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30444083141 is a prime number
BaseRepresentation
bin11100010110100110…
…111101011111000101
32220120200220122220212
4130112212331133011
5444322141130031
621552534205205
72125301302613
oct342646753705
986520818825
1030444083141
1111a0298929a
125a977b3805
132b4239c8a4
14168b4066b3
15bd2ae912b
hex7169bd7c5

30444083141 has 2 divisors, whose sum is σ = 30444083142. Its totient is φ = 30444083140.

The previous prime is 30444083129. The next prime is 30444083149. The reversal of 30444083141 is 14138044403.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27637732516 + 2806350625 = 166246^2 + 52975^2 .

It is a cyclic number.

It is not a de Polignac number, because 30444083141 - 210 = 30444082117 is a prime.

It is a super-2 number, since 2×304440831412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30444083098 and 30444083107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30444083149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15222041570 + 15222041571.

It is an arithmetic number, because the mean of its divisors is an integer number (15222041571).

Almost surely, 230444083141 is an apocalyptic number.

It is an amenable number.

30444083141 is a deficient number, since it is larger than the sum of its proper divisors (1).

30444083141 is an equidigital number, since it uses as much as digits as its factorization.

30444083141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 30444083141 in words is "thirty billion, four hundred forty-four million, eighty-three thousand, one hundred forty-one".