Search a number
-
+
443502415441 is a prime number
BaseRepresentation
bin1100111010000101100…
…11011100111001010001
31120101202110001001020201
412131002303130321101
524231243104243231
6535424151535201
744020255221361
oct6350263347121
91511673031221
10443502415441
111610a7607a58
1271b5408a501
1332a8c1c4777
141767399a9a1
15b80ab18161
hex6742cdce51

443502415441 has 2 divisors, whose sum is σ = 443502415442. Its totient is φ = 443502415440.

The previous prime is 443502415427. The next prime is 443502415451. The reversal of 443502415441 is 144514205344.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222127460416 + 221374955025 = 471304^2 + 470505^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-443502415441 is a prime.

It is a super-3 number, since 3×4435024154413 (a number of 36 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 443502415441.

It is not a weakly prime, because it can be changed into another prime (443502415451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221751207720 + 221751207721.

It is an arithmetic number, because the mean of its divisors is an integer number (221751207721).

Almost surely, 2443502415441 is an apocalyptic number.

It is an amenable number.

443502415441 is a deficient number, since it is larger than the sum of its proper divisors (1).

443502415441 is an equidigital number, since it uses as much as digits as its factorization.

443502415441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 443502415441 in words is "four hundred forty-three billion, five hundred two million, four hundred fifteen thousand, four hundred forty-one".