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1404313013 is a prime number
BaseRepresentation
bin101001110110100…
…0001110110110101
310121212110111022002
41103231001312311
510334001004023
6351203145045
746541315015
oct12355016665
93555414262
101404313013
11660775174
12332375185
13194c2b95c
14d4715c45
1583447b28
hex53b41db5

1404313013 has 2 divisors, whose sum is σ = 1404313014. Its totient is φ = 1404313012.

The previous prime is 1404313003. The next prime is 1404313063. The reversal of 1404313013 is 3103134041.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1065826609 + 338486404 = 32647^2 + 18398^2 .

It is a cyclic number.

It is not a de Polignac number, because 1404313013 - 24 = 1404312997 is a prime.

It is a super-3 number, since 3×14043130133 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1404313003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 702156506 + 702156507.

It is an arithmetic number, because the mean of its divisors is an integer number (702156507).

Almost surely, 21404313013 is an apocalyptic number.

It is an amenable number.

1404313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1404313013 is an equidigital number, since it uses as much as digits as its factorization.

1404313013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1404313013 is about 37474.1646070996. The cubic root of 1404313013 is about 1119.8365548587.

Adding to 1404313013 its reverse (3103134041), we get a palindrome (4507447054).

The spelling of 1404313013 in words is "one billion, four hundred four million, three hundred thirteen thousand, thirteen".