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30074843241 = 3821412
BaseRepresentation
bin11100000000100110…
…011011000001101001
32212121222010100000000
4130000212123001221
5443043124440431
621452144133213
72113165643502
oct340046330151
985558110000
1030074843241
1111833512953
1259b4007209
132ab3a3b241
14165436bba9
15bb04ae9e6
hex70099b069

30074843241 has 27 divisors (see below), whose sum is σ = 45131052343. Its totient is φ = 20040530760.

The previous prime is 30074843233. The next prime is 30074843251. The reversal of 30074843241 is 14234847003.

The square root of 30074843241 is 173421.

It is a perfect power (a square), and thus also a powerful number.

30074843241 is a `hidden beast` number, since 300 + 74 + 8 + 43 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28686535641 + 1388307600 = 169371^2 + 37260^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 30074843241 - 23 = 30074843233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30074843196 and 30074843205.

It is not an unprimeable number, because it can be changed into a prime (30074843231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14046031 + ... + 14048171.

Almost surely, 230074843241 is an apocalyptic number.

30074843241 is the 173421-st square number.

30074843241 is the 86711-st centered octagonal number.

It is an amenable number.

30074843241 is a deficient number, since it is larger than the sum of its proper divisors (15056209102).

30074843241 is an frugal number, since it uses more digits than its factorization.

30074843241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Multiplying 30074843241 by its sum of digits (36), we get a square (1082694356676 = 10405262).

The spelling of 30074843241 in words is "thirty billion, seventy-four million, eight hundred forty-three thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 243 729 2141 2187 6423 6561 19269 57807 173421 520263 1560789 4583881 4682367 13751643 14047101 41254929 123764787 371294361 1113883083 3341649249 10024947747 30074843241