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241335405081 = 321637532
BaseRepresentation
bin1110000011000010110…
…1100000101000011001
3212001221002010211101100
43200300231200220121
512423223330430311
6302511251142013
723302342045041
oct3406055405031
9761832124340
10241335405081
11933935a9901
123a9328a4909
13199b0c54954
14b975b88721
1564272e1a56
hex3830b60a19

241335405081 has 9 divisors (see below), whose sum is σ = 348597713919. Its totient is φ = 160889287536.

The previous prime is 241335405061. The next prime is 241335405097. The reversal of 241335405081 is 180504533142.

The square root of 241335405081 is 491259.

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

241335405081 is a `hidden beast` number, since 2 + 4 + 1 + 33 + 540 + 5 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23791520025 + 217543885056 = 154245^2 + 466416^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 241335405081 - 219 = 241334880793 is a prime.

It is a super-2 number, since 2×2413354050812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241335405001) 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, 1391901 + ... + 1555653.

Almost surely, 2241335405081 is an apocalyptic number.

241335405081 is the 491259-th square number.

241335405081 is the 245630-th centered octagonal number.

It is an amenable number.

241335405081 is a deficient number, since it is larger than the sum of its proper divisors (107262308838).

241335405081 is an frugal number, since it uses more digits than its factorization.

241335405081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327512 (or 163756 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 241335405081 by its sum of digits (36), we get a square (8688074582916 = 29475542).

It can be divided in two parts, 241335 and 405081, that added together give a square (646416 = 8042).

The spelling of 241335405081 in words is "two hundred forty-one billion, three hundred thirty-five million, four hundred five thousand, eighty-one".

Divisors: 1 3 9 163753 491259 1473777 26815045009 80445135027 241335405081