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240305113222321 = 724904185984129
BaseRepresentation
bin110110101000111001100100…
…111010010100110010110001
31011111211221111111220201000111
4312220321210322110302301
5222444124332441103241
62211030351153021321
7101421320503103500
oct6650714472246261
91144757444821014
10240305113222321
116a62890a744294
1222b508a8254841
13a4118a0b06a84
14434ab88376837
151cbad4a2d8c81
hexda8e64e94cb1

240305113222321 has 6 divisors (see below), whose sum is σ = 279538601095410. Its totient is φ = 205975811333376.

The previous prime is 240305113222283. The next prime is 240305113222331. The reversal of 240305113222321 is 123222311503042.

It is a happy number.

240305113222321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 144919125991696 + 95385987230625 = 12038236^2 + 9766575^2 .

It is not a de Polignac number, because 240305113222321 - 29 = 240305113221809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240305113222331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2452092992016 + ... + 2452092992113.

It is an arithmetic number, because the mean of its divisors is an integer number (46589766849235).

Almost surely, 2240305113222321 is an apocalyptic number.

It is an amenable number.

240305113222321 is a deficient number, since it is larger than the sum of its proper divisors (39233487873089).

240305113222321 is an equidigital number, since it uses as much as digits as its factorization.

240305113222321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904185984143 (or 4904185984136 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 240305113222321 its reverse (123222311503042), we get a palindrome (363527424725363).

The spelling of 240305113222321 in words is "two hundred forty trillion, three hundred five billion, one hundred thirteen million, two hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 7 49 4904185984129 34329301888903 240305113222321