diff --git a/config/initializers/constants.rb b/config/initializers/constants.rb
index 827d16e25..22cd5aca9 100644
--- a/config/initializers/constants.rb
+++ b/config/initializers/constants.rb
@@ -23,8 +23,9 @@ class Constants
   PASSWORD_STRETCH_FACTOR = 10
   # Standard max length for email
   EMAIL_MAX_LENGTH = 254
-  # Some big value which is still supported by all databases
-  INFINITY = 999999999999999999
+  # Some big value which is still supported by all databases, no matter what
+  # data type is used
+  INFINITY = 2**32 / 2 - 1
 
   #=============================================================================
   # Query/display limits
diff --git a/test/fixtures/user_my_modules.yml b/test/fixtures/user_my_modules.yml
index d621b5746..6a4d84a38 100644
--- a/test/fixtures/user_my_modules.yml
+++ b/test/fixtures/user_my_modules.yml
@@ -24,13 +24,13 @@ five:
   assigned_by: steve
 
 non_existing_user:
-  user_id: 99999
+  user_id: <%= Constants::INFINITY %>
   my_module: rna_test
   assigned_by: jlaw
 
 non_existing_module:
   user_id: jlaw
-  my_module_id: 99999
+  my_module_id: <%= Constants::INFINITY %>
   assigned_by: jlaw
 
 without_user:
@@ -45,4 +45,3 @@ without_module:
 archived:
   user: steve
   my_module: archived
-
diff --git a/test/fixtures/user_organizations.yml b/test/fixtures/user_organizations.yml
index 26642288b..ab86a298d 100644
--- a/test/fixtures/user_organizations.yml
+++ b/test/fixtures/user_organizations.yml
@@ -86,13 +86,13 @@ without_organization:
   assigned_by: steve
 
 with_invalid_user:
-  user_id: 9999999
+  user_id: <%= Constants::INFINITY %>
   organization: nib
   role: 1
   assigned_by: steve
 
 with_invalid_organization:
   user: nora
-  organization_id: 999999
+  organization_id: <%= Constants::INFINITY %>
   role: 1
   assigned_by: steve
diff --git a/test/fixtures/user_projects.yml b/test/fixtures/user_projects.yml
index f2ea07074..766c730e0 100644
--- a/test/fixtures/user_projects.yml
+++ b/test/fixtures/user_projects.yml
@@ -107,13 +107,13 @@ without_project:
   assigned_by: steve
 
 with_invalid_user:
-  user_id: 9999999
+  user_id: <%= Constants::INFINITY %>
   project: decathlon
   role: 1
   assigned_by: steve
 
 with_invalid_project:
   user: nora
-  project_id: 999999
+  project_id: <%= Constants::INFINITY %>
   role: 1
   assigned_by: steve