Search a number
-
+
1405430401 is a prime number
BaseRepresentation
bin101001111000101…
…0010101010000001
310121221120021001211
41103301102222001
510334242233101
6351243130121
746553650504
oct12361225201
93557507054
101405430401
11661368731
12332813941
1319523042b
14d492713b
15835b8c51
hex53c52a81

1405430401 has 2 divisors, whose sum is σ = 1405430402. Its totient is φ = 1405430400.

The previous prime is 1405430363. The next prime is 1405430407. The reversal of 1405430401 is 1040345041.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 799532176 + 605898225 = 28276^2 + 24615^2 .

It is an emirp because it is prime and its reverse (1040345041) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1405430401 - 221 = 1403333249 is a prime.

It is a super-2 number, since 2×14054304012 = 3950469224110041602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1405430407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 702715200 + 702715201.

It is an arithmetic number, because the mean of its divisors is an integer number (702715201).

Almost surely, 21405430401 is an apocalyptic number.

It is an amenable number.

1405430401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1405430401 is an equidigital number, since it uses as much as digits as its factorization.

1405430401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1405430401 is about 37489.0704205906. The cubic root of 1405430401 is about 1120.1334877567.

Adding to 1405430401 its reverse (1040345041), we get a palindrome (2445775442).

The spelling of 1405430401 in words is "one billion, four hundred five million, four hundred thirty thousand, four hundred one".