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30414444201 = 3217202997973
BaseRepresentation
bin11100010100110101…
…111001011010101001
32220111122010211221100
4130110311321122221
5444242044203301
621545555032013
72124461336661
oct342465713251
986448124840
1030414444201
11119981850a9
125a8989b609
132b391c305b
1416874cd1a1
15bd01e2286
hex714d796a9

30414444201 has 24 divisors (see below), whose sum is σ = 46539609480. Its totient is φ = 19073972736.

The previous prime is 30414444191. The next prime is 30414444209. The reversal of 30414444201 is 10244441403.

30414444201 is a `hidden beast` number, since 3 + 0 + 4 + 14 + 444 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27830246976 + 2584197225 = 166824^2 + 50835^2 .

It is not a de Polignac number, because 30414444201 - 211 = 30414442153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30414444209) 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 in 23 ways as a sum of consecutive naturals, for example, 261451 + ... + 359423.

It is an arithmetic number, because the mean of its divisors is an integer number (1939150395).

Almost surely, 230414444201 is an apocalyptic number.

It is an amenable number.

30414444201 is a deficient number, since it is larger than the sum of its proper divisors (16125165279).

30414444201 is a wasteful number, since it uses less digits than its factorization.

30414444201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100025 (or 100022 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 30414444201 its reverse (10244441403), we get a palindrome (40658885604).

The spelling of 30414444201 in words is "thirty billion, four hundred fourteen million, four hundred forty-four thousand, two hundred one".

Divisors: 1 3 9 17 51 153 2029 6087 18261 34493 97973 103479 293919 310437 881757 1665541 4996623 14989869 198787217 596361651 1789084953 3379382689 10138148067 30414444201