12628404131200
12,628,404,131,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 12628404131200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
12628404131200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 12628404131200:
27 × 52 × 11 × 132 × 312 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 13 × 31 × 31 × 47 × 47)See below for interesting mathematical facts about the number 12628404131200 from the Numbermatics database.
Names of 12628404131200
- Cardinal: 12628404131200 can be written as Twelve trillion, six hundred twenty-eight billion, four hundred four million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.26284041312 × 1013
Factors of 12628404131200
Divisors of 12628404131200
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 31 32 40 44 47 50 52 55 62 64 65 80 88 94 100 104 110 124 128 130 143 155 160 169 176 188 200 208 220 235 248 260 275 286 310 320 325 338 341 352 376 400 403 416 440 470 496 517 520 550 572 611 620 640 650 676 682 704 715 752 775 800 806 832 845 880 940 961 992 1034 1040 1100 1144 1175 1222 1240 1300 1352 1364 1408 1430 1457 1504 1550 1600 1612 1664 1690 1705 1760 1859 1880 1922 1984 2015 2068 2080 2200 2209 2288 2350 2444 2480 2585 2600 2704 2728 2860 2914 3008 3055 3100 3200 3224 3380 3410 3520 3575 3718 3760 3844 3968 4030 4136 4160 4225 4400 4418 4433 4576 4700 4805 4888 4960 5170 5200 5239 5408 5456 5720 5828 6016 6110 6200 6448 6721 6760 6820 7040 7150 7285 7436 7520 7688 7943 8060 8272 8320 8450 8525 8800 8836 8866 9152 9295 9400 9610 9776 9920 10075 10340 10400 10478 10571 10816 10912 11045 11440 11656 12220 12400 12493 12896 12925 13442 13520 13640 14300 14570 14872 15040 15275 15376 15886 16027 16120 16544 16900 17050 17600 17672 17732 18304 18590 18800 18941 19220 19552 19840 20150 20680 20800 20956 21142 21632 21824 22090 22165 22880 23312 24025 24299 24440 24800 24986 25792 25850 26195 26884 27040 27280 28600 28717 29140 29744 30080 30550 30752 31772 32054 32240 33088 33605 33800 34100 35200 35344 35464 36425 37180 37600 37882 38440 39104 39715 40300 41360 41600 41912 42284 43648 44180 44330 45167 45760 46475 46624 48050 48598 48880 49600 49972 51584 51700 52390 52855 53768 54080 54560 55225 57200 57434 57629 58280 59488 61100 61504 62465 63544 64108 64480 66176 67210 67600 68200 68479 70688 70928 72850 74360 75200 75764 76880 78208 79430 80135 80600 82720 83824 84568 87373 88360 88660 90334 91520 92950 93248 94705 96100 97196 97760 99200 99944 103400 104780 105710 107536 108160 109120 110450 110825 114400 114868 115258 116560 118976 121495 122200 123008 124930 127088 128216 128960 130975 134420 135200 136400 136958 137423 141376 141856 143585 145700 148720 150400 151528 153760 158860 160270 161200 162409 165440 167648 168025 169136 174746 176720 177320 180668 185900 186496 189410 192200 194392 195520 198575 199888 206800 208351 209560 211420 215072 218240 220900 221650 225835 228800 229736 230516 233120 237952 242990 244400 246233 249860 254176 256432 257920 261950 264275 268840 270400 272800 273916 274846 282752 283712 287170 288145 291400 297440 303056 307520 312325 315887 317720 320540 322400 324818 330880 335296 336050 338272 342395 349492 353440 354640 361336 371800 373321 378820 384400 388784 391040 397150 399776 400675 413600 416702 419120 422840 430144 436865 441800 443300 451670 457600 459472 461032 466240 473525 485980 488800 492466 496837 499720 508352 512864 523900 528550 537680 540800 545600 547832 549692 567424 574340 576290 582800 587171 594880 606112 607475 615040 624650 631774 635440 641080 644800 649636 670592 672100 676544 684790 687115 698984 706880 709280 717925 722672 743600 746642 753269 757640 768800 777568 794300 799552 801350 812045 827200 833404 838240 845680 860288 873730 883600 886600 890227 903340 918944 922064 932480 947050 971960 977600 984932 993674 999440 1016704 1025728 1041755 1047800 1057100 1075360 1091200 1095664 1099384 1129175 1148680 1152580 1165600 1174342 1189760 1212224 1214950 1231165 1249300 1263548 1270880 1282160 1289600 1299272 1344200 1353088 1369580 1374230 1397968 1413760 1418560 1435850 1440725 1445344 1487200 1493284 1506538 1515280 1537600 1555136 1579435 1588600 1599104 1602700 1624090 1654400 1666808 1676480 1691360 1711975 1747460 1767200 1773200 1780454 1786499 1806680 1837888 1844128 1866605 1894100 1943920 1955200 1969864 1987348 1998880 2051456 2083510 2095600 2114200 2122849 2150720 2184325 2191328 2198768 2258350 2297360 2305160 2331200 2348684 2424448 2429900 2462330 2484185 2498600 2527096 2541760 2564320 2598544 2688400 2708563 2739160 2748460 2795936 2837120 2871700 2881450 2890688 2935855 2974400 2986568 3013076 3030560 3075200 3110272 3158870 3177200 3205400 3248180 3333616 3352960 3382720 3423950 3435575 3494920 3534400 3546400 3560908 3572998 3613360 3675776 3688256 3733210 3766345 3788200 3887840 3939728 3974696 3997760 4060225 4106531 4167020 4191200 4228400 4245698 4301440 4368650 4382656 4397536 4451135 4516700 4594720 4610320 4662400 4697368 4859800 4924660 4968370 4997200 5054192 5083520 5128640 5197088 5208775 5376800 5417126 5478320 5496920 5591872 5743400 5762900 5781376 5871710 5948800 5973136 6026152 6061120 6155825 6317740 6354400 6410800 6458881 6496360 6667232 6765440 6847900 6871150 6989840 7068800 7092800 7121816 7145996 7226720 7376512 7466420 7532690 7576400 7633223 7775680 7879456 7897175 7949392 7995520 8120450 8213062 8334040 8382400 8456800 8491396 8737300 8765312 8795072 8902270 8932495 9033400 9189440 9220640 9333025 9394736 9719600 9792497 9849320 9936740 9994400 10108384 10257280 10394176 10417550 10614245 10753600 10834252 10956640 10993840 11183744 11486800 11525800 11572951 11743420 11946272 12052304 12122240 12311650 12420925 12635480 12708800 12821600 12917762 12992720 13334464 13542815 13695800 13742300 13979680 14185600 14243632 14291992 14453440 14679275 14932840 15065380 15152800 15266446 15551360 15758912 15794350 15898784 16240900 16426124 16668080 16764800 16913600 16982792 17474600 17590144 17804540 17864990 18066800 18378880 18441280 18666050 18789472 18831725 19439200 19584994 19698640 19873480 19988800 20216768 20532655 20788352 20835100 21228490 21507200 21668504 21913280 21987680 22255675 22973600 23051600 23145902 23351339 23486840 23892544 24104608 24623300 24841850 25270960 25417600 25643200 25835524 25985440 26668928 27085630 27391600 27484600 27597037 27959360 28487264 28583984 28906880 29358550 29865680 30130760 30305600 30532892 31517824 31588700 31797568 32294405 32481800 32852248 33336160 33827200 33965584 34949200 35609080 35729980 36133600 36882560 37332100 37578944 37663450 38166115 38878400 39169988 39397280 39746960 39977600 40433536 41065310 41670200 42456980 43337008 43826560 43975360 44511350 44662475 45947200 46103200 46291804 46702678 46973680 47785088 48209216 48962485 49246600 49683700 50541920 51286400 51671048 51970880 53071225 54171260 54783200 54969200 55194074 55918720 56974528 57167968 57864755 58717100 59731360 60261520 60611200 61065784 63177400 63595136 64588810 64963600 65704496 66672320 67714075 67931168 69898400 71218160 71459960 72267200 74664200 75157888 75326900 76332230 77756800 78339976 78794560 79493920 82130620 83340400 83965453 84913960 86674016 87950720 89022700 89324950 91894400 92206400 92583608 93405356 93947360 96418432 97924970 98493200 99367400 101083840 102663275 103342096 103941760 106142450 108342520 109566400 109938400 110388148 113949056 114335936 115729510 116756695 117434200 119462720 120523040 122131568 126354800 127302461 129177620 129927200 131408992 133344640 135428150 135862336 137985185 139796800 142436320 142919920 144534400 149328400 150653800 152664460 156679952 157589120 158987840 161472025 164261240 166680800 167930906 169827920 173348032 178045400 178649900 184412800 185167216 186810712 187894720 190830575 195849940 196986400 198734800 202167680 205326550 206684192 212284900 216685040 219132800 219876800 220776296 228671872 231459020 233513390 234868400 238925440 241046080 244263136 244812425 252709600 254604922 258355240 259854400 262817984 270856300 271724672 275970370 279593600 284872640 285839840 289323775 298656800 301307600 303567407 305328920 313359904 317975680 322944050 328522480 333361600 335861812 339655840 346696064 356090800 357299800 358761481 370334432 373621424 375789440 381661150 391699880 393972800 397469600 410653100 413368384 419827265 424569800 433370080 439753600 441552592 462918040 467026780 469736800 482092160 488526272 489624850 505419200 509209844 516710480 519708800 525635968 541712600 551940740 569745280 571679680 578647550 583783475 597313600 602615200 607134814 610657840 626719808 636512305 645888100 657044960 666723200 671723624 679311680 689925925 712181600 714599600 717522962 740668864 747242848 763322300 783399760 787945600 794939200 821306200 826736768 839654530 849139600 866740160 883105184 925836080 934053560 939473600 977052544 979249700 1010838400 1018419688 1033420960 1083425200 1103881480 1143359360 1157295100 1167566950 1194627200 1205230400 1214269628 1221315680 1253439616 1273024610 1291776200 1314089920 1343447248 1358623360 1379851850 1424363200 1429199200 1435045924 1481337728 1494485696 1517837035 1526644600 1566799520 1589878400 1642612400 1679309060 1698279200 1733480320 1766210368 1793807405 1851672160 1868107120 1878947200 1958499400 2036839376 2066841920 2099136325 2166850400 2207762960 2314590200 2335133900 2410460800 2428539256 2442631360 2546049220 2583552400 2628179840 2686894496 2759703700 2848726400 2858398400 2870091848 2988971392 3035674070 3053289200 3133599040 3182561525 3285224800 3358618120 3396558400 3532420736 3587614810 3703344320 3736214240 3916998800 3946376291 4073678752 4133683840 4198272650 4333700800 4415525920 4629180400 4670267800 4857078512 4885262720 5092098440 5167104800 5373788992 5519407400 5716796800 5740183696 6071348140 6106578400 6267198080 6365123050 6570449600 6717236240 6793116800 7175229620 7406688640 7472428480 7589185175 7833997600 7892752582 8147357504 8396545300 8667401600 8831051840 8969037025 9258360800 9340535600 9714157024 10184196880 10334209600 10747577984 11038814800 11480367392 12142696280 12213156800 12730246100 13140899200 13434472480 14350459240 14944856960 15178370350 15667995200 15785505164 16294715008 16793090600 17662103680 17938074050 18516721600 18681071200 19428314048 19731881455 20368393760 20668419200 22077629600 22960734784 24285392560 24426313600 25460492200 26868944960 28700918480 30356740700 31335990400 31571010328 33586181200 35876148100 37033443200 37362142400 38856628096 39463762910 40736787520 44155259200 45921469568 48570785120 50920984400 53737889920 57401836960 60713481400 63142020656 67172362400 71752296200 74724284800 78927525820 81473575040 88310518400 97141570240 98659407275 101841968800 114803673920 121426962800 126284041312 134344724800 143504592400 157855051640 194283140480 197318814550 203683937600 229607347840 242853925600 252568082624 268689449600 287009184800 315710103280 394637629100 407367875200 485707851200 505136165248 574018369600 631420206560 789275258200 971415702400 1148036739200 1262840413120 1578550516400 2525680826240 3157101032800 6314202065600 12628404131200
- Sum of all divisors σ(n): 38905859815380
- Sum of proper divisors (its aliquot sum) s(n): 26277455684180
- 12628404131200 is an abundant number, because the sum of its proper divisors (26277455684180) is greater than itself. Its abundance is 13649051552980
Bases of 12628404131200
- Binary: 101101111100010001111000101011010101100000002
- Hexadecimal: 0xB7C478AD580
- Base-36: 4H5EPRI4G
Squares and roots of 12628404131200
- 12628404131200 squared (126284041312002) is 159476590900909226813440000
- 12628404131200 cubed (126284041312003) is 2013934839362734409727043507683328000000
-
The
square root of 12628404131200 is 3553646.5962726231 -
The
cube root of 12628404131200 is 23287.1401656507
Scales and comparisons
How big is 12628404131200?- 12,628,404,131,200 seconds is equal to 401,544 years, 9 weeks, 5 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 12,628,404,131,200 would take you about one million, three thousand, eight hundred sixty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 12628404131200 cubic inches would be around 1940.6 feet tall.
Recreational maths with 12628404131200
- 12628404131200 backwards is 00213140482621
- The number of decimal digits it has is: 14
- The sum of 12628404131200's digits is 34
- More coming soon!
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The information we have on file for 12628404131200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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