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1332426242331 = 323724733161779
BaseRepresentation
bin10011011000111010110…
…010101111100100011011
311201101020002001020101100
4103120322302233210123
5133312302104223311
62500035210322443
7165156523122132
oct23307262574433
94641202036340
101332426242331
11474095971a78
12196296a29423
1398855035992
14486bdd24919
15249d5a5aa56
hex1363acaf91b

1332426242331 has 24 divisors (see below), whose sum is σ = 1976724460880. Its totient is φ = 864236195136.

The previous prime is 1332426242317. The next prime is 1332426242377.

1332426242331 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 4 + 2 + 624 + 23 + 3 + 1 = 666.

1332426242331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1332426242331 - 29 = 1332426241819 is a prime.

It is a super-2 number, since 2×13324262423312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1332426242431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8155200 + ... + 8316978.

Almost surely, 21332426242331 is an apocalyptic number.

1332426242331 is a deficient number, since it is larger than the sum of its proper divisors (644298218549).

1332426242331 is a wasteful number, since it uses less digits than its factorization.

1332426242331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186555 (or 186552 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 1332426242331 in words is "one trillion, three hundred thirty-two billion, four hundred twenty-six million, two hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 37 111 333 24733 74199 161779 222597 485337 915121 1456011 2745363 5985823 8236089 17957469 53872407 4001280007 12003840021 36011520063 148047360259 444142080777 1332426242331