Monuments

From Idling To Rule The Gods

Monuments are unlocked once Diana is defeated. Each Monument built increases one or more stat multipliers. Each Monument also has a corresponding Upgrade that greatly increases the stat multiplier of that Monument and also causes it to increase your rebirth multipliers. Monument Upgrades are unlocked by defeating Freya.

Monument multipliers stack additively. For example, if one monument multiplies a stat by 1 + 200 and another one multiplies it by 1 + 400, the total multiplier is 601.

The first two monuments help most with your current stats and multis. The further down the list of monuments you go, the more they help with rebirth multis and stats after you rebirth.

Costs

Cost calculation

The second of any given Monument costs 5x as much as the first. If we take the cost of the second Monument and use it as the Base cost B, we can calculate the cost of the nth Monument with this formula: 

Cost =  B * ( n - 1 )

Example:

  1. The first Mighty Statue costs 2,000 Stone.
  2. The second Mighty Statue will cost 5 x 2,000 Stone = 10,000 Stone
  3. We use 10,000 Stone as the base cost to calculate the cost of the 27th Mighty Statue using the formula above:
10,000 Stone * (27 - 1) = 260,000 Stone

Total Cost calculation

Using some math, you can calculate the total cost for n monuments: 

Total Cost =  B * ( n * ( n - 1 ) + 0.4) / 2

Example:

  1. Using 10,000 Stone as the base cost to calculate the cost of 27 Mighty Statues using the formula above:
10,000 Stone * (27 * (27- 1) + 0.4) / 2 = 3,512,000 Stone

Math explanation:

Build Time Calculation

The calculation takes base build time Tb and multiplies it by the nth Monument. It then multiplies by 1000 and divides by the clones on the monument (C). Finally, it divides by build speed (Bs). 

Build time = Tb * n * (1000 / C) / Bs

A build speed of 100% (i.e. no bonuses) would mean Bs = 1. With a 35% bonus, Bs = 1.35 and so on.

The total build time for all monuments up to the nth is: 

Total build time = (Tb * n * n + 1) / 2 * (1000 / C) / Bs

Monuments

Mighty Statue

Boosts Physical stat. Base multiplier of 1.

Amount Cost Divinity Cost Base Build Time (s)
1 2000 Stone 2.5E+6 120
2 10,000 Stone 1.25E+7 240
3 20,000 Stone 2.5E+7 360
4 30,000 Stone 3.75E+7 480
5 40,000 Stone 5E+7 600
10 90,000 Stone 1.125E+8 1,200
20 190,000 Stone 2.250E+8 2,400
50 490,000 Stone 5.625E+8 6,000

Mystic Garden

Boosts Mystic stat. Base multiplier of 6.

Amount Cost Divinity Cost Base Build Time (s)
1 250 Water 100 Plant 1.48E+7 720
2 1,250 Water 500 Plant 7.38E+7 1,440
3 2,500 Water 1000 Plant 1.48E+8 2,160
4 3,750 Water 1500 Plant 2.21E+8 2,880
5 5,000 Water 2000 Plant 2.95E+8 3,600
10 10,000 Water 4000 Plant 7,200

Tomb of Gods

Boosts Battle stat. Base multiplier of 30.

Amount Cost Divinity Cost Base Build Time (s)
1 1,000 Stone 1 Human 7.201E+7 3,600
2 5,000 Stone 5 Human 3.601E+8 7,200
3 10,000 Stone 10 Human 7.202E+8 10,800
4 15,000 Stone 15 Human 1.080E+9 14,400
5 20,000 Stone 20 Human 1.440E+9 18,000
10 40,000 Stone 40 Human 36,000

Everlasting Lighthouse

Boosts Creating stat. Base multiplier of 150.

Amount Cost Divinity Cost Base Build Time (s)
1 250,000 Light 50,000 Stone 3.75E+8 18,000
2 1.25E+6 Light 250,000 Stone 1.875E+9 36,000
3 2.5E+6 Light 500,000 Stone 3.75E+9 54,000
4 3.75E+6 Light 750,000 Stone 5.625E+9 72,000
5 5E+6 Light 1E+6 Stone 7.5E+9 90,000
10 6.25E+6 Light 1.25E+6 Stone 180,000

Godly Statue

Boosts Physical, Mystic, Battle and Creating. Base multiplier of 200.

Amount Cost Divinity Cost Base Build Time (s)
1 1 Mountain 100,000 Stone 25,000 Water 1.081E+9 30,000
2 5 Mountain 500,000 Stone 125,000 Water 5.405E+9 60,000
3 10 Mountain 1E+6 Stone 250,000 Water 1.081E+10 90,000
4 15 Mountain 1.5E+6 Stone 375,000 Water 1.622E+10 120,000
5 20 Mountain 2E+6 Stone 500,000 Water 2.162E+19 150,000
10 40 Mountain 4E+6 Stone 1E+6 Water 300,000

Pyramids of Power

Boosts Physical, Mystic, Battle and Creating. Base multiplier of 600.

Amount Cost Divinity Cost Base Build Time (s)
1 50,000 Water 500,000 Stone 200,000 Light 2.287E+9 75,000
2 250,000 Water 2.5E+6 Stone 1E+6 Light 1.146E+10 150,000
3 500,000 Water 5E+6 Stone 2E+6 Light 2.287E+10 225,000
4 750,000 Water 7.5E+6 Stone 3E+6 Light 3.431E+10 300,000
5 1E+6 Water 1E+7 Stone 4E+6 Light 4.574E+10 375,000
10 2E+6 Water 2E+7 Stone 8E+6 Light 750,000

Temple of God

Boosts Physical, Mystic, Battle and Creating. Base multiplier of 1500.

Also, the player must build 1 Temple of God to unlock the Divinity Generator.

Amount Cost Divinity Cost Base Build Time (s)
1 1E+6 Stone 100,000 Light 2000 Plant

1000 Tree 60,000 Water 1000 Fish

4.04E+9 150,000
2 5E+6 Stone 500,000 Light 10,000 Plant

5000 Tree 300,000 Water 5000 Fish

2.02E+10 300,000
3 1E+7 Stone 1E+6 Light 20,000 Plant

10,000 Tree 600,000 Water 10,000 Fish

4.04E+10 450,000
4 1.5E+7 Stone 1.5E+6 Light 30,000 Plant

15,000 Tree 900,000 Water 15,000 Fish

6.06E+10 600,000
5 2E+7 Stone 2E+6 Light 40,000 Plant

20,000 Tree 1.2E+6 Water 20,000 Fish

8.08E+10 750,000
10 4E+7 Stone 4E+6 Light 80,000 Plant

40,000 Tree 2.4E+6 Water 40,000 Fish

1.5E+6

Black Hole

Boosts Physical, Mystic, Battle and Creating. Base multiplier of 100,000,000.

In addition, each hour, has a 25% chance per Black Hole to generate 1 God Power, maxed at 100% with 4 black holes. If you have done any Black Hole Challenges, you have an additional 5% chance to earn an extra GP, capped by either your BHC count or number of Black Holes, whichever is lower. This reaches a maximum of 3 GP/hr with 40 Black Holes built and 40 BHC completed. After completing all BHCs, it is possible to increase this cap further by spending Overflow Points.

Online GP earnings are not capped. The offline gain is capped at 12 hours, regardless of your BHC count.

Amount Cost Divinity Cost Base Build Time (s)
1 25 Galaxy 2.5E+19 3.99E+8
2 125 Galaxy 1.25E+20 7.98E+8
3 250 Galaxy 2.5E+20 1.197E+9
4 375 Galaxy 3.75E+20 1.596E+9
5 500 Galaxy 5E+20 1.995E+9
10 1,125 Galaxy 1.125E+21 3.99E+9

Each completed BHC also reduces the cost for Black Holes and their upgrades by 2%, to a maximum 80% reduction at 40. This makes the cumulative cost of n Black Holes much more complicated to calculate than for other Monuments because of the need to account for rounding, and it's best done with a spreadsheet or other syntax-enabled calculator. Here is the formula for a GoogleSheets spreadsheet: 

=(5*(IF(ISEVEN(FLOOR(25*(1-(0.02 * BHC )))),ROUNDDOWN(25*(1-(0.02 * BHC ))),ROUNDUP(25*(1-(0.02 * BHC ))))))*( n -1)

Replace BHC with your completed Black Hole Challenge count, and n with the desired number of Black Holes.

Monument Upgrades

Monument Upgrades are unlocked upon defeating Freya, and have two effects. First, monument upgrades give a massive multiplicative boost to the current stats given by the relevant monument; second, they are crucial for your rebirth multipliers, granting large boosts. This rebirth multiplier will apply to the same stats that the monument impacts: a Mystic Garden upgrade affects the mystic multiplier, while the Godly Statue and Temple of God upgrades will affect every stats' rebirth multiplier.

Multiplier Formula

The formula for how much the next upgrade will increase the multiplier on a monument's current effect is: 

5 + 10n

So, the first upgrade multiplies the power of a monument by 15, then adds 25 , 35, and so on to that factor with each upgrade.

The total multiplier given by upgrading from from 0 to n is thus: 

5 n (n + 2)

Rebirth Formula

The formula for a given monument's impact on your rebirth multiplier is: 

(Monument's base multiplier) * (# of monuments made) * (upgrade factor)

The base multiplier is the equivalent boost without upgrades for each monument, as listed above, and cannot be changed. The upgrade factor is listed on the tooltip for upgrades, and grows by 0.25 with each upgrade, up to a cap (see below).

Example

Say you have made 20 godly statues, with 10 upgrades. Then for all four stats, the rebirth multiplier will be multiplied by a factor of: 

(Godly statue base multiplier of 200) * (20 monuments made) * ( 2.5 factor from 10 upgrades) = 10,000x your original rebirth multipliers

Upgrade Caps

While upgrades can increase the current stats of a monument indefinitely, each monument has a limit on how many upgrades will affect your rebirth multiplier.

The upgrade factor starts at 0 and increases by 0.25 for each upgrade. The default maximum is set to a factor of 5, which means at default, only the first 20 upgrades of a monument will count towards your rebirth multipliers. For every P.Baal you defeat, the limit is increased by 1, or 4 upgrades. This resets to the default cap of 5 after rebirth.

This limit is also permanently increased by 4% for each [P. Baal Challenge] completed.

Be aware that there is no default limit on building more upgrades than the cap. Use of the "Next At" option may help with this.

Cost Calculation

For Upgrades, you can treat the cost for the first upgrade as the base cost. The 2nd upgrade will always have the same cost as the first, and from there on, the cost is equal to (Base Cost) * (level - 1)^2. The tables below will outline the cost for the first few upgrades.

The formula for total cost of level 1 to n upgrades is: 

(B * n (n - 1)(2n - 1)) / 6 + B

Mighty Statue Upgrades

Amount Cost Divinity Cost Base Build Time (s)
1 10 Mountain 2.5E+9 60
2 10 Mountain 2.5E+9 120
3 40 Mountain 1E+10 180
4 90 Mountain 2.25E+10 240
5 160 Mountain 4E+10 300
Total from 1-20 24,710 Mountain 6.178E+12 12,600

Mystic Garden Upgrades

Amount Cost Divinity Cost Base Build Time (s)
1 10 Forest 1.22E+10 360
2 10 Forest 1.220E+10 720
3 40 Forest 4.880E+10 1,080
4 90 Forest 1.098E+11 1,440
5 160 Forest 1.952E+11 1,800
Total from 1-20 24,710 Forest 3.015E+13 75,600

Tomb of Gods Upgrades

Amount Cost Divinity Cost Base Build Time (s)
1 5 Village 7.944E+10 1,800
2 5 Village 7.944E+10 3,600
3 20 Village 3.177E+11 5,400
4 45 Village 7.149E+11 7,200
5 80 Village 1.271E+12 9,000
Total from 1-20 12,355 Village 1.963E+14 378,000

Everlasting Lighthouse Upgrades

Amount Cost Divinity Cost Base Build Time (s)
1 1 Ocean 1.996E+12 9,000
2 1 Ocean 1.996E+12 18,000
3 4 Ocean 7.984E+12 27,000
4 9 Ocean 1.796E+13 36,000
5 16 Ocean 3.194E+13 45,000
Total from 1-20 2,471 Ocean 4.932E+15 1.89E+6

Godly Statue Upgrades

Amount Cost Divinity Cost Base Build Time (s)
1 1 Nation 5.746E+12 15,000
2 1 Nation 5.746E+12 30,000
3 4 Nation 2.298E+13 45,000
4 9 Nation 5.771E+13 60,000
5 16 Nation 9.194E+13 75,000
Total from 1-20 2,471 Nation 1.420E+16 3.15E+6

Pyramids of Power Upgrades

Amount Cost Divinity Cost Base Build Time (s)
1 1 Continent 3.073E+13 37,500
2 1 Continent 3.073E+13 75,000
3 4 Continent 6.146E+13 112,500
4 9 Continent 2.766E+14 150,000
5 16 Continent 4.917E+14 187,500
Total from 1-20 2,471 Continent 7.593E+16 7.875E+6

Temple of God Upgrades

Amount Cost Divinity Cost Base Build Time (s)
1 1 Weather 5.154E+13 75,000
2 1 Weather 5.154E+13 150,000
3 4 Weather 2.062E+14 225,000
4 9 Weather 4.639E+14 300,000
5 16 Weather 8.246E+14 375,000
Total from 1-20 2,471 Weather 1.274E+17 1.575E+7

Black Hole Upgrades

Upgrades to Black Holes also award 1 GP at rebirth for every upgrade, up to maximum of 50.

Each Black Hole Challenge completed decreases the cost of upgrades by 2%, up to 80%.

Amount Cost Divinity Cost Base Build Time (s)
1 20 Universe 9.95E+19 1E+7
2 20 Universe 9.95E+19 2E+7
3 80 Universe 3.98E+20 3E+7
4 180 Universe 8.955E+20 4E+7
5 320 Universe 1.592E+21 5E+7
Total from 1-20 49,420 Universe 2.459E+23 2.1E+9
Total from 1-50 808,520 Universe 4.022E+24 1.28E+10
Total from 1-20 (Max BHC Bonus) 9,884 Universe 4.917E+22
Total from 1-50 (Max BHC Bonus) 161,704 Universe 8.045E+23
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