

444481306001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 444481306001 in words is "four hundred forty-four billion, four hundred eighty-one million, three hundred six thousand, one".