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444103314401 is a prime number
BaseRepresentation
bin1100111011001101001…
…11101100101111100001
31120110022022201212122202
412131212213230233201
524234010422030101
6540003535142545
744041202613365
oct6354647545741
91513268655582
10444103314401
1116138581a26a
12720a1374a55
1332b56846596
14176cd6d92a5
15b84376236b
hex67669ecbe1

444103314401 has 2 divisors, whose sum is σ = 444103314402. Its totient is φ = 444103314400.

The previous prime is 444103314373. The next prime is 444103314449. The reversal of 444103314401 is 104413301444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 338286477376 + 105816837025 = 581624^2 + 325295^2 .

It is a cyclic number.

It is not a de Polignac number, because 444103314401 - 26 = 444103314337 is a prime.

It is not a weakly prime, because it can be changed into another prime (444103314481) 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, 222051657200 + 222051657201.

It is an arithmetic number, because the mean of its divisors is an integer number (222051657201).

Almost surely, 2444103314401 is an apocalyptic number.

It is an amenable number.

444103314401 is a deficient number, since it is larger than the sum of its proper divisors (1).

444103314401 is an equidigital number, since it uses as much as digits as its factorization.

444103314401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 444103314401 its reverse (104413301444), we get a palindrome (548516615845).

The spelling of 444103314401 in words is "four hundred forty-four billion, one hundred three million, three hundred fourteen thousand, four hundred one".