Search a number
-
+
433412381665409 is a prime number
BaseRepresentation
bin110001010001011111010111…
…1000011001110100010000001
32002211120211010002002021221012
41202202332233003032202001
5423302012024201243114
64133442522140010305
7160202003566033556
oct14242765703164201
92084524102067835
10433412381665409
1111610a18245a253
124073a281830995
13157ab7c6081c63
1479053b225ca2d
1535190b605663e
hex18a2faf0ce881

433412381665409 has 2 divisors, whose sum is σ = 433412381665410. Its totient is φ = 433412381665408.

The previous prime is 433412381665387. The next prime is 433412381665421. The reversal of 433412381665409 is 904566183214334.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 334129152640000 + 99283229025409 = 18279200^2 + 9964097^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-433412381665409 is a prime.

It is not a weakly prime, because it can be changed into another prime (433412381667409) 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 as a sum of consecutive naturals, namely, 216706190832704 + 216706190832705.

It is an arithmetic number, because the mean of its divisors is an integer number (216706190832705).

Almost surely, 2433412381665409 is an apocalyptic number.

It is an amenable number.

433412381665409 is a deficient number, since it is larger than the sum of its proper divisors (1).

433412381665409 is an equidigital number, since it uses as much as digits as its factorization.

433412381665409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44789760, while the sum is 59.

The spelling of 433412381665409 in words is "four hundred thirty-three trillion, four hundred twelve billion, three hundred eighty-one million, six hundred sixty-five thousand, four hundred nine".