Search a number
-
+
444142310405951 is a prime number
BaseRepresentation
bin110010011111100011111000…
…0101001000011011100111111
32011020120120221021000111021102
41210333013300221003130333
5431203311422430442301
64212340054411123315
7162360136330343063
oct14477076051033477
92136516837014242
10444142310405951
11119576772504683
124199190914353b
13160a959504c631
147b9686146baa3
1536532627a1b6b
hex193f1f0a4373f

444142310405951 has 2 divisors, whose sum is σ = 444142310405952. Its totient is φ = 444142310405950.

The previous prime is 444142310405947. The next prime is 444142310406001. The reversal of 444142310405951 is 159504013241444.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 444142310405951 - 22 = 444142310405947 is a prime.

It is a super-2 number, since 2×4441423104059512 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444142310405896 and 444142310405905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444142313405951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222071155202975 + 222071155202976.

It is an arithmetic number, because the mean of its divisors is an integer number (222071155202976).

Almost surely, 2444142310405951 is an apocalyptic number.

444142310405951 is a deficient number, since it is larger than the sum of its proper divisors (1).

444142310405951 is an equidigital number, since it uses as much as digits as its factorization.

444142310405951 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1382400, while the sum is 47.

The spelling of 444142310405951 in words is "four hundred forty-four trillion, one hundred forty-two billion, three hundred ten million, four hundred five thousand, nine hundred fifty-one".