Search a number
-
+
24330332414241 = 3272197280054933
BaseRepresentation
bin1011000100000110110001…
…10100100010000100100001
310012010221211200212112022200
411202003120310202010201
511142112010044223431
6123425111142123413
75060544214151100
oct542033064420441
9105127750775280
1024330332414241
1178304883a2747
12288b46b120569
13107645710ca79
14601846d58037
152c2d4b3dbee6
hex1620d8d22121

24330332414241 has 36 divisors (see below), whose sum is σ = 41089099806612. Its totient is φ = 13832473201344.

The previous prime is 24330332414233. The next prime is 24330332414261. The reversal of 24330332414241 is 14241423303342.

24330332414241 is a `hidden beast` number, since 2 + 4 + 3 + 303 + 324 + 1 + 4 + 24 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16648676717841 + 7681655696400 = 4080279^2 + 2771580^2 .

It is not a de Polignac number, because 24330332414241 - 23 = 24330332414233 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 24330332414196 and 24330332414205.

It is not an unprimeable number, because it can be changed into a prime (24330332414261) 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, 139940590 + ... + 140114343.

It is an arithmetic number, because the mean of its divisors is an integer number (1141363883517).

Almost surely, 224330332414241 is an apocalyptic number.

24330332414241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

24330332414241 is a deficient number, since it is larger than the sum of its proper divisors (16758767392371).

24330332414241 is a wasteful number, since it uses less digits than its factorization.

24330332414241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280055150 (or 280055140 counting only the distinct ones).

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

Adding to 24330332414241 its reverse (14241423303342), we get a palindrome (38571755717583).

The spelling of 24330332414241 in words is "twenty-four trillion, three hundred thirty billion, three hundred thirty-two million, four hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 197 441 591 1379 1773 4137 9653 12411 28959 86877 280054933 840164799 1960384531 2520494397 5881153593 13722691717 17643460779 41168075151 55170821801 123504225453 165512465403 386195752607 496537396209 1158587257821 2703370268249 3475761773463 8110110804747 24330332414241