Search a number
-
+
44768000441 is a prime number
BaseRepresentation
bin101001101100011000…
…010111100110111001
311021112221220001111102
4221230120113212321
51213141102003231
632322141341145
73143251503503
oct515430274671
9137487801442
1044768000441
1117a9340737a
1288148677b5
1342b5b319b8
14224991ad73
1512703b2acb
hexa6c6179b9

44768000441 has 2 divisors, whose sum is σ = 44768000442. Its totient is φ = 44768000440.

The previous prime is 44768000399. The next prime is 44768000489. The reversal of 44768000441 is 14400086744.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29436608041 + 15331392400 = 171571^2 + 123820^2 .

It is a cyclic number.

It is not a de Polignac number, because 44768000441 - 210 = 44767999417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44768000395 and 44768000404.

It is not a weakly prime, because it can be changed into another prime (44768090441) 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, 22384000220 + 22384000221.

It is an arithmetic number, because the mean of its divisors is an integer number (22384000221).

Almost surely, 244768000441 is an apocalyptic number.

It is an amenable number.

44768000441 is a deficient number, since it is larger than the sum of its proper divisors (1).

44768000441 is an equidigital number, since it uses as much as digits as its factorization.

44768000441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 44768000441 in words is "forty-four billion, seven hundred sixty-eight million, four hundred forty-one", and thus it is an aban number.