Search a number
-
+
1304623532241 = 3475492133589
BaseRepresentation
bin10010111111000001100…
…111110100100011010001
311121201110110100020010000
4102333001213310203101
5132333332111012431
62435200310000213
7163153534024251
oct22770147644321
94551413306100
101304623532241
11463318a77417
12190a17946069
1396043c63833
144720364d961
1523e09cb59e6
hex12fc19f48d1

1304623532241 has 20 divisors (see below), whose sum is σ = 1949141144500. Its totient is φ = 869633400096.

The previous prime is 1304623532231. The next prime is 1304623532299. The reversal of 1304623532241 is 1422353264031.

1304623532241 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 62 + 353 + 2 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 964039241025 + 340584291216 = 981855^2 + 583596^2 .

It is not a de Polignac number, because 1304623532241 - 211 = 1304623530193 is a prime.

It is a super-3 number, since 3×13046235322413 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1304623532196 and 1304623532205.

It is not an unprimeable number, because it can be changed into a prime (1304623532231) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455326 + ... + 1678263.

It is an arithmetic number, because the mean of its divisors is an integer number (97457057225).

Almost surely, 21304623532241 is an apocalyptic number.

It is an amenable number.

1304623532241 is a deficient number, since it is larger than the sum of its proper divisors (644517612259).

1304623532241 is an equidigital number, since it uses as much as digits as its factorization.

1304623532241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141150 (or 2141141 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 1304623532241 its reverse (1422353264031), we get a palindrome (2726976796272).

The spelling of 1304623532241 in words is "one trillion, three hundred four billion, six hundred twenty-three million, five hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 7549 22647 67941 203823 611469 2133589 6400767 19202301 57606903 172820709 16106463361 48319390083 144958170249 434874510747 1304623532241