Search a number
-
+
305445404242261 = 1727314478144013
BaseRepresentation
bin100010101110011010000110…
…0110100010111000101010101
31111001111021222101201120110101
41011130310030310113011111
5310013404141441223021
63001343403115254101
7121223462601022333
oct10534641464270525
91431437871646411
10305445404242261
1189362739827638
122a311447a4a331
13101584bb6b3a4a
14555d8ca59ab53
15254a508b17a91
hex115cd0cd17155

305445404242261 has 12 divisors (see below), whose sum is σ = 328914475710052. Its totient is φ = 283539972331008.

The previous prime is 305445404242247. The next prime is 305445404242273. The reversal of 305445404242261 is 162242404544503.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1134161100900 + 304311243141361 = 1064970^2 + 17444519^2 .

It is not a de Polignac number, because 305445404242261 - 29 = 305445404241749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305445404242061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7239050910 + ... + 7239093103.

Almost surely, 2305445404242261 is an apocalyptic number.

It is an amenable number.

305445404242261 is a deficient number, since it is larger than the sum of its proper divisors (23469071467791).

305445404242261 is a wasteful number, since it uses less digits than its factorization.

305445404242261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14478144120 (or 14478144103 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 46.

Adding to 305445404242261 its reverse (162242404544503), we get a palindrome (467687808786764).

The spelling of 305445404242261 in words is "three hundred five trillion, four hundred forty-five billion, four hundred four million, two hundred forty-two thousand, two hundred sixty-one".

Divisors: 1 17 73 289 1241 21097 14478144013 246128448221 1056904512949 4184183619757 17967376720133 305445404242261