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451230144660441 = 32411222845920489
BaseRepresentation
bin110011010011001000011010…
…0011111000000001111011001
32012011200011212121121220110100
41212212100310133000033121
5433120423314013113231
64235404133341410013
7164021205426426066
oct14646206437001731
92164604777556410
10451230144660441
111208596a212a393
1242737512569909
13164a1a878a01c3
147d5d926abdc6d
1537277e912a1e6
hex19a64347c03d9

451230144660441 has 12 divisors (see below), whose sum is σ = 667673872587540. Its totient is φ = 293483020917120.

The previous prime is 451230144660401. The next prime is 451230144660443. The reversal of 451230144660441 is 144066441032154.

It is a happy number.

451230144660441 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 3 + 0 + 144 + 6 + 60 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 271804682250000 + 179425462410441 = 16486500^2 + 13394979^2 .

It is not a de Polignac number, because 451230144660441 - 26 = 451230144660377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (451230144660443) 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 11 ways as a sum of consecutive naturals, for example, 611422959876 + ... + 611422960613.

It is an arithmetic number, because the mean of its divisors is an integer number (55639489382295).

Almost surely, 2451230144660441 is an apocalyptic number.

451230144660441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

451230144660441 is a deficient number, since it is larger than the sum of its proper divisors (216443727927099).

451230144660441 is a wasteful number, since it uses less digits than its factorization.

451230144660441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222845920536 (or 1222845920533 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 451230144660441 its reverse (144066441032154), we get a palindrome (595296585692595).

The spelling of 451230144660441 in words is "four hundred fifty-one trillion, two hundred thirty billion, one hundred forty-four million, six hundred sixty thousand, four hundred forty-one".

Divisors: 1 3 9 41 123 369 1222845920489 3668537761467 11005613284401 50136682740049 150410048220147 451230144660441