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240251144220433 is a prime number
BaseRepresentation
bin110110101000000111010100…
…000110111010111100010001
31011111122210012022201100100201
4312220013110012322330101
5222442233320410023213
62210545504010015201
7101414400215130613
oct6650072406727421
91144583168640321
10240251144220433
116a607a3563a395
1222b42346117501
13a40977c9a9a28
144348308880db3
151cb973c2936dd
hexda81d41baf11

240251144220433 has 2 divisors, whose sum is σ = 240251144220434. Its totient is φ = 240251144220432.

The previous prime is 240251144220401. The next prime is 240251144220481. The reversal of 240251144220433 is 334022441152042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238626862792704 + 1624281427729 = 15447552^2 + 1274473^2 .

It is a cyclic number.

It is not a de Polignac number, because 240251144220433 - 25 = 240251144220401 is a prime.

It is a super-2 number, since 2×2402511442204332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240251144220392 and 240251144220401.

It is not a weakly prime, because it can be changed into another prime (240251144220133) 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, 120125572110216 + 120125572110217.

It is an arithmetic number, because the mean of its divisors is an integer number (120125572110217).

Almost surely, 2240251144220433 is an apocalyptic number.

It is an amenable number.

240251144220433 is a deficient number, since it is larger than the sum of its proper divisors (1).

240251144220433 is an equidigital number, since it uses as much as digits as its factorization.

240251144220433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 240251144220433 its reverse (334022441152042), we get a palindrome (574273585372475).

The spelling of 240251144220433 in words is "two hundred forty trillion, two hundred fifty-one billion, one hundred forty-four million, two hundred twenty thousand, four hundred thirty-three".