Search a number
-
+
4440004310321 is a prime number
BaseRepresentation
bin100000010011100010011…
…1000010011010100110001
3120201110102112102121001222
41000213010320103110301
51040221112100412241
613235413153234425
7635531305636346
oct100470470232461
916643375377058
104440004310321
111461aa4756458
125b8604562a15
132628c93681c8
14114c7c4b27cd
157a76493ca4b
hex409c4e13531

4440004310321 has 2 divisors, whose sum is σ = 4440004310322. Its totient is φ = 4440004310320.

The previous prime is 4440004310263. The next prime is 4440004310459. The reversal of 4440004310321 is 1230134000444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4397677420096 + 42326890225 = 2097064^2 + 205735^2 .

It is a cyclic number.

It is not a de Polignac number, because 4440004310321 - 26 = 4440004310257 is a prime.

It is not a weakly prime, because it can be changed into another prime (4440004312321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2220002155160 + 2220002155161.

It is an arithmetic number, because the mean of its divisors is an integer number (2220002155161).

Almost surely, 24440004310321 is an apocalyptic number.

It is an amenable number.

4440004310321 is a deficient number, since it is larger than the sum of its proper divisors (1).

4440004310321 is an equidigital number, since it uses as much as digits as its factorization.

4440004310321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4440004310321 its reverse (1230134000444), we get a palindrome (5670138310765).

The spelling of 4440004310321 in words is "four trillion, four hundred forty billion, four million, three hundred ten thousand, three hundred twenty-one".