Search a number
-
+
3300040431341 = 171741581319181
BaseRepresentation
bin110000000001011001101…
…111001101011011101101
3102200110222111021102120022
4300001121233031123231
5413031440322300331
611004003451131525
7460264035562163
oct60013157153355
912613874242508
103300040431341
1110625a2878705
124536a0a43ba5
131ac266b46784
14b5a19561233
155ac9573c67b
hex30059bcd6ed

3300040431341 has 16 divisors (see below), whose sum is σ = 3496951184688. Its totient is φ = 3103440614400.

The previous prime is 3300040431269. The next prime is 3300040431379. The reversal of 3300040431341 is 1431340400033.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 277355716 + 3299763075625 = 16654^2 + 1816525^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3300040431341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3300040431341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300040433341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172037771 + ... + 172056951.

It is an arithmetic number, because the mean of its divisors is an integer number (218559449043).

Almost surely, 23300040431341 is an apocalyptic number.

It is an amenable number.

3300040431341 is a deficient number, since it is larger than the sum of its proper divisors (196910753347).

3300040431341 is a wasteful number, since it uses less digits than its factorization.

3300040431341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26752.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 3300040431341 its reverse (1431340400033), we get a palindrome (4731380831374).

The spelling of 3300040431341 in words is "three trillion, three hundred billion, forty million, four hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 17 1741 5813 19181 29597 98821 326077 10120433 33394121 111499153 172047361 567700057 1895485601 194120025373 3300040431341