I do not have an exact answer. However, in astrophysics, a 10-100TeV charged particle may have 26-28 interactions in atmosphere before researching the ground. In anther word, the atmosphere has more than 2 dozens of interaction lengths for TeV hadronic particle. Therefore, a particle like this will generate a huge hadronic cascade ("shower")for over 10,000 square meters on the ground.

A piece of paper can make a 1MeV alpha particle stop. However, at TeV level, a shower must be considered. Since there are so many secondary particles, in which a lot of them are photons, the word "range" might not be the correct description.

@Wang; Is there any analytical formula to calculate range of proton having energy in TeV range

For protons having energy around or upto 500 MeV, analytical formula are used.

@Wang: Long back Wilson has given analytical formula possibly valid up to few hindred MeV.

Article Wilson RR. Radiological use of fast protons. Radiology ;

As pr Wilson:

The range of a proton in air in meters is given by the convenient formula R=(E/9.29)^1.8 where the energy is expressed in MeV.

But, what about TeV range?

Does this paper help?

https://arxiv.org/pdf/0904.4198.pdf

@Hamada, not very helpful directly.

Regards

Munish