Search a number
-
+
112404144141 = 3212489349349
BaseRepresentation
bin110100010101111001…
…1110010000000001101
3101202010122020011010200
41220223303302000031
53320200430103031
6123345430524113
711056323314022
oct1505363620015
9352118204120
10112404144141
11437412331a3
121994bb06639
13a7a4606bc3
145624601549
152dcd1db8e6
hex1a2bcf200d

112404144141 has 6 divisors (see below), whose sum is σ = 162361541550. Its totient is φ = 74936096088.

The previous prime is 112404144133. The next prime is 112404144157. The reversal of 112404144141 is 141441404211.

112404144141 is a `hidden beast` number, since 1 + 1 + 240 + 4 + 1 + 4 + 414 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74750294025 + 37653850116 = 273405^2 + 194046^2 .

It is not a de Polignac number, because 112404144141 - 23 = 112404144133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112404144841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6244674666 + ... + 6244674683.

It is an arithmetic number, because the mean of its divisors is an integer number (27060256925).

Almost surely, 2112404144141 is an apocalyptic number.

It is an amenable number.

112404144141 is a deficient number, since it is larger than the sum of its proper divisors (49957397409).

112404144141 is a wasteful number, since it uses less digits than its factorization.

112404144141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12489349355 (or 12489349352 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 112404144141 its reverse (141441404211), we get a palindrome (253845548352).

The spelling of 112404144141 in words is "one hundred twelve billion, four hundred four million, one hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 12489349349 37468048047 112404144141