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314142343241413 = 10124411274199193
BaseRepresentation
bin100011101101101011111011…
…0110001110001111011000101
31112012021201022000210102021211
41013123113312301301323011
5312133402004332211123
63032043000013011421
7123112015054546441
oct10733276661617305
91465251260712254
10314142343241413
11911060240a41a5
122b296a83183b71
131063965a522c1b
1457807db7b9821
15264b86b04240d
hex11db5f6c71ec5

314142343241413 has 8 divisors (see below), whose sum is σ = 317382632038296. Its totient is φ = 310904602848000.

The previous prime is 314142343241411. The next prime is 314142343241429.

314142343241413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 53362703580484 + 260779639660929 = 7304978^2 + 16148673^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314142343241413 - 21 = 314142343241411 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314142343241411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 636853056 + ... + 637346137.

It is an arithmetic number, because the mean of its divisors is an integer number (39672829004787).

Almost surely, 2314142343241413 is an apocalyptic number.

It is an amenable number.

314142343241413 is a deficient number, since it is larger than the sum of its proper divisors (3240288796883).

314142343241413 is a wasteful number, since it uses less digits than its factorization.

314142343241413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274201735.

The product of its digits is 331776, while the sum is 40.

The spelling of 314142343241413 in words is "three hundred fourteen trillion, one hundred forty-two billion, three hundred forty-three million, two hundred forty-one thousand, four hundred thirteen".

Divisors: 1 101 2441 246541 1274199193 128694118493 3110320230113 314142343241413