Search a number
-
+
2144312824019 is a prime number
BaseRepresentation
bin11111001101000011000…
…000010001000011010011
321120222211211212220001012
4133031003000101003103
5240113023040332034
64321030025401135
7310631033161232
oct37150300210323
97528754786035
102144312824019
117574417614a3
122a76ba0391ab
131272917b5932
1475adcbc2b19
153aba2667cce
hex1f3430110d3

2144312824019 has 2 divisors, whose sum is σ = 2144312824020. Its totient is φ = 2144312824018.

The previous prime is 2144312823979. The next prime is 2144312824033. The reversal of 2144312824019 is 9104282134412.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2144312824019 is a prime.

It is a super-2 number, since 2×21443128240192 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2144312824039) 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, 1072156412009 + 1072156412010.

It is an arithmetic number, because the mean of its divisors is an integer number (1072156412010).

Almost surely, 22144312824019 is an apocalyptic number.

2144312824019 is a deficient number, since it is larger than the sum of its proper divisors (1).

2144312824019 is an equidigital number, since it uses as much as digits as its factorization.

2144312824019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 2144312824019 in words is "two trillion, one hundred forty-four billion, three hundred twelve million, eight hundred twenty-four thousand, nineteen".