Search a number
-
+
20443342313241 = 324175773186277
BaseRepresentation
bin1001010010111110101100…
…01010000001011100011001
32200101100211200020111222100
410221133112022001130121
510134420431113010431
6111251313010314013
74206661036350111
oct451372612013431
980340750214870
1020443342313241
116571a77862921
122362081b88909
13b53a50280373
1450966a860041
15256ba18c64e6
hex1297d6281719

20443342313241 has 24 divisors (see below), whose sum is σ = 30289458503304. Its totient is φ = 13278917917440.

The previous prime is 20443342313239. The next prime is 20443342313321. The reversal of 20443342313241 is 14231324334402.

20443342313241 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 334 + 2 + 313 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1332639360000 + 19110702953241 = 1154400^2 + 4371579^2 .

It is not a de Polignac number, because 20443342313241 - 21 = 20443342313239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20443342313196 and 20443342313205.

It is not an unprimeable number, because it can be changed into a prime (20443342315241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36313806 + ... + 36872471.

It is an arithmetic number, because the mean of its divisors is an integer number (1262060770971).

Almost surely, 220443342313241 is an apocalyptic number.

It is an amenable number.

20443342313241 is a deficient number, since it is larger than the sum of its proper divisors (9846116190063).

20443342313241 is a wasteful number, since it uses less digits than its factorization.

20443342313241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73187081 (or 73187078 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 20443342313241 its reverse (14231324334402), we get a palindrome (34674666647643).

The spelling of 20443342313241 in words is "twenty trillion, four hundred forty-three billion, three hundred forty-two million, three hundred thirteen thousand, two hundred forty-one".

Divisors: 1 3 9 41 123 369 757 2271 6813 31037 93111 279333 73186277 219558831 658676493 3000637357 9001912071 27005736213 55402011689 166206035067 498618105201 2271482479249 6814447437747 20443342313241