Search a number
-
+
12304440315261 = 323736950271217
BaseRepresentation
bin1011001100001101100111…
…0010110100110101111101
31121120021220121020111222100
42303003121302310311331
53103043443210042021
642100325402335313
72406652334003403
oct263033162646575
947507817214870
1012304440315261
113a14313866736
1214688241ba539
136b33c4428673
14307776731473
1516510032d626
hexb30d9cb4d7d

12304440315261 has 12 divisors (see below), whose sum is σ = 18253433981692. Its totient is φ = 7981258582656.

The previous prime is 12304440315247. The next prime is 12304440315269. The reversal of 12304440315261 is 16251304440321.

12304440315261 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 4 + 440 + 3 + 152 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9572180083236 + 2732260232025 = 3093894^2 + 1652955^2 .

It is not a de Polignac number, because 12304440315261 - 214 = 12304440298877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304440315269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18475135276 + ... + 18475135941.

Almost surely, 212304440315261 is an apocalyptic number.

It is an amenable number.

12304440315261 is a deficient number, since it is larger than the sum of its proper divisors (5948993666431).

12304440315261 is a wasteful number, since it uses less digits than its factorization.

12304440315261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36950271260 (or 36950271257 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12304440315261 its reverse (16251304440321), we get a palindrome (28555744755582).

The spelling of 12304440315261 in words is "twelve trillion, three hundred four billion, four hundred forty million, three hundred fifteen thousand, two hundred sixty-one".

Divisors: 1 3 9 37 111 333 36950271217 110850813651 332552440953 1367160035029 4101480105087 12304440315261