Search a number
-
+
22403424000413 is a prime number
BaseRepresentation
bin1010001100000001101000…
…01000010001100110011101
32221022202011010201222011202
411012000310020101212131
510414024203021003123
6115351554011325245
74501410505655321
oct506006410214635
987282133658152
1022403424000413
117158269879425
122619b25450825
13c66831663491
1457648d927981
1528cb70155a28
hex14603421199d

22403424000413 has 2 divisors, whose sum is σ = 22403424000414. Its totient is φ = 22403424000412.

The previous prime is 22403424000401. The next prime is 22403424000437. The reversal of 22403424000413 is 31400042430422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17831854037284 + 4571569963129 = 4222778^2 + 2138123^2 .

It is a cyclic number.

It is not a de Polignac number, because 22403424000413 - 232 = 22399129033117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22403424000613) 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 as a sum of consecutive naturals, namely, 11201712000206 + 11201712000207.

It is an arithmetic number, because the mean of its divisors is an integer number (11201712000207).

Almost surely, 222403424000413 is an apocalyptic number.

It is an amenable number.

22403424000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

22403424000413 is an equidigital number, since it uses as much as digits as its factorization.

22403424000413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 22403424000413 its reverse (31400042430422), we get a palindrome (53803466430835).

The spelling of 22403424000413 in words is "twenty-two trillion, four hundred three billion, four hundred twenty-four million, four hundred thirteen", and thus it is an aban number.