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4034321413 is a prime number
BaseRepresentation
bin1111000001110110…
…1101110000000101
3101102011021202120121
43300131231300011
531230241241123
61504153301541
7201655111003
oct36035556005
911364252517
104034321413
1117902a6431
129471048b1
134c3a7a645
142a3b29a73
151892a475d
hexf076dc05

4034321413 has 2 divisors, whose sum is σ = 4034321414. Its totient is φ = 4034321412.

The previous prime is 4034321387. The next prime is 4034321419. The reversal of 4034321413 is 3141234304.

4034321413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3908500324 + 125821089 = 62518^2 + 11217^2 .

It is a cyclic number.

It is not a de Polignac number, because 4034321413 - 229 = 3497450501 is a prime.

It is a super-3 number, since 3×40343214133 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4034321419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2017160706 + 2017160707.

It is an arithmetic number, because the mean of its divisors is an integer number (2017160707).

Almost surely, 24034321413 is an apocalyptic number.

It is an amenable number.

4034321413 is a deficient number, since it is larger than the sum of its proper divisors (1).

4034321413 is an equidigital number, since it uses as much as digits as its factorization.

4034321413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 4034321413 is about 63516.3082444186. The cubic root of 4034321413 is about 1591.9282820661.

Adding to 4034321413 its reverse (3141234304), we get a palindrome (7175555717).

The spelling of 4034321413 in words is "four billion, thirty-four million, three hundred twenty-one thousand, four hundred thirteen".