There is train from Hangzhou(https://www.travelchinaguide.com/cityguides/hangzhou.htm) to Xian(https://www.travelchinaguide.com/cityguides/xian.htm) , It takes about 19~23 hours. You can find the accurate price and depature time through Hangzhou Train Schedule(https://www.travelchinaguide.com/china-trains/hangzhou-schedule.htm) . Well, there seems no direct train from Hangzhou to Zhuhai. You can take train from Hangzhou to Guangzhou(https://www.travelchinaguide.com/cityguides/guangzhou.htm) first, then go to Zhuhai by bus from Guangzhou.