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243601858834441 is a prime number
BaseRepresentation
bin110111011000110111111010…
…010000110011000000001001
31011221112002222101101222022021
4313120313322100303000021
5223412133101330200231
62222033052104524441
7102211440103332022
oct6730677220630011
91157462871358267
10243601858834441
1170689a716964a8
12233a3809780721
13a5c0731163373
1444225700a9c49
151d2699b648811
hexdd8dfa433009

243601858834441 has 2 divisors, whose sum is σ = 243601858834442. Its totient is φ = 243601858834440.

The previous prime is 243601858834429. The next prime is 243601858834459. The reversal of 243601858834441 is 144438858106342.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 228583102671225 + 15018756163216 = 15118965^2 + 3875404^2 .

It is a cyclic number.

It is not a de Polignac number, because 243601858834441 - 25 = 243601858834409 is a prime.

It is a super-3 number, since 3×2436018588344413 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 243601858834441.

It is not a weakly prime, because it can be changed into another prime (243601858834471) 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, 121800929417220 + 121800929417221.

It is an arithmetic number, because the mean of its divisors is an integer number (121800929417221).

Almost surely, 2243601858834441 is an apocalyptic number.

It is an amenable number.

243601858834441 is a deficient number, since it is larger than the sum of its proper divisors (1).

243601858834441 is an equidigital number, since it uses as much as digits as its factorization.

243601858834441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70778880, while the sum is 61.

The spelling of 243601858834441 in words is "two hundred forty-three trillion, six hundred one billion, eight hundred fifty-eight million, eight hundred thirty-four thousand, four hundred forty-one".