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430114300561 = 112596212
BaseRepresentation
bin1100100001001001100…
…11110110001010010001
31112010012101221100021001
412100210303312022101
524021333230104221
6525331454102001
743034430142441
oct6204463661221
91463171840231
10430114300561
11156457345100
126b4384aa901
13317375b30ba
1416b63882121
15b2c559e391
hex6424cf6291

430114300561 has 9 divisors (see below), whose sum is σ = 472778193979. Its totient is φ = 391006442200.

The previous prime is 430114300547. The next prime is 430114300571. The reversal of 430114300561 is 165003411034.

The square root of 430114300561 is 655831.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 360997890561 + 69116410000 = 600831^2 + 262900^2 .

It is not a de Polignac number, because 430114300561 - 225 = 430080746129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (430114300571) 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 8 ways as a sum of consecutive naturals, for example, 7184331 + ... + 7243951.

Almost surely, 2430114300561 is an apocalyptic number.

430114300561 is the 655831-st square number.

430114300561 is the 327916-th centered octagonal number.

It is an amenable number.

430114300561 is a deficient number, since it is larger than the sum of its proper divisors (42663893418).

430114300561 is an frugal number, since it uses more digits than its factorization.

430114300561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119264 (or 59632 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 430114300561 its reverse (165003411034), we get a palindrome (595117711595).

The spelling of 430114300561 in words is "four hundred thirty billion, one hundred fourteen million, three hundred thousand, five hundred sixty-one".

Divisors: 1 11 121 59621 655831 7214141 3554663641 39101300051 430114300561