# Very big number with floating point in Python

## Question:

I have done some research throughout SO and I believe this is not a duplicate of How to get largest possible precision? (Python – Decimal) or Arithmetic precision problems with large numbers or How to store a big floating point number in python variable?

Let’s say that I have this number: `11400361308443875328.123123123123`

What data type can I use to store this in Python? I have tried `float`, `decimal` and the result it gives me:

``````x = Decimal('11400361308443875328.123123123123123') + Decimal('11400361308443875328.123123123123123')
print("{:12f}".format(x))
# 22800722616887750656.24624625

y = float(11400361308443875328.123123123123) + float(11400361308443875328.123123123123)
print("{:12f}".format(y))
# 22800722616887750656.000000

z = Decimal('0.123123123123123') + Decimal('0.123123123123123')
print("{:12f}".format(z))
# 0.246246246246246
``````

I need the degree of precision that z has. How should I store this big number with floating precision so that I can do some mathematical operations on it? Is there some trick on how I can do this?

For the question on why I need this high degree of precision: this is a question from a coding challenge (not the actual question), and the submission is graded with a leeway of +- 10^-6 precision

If `decimal`‘s default precision is not enough, you can change it by modifying value of `getcontext().prec`https://docs.python.org/3/library/decimal.html#module-decimal
``````from decimal import Decimal, getcontext