Search a number
-
+
444131410415053 is a prime number
BaseRepresentation
bin110010011111011110110011…
…0111100111000110111001101
32011020112112210121202120201211
41210332331212330320313031
5431203122112031240203
64212331053034334421
7162356302244061004
oct14476754674706715
92136475717676654
10444131410415053
11119572089774139
124198b78688a411
13160a8548a6c98a
147b96109991c3b
153652d258b9c6d
hex193ef66f38dcd

444131410415053 has 2 divisors, whose sum is σ = 444131410415054. Its totient is φ = 444131410415052.

The previous prime is 444131410414963. The next prime is 444131410415057. The reversal of 444131410415053 is 350514014131444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 421079716131529 + 23051694283524 = 20520227^2 + 4801218^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444131410415053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444131410414997 and 444131410415015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444131410415057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222065705207526 + 222065705207527.

It is an arithmetic number, because the mean of its divisors is an integer number (222065705207527).

Almost surely, 2444131410415053 is an apocalyptic number.

It is an amenable number.

444131410415053 is a deficient number, since it is larger than the sum of its proper divisors (1).

444131410415053 is an equidigital number, since it uses as much as digits as its factorization.

444131410415053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 444131410415053 its reverse (350514014131444), we get a palindrome (794645424546497).

The spelling of 444131410415053 in words is "four hundred forty-four trillion, one hundred thirty-one billion, four hundred ten million, four hundred fifteen thousand, fifty-three".