12940816688800
12,940,816,688,800 is an even composite number composed of nine prime numbers multiplied together.
What does the number 12940816688800 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
12940816688800 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 12940816688800:
25 × 52 × 7 × 11 × 13 × 19 × 37 × 127 × 181
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 13 × 19 × 37 × 127 × 181)See below for interesting mathematical facts about the number 12940816688800 from the Numbermatics database.
Names of 12940816688800
- Cardinal: 12940816688800 can be written as Twelve trillion, nine hundred forty billion, eight hundred sixteen million, six hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.29408166888 × 1013
Factors of 12940816688800
Divisors of 12940816688800
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 19 20 22 25 26 28 32 35 37 38 40 44 50 52 55 56 65 70 74 76 77 80 88 91 95 100 104 110 112 127 130 133 140 143 148 152 154 160 175 176 181 182 185 190 200 208 209 220 224 247 254 259 260 266 275 280 286 296 304 308 325 350 352 362 364 370 380 385 400 407 416 418 440 455 475 481 494 508 518 520 532 550 560 572 592 608 616 635 650 665 700 703 715 724 728 740 760 770 800 814 836 880 889 905 910 925 950 962 988 1001 1016 1036 1040 1045 1064 1100 1120 1144 1184 1232 1235 1267 1270 1295 1300 1330 1397 1400 1406 1430 1448 1456 1463 1480 1520 1540 1628 1651 1672 1729 1760 1778 1810 1820 1850 1900 1924 1925 1976 1991 2002 2032 2035 2072 2080 2090 2128 2200 2275 2288 2353 2405 2413 2464 2470 2534 2540 2590 2600 2660 2717 2794 2800 2812 2849 2860 2896 2912 2926 2960 3040 3080 3175 3256 3302 3325 3344 3367 3439 3458 3515 3556 3575 3620 3640 3700 3800 3848 3850 3952 3982 4004 4064 4070 4144 4180 4256 4400 4445 4525 4550 4576 4699 4706 4810 4826 4921 4940 5005 5068 5080 5180 5200 5225 5291 5320 5434 5588 5600 5624 5698 5720 5792 5852 5920 6160 6175 6335 6350 6475 6512 6604 6650 6688 6697 6734 6878 6916 6985 7030 7112 7150 7240 7280 7315 7400 7600 7696 7700 7733 7904 7964 8008 8140 8255 8288 8360 8645 8800 8890 9050 9100 9139 9398 9412 9620 9652 9779 9842 9880 9955 10010 10136 10160 10175 10360 10400 10450 10582 10640 10868 11176 11248 11396 11440 11557 11704 11765 12025 12065 12320 12350 12670 12700 12950 13024 13208 13300 13394 13468 13585 13756 13832 13937 13970 14060 14224 14245 14300 14480 14560 14630 14800 15200 15392 15400 15466 15928 16016 16280 16471 16510 16720 16835 16891 17195 17290 17575 17780 18100 18161 18200 18278 18796 18824 19019 19240 19304 19558 19684 19760 19910 20020 20272 20320 20350 20720 20900 21164 21280 21736 22225 22352 22496 22792 22880 22987 23114 23408 23495 23530 24050 24073 24130 24605 24700 25025 25340 25400 25883 25900 26416 26455 26543 26600 26788 26936 27170 27512 27664 27874 27940 28120 28448 28490 28600 28960 29260 29600 30800 30932 31369 31675 31856 32032 32560 32893 32942 33020 33440 33485 33670 33782 34390 34580 34925 35150 35560 36200 36322 36400 36556 36575 37037 37592 37648 37829 38038 38480 38608 38665 39116 39368 39520 39820 40040 40544 40700 41275 41440 41800 42328 43225 43472 44450 44704 44707 45584 45695 45974 46228 46816 46879 46990 47060 48100 48146 48260 48895 49210 49400 49775 50050 50680 50800 51689 51766 51800 52832 52910 53086 53200 53576 53872 54131 54340 55024 55328 55748 55880 56240 56980 57200 57785 58520 58825 60325 61087 61600 61864 62738 63350 63712 63973 65120 65786 65884 66040 66970 67340 67564 67925 68780 69160 69685 69850 70300 71120 71225 72400 72644 72800 73112 73150 73667 74074 75184 75296 75658 76076 76960 77216 77330 78232 78736 79640 80080 81400 82355 82550 83600 84175 84455 84656 85975 86450 86944 87061 88900 89281 89414 90805 91168 91390 91948 92456 93758 93980 94120 95095 96200 96292 96520 97790 98420 98800 99550 100100 100529 101360 101600 103378 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663575 669700 671957 673400 675640 687800 690118 691600 696488 696850 703703 711200 714248 715312 723646 724724 726440 731120 735584 736670 740740 743204 750064 751840 756580 760760 770336 773300 782320 784225 787360 796400 800800 804232 804545 822325 823550 827024 828256 844550 846560 849376 850519 855218 866096 870610 873506 878332 890701 892810 894140 905905 908050 913900 919480 924560 925925 929005 937580 939800 941200 945725 950950 957671 962920 965200 977392 977900 982091 983554 984200 1003808 1005290 1011428 1013600 1017016 1017944 1023568 1031338 1033780 1035320 1052576 1058200 1059212 1061720 1071520 1082620 1086800 1097915 1114960 1117600 1117675 1139600 1149350 1155700 1160653 1170400 1171975 1178672 1185184 1195324 1203650 1210528 1218854 1221740 1237280 1249934 1251796 1254760 1264285 1271270 1272430 1279460 1287272 1292225 1294150 1315720 1317680 1320800 1324015 1327150 1339400 1343914 1346800 1351280 1353275 1375600 1380236 1383200 1392976 1393700 1399673 1407406 1428496 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446851405 452476108 454223120 454893725 460199740 463164520 464261200 467785450 470369900 476290640 480428300 483082600 486496868 487541600 489163360 489885550 499645432 499973600 509480972 510687320 517115552 523919704 525942560 536295760 537565600 538079696 549970960 550790240 552837350 559869200 562962400 565595135 567778900 575249675 578955650 582263968 595363300 608121085 611454200 619177832 624556790 635912368 636851215 638359150 646394440 649965680 654899630 657428200 661663600 670369700 672599620 680415200 687463700 688487800 707999600 711033884 712560800 714962248 727829960 736319584 748456720 752591840 766136800 768685280 773972290 783816880 785672800 794890460 807993050 812457100 836726800 840312772 840749525 851369519 874379506 884539760 888792355 893702810 904952216 908446240 909787450 920399480 926329040 928522400 935570900 940739800 952581280 960856600 966165200 972993736 979771100 993613075 999290864 1018961944 1021374640 1047839408 1050390965 1072591520 1076159392 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3040605425 3095889160 3122783950 3179561840 3184256075 3231972200 3249828400 3274498150 3361251088 3362998100 3405478076 3497518024 3555169420 3574811240 3619808864 3639149800 3681597920 3742283600 3762959200 3843426400 3869861450 3891974944 3919084400 3974452300 4075847776 4201563860 4256847595 4371897530 4422698800 4443961775 4468514050 4524761080 4542231200 4601997400 4621720246 4631645200 4762906400 4864968680 4977237188 4996454320 5094809720 5106873200 5239197040 5251954825 5362957600 5380796960 5499709600 5655951350 5688271072 5882189404 6081210850 6191778320 6221546485 6245567900 6359123680 6368512150 6463944400 6499656800 6548996300 6722502176 6725996200 6810956152 6995036048 7110338840 7149622480 7278299600 7352736755 7484567200 7739722900 7838168800 7948904600 8403127720 8513695190 8743795060 8845397600 8887923550 8937028100 9049522160 9203994800 9243440492 9263290400 9729937360 9954474376 9992908640 10189619440 10213746400 10478394080 10503909650 10929743825 11311902700 11554300615 11764378808 12162421700 12383556640 12443092970 12491135800 12737024300 12927888800 13097992600 13451992400 13621912304 13990072096 14220677680 14299244960 14556599200 14705473510 15479445800 15897809200 16176020861 16806255440 17027390380 17487590120 17775847100 17874056200 18099044320 18407989600 18486880984 19459874720 19908948752 20379238880 21007819300 21284237975 21859487650 22623805400 23108601230 23528757616 24324843400 24886185940 24982271600 25474048600 26195985200 26903984800 27243824608 28441355360 29410947020 30958891600 31107732425 31795618400 32352041722 33612510880 34054780760 34975180240 35551694200 35748112400 36763683775 36973761968 39817897504 42015638600 42568475950 43718975300 45247610800 46217202460 47057515232 48649686800 49772371880 49964543200 50948097200 52391970400 57771503075 58821894040 61917783200 62215464850 64704083444 68109561520 69950360480 71103388400 71496224800 73527367550 73947523936 80880104305 84031277200 85136951900 87437950600 90495221600 92434404920 97299373600 99544743760 101896194400 115543006150 117643788080 124430929700 129408166888 136219123040 142206776800 147054735100 161760208610 168062554400 170273903800 174875901200 184868809840 199089487520 231086012300 235287576160 248861859400 258816333776 294109470200 323520417220 340547807600 349751802400 369737619680 404400521525 462172024600 497723718800 517632667552 588218940400 647040834440 681095615200 808801043050 924344049200 995447437600 1176437880800 1294081668880 1617602086100 1848688098400 2588163337760 3235204172200 6470408344400 12940816688800
- Sum of all divisors σ(n): 46472545566720
- Sum of proper divisors (its aliquot sum) s(n): 33531728877920
- 12940816688800 is an abundant number, because the sum of its proper divisors (33531728877920) is greater than itself. Its abundance is 20590912189120
Bases of 12940816688800
- Binary: 101111000101000001001100100000100110101000002
- Hexadecimal: 0xBC504C826A0
- Base-36: 4L4XG4UCG
Squares and roots of 12940816688800
- 12940816688800 squared (129408166888002) is 167464736573124596045440000
- 12940816688800 cubed (129408166888003) is 2167130457830986494066588435139072000000
-
The
square root of 12940816688800 is 3597334.6645537443 -
The
cube root of 12940816688800 is 23477.6105987087
Scales and comparisons
How big is 12940816688800?- 12,940,816,688,800 seconds is equal to 411,477 years, 48 weeks, 6 days, 22 hours, 26 minutes, 40 seconds.
-
To count from 1 to 12,940,816,688,800 would take you about one million, twenty-eight thousand, six hundred ninety-four 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 12940816688800 cubic inches would be around 1956.5 feet tall.
Recreational maths with 12940816688800
- 12940816688800 backwards is 00888661804921
- The number of decimal digits it has is: 14
- The sum of 12940816688800's digits is 61
- More coming soon!
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"Number 12940816688800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 12940816688800 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/12940816688800/
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Numbermatics. 2024. "Number 12940816688800 - Facts about the integer". https://numbermatics.com/n/12940816688800/
The information we have on file for 12940816688800 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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