Search a number
-
+
404213304111431 is a prime number
BaseRepresentation
bin101101111101000010011111…
…0011001111011000101000111
31222000012102012011021101111012
41123322010332121323011013
5410440112321323031211
63551405010044232435
7151066306330652363
oct13372047631730507
91860172164241435
10404213304111431
11107881999396281
12394032b583b71b
13144711c6a44629
1471b60579582a3
1531ae7b0531d8b
hex16fa13e67b147

404213304111431 has 2 divisors, whose sum is σ = 404213304111432. Its totient is φ = 404213304111430.

The previous prime is 404213304111389. The next prime is 404213304111433. The reversal of 404213304111431 is 134111403312404.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404213304111431 is a prime.

It is a super-2 number, since 2×4042133041114312 (a number of 30 digits) contains 22 as substring.

Together with 404213304111433, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404213304111433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202106652055715 + 202106652055716.

It is an arithmetic number, because the mean of its divisors is an integer number (202106652055716).

Almost surely, 2404213304111431 is an apocalyptic number.

404213304111431 is a deficient number, since it is larger than the sum of its proper divisors (1).

404213304111431 is an equidigital number, since it uses as much as digits as its factorization.

404213304111431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 404213304111431 its reverse (134111403312404), we get a palindrome (538324707423835).

The spelling of 404213304111431 in words is "four hundred four trillion, two hundred thirteen billion, three hundred four million, one hundred eleven thousand, four hundred thirty-one".