billion vs thousand million

billion

noun
  • An unspecified very large number. 

  • a thousand million (logic: 1,000 × 1,000^2): 1 followed by nine zeros, 10⁹; a milliard 

thousand million

num
  • Synonym of billion (sense 1) 

How often have the words billion and thousand million occurred in a corpus of books? (source: Google Ngram Viewer )