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461144133 = 3251238237
BaseRepresentation
bin11011011111001…
…000000001000101
31012010201112211100
4123133020001011
51421023103013
6113431530313
714266442352
oct3337100105
91163645740
10461144133
1121733845a
1210a529999
13746cc268
144535d629
152a740473
hex1b7c8045

461144133 has 6 divisors (see below), whose sum is σ = 666097094. Its totient is φ = 307429416.

The previous prime is 461144113. The next prime is 461144137. The reversal of 461144133 is 331441164.

461144133 is a `hidden beast` number, since 4 + 611 + 4 + 41 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 442765764 + 18378369 = 21042^2 + 4287^2 .

It is not a de Polignac number, because 461144133 - 26 = 461144069 is a prime.

It is a super-2 number, since 2×4611441332 = 425307822800643378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 461144097 and 461144106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461144137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25619110 + ... + 25619127.

Almost surely, 2461144133 is an apocalyptic number.

It is an amenable number.

461144133 is a deficient number, since it is larger than the sum of its proper divisors (204952961).

461144133 is a wasteful number, since it uses less digits than its factorization.

461144133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51238243 (or 51238240 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 461144133 is about 21474.2667628024. The cubic root of 461144133 is about 772.5837380555.

Adding to 461144133 its reverse (331441164), we get a palindrome (792585297).

The spelling of 461144133 in words is "four hundred sixty-one million, one hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 51238237 153714711 461144133