Search a number
-
+
3040440132441 = 341311702711311
BaseRepresentation
bin101100001111101000010…
…110101010001101011001
3101202122220111111212011010
4230033220112222031121
5344303310133214231
610244431531524133
7432443640465615
oct54175026521531
911678814455133
103040440132441
11a72497210838
124113112b9649
13190934b3595a
14a722db14345
155414ebba546
hex2c3e85aa359

3040440132441 has 32 divisors (see below), whose sum is σ = 4167110578176. Its totient is φ = 1970708688000.

The previous prime is 3040440132391. The next prime is 3040440132461. The reversal of 3040440132441 is 1442310440403.

3040440132441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3040440132441 - 29 = 3040440131929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3040440132399 and 3040440132408.

It is not an unprimeable number, because it can be changed into a prime (3040440132461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268798176 + ... + 268809486.

It is an arithmetic number, because the mean of its divisors is an integer number (130222205568).

Almost surely, 23040440132441 is an apocalyptic number.

It is an amenable number.

3040440132441 is a deficient number, since it is larger than the sum of its proper divisors (1126670445735).

3040440132441 is a wasteful number, since it uses less digits than its factorization.

3040440132441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18693.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3040440132441 its reverse (1442310440403), we get a palindrome (4482750572844).

The spelling of 3040440132441 in words is "three trillion, forty billion, four hundred forty million, one hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 41 123 311 933 7027 11311 12751 21081 33933 38253 288107 463751 864321 1391253 2185397 3517721 6556191 10553163 79482397 89601277 144226561 238447191 268803831 432679683 3258778277 9776334831 24719025467 74157076401 1013480044147 3040440132441