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330141027241 = 192302412
BaseRepresentation
bin1001100110111011111…
…00000100101110101001
31011120011002120212010101
410303131330010232221
520402112100332431
6411355323545401
732565126300334
oct4633574045651
91146132525111
10330141027241
11118015004173
1253b9768b261
13251944a077c
1411d9c1bb61b
1588c3893961
hex4cddf04ba9

330141027241 has 9 divisors (see below), whose sum is σ = 348442911063. Its totient is φ = 312754841280.

The previous prime is 330141027239. The next prime is 330141027323. The reversal of 330141027241 is 142720141033.

The square root of 330141027241 is 574579.

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

It can be written as a sum of positive squares in only one way, i.e., 50342345641 + 279798681600 = 224371^2 + 528960^2 .

It is not a de Polignac number, because 330141027241 - 21 = 330141027239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330141027211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10901881 + ... + 10932121.

It is an arithmetic number, because the mean of its divisors is an integer number (38715879007).

Almost surely, 2330141027241 is an apocalyptic number.

330141027241 is the 574579-th square number.

330141027241 is the 287290-th centered octagonal number.

It is an amenable number.

330141027241 is a deficient number, since it is larger than the sum of its proper divisors (18301883822).

330141027241 is an frugal number, since it uses more digits than its factorization.

330141027241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60520 (or 30260 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 330141027241 its reverse (142720141033), we get a palindrome (472861168274).

The spelling of 330141027241 in words is "three hundred thirty billion, one hundred forty-one million, twenty-seven thousand, two hundred forty-one".

Divisors: 1 19 361 30241 574579 10917001 914518081 17375843539 330141027241