Search a number
-
+
332122540255461 = 32137269361346517
BaseRepresentation
bin100101110000100000100111…
…0000010001010100011100101
31121112221121022212121011012100
41023201001032002022203211
5322012443430301133321
63134210553315242313
7126646030105516344
oct11341011602124345
91545847285534170
10332122540255461
1196908418614a5a
12312bb6a68a9399
1311342037647b17
145c02b61107b5b
15285e4095e9326
hex12e104e08a8e5

332122540255461 has 12 divisors (see below), whose sum is σ = 483234255653292. Its totient is φ = 219798858757056.

The previous prime is 332122540255421. The next prime is 332122540255481. The reversal of 332122540255461 is 164552045221233.

332122540255461 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 22 + 540 + 25 + 5 + 4 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97517718511236 + 234604821744225 = 9875106^2 + 15316815^2 .

It is a de Polignac number, because none of the positive numbers 2k-332122540255461 is a prime.

It is a super-2 number, since 2×3321225402554612 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332122540255421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134680672026 + ... + 134680674491.

It is an arithmetic number, because the mean of its divisors is an integer number (40269521304441).

Almost surely, 2332122540255461 is an apocalyptic number.

It is an amenable number.

332122540255461 is a deficient number, since it is larger than the sum of its proper divisors (151111715397831).

332122540255461 is a wasteful number, since it uses less digits than its factorization.

332122540255461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269361346660 (or 269361346657 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 332122540255461 its reverse (164552045221233), we get a palindrome (496674585476694).

The spelling of 332122540255461 in words is "three hundred thirty-two trillion, one hundred twenty-two billion, five hundred forty million, two hundred fifty-five thousand, four hundred sixty-one".

Divisors: 1 3 9 137 411 1233 269361346517 808084039551 2424252118653 36902504472829 110707513418487 332122540255461