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430342200441 = 32113461917893
BaseRepresentation
bin1100100001100100110…
…01001101110001111001
31112010210021202212010100
412100302121031301321
524022320100403231
6525410234510013
743043165230536
oct6206231156171
91463707685110
10430342200441
11156563a5370a
126b4a0895309
13317728884ba
1416b85c47d8d
15b2da5ba1e6
hex643264dc79

430342200441 has 24 divisors (see below), whose sum is σ = 628467335496. Its totient is φ = 283738775040.

The previous prime is 430342200433. The next prime is 430342200461. The reversal of 430342200441 is 144002243034.

It is a happy number.

430342200441 is a `hidden beast` number, since 430 + 3 + 4 + 220 + 0 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5388147216 + 424954053225 = 73404^2 + 651885^2 .

It is not a de Polignac number, because 430342200441 - 23 = 430342200433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (430342200461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9891 + ... + 927783.

It is an arithmetic number, because the mean of its divisors is an integer number (26186138979).

Almost surely, 2430342200441 is an apocalyptic number.

It is an amenable number.

430342200441 is a deficient number, since it is larger than the sum of its proper divisors (198125135055).

430342200441 is a wasteful number, since it uses less digits than its factorization.

430342200441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918473 (or 918470 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 430342200441 its reverse (144002243034), we get a palindrome (574344443475).

The spelling of 430342200441 in words is "four hundred thirty billion, three hundred forty-two million, two hundred thousand, four hundred forty-one".

Divisors: 1 3 9 113 339 461 1017 1383 4149 52093 156279 468837 917893 2753679 8261037 103721909 311165727 423148673 933497181 1269446019 3808338057 47815800049 143447400147 430342200441