You can have HPV for decades and never show any symptoms, as long as you immune system can handle it. HPV is extremely widespread.
http://www.webmd.com/sexual-conditions/hpv-genital-warts/hpv-virus-information-about-human-papillomavirus
However, ever heard of the Tree Man? He has a deficient immune system and grew warts all over his entire body.
http://www.cnn.com/2008/HEALTH/conditions/10/02/treeman.wart.skin.disorder/index.html