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404242330049 is a prime number
BaseRepresentation
bin1011110000111101011…
…10000111000111000001
31102122102100021001202222
411320132232013013001
523110342014030144
6505412324020425
741130334053125
oct5703656070701
91378370231688
10404242330049
11146490290798
1266417b31715
132c1735182cc
14157cb797585
15a7ae08a2ee
hex5e1eb871c1

404242330049 has 2 divisors, whose sum is σ = 404242330050. Its totient is φ = 404242330048.

The previous prime is 404242330021. The next prime is 404242330057. The reversal of 404242330049 is 940033242404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306536073649 + 97706256400 = 553657^2 + 312580^2 .

It is a cyclic number.

It is not a de Polignac number, because 404242330049 - 232 = 399947362753 is a prime.

It is a super-2 number, since 2×4042423300492 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (404242330069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202121165024 + 202121165025.

It is an arithmetic number, because the mean of its divisors is an integer number (202121165025).

Almost surely, 2404242330049 is an apocalyptic number.

It is an amenable number.

404242330049 is a deficient number, since it is larger than the sum of its proper divisors (1).

404242330049 is an equidigital number, since it uses as much as digits as its factorization.

404242330049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 404242330049 in words is "four hundred four billion, two hundred forty-two million, three hundred thirty thousand, forty-nine".