126993145728000
126,993,145,728,000 is an even composite number composed of six prime numbers multiplied together.
126993145728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 126993145728000:
210 × 3 × 53 × 31 × 47 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 31 × 47 × 61 × 61 × 61)See below for interesting mathematical facts about the number 126993145728000 from the Numbermatics database.
Names of 126993145728000
- Cardinal: 126993145728000 can be written as One hundred twenty-six trillion, nine hundred ninety-three billion, one hundred forty-five million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.26993145728 × 1014
Factors of 126993145728000
Divisors of 126993145728000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 47 48 50 60 61 62 64 75 80 93 94 96 100 120 122 124 125 128 141 150 155 160 183 186 188 192 200 235 240 244 248 250 256 282 300 305 310 320 366 372 375 376 384 400 465 470 480 488 496 500 512 564 600 610 620 640 705 732 744 750 752 768 775 800 915 930 940 960 976 992 1000 1024 1128 1175 1200 1220 1240 1280 1410 1457 1464 1488 1500 1504 1525 1536 1550 1600 1830 1860 1880 1891 1920 1952 1984 2000 2256 2325 2350 2400 2440 2480 2560 2820 2867 2914 2928 2976 3000 3008 3050 3072 3100 3200 3525 3660 3720 3721 3760 3782 3840 3875 3904 3968 4000 4371 4512 4575 4650 4700 4800 4880 4960 5120 5640 5673 5734 5828 5856 5875 5952 6000 6016 6100 6200 6400 7050 7285 7320 7440 7442 7520 7564 7625 7680 7750 7808 7936 8000 8601 8742 9024 9150 9300 9400 9455 9600 9760 9920 11163 11280 11346 11468 11625 11656 11712 11750 11904 12000 12032 12200 12400 12800 14100 14335 14570 14640 14880 14884 15040 15128 15250 15360 15500 15616 15872 16000 17202 17484 17625 18048 18300 18600 18605 18800 18910 19200 19520 19840 21855 22326 22560 22692 22875 22936 23250 23312 23424 23500 23808 24000 24064 24400 24800 25600 28200 28365 28670 29140 29280 29760 29768 30080 30256 30500 31000 31232 31744 32000 34404 34968 35250 36096 36425 36600 37200 37210 37600 37820 38400 39040 39680 43005 43710 44652 45120 45384 45750 45872 46500 46624 46848 47000 47275 47616 48000 48128 48800 49600 55815 56400 56730 57340 58280 58560 59520 59536 60160 60512 61000 62000 62464 64000 68808 69936 70500 71675 72192 72850 73200 74400 74420 75200 75640 76800 78080 79360 86010 87420 88877 89304 90240 90768 91500 91744 93000 93025 93248 93696 94000 94550 95232 96000 97600 99200 109275 111630 112800 113460 114680 115351 116560 117120 119040 119072 120320 121024 122000 124000 128000 137616 139872 141000 141825 143350 144384 145700 146400 148800 148840 150400 151280 156160 158720 172020 174840 174887 177754 178608 180480 181536 182125 183000 183488 186000 186050 186496 187392 188000 189100 192000 195200 198400 215025 218550 223260 225600 226920 226981 229360 230702 233120 234240 236375 238080 238144 240640 242048 244000 248000 266631 275232 279075 279744 282000 283650 286700 291400 292800 297600 297680 300800 302560 312320 344040 346053 349680 349774 355508 357216 358375 360960 363072 364250 366000 366976 372000 372100 372992 376000 378200 384000 390400 396800 430050 437100 444385 446520 451200 453840 453962 458720 461404 465125 466240 468480 472750 476160 476288 484096 488000 496000 524661 533262 546375 550464 558150 559488 564000 567300 573400 576755 582800 585600 595200 595360 601600 605120 680943 688080 692106 699360 699548 709125 711016 714432 716750 721920 726144 728500 732000 733952 744000 744200 745984 752000 756400 780800 793600 860100 874200 874435 888770 893040 902400 907680 907924 917440 922808 930250 932480 936960 945500 952576 968192 976000 992000 1049322 1066524 1075125 1092750 1100928 1116300 1118976 1128000 1134600 1134905 1146800 1153510 1165600 1171200 1190400 1190720 1203200 1210240 1333155 1361886 1376160 1384212 1395375 1398720 1399096 1418250 1422032 1428864 1433500 1452288 1457000 1464000 1467904 1488000 1488400 1491968 1504000 1512800 1561600 1720200 1730265 1748400 1748870 1777540 1786080 1804800 1815360 1815848 1834880 1845616 1860500 1864960 1891000 1905152 1936384 1952000 1984000 2098644 2133048 2150250 2185500 2201856 2221925 2232600 2237952 2256000 2269200 2269810 2293600 2307020 2331200 2342400 2380800 2381440 2420480 2623305 2666310 2723772 2752320 2768424 2790750 2797440 2798192 2836500 2844064 2857728 2867000 2883775 2904576 2914000 2928000 2935808 2976000 2976800 3008000 3025600 3404715 3440400 3460530 3496800 3497740 3555080 3572160 3609600 3630720 3631696 3669760 3691232 3721000 3729920 3782000 3810304 3904000 3968000 4197288 4266096 4300500 4371000 4372175 4403712 4443850 4465200 4475904 4512000 4538400 4539620 4587200 4614040 4662400 4684800 4762880 4840960 5246610 5332620 5421497 5447544 5504640 5536848 5581500 5594880 5596384 5673000 5674525 5688128 5715456 5734000 5767550 5809152 5828000 5856000 5952000 5953600 6016000 6051200 6665775 6809430 6880800 6921060 6993600 6995480 7036411 7110160 7144320 7261440 7263392 7339520 7382464 7442000 7459840 7564000 7808000 8394576 8532192 8601000 8651325 8742000 8744350 8807424 8887700 8930400 9024000 9076800 9079240 9174400 9228080 9324800 9525760 9681920 10493220 10665240 10668107 10842994 10895088 11009280 11073696 11109625 11163000 11189760 11192768 11346000 11349050 11376256 11430912 11468000 11535100 11656000 11712000 11904000 11907200 12102400 13116525 13331550 13618860 13761600 13842120 13987200 13990960 14072822 14220320 14288640 14418875 14522880 14526784 14679040 14764928 14884000 15128000 16264491 16789152 17023575 17064384 17202000 17302650 17484000 17488700 17775400 17860800 18048000 18153600 18158480 18348800 18456160 18649600 19051520 20986440 21109233 21330480 21336214 21685988 21790176 21860875 22018560 22147392 22219250 22326000 22379520 22385536 22692000 22698100 22752512 22936000 23070200 23312000 23424000 23814400 24204800 26233050 26663100 27107485 27237720 27523200 27684240 27974400 27981920 28145644 28372625 28440640 28577280 28837750 29045760 29053568 29529856 29768000 30256000 32004321 32528982 33328875 33578304 34047150 34128768 34404000 34605300 34968000 34977400 35182055 35550800 35721600 36307200 36316960 36697600 36912320 37299200 41972880 42218466 42660960 42672428 43256625 43371976 43580352 43721750 44037120 44294784 44438500 44652000 44771072 45384000 45396200 45505024 45872000 46140400 46624000 47628800 48409600 52466100 53326200 53340535 54214970 54475440 55046400 55368480 55948800 55963840 56291288 56745250 56881280 57154560 57675500 58107136 59059712 59536000 60512000 64008642 65057964 65582625 66657750 67156608 68094300 68257536 68808000 69210600 69936000 69954800 70364110 71101600 71443200 72614400 72633920 73395200 73824640 81322455 83945760 84436932 85117875 85321920 85344856 86513250 86743952 87160704 87443500 88589568 88877000 89304000 89542144 90768000 90792400 91010048 91744000 92280800 93248000 95257600 104932200 105546165 106652400 106681070 108429940 108950880 110092800 110736960 111897600 111927680 112582576 113490500 113762560 115351000 116214272 118119424 119072000 121024000 128017284 130115928 131165250 133315500 134313216 135537425 136188600 136515072 137616000 138421200 139872000 139909600 140728220 142203200 142886400 145228800 145267840 147649280 160021605 162644910 167891520 168873864 170235750 170643840 170689712 173026500 173487904 174321408 174887000 175910275 177179136 177754000 178608000 179084288 181536000 181584800 183488000 184561600 186496000 209864400 211092330 213304800 213362140 216859880 217901760 220185600 221473920 223855360 225165152 226981000 227525120 230702000 232428544 238144000 242048000 256034568 260231856 262330500 266631000 266702675 268626432 271074850 272377200 273030144 275232000 276842400 279744000 279819200 281456440 284406400 285772800 290535680 295298560 320043210 325289820 330711317 335783040 337747728 340471500 341287680 341379424 346053000 346975808 348642816 349774000 351820550 354358272 355508000 357216000 363072000 363169600 366976000 369123200 406612275 419728800 422184660 426609600 426724280 433719760 435803520 442947840 447710720 450330304 453962000 455050240 461404000 476288000 512069136 520463712 524661000 527730825 533262000 533405350 537252864 542149700 544754400 550464000 553684800 559488000 559638400 562912880 568812800 581071360 590597120 640086420 650579640 661422634 671566080 675495456 677687125 680943000 682575360 682758848 692106000 693951616 697285632 699548000 703641100 711016000 714432000 726144000 726339200 738246400 800108025 813224550 839457600 844369320 853219200 853448560 867439520 871607040 879551375 885895680 895421440 900660608 907924000 922808000 992133951 1024138272 1040927424 1049322000 1055461650 1066524000 1066810700 1084299400 1089508800 1100928000 1107369600 1119276800 1125825760 1137625600 1162142720 1280172840 1301159280 1322845268 1333513375 1343132160 1350990912 1355374250 1361886000 1365150720 1365517696 1384212000 1387903232 1399096000 1407282200 1422032000 1428864000 1452678400 1476492800 1600216050 1626449100 1653556585 1678915200 1688738640 1706438400 1706897120 1734879040 1743214080 1759102750 1771791360 1801321216 1815848000 1845616000 1984267902 2033061375 2048276544 2081854848 2098644000 2110923300 2133048000 2133621400 2168598800 2179017600 2214739200 2238553600 2251651520 2275251200 2560345680 2602318560 2638654125 2645690536 2667026750 2686264320 2701981824 2710748500 2723772000 2731035392 2768424000 2775806464 2798192000 2814564400 2844064000 2905356800 2952985600 3200432100 3252898200 3307113170 3357830400 3377477280 3412876800 3413794240 3469758080 3486428160 3518205500 3602642432 3631696000 3691232000 3968535804 4000540125 4066122750 4096553088 4163709696 4197288000 4221846600 4266096000 4267242800 4337197600 4358035200 4429478400 4477107200 4503303040 4960669755 5120691360 5204637120 5277308250 5291381072 5334053500 5403963648 5421497000 5447544000 5462070784 5536848000 5551612928 5596384000 5629128800 5688128000 5810713600 6400864200 6505796400 6614226340 6715660800 6754954560 6825753600 6827588480 6939516160 7036411000 7205284864 7263392000 7382464000 7937071608 8001080250 8132245500 8193106176 8267782925 8327419392 8394576000 8443693200 8532192000 8534485600 8674395200 8716070400 8858956800 9006606080 9921339510 10241382720 10409274240 10554616500 10582762144 10668107000 10807927296 10842994000 10895088000 10924141568 11073696000 11192768000 11258257600 11376256000 12801728400 13011592800 13228452680 13431321600 13509909120 13655176960 13879032320 14072822000 14526784000 14764928000 15874143216 16002160500 16264491000 16386212352 16535565850 16654838784 16789152000 16887386400 17064384000 17068971200 17348790400 17432140800 18013212160 19842679020 20482765440 20818548480 21109233000 21165524288 21336214000 21615854592 21685988000 21790176000 22147392000 22385536000 22516515200 24803348775 25603456800 26023185600 26456905360 27019818240 27310353920 27758064640 28145644000 29053568000 31748286432 32004321000 32528982000 32772424704 33071131700 33578304000 33774772800 34128768000 34137942400 34697580800 36026424320 39685358040 40965530880 41338914625 41637096960 42218466000 42331048576 42672428000 43371976000 43580352000 44294784000 45033030400 49606697550 51206913600 52046371200 52913810720 54039636480 54620707840 56291288000 63496572864 64008642000 65057964000 66142263400 67156608000 67549545600 68275884800 69395161600 79370716080 81931061760 82677829250 83274193920 84436932000 84662097152 85344856000 86743952000 87160704000 90066060800 99213395100 102413827200 104092742400 105827621440 108079272960 112582576000 124016743875 126993145728 128017284000 130115928000 132284526800 135099091200 136551769600 138790323200 158741432160 163862123520 165355658500 168873864000 169324194304 170689712000 173487904000 180132121600 198426790200 204827654400 208185484800 211655242880 225165152000 248033487750 253986291456 256034568000 260231856000 264569053600 270198182400 273103539200 317482864320 330711317000 337747728000 338648388608 341379424000 346975808000 396853580400 409655308800 416370969600 423310485760 450330304000 496066975500 507972582912 512069136000 520463712000 529138107200 540396364800 634965728640 661422634000 675495456000 682758848000 693951616000 793707160800 819310617600 846620971520 900660608000 992133951000 1015945165824 1024138272000 1040927424000 1058276214400 1269931457280 1322845268000 1350990912000 1365517696000 1587414321600 1693241943040 1984267902000 2048276544000 2081854848000 2116552428800 2539862914560 2645690536000 2701981824000 3174828643200 3968535804000 4096553088000 4233104857600 5079725829120 5291381072000 6349657286400 7937071608000 8466209715200 10582762144000 12699314572800 15874143216000 21165524288000 25398629145600 31748286432000 42331048576000 63496572864000 126993145728000
- Sum of all divisors σ(n): 452753385357312
- Sum of proper divisors (its aliquot sum) s(n): 325760239629312
- 126993145728000 is an abundant number, because the sum of its proper divisors (325760239629312) is greater than itself. Its abundance is 198767093901312
Bases of 126993145728000
- Binary: 111001101111111111001010101011100001100000000002
- Hexadecimal: 0x737FE5570C00
- Base-36: 190JUG3MDC
Squares and roots of 126993145728000
- 126993145728000 squared (1269931457280002) is 16127259061893044649984000000
- 126993145728000 cubed (1269931457280003) is 2048051360240191990785028864868352000000000
-
The
square root of 126993145728000 is 11269123.5563374671 -
The
cube root of 126993145728000 is 50264.3526540753
Scales and comparisons
How big is 126993145728000?- 126,993,145,728,000 seconds is equal to 4,037,989 years, 11 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 126,993,145,728,000 would take you about ten million, ninety-four thousand, nine hundred seventy-three 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 126993145728000 cubic inches would be around 4188.7 feet tall.
Recreational maths with 126993145728000
- 126993145728000 backwards is 000827541399621
- The number of decimal digits it has is: 15
- The sum of 126993145728000's digits is 57
- More coming soon!
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The information we have on file for 126993145728000 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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