Tables des 785 premiers champions de la fonction h(n)
La ligne numero i est composee de 4 champs
champ 1 : i
champ 2 : N(i) le ieme champion
champ 3 : Exposants de la decomposition en facteurs premiers de N(i)
champ 4 : h(N(i))

Exemple : le 10eme  champion est 720  = 2^4 * 3^2 * 5^1  et h(720) = 105 

1, 1, [], 1
2, 6, [1, 1], 2
3, 12, [2, 1], 3
4, 24, [3, 1], 4
5, 30, [1, 1, 1], 6
6, 60, [2, 1, 1], 12
7, 120, [3, 1, 1], 20
8, 180, [2, 2, 1], 30
9, 360, [3, 2, 1], 60
10, 720, [4, 2, 1], 105
11, 840, [3, 1, 1, 1], 120
12, 1080, [3, 3, 1], 140
13, 1260, [2, 2, 1, 1], 180
14, 1680, [4, 1, 1, 1], 210
15, 2160, [4, 3, 1], 280
16, 2520, [3, 2, 1, 1], 420
17, 4320, [5, 3, 1], 504
18, 5040, [4, 2, 1, 1], 840
19, 7560, [3, 3, 1, 1], 1120
20, 10080, [5, 2, 1, 1], 1512
21, 12600, [3, 2, 2, 1], 1680
22, 15120, [4, 3, 1, 1], 2520
23, 25200, [4, 2, 2, 1], 3780
24, 30240, [5, 3, 1, 1], 5040
25, 45360, [4, 4, 1, 1], 6300
26, 50400, [5, 2, 2, 1], 7560
27, 60480, [6, 3, 1, 1], 9240
28, 75600, [4, 3, 2, 1], 12600
29, 90720, [5, 4, 1, 1], 13860
30, 110880, [5, 2, 1, 1, 1], 15120
31, 120960, [7, 3, 1, 1], 15840
32, 151200, [5, 3, 2, 1], 27720
33, 226800, [4, 4, 2, 1], 34650
34, 277200, [4, 2, 2, 1, 1], 37800
35, 302400, [6, 3, 2, 1], 55440
36, 453600, [5, 4, 2, 1], 83160
37, 604800, [7, 3, 2, 1], 102960
38, 665280, [6, 3, 1, 1, 1], 110880
39, 831600, [4, 3, 2, 1, 1], 138600
40, 907200, [6, 4, 2, 1], 180180
41, 1330560, [7, 3, 1, 1, 1], 205920
42, 1360800, [5, 5, 2, 1], 216216
43, 1512000, [6, 3, 3, 1], 240240
44, 1663200, [5, 3, 2, 1, 1], 332640
45, 1814400, [7, 4, 2, 1], 360360
46, 2494800, [4, 4, 2, 1, 1], 415800
47, 2721600, [6, 5, 2, 1], 504504
48, 3175200, [5, 4, 2, 2], 540540
49, 3326400, [6, 3, 2, 1, 1], 720720
50, 4536000, [6, 4, 3, 1], 840840
51, 4989600, [5, 4, 2, 1, 1], 1081080
52, 6350400, [6, 4, 2, 2], 1261260
53, 6652800, [7, 3, 2, 1, 1], 1441440
54, 9072000, [7, 4, 3, 1], 1801800
55, 9979200, [6, 4, 2, 1, 1], 2522520
56, 12700800, [7, 4, 2, 2], 2702700
57, 14968800, [5, 5, 2, 1, 1], 3027024
58, 16632000, [6, 3, 3, 1, 1], 3363360
59, 18144000, [8, 4, 3, 1], 3603600
60, 19051200, [6, 5, 2, 2], 3783780
61, 19958400, [7, 4, 2, 1, 1], 5405400
62, 27216000, [7, 5, 3, 1], 5765760
63, 29937600, [6, 5, 2, 1, 1], 7567560
64, 38102400, [7, 5, 2, 2], 8648640
65, 39916800, [8, 4, 2, 1, 1], 10810800
66, 49896000, [6, 4, 3, 1, 1], 12612600
67, 59875200, [7, 5, 2, 1, 1], 17297280
68, 69854400, [6, 4, 2, 2, 1], 18918900
69, 79833600, [9, 4, 2, 1, 1], 20420400
70, 86486400, [7, 3, 2, 1, 1, 1], 21621600
71, 99792000, [7, 4, 3, 1, 1], 28828800
72, 119750400, [8, 5, 2, 1, 1], 36756720
73, 129729600, [6, 4, 2, 1, 1, 1], 37837800
74, 139708800, [7, 4, 2, 2, 1], 43243200
75, 179625600, [7, 6, 2, 1, 1], 49008960
76, 199584000, [8, 4, 3, 1, 1], 61261200
77, 239500800, [9, 5, 2, 1, 1], 73513440
78, 259459200, [7, 4, 2, 1, 1, 1], 86486400
79, 279417600, [8, 4, 2, 2, 1], 91891800
80, 299376000, [7, 5, 3, 1, 1], 98017920
81, 349272000, [6, 4, 3, 2, 1], 100900800
82, 359251200, [8, 6, 2, 1, 1], 110270160
83, 389188800, [6, 5, 2, 1, 1, 1], 121080960
84, 399168000, [9, 4, 3, 1, 1], 122522400
85, 419126400, [7, 5, 2, 2, 1], 147026880
86, 518918400, [8, 4, 2, 1, 1, 1], 183783600
87, 598752000, [8, 5, 3, 1, 1], 220540320
88, 698544000, [7, 4, 3, 2, 1], 245044800
89, 778377600, [7, 5, 2, 1, 1, 1], 294053760
90, 838252800, [8, 5, 2, 2, 1], 330810480
91, 1037836800, [9, 4, 2, 1, 1, 1], 367567200
92, 1197504000, [9, 5, 3, 1, 1], 465585120
93, 1297296000, [7, 4, 3, 1, 1, 1], 490089600
94, 1397088000, [8, 4, 3, 2, 1], 551350800
95, 1556755200, [8, 5, 2, 1, 1, 1], 661620960
96, 1676505600, [9, 5, 2, 2, 1], 698377680
97, 1816214400, [7, 4, 2, 2, 1, 1], 735134400
98, 2095632000, [7, 5, 3, 2, 1], 882161280
99, 2395008000, [10, 5, 3, 1, 1], 931170240
100, 2514758400, [8, 6, 2, 2, 1], 1047566520
101, 2594592000, [8, 4, 3, 1, 1, 1], 1102701600
102, 2794176000, [9, 4, 3, 2, 1], 1163962800
103, 3113510400, [9, 5, 2, 1, 1, 1], 1396755360
104, 3592512000, [9, 6, 3, 1, 1], 1551950400
105, 3632428800, [8, 4, 2, 2, 1, 1], 1654052400
106, 3891888000, [7, 5, 3, 1, 1, 1], 1764322560
107, 4191264000, [8, 5, 3, 2, 1], 2095133040
108, 5029516800, [9, 6, 2, 2, 1], 2327925600
109, 5448643200, [7, 5, 2, 2, 1, 1], 2646483840
110, 6227020800, [10, 5, 2, 1, 1, 1], 2793510720
111, 7185024000, [10, 6, 3, 1, 1], 3259095840
112, 7264857600, [9, 4, 2, 2, 1, 1], 3491888400
113, 7783776000, [8, 5, 3, 1, 1, 1], 4190266080
114, 8382528000, [9, 5, 3, 2, 1], 4655851200
115, 10059033600, [10, 6, 2, 2, 1], 4888643760
116, 10897286400, [8, 5, 2, 2, 1, 1], 6285399120
117, 12573792000, [8, 6, 3, 2, 1], 6983776800
118, 15567552000, [9, 5, 3, 1, 1, 1], 9311702400
119, 16765056000, [10, 5, 3, 2, 1], 9777287520
120, 18162144000, [8, 4, 3, 2, 1, 1], 10475665200
121, 21794572800, [9, 5, 2, 2, 1, 1], 13967553600
122, 25147584000, [9, 6, 3, 2, 1], 16295479200
123, 27243216000, [7, 5, 3, 2, 1, 1], 16761064320
124, 31135104000, [10, 5, 3, 1, 1, 1], 19554575040
125, 32691859200, [8, 6, 2, 2, 1, 1], 20951330400
126, 36324288000, [9, 4, 3, 2, 1, 1], 23279256000
127, 41912640000, [9, 5, 4, 2, 1], 24443218800
128, 43589145600, [10, 5, 2, 2, 1, 1], 29331862560
129, 46702656000, [9, 6, 3, 1, 1, 1], 32590958400
130, 50295168000, [10, 6, 3, 2, 1], 35850054240
131, 54486432000, [8, 5, 3, 2, 1, 1], 41902660800
132, 65383718400, [9, 6, 2, 2, 1, 1], 48886437600
133, 75442752000, [9, 7, 3, 2, 1], 51214363200
134, 81729648000, [7, 6, 3, 2, 1, 1], 55870214400
135, 87178291200, [11, 5, 2, 2, 1, 1], 58663725120
136, 93405312000, [10, 6, 3, 1, 1, 1], 71700108480
137, 100590336000, [11, 6, 3, 2, 1], 74959204320
138, 108972864000, [9, 5, 3, 2, 1, 1], 97772875200
139, 130767436800, [10, 6, 2, 2, 1, 1], 107550162720
140, 150885504000, [10, 7, 3, 2, 1], 117793035360
141, 163459296000, [8, 6, 3, 2, 1, 1], 146659312800
142, 186810624000, [11, 6, 3, 1, 1, 1], 149918408640
143, 196151155200, [9, 7, 2, 2, 1, 1], 153643089600
144, 217945728000, [10, 5, 3, 2, 1, 1], 215100325440
145, 261534873600, [11, 6, 2, 2, 1, 1], 224877612960
146, 280215936000, [10, 7, 3, 1, 1, 1], 235586070720
147, 301771008000, [11, 7, 3, 2, 1], 257002986240
148, 326918592000, [9, 6, 3, 2, 1, 1], 358500542400
149, 435891456000, [11, 5, 3, 2, 1, 1], 449755225920
150, 490377888000, [8, 7, 3, 2, 1, 1], 460929268800
151, 544864320000, [9, 5, 4, 2, 1, 1], 537750813600
152, 653837184000, [10, 6, 3, 2, 1, 1], 824551247520
153, 871782912000, [12, 5, 3, 2, 1, 1], 899510451840
154, 980755776000, [9, 7, 3, 2, 1, 1], 1177930353600
155, 1089728640000, [10, 5, 4, 2, 1, 1], 1236826871280
156, 1307674368000, [11, 6, 3, 2, 1, 1], 1799020903680
157, 1634592960000, [9, 6, 4, 2, 1, 1], 2061378118800
158, 1852538688000, [9, 5, 3, 2, 1, 1, 1], 2151003254400
159, 1961511552000, [10, 7, 3, 2, 1, 1], 2827032848640
160, 2615348736000, [12, 6, 3, 2, 1, 1], 3747960216000
161, 3269185920000, [10, 6, 4, 2, 1, 1], 4947307485120
162, 3923023104000, [11, 7, 3, 2, 1, 1], 6425074656000
163, 4576860288000, [10, 6, 3, 3, 1, 1], 6596409980160
164, 4903778880000, [9, 7, 4, 2, 1, 1], 7067582121600
165, 5230697472000, [13, 6, 3, 2, 1, 1], 7495920432000
166, 5557616064000, [9, 6, 3, 2, 1, 1, 1], 8245512475200
167, 5884534656000, [10, 8, 3, 2, 1, 1], 8834477652000
168, 6538371840000, [11, 6, 4, 2, 1, 1], 11243880648000
169, 7846046208000, [12, 7, 3, 2, 1, 1], 13920995088000
170, 9153720576000, [11, 6, 3, 3, 1, 1], 14991840864000
171, 9807557760000, [10, 7, 4, 2, 1, 1], 17668955304000
172, 11115232128000, [10, 6, 3, 2, 1, 1, 1], 19789229940480
173, 11769069312000, [11, 8, 3, 2, 1, 1], 20881492632000
174, 13076743680000, [12, 6, 4, 2, 1, 1], 24361741404000
175, 15692092416000, [13, 7, 3, 2, 1, 1], 28912835952000
176, 18307441152000, [12, 6, 3, 3, 1, 1], 32482321872000
177, 19615115520000, [11, 7, 4, 2, 1, 1], 41762985264000
178, 22230464256000, [11, 6, 3, 2, 1, 1, 1], 44975522592000
179, 23538138624000, [12, 8, 3, 2, 1, 1], 46983358422000
180, 26153487360000, [13, 6, 4, 2, 1, 1], 50597462916000
181, 27461161728000, [11, 7, 3, 3, 1, 1], 55683980352000
182, 29422673280000, [10, 8, 4, 2, 1, 1], 57424104738000
183, 31384184832000, [14, 7, 3, 2, 1, 1], 57825671904000
184, 32691859200000, [11, 6, 5, 2, 1, 1], 58468179369600
185, 33345696384000, [10, 7, 3, 2, 1, 1, 1], 70675821216000
186, 39230231040000, [12, 7, 4, 2, 1, 1], 93966716844000
187, 44460928512000, [12, 6, 3, 2, 1, 1, 1], 97446965616000
188, 47076277248000, [13, 8, 3, 2, 1, 1], 101194925832000
189, 54922323456000, [12, 7, 3, 3, 1, 1], 125288955792000
190, 58845346560000, [11, 8, 4, 2, 1, 1], 140950075266000
191, 66691392768000, [11, 7, 3, 2, 1, 1, 1], 167051941056000
192, 78460462080000, [13, 7, 4, 2, 1, 1], 202389851664000
193, 91537205760000, [12, 6, 4, 3, 1, 1], 219255672636000
194, 98075577600000, [11, 7, 5, 2, 1, 1], 225520120425600
195, 100037089152000, [10, 8, 3, 2, 1, 1, 1], 229696418952000
196, 109844646912000, [13, 7, 3, 3, 1, 1], 269853135552000
197, 111152321280000, [11, 6, 4, 2, 1, 1, 1], 292340896848000
198, 117690693120000, [12, 8, 4, 2, 1, 1], 328883508954000
199, 133382785536000, [12, 7, 3, 2, 1, 1, 1], 375866867376000
200, 155613249792000, [11, 6, 3, 3, 1, 1, 1], 389787862464000
201, 156920924160000, [14, 7, 4, 2, 1, 1], 419236121304000
202, 164766970368000, [12, 8, 3, 3, 1, 1], 438511345272000
203, 166728481920000, [10, 7, 4, 2, 1, 1, 1], 459392837904000
204, 183074411520000, [13, 6, 4, 3, 1, 1], 472242987216000
205, 196151155200000, [12, 7, 5, 2, 1, 1], 526213614326400
206, 200074178304000, [11, 8, 3, 2, 1, 1, 1], 563800301064000
207, 222304642560000, [12, 6, 4, 2, 1, 1, 1], 657767017908000
208, 235381386240000, [13, 8, 4, 2, 1, 1], 733663212282000
209, 266765571072000, [13, 7, 3, 2, 1, 1, 1], 809559406656000
210, 274611617280000, [12, 7, 4, 3, 1, 1], 877022690544000
211, 329533940736000, [13, 8, 3, 3, 1, 1], 978217616376000
212, 333456963840000, [11, 7, 4, 2, 1, 1, 1], 1127600602128000
213, 392302310400000, [13, 7, 5, 2, 1, 1], 1173861139651200
214, 400148356608000, [12, 8, 3, 2, 1, 1, 1], 1315534035816000
215, 444609285120000, [13, 6, 4, 2, 1, 1, 1], 1416728961648000
216, 466839749376000, [11, 7, 3, 3, 1, 1, 1], 1503467469504000
217, 470762772480000, [14, 8, 4, 2, 1, 1], 1572135454890000
218, 533531142144000, [14, 7, 3, 2, 1, 1, 1], 1676944485216000
219, 549223234560000, [13, 7, 4, 3, 1, 1], 1956435232752000
220, 647298812160000, [11, 8, 4, 2, 2, 1], 1973301053724000
221, 659067881472000, [14, 8, 3, 3, 1, 1], 2096180606520000
222, 666913927680000, [12, 7, 4, 2, 1, 1, 1], 2631068071632000
223, 800296713216000, [13, 8, 3, 2, 1, 1, 1], 2934652849128000
224, 823834851840000, [12, 8, 4, 3, 1, 1], 3179207253222000
225, 933679498752000, [12, 7, 3, 3, 1, 1, 1], 3508090762176000
226, 1000370891520000, [11, 8, 4, 2, 1, 1, 1], 3946602107448000
227, 1098446469120000, [14, 7, 4, 3, 1, 1], 4192361213040000
228, 1176906931200000, [13, 8, 5, 2, 1, 1], 4401979273692000
229, 1267136462592000, [11, 7, 3, 2, 1, 1, 1, 1], 4510402408512000
230, 1294597624320000, [12, 8, 4, 2, 2, 1], 4768810879833000
231, 1333827855360000, [13, 7, 4, 2, 1, 1, 1], 5869305698256000
232, 1556132497920000, [12, 6, 4, 3, 1, 1, 1], 6139158833808000
233, 1600593426432000, [14, 8, 3, 2, 1, 1, 1], 6288541819560000
234, 1647669703680000, [13, 8, 4, 3, 1, 1], 7336632122820000
235, 1867358997504000, [13, 7, 3, 3, 1, 1, 1], 7825740931008000
236, 2000741783040000, [12, 8, 4, 2, 1, 1, 1], 9537621759666000
237, 2334198746880000, [11, 7, 4, 3, 1, 1, 1], 10524272286528000
238, 2471504555520000, [12, 9, 4, 3, 1, 1], 10597357510740000
239, 2589195248640000, [13, 8, 4, 2, 2, 1], 11004948184230000
240, 2667655710720000, [14, 7, 4, 2, 1, 1, 1], 12577083639120000
241, 2801038496256000, [12, 8, 3, 3, 1, 1, 1], 12716829012888000
242, 3112264995840000, [13, 6, 4, 3, 1, 1, 1], 13695046629264000
243, 3295339407360000, [14, 8, 4, 3, 1, 1], 16245399700530000
244, 3734717995008000, [14, 7, 3, 3, 1, 1, 1], 16769444852160000
245, 4001483566080000, [13, 8, 4, 2, 1, 1, 1], 22009896368460000
246, 4668397493760000, [12, 7, 4, 3, 1, 1, 1], 25433658025776000
247, 5335311421440000, [15, 7, 4, 2, 1, 1, 1], 25992639520848000
248, 5602076992512000, [13, 8, 3, 3, 1, 1, 1], 29346528491280000
249, 6002225349120000, [12, 9, 4, 2, 1, 1, 1], 31792072532220000
250, 6590678814720000, [15, 8, 4, 3, 1, 1], 34656852694464000
251, 6669139276800000, [13, 7, 5, 2, 1, 1, 1], 35215834189536000
252, 7002596240640000, [11, 8, 4, 3, 1, 1, 1], 38150487038664000
253, 8002967132160000, [14, 8, 4, 2, 1, 1, 1], 48736199101590000
254, 9336794987520000, [13, 7, 4, 3, 1, 1, 1], 58693056982560000
255, 11204153985024000, [14, 8, 3, 3, 1, 1, 1], 64981598802120000
256, 12004450698240000, [13, 9, 4, 2, 1, 1, 1], 75811865269140000
257, 12671364625920000, [12, 7, 4, 2, 1, 1, 1, 1], 76300974077328000
258, 13338278553600000, [14, 7, 5, 2, 1, 1, 1], 77977918562544000
259, 14005192481280000, [12, 8, 4, 3, 1, 1, 1], 95376217596660000
260, 16005934264320000, [15, 8, 4, 2, 1, 1, 1], 103970558083392000
261, 18124366740480000, [13, 8, 4, 3, 2, 1], 113717797903710000
262, 18673589975040000, [14, 7, 4, 3, 1, 1, 1], 129963197604240000
263, 20007417830400000, [13, 8, 5, 2, 1, 1, 1], 136461357484452000
264, 22008159613440000, [12, 8, 4, 2, 2, 1, 1], 143064326394990000
265, 23341987468800000, [12, 7, 5, 3, 1, 1, 1], 152601948154656000
266, 24008901396480000, [14, 9, 4, 2, 1, 1, 1], 173284263472320000
267, 25342729251840000, [13, 7, 4, 2, 1, 1, 1, 1], 176079170947680000
268, 28010384962560000, [13, 8, 4, 3, 1, 1, 1], 227435595807420000
269, 32953394073600000, [15, 8, 5, 3, 1, 1], 228735227783462400
270, 33612461955072000, [14, 9, 3, 3, 1, 1, 1], 231045684629760000
271, 35479820952576000, [13, 7, 3, 3, 1, 1, 1, 1], 234772227930240000
272, 36013352094720000, [13, 10, 4, 2, 1, 1, 1], 242597968861248000
273, 36248733480960000, [14, 8, 4, 3, 2, 1], 259926395208480000
274, 37347179950080000, [15, 7, 4, 3, 1, 1, 1], 277254821555712000
275, 38014093877760000, [12, 8, 4, 2, 1, 1, 1, 1], 286128652789980000
276, 40014835660800000, [14, 8, 5, 2, 1, 1, 1], 311911674250176000
277, 42015577443840000, [12, 9, 4, 3, 1, 1, 1], 328518082832940000
278, 44016319226880000, [13, 8, 4, 2, 2, 1, 1], 341153393711130000
279, 46683974937600000, [13, 7, 5, 3, 1, 1, 1], 363896953291872000
280, 48017802792960000, [15, 9, 4, 2, 1, 1, 1], 381225379639104000
281, 50685458503680000, [14, 7, 4, 2, 1, 1, 1, 1], 389889592812720000
282, 54373100221440000, [13, 9, 4, 3, 2, 1], 404329948102080000
283, 56020769925120000, [14, 8, 4, 3, 1, 1, 1], 519852790416960000
284, 70025962406400000, [12, 8, 5, 3, 1, 1, 1], 591332549099292000
285, 76028187755520000, [13, 8, 4, 2, 1, 1, 1, 1], 682306787422260000
286, 80029671321600000, [15, 8, 5, 2, 1, 1, 1], 686205683350387200
287, 84031154887680000, [13, 9, 4, 3, 1, 1, 1], 808659896204160000
288, 93367949875200000, [14, 7, 5, 3, 1, 1, 1], 831764464667136000
289, 98860182220800000, [15, 9, 5, 3, 1, 1], 864110860515302400
290, 102704744862720000, [13, 7, 4, 3, 2, 1, 1], 909742383229680000
291, 108746200442880000, [14, 9, 4, 3, 2, 1], 953063449097760000
292, 112041539850240000, [15, 8, 4, 3, 1, 1, 1], 1143676138917312000
293, 132048957680640000, [13, 9, 4, 2, 2, 1, 1], 1212989844306240000
294, 140051924812800000, [13, 8, 5, 3, 1, 1, 1], 1455587813167488000
295, 152056375511040000, [14, 8, 4, 2, 1, 1, 1, 1], 1559558371250880000
296, 168062309775360000, [14, 9, 4, 3, 1, 1, 1], 1906126898195520000
297, 205409489725440000, [14, 7, 4, 3, 2, 1, 1], 2079411161667840000
298, 210077887219200000, [12, 9, 5, 3, 1, 1, 1], 2102515730130816000
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511, 290835188312455987200000, [17, 11, 5, 3, 2, 1, 1, 1, 1] , 68721319548761617850112000
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521, 581670376624911974400000, [18, 11, 5, 3, 2, 1, 1, 1, 1] , 164167596699819420419712000
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