Search a number
-
+
454511331441 = 32172409427249
BaseRepresentation
bin1101001110100101111…
…11001000100001110001
31121110011200020220221100
412213102333020201301
524421314400101231
6544444415115013
744560133400366
oct6472277104161
91543150226840
10454511331441
11165836885542
1274106b12a69
1333b24c2144b
1417dd9b0c46d
15bc523691e6
hex69d2fc8871

454511331441 has 36 divisors (see below), whose sum is σ = 699113447500. Its totient is φ = 284485644288.

The previous prime is 454511331427. The next prime is 454511331499. The reversal of 454511331441 is 144133115454.

454511331441 is a `hidden beast` number, since 45 + 45 + 1 + 133 + 1 + 441 = 666.

454511331441 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 149038463025 + 305472868416 = 386055^2 + 552696^2 .

It is not a de Polignac number, because 454511331441 - 26 = 454511331377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 454511331396 and 454511331405.

It is not an unprimeable number, because it can be changed into a prime (454511335441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 850185 + ... + 1277433.

Almost surely, 2454511331441 is an apocalyptic number.

It is an amenable number.

454511331441 is a deficient number, since it is larger than the sum of its proper divisors (244602116059).

454511331441 is a wasteful number, since it uses less digits than its factorization.

454511331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427698 (or 427678 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 454511331441 its reverse (144133115454), we get a palindrome (598644446895).

The spelling of 454511331441 in words is "four hundred fifty-four billion, five hundred eleven million, three hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 153 289 409 867 1227 2601 3681 6953 20859 62577 118201 354603 427249 1063809 1281747 3845241 7263233 21789699 65369097 123474961 174744841 370424883 524234523 1111274649 1572703569 2970662297 8911986891 26735960673 50501259049 151503777147 454511331441