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1424332334241 = 323711489372293
BaseRepresentation
bin10100101110100000110…
…100101010010010100001
312001011110011120110001100
4110232200310222102201
5141314013034143431
63010155041025013
7204622166040015
oct24564064522241
95034404513040
101424332334241
114aa06851a133
121b0066025169
13a4410a1259b
144cd1c034545
15270b43ea4e6
hex14ba0d2a4a1

1424332334241 has 24 divisors (see below), whose sum is σ = 2113163081640. Its totient is φ = 923808347136.

The previous prime is 1424332334171. The next prime is 1424332334251.

1424332334241 is a `hidden beast` number, since 1 + 4 + 243 + 32 + 3 + 342 + 41 = 666.

1424332334241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 683176637025 + 741155697216 = 826545^2 + 860904^2 .

It is not a de Polignac number, because 1424332334241 - 214 = 1424332317857 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1424332334196 and 1424332334205.

It is not an unprimeable number, because it can be changed into a prime (1424332334251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3639691 + ... + 4011983.

It is an arithmetic number, because the mean of its divisors is an integer number (88048461735).

Almost surely, 21424332334241 is an apocalyptic number.

It is an amenable number.

1424332334241 is a deficient number, since it is larger than the sum of its proper divisors (688830747399).

1424332334241 is a wasteful number, since it uses less digits than its factorization.

1424332334241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383825 (or 383822 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 1424332334241 in words is "one trillion, four hundred twenty-four billion, three hundred thirty-two million, three hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 3 9 37 111 333 11489 34467 103401 372293 425093 1116879 1275279 3350637 3825837 13774841 41324523 123973569 4277274277 12831822831 38495468493 158259148249 474777444747 1424332334241