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311424641341405 = 5157754152608313
BaseRepresentation
bin100011011001111010011001…
…1000111110001011111011101
31111211122220102201012110212121
41012303310303013301133131
5311304340131140411110
63022202301041302541
7122411454633550054
oct10663646307613735
91454586381173777
10311424641341405
11902584a3239299
122ab18222334a51
13104a02aa2a5397
1456c9066a3539b
152600d09d89cda
hex11b3d331f17dd

311424641341405 has 16 divisors (see below), whose sum is σ = 376139765170224. Its totient is φ = 247520003627520.

The previous prime is 311424641341379. The next prime is 311424641341433. The reversal of 311424641341405 is 504143146424113.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47666242276 + 311376975099129 = 218326^2 + 17645877^2 .

It is a de Polignac number, because none of the positive numbers 2k-311424641341405 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20384472 + ... + 32223841.

It is an arithmetic number, because the mean of its divisors is an integer number (23508735323139).

Almost surely, 2311424641341405 is an apocalyptic number.

It is an amenable number.

311424641341405 is a deficient number, since it is larger than the sum of its proper divisors (64715123828819).

311424641341405 is a wasteful number, since it uses less digits than its factorization.

311424641341405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52616016.

The product of its (nonzero) digits is 552960, while the sum is 43.

Adding to 311424641341405 its reverse (504143146424113), we get a palindrome (815567787765518).

The spelling of 311424641341405 in words is "three hundred eleven trillion, four hundred twenty-four billion, six hundred forty-one million, three hundred forty-one thousand, four hundred five".

Divisors: 1 5 157 785 7541 37705 1183937 5919685 52608313 263041565 8259505141 41297525705 396719288333 1983596441665 62284928268281 311424641341405