12946648166400
12,946,648,166,400 is an even composite number composed of six prime numbers multiplied together.
12946648166400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 12946648166400:
212 × 3 × 52 × 132 × 17 × 14669
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 17 × 14669)See below for interesting mathematical facts about the number 12946648166400 from the Numbermatics database.
Names of 12946648166400
- Cardinal: 12946648166400 can be written as Twelve trillion, nine hundred forty-six billion, six hundred forty-eight million, one hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.29466481664 × 1013
Factors of 12946648166400
Divisors of 12946648166400
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 96 100 102 104 120 128 130 136 150 156 160 169 170 192 195 200 204 208 221 240 255 256 260 272 300 312 320 325 338 340 384 390 400 408 416 425 442 480 507 510 512 520 544 600 624 640 650 663 676 680 768 780 800 816 832 845 850 884 960 975 1014 1020 1024 1040 1088 1105 1200 1248 1275 1280 1300 1326 1352 1360 1536 1560 1600 1632 1664 1690 1700 1768 1920 1950 2028 2040 2048 2080 2176 2210 2400 2496 2535 2550 2560 2600 2652 2704 2720 2873 3072 3120 3200 3264 3315 3328 3380 3400 3536 3840 3900 4056 4080 4096 4160 4225 4352 4420 4800 4992 5070 5100 5120 5200 5304 5408 5440 5525 5746 6144 6240 6400 6528 6630 6656 6760 6800 7072 7680 7800 8112 8160 8320 8450 8619 8704 8840 9600 9984 10140 10200 10240 10400 10608 10816 10880 11050 11492 12288 12480 12675 12800 13056 13260 13312 13520 13600 14144 14365 14669 15360 15600 16224 16320 16575 16640 16900 17238 17408 17680 19200 19968 20280 20400 20480 20800 21216 21632 21760 22100 22984 24960 25350 25600 26112 26520 26624 27040 27200 28288 28730 29338 30720 31200 32448 32640 33150 33280 33800 34476 34816 35360 38400 39936 40560 40800 41600 42432 43095 43264 43520 44007 44200 45968 49920 50700 51200 52224 53040 53248 54080 54400 56576 57460 58676 61440 62400 64896 65280 66300 66560 67600 68952 69632 70720 71825 73345 76800 79872 81120 81600 83200 84864 86190 86528 87040 88014 88400 91936 99840 101400 102400 104448 106080 108160 108800 113152 114920 117352 124800 129792 130560 132600 133120 135200 137904 141440 143650 146690 153600 159744 162240 163200 166400 169728 172380 173056 174080 176028 176800 183872 190697 199680 202800 208896 212160 215475 216320 217600 220035 226304 229840 234704 249373 249600 259584 261120 265200 266240 270400 275808 282880 287300 293380 307200 324480 326400 332800 339456 344760 346112 348160 352056 353600 366725 367744 381394 399360 405600 424320 430950 432640 435200 440070 452608 459680 469408 498746 499200 519168 522240 530400 540800 551616 565760 572091 574600 586760 648960 652800 665600 678912 689520 692224 704112 707200 733450 735488 748119 762788 798720 811200 848640 861900 865280 870400 880140 905216 919360 938816 953485 997492 998400 1038336 1044480 1060800 1081600 1100175 1103232 1131520 1144182 1149200 1173520 1246865 1297920 1305600 1331200 1357824 1379040 1408224 1414400 1466900 1470976 1496238 1525576 1622400 1697280 1723800 1730560 1740800 1760280 1838720 1877632 1906970 1994984 1996800 2076672 2121600 2163200 2200350 2206464 2263040 2288364 2298400 2347040 2479061 2493730 2595840 2611200 2715648 2758080 2816448 2828800 2860455 2933800 2941952 2992476 3051152 3241849 3244800 3394560 3447600 3461120 3520560 3677440 3740595 3755264 3813940 3989968 3993600 4243200 4326400 4400700 4412928 4526080 4576728 4596800 4694080 4767425 4958122 4987460 5191680 5222400 5516160 5632896 5657600 5720910 5867600 5883904 5984952 6102304 6234325 6483698 6489600 6789120 6895200 7041120 7354880 7437183 7481190 7510528 7627880 7979936 8486400 8652800 8801400 8825856 9153456 9193600 9388160 9534850 9725547 9916244 9974920 10383360 11032320 11265792 11315200 11441820 11735200 11767808 11969904 12204608 12395305 12468650 12967396 12979200 13578240 13790400 14082240 14302275 14709760 14874366 14962380 15021056 15255760 15959872 16209245 16972800 17305600 17602800 17651712 18306912 18387200 18702975 18776320 19069700 19451094 19832488 19949840 22064640 22531584 22630400 22883640 23470400 23939808 24409216 24790610 24937300 25934792 25958400 27580800 28164480 28604550 29419520 29748732 29924760 30042112 30511520 31919744 32418490 33945600 35205600 35303424 36613824 36774400 37185915 37405950 37552640 38139400 38902188 39664976 39899680 42144037 44129280 45063168 45767280 46940800 47879616 48627735 48818432 49581220 49874600 51869584 51916800 55161600 56328960 57209100 58839040 59497464 59849520 60084224 61023040 61976525 63839488 64836980 67891200 70411200 73227648 73548800 74371830 74811900 75105280 76278800 77804376 79329952 79799360 81046225 84288074 88258560 90126336 91534560 93881600 95759232 97255470 97636864 99162440 99749200 103739168 110323200 112657920 114418200 118994928 119699040 122046080 123953050 126432111 127678976 129673960 140822400 146455296 147097600 148743660 149623800 150210560 152557600 155608752 158659904 159598720 162092450 168576148 176517120 180252672 183069120 185929575 187763200 191518464 194510940 195273728 198324880 199498400 207478336 210720185 220646400 225315840 228836400 237989856 239398080 243138675 244092160 247906100 252864222 255357952 259347920 281644800 292910592 294195200 297487320 299247600 300421120 305115200 311217504 317319808 319197440 324184900 337152296 366138240 371859150 375526400 383036928 389021880 390547456 396649760 398996800 414956672 421440370 441292800 450631680 457672800 475979712 478796160 486277350 488184320 495812200 505728444 510715904 518695840 563289600 585821184 594974640 598495200 610230400 622435008 632160555 634639616 638394880 648369800 674304592 732276480 743718300 751052800 766073856 778043760 781094912 793299520 797993600 829913344 842880740 882585600 901263360 915345600 951959424 957592320 972554700 976368640 991624400 1011456888 1021431808 1037391680 1053600925 1126579200 1171642368 1189949280 1196990400 1220460800 1244870016 1264321110 1269279232 1276789760 1296739600 1348609184 1464552960 1487436600 1502105600 1532147712 1556087520 1586599040 1595987200 1659826688 1685761480 1830691200 1903918848 1915184640 1945109400 1952737280 1983248800 2022913776 2074783360 2107201850 2253158400 2343284736 2379898560 2393980800 2440921600 2489740032 2528642220 2538558464 2553579520 2593479200 2697218368 2929105920 2974873200 3064295424 3112175040 3160802775 3173198080 3191974400 3319653376 3371522960 3661382400 3807837696 3830369280 3890218800 3905474560 3966497600 4045827552 4149566720 4214403700 4506316800 4759797120 4787961600 4881843200 4979480064 5057284440 5077116928 5107159040 5186958400 5394436736 5858211840 5949746400 6224350080 6321605550 6346396160 6383948800 6639306752 6743045920 7322764800 7615675392 7660738560 7780437600 7932995200 8091655104 8299133440 8428807400 9519594240 9575923200 9763686400 9958960128 10114568880 10154233856 10373916800 10788873472 11716423680 11899492800 12448700160 12643211100 12692792320 12767897600 13278613504 13486091840 14645529600 15231350784 15321477120 15560875200 15865990400 16183310208 16598266880 16857614800 19039188480 19151846400 19527372800 19917920256 20229137760 20747833600 21577746944 23798985600 24897400320 25286422200 25385584640 25535795200 26972183680 29291059200 30462701568 31121750400 31731980800 32366620416 33196533760 33715229600 38078376960 38303692800 39835840512 40458275520 41495667200 43155493888 47597971200 49794800640 50572844400 50771169280 53944367360 58582118400 62243500800 63463961600 64733240832 66393067520 67430459200 76156753920 76607385600 80916551040 82991334400 86310987776 95195942400 99589601280 101145688800 107888734720 124487001600 126927923200 129466481664 134860918400 152313507840 161833102080 165982668800 172621975552 190391884800 199179202560 202291377600 215777469440 248974003200 253855846400 258932963328 269721836800 323666204160 331965337600 380783769600 404582755200 431554938880 497948006400 517865926656 539443673600 647332408320 761567539200 809165510400 863109877760 995896012800 1078887347200 1294664816640 1618331020800 2157774694400 2589329633280 3236662041600 4315549388800 6473324083200 12946648166400
- Sum of all divisors σ(n): 49080877618320
- Sum of proper divisors (its aliquot sum) s(n): 36134229451920
- 12946648166400 is an abundant number, because the sum of its proper divisors (36134229451920) is greater than itself. Its abundance is 23187581285520
Bases of 12946648166400
- Binary: 101111000110011000000101110101110000000000002
- Hexadecimal: 0xBC6605D7000
- Base-36: 4L7LW1N9C
Squares and roots of 12946648166400
- 12946648166400 squared (129466481664002) is 167615698744548482088960000
- 12946648166400 cubed (129466481664003) is 2170061478810963387632937225682944000000
-
The
square root of 12946648166400 is 3598145.1007984655 -
The
cube root of 12946648166400 is 23481.1366152337
Scales and comparisons
How big is 12946648166400?- 12,946,648,166,400 seconds is equal to 411,663 years, 18 weeks, 6 days, 21 hours, 20 minutes.
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To count from 1 to 12,946,648,166,400 would take you about one million, twenty-nine thousand, one hundred fifty-eight 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 12946648166400 cubic inches would be around 1956.8 feet tall.
Recreational maths with 12946648166400
- 12946648166400 backwards is 00466184664921
- The number of decimal digits it has is: 14
- The sum of 12946648166400's digits is 57
- More coming soon!
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The information we have on file for 12946648166400 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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