Search a number
-
+
444620626481 is a prime number
BaseRepresentation
bin1100111100001010111…
…01000101101000110001
31120111122101011001102102
412132011131011220301
524241040340021411
6540131135030145
744060053653023
oct6360535055061
91514571131372
10444620626481
11161620830509
127220666b355
1332c09a804c5
141773c2ba013
15b873d99d3b
hex6785745a31

444620626481 has 2 divisors, whose sum is σ = 444620626482. Its totient is φ = 444620626480.

The previous prime is 444620626423. The next prime is 444620626519. The reversal of 444620626481 is 184626026444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405291390625 + 39329235856 = 636625^2 + 198316^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444620626481 is a prime.

It is a super-2 number, since 2×4446206264812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (444620626081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222310313240 + 222310313241.

It is an arithmetic number, because the mean of its divisors is an integer number (222310313241).

Almost surely, 2444620626481 is an apocalyptic number.

It is an amenable number.

444620626481 is a deficient number, since it is larger than the sum of its proper divisors (1).

444620626481 is an equidigital number, since it uses as much as digits as its factorization.

444620626481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1769472, while the sum is 47.

The spelling of 444620626481 in words is "four hundred forty-four billion, six hundred twenty million, six hundred twenty-six thousand, four hundred eighty-one".