Search a number
-
+
42004223400049 is a prime number
BaseRepresentation
bin10011000110011110111101…
…10100001001100001110001
312111201120020112211210222121
421203033132310021201301
521001144122142300144
6225200250203234241
711563463545622341
oct1143173664114161
9174646215753877
1042004223400049
1112424989074919
124864849518981
131a58c9ab0b701
14a5302dc32d21
154cc95d89c384
hex2633ded09871

42004223400049 has 2 divisors, whose sum is σ = 42004223400050. Its totient is φ = 42004223400048.

The previous prime is 42004223400001. The next prime is 42004223400127. The reversal of 42004223400049 is 94000432240024.

42004223400049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38961752544225 + 3042470855824 = 6241935^2 + 1744268^2 .

It is a cyclic number.

It is not a de Polignac number, because 42004223400049 - 211 = 42004223398001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42004223399987 and 42004223400023.

It is not a weakly prime, because it can be changed into another prime (42004223403049) 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, 21002111700024 + 21002111700025.

It is an arithmetic number, because the mean of its divisors is an integer number (21002111700025).

Almost surely, 242004223400049 is an apocalyptic number.

It is an amenable number.

42004223400049 is a deficient number, since it is larger than the sum of its proper divisors (1).

42004223400049 is an equidigital number, since it uses as much as digits as its factorization.

42004223400049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 42004223400049 in words is "forty-two trillion, four billion, two hundred twenty-three million, four hundred thousand, forty-nine".