13801294416000
13,801,294,416,000 is an even composite number composed of seven prime numbers multiplied together.
13801294416000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13801294416000:
27 × 3 × 53 × 7 × 132 × 172 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 17 × 17 × 29 × 29)See below for interesting mathematical facts about the number 13801294416000 from the Numbermatics database.
Names of 13801294416000
- Cardinal: 13801294416000 can be written as Thirteen trillion, eight hundred one billion, two hundred ninety-four million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3801294416 × 1013
Factors of 13801294416000
Divisors of 13801294416000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 25 26 28 29 30 32 34 35 39 40 42 48 50 51 52 56 58 60 64 65 68 70 75 78 80 84 85 87 91 96 100 102 104 105 112 116 119 120 125 128 130 136 140 145 150 156 160 168 169 170 174 175 182 192 195 200 203 204 208 210 221 224 232 238 240 250 255 260 272 273 280 289 290 300 312 320 325 336 338 340 348 350 357 364 375 377 384 390 400 406 408 416 420 425 435 442 448 455 464 476 480 493 500 507 510 520 525 544 546 560 578 580 595 600 609 624 640 650 663 672 676 680 696 700 714 725 728 750 754 780 800 812 816 832 840 841 845 850 867 870 875 884 896 910 928 952 960 975 986 1000 1014 1015 1020 1040 1050 1088 1092 1105 1120 1131 1156 1160 1183 1190 1200 1218 1248 1275 1300 1326 1344 1352 1360 1365 1392 1400 1428 1445 1450 1456 1479 1500 1508 1547 1560 1600 1624 1625 1632 1664 1680 1682 1690 1700 1734 1740 1750 1768 1785 1820 1856 1885 1904 1920 1950 1972 2000 2023 2028 2030 2040 2080 2100 2125 2175 2176 2184 2210 2240 2262 2275 2312 2320 2366 2380 2400 2436 2465 2496 2523 2535 2550 2600 2625 2639 2652 2688 2704 2720 2730 2784 2800 2856 2873 2890 2900 2912 2958 2975 3000 3016 3045 3094 3120 3200 3248 3250 3264 3315 3360 3364 3380 3400 3451 3468 3480 3500 3536 3549 3570 3625 3640 3712 3757 3770 3808 3900 3944 4000 4046 4056 4060 4080 4160 4200 4205 4225 4250 4335 4350 4368 4420 4480 4524 4550 4624 4640 4641 4732 4760 4800 4872 4875 4901 4930 4992 5046 5070 5075 5100 5200 5250 5278 5304 5408 5440 5460 5525 5568 5600 5655 5712 5746 5780 5800 5824 5887 5915 5916 5950 6000 6032 6069 6090 6188 6240 6375 6409 6496 6500 6528 6630 6720 6728 6760 6800 6825 6902 6936 6960 7000 7072 7098 7140 7225 7250 7280 7395 7514 7540 7616 7735 7800 7888 7917 8000 8092 8112 8120 8160 8320 8381 8400 8410 8450 8500 8619 8670 8700 8736 8840 8925 9048 9100 9248 9280 9282 9425 9464 9520 9600 9744 9750 9802 9860 10092 10115 10140 10150 10200 10353 10400 10500 10556 10608 10816 10875 10880 10920 10933 11050 11136 11200 11271 11310 11375 11424 11492 11560 11600 11648 11774 11830 11832 11900 12000 12064 12138 12180 12325 12376 12480 12615 12675 12750 12818 12992 13000 13195 13260 13440 13456 13520 13600 13650 13804 13872 13920 14000 14144 14196 14280 14297 14365 14450 14500 14560 14703 14790 14875 15028 15080 15225 15232 15470 15600 15776 15834 16000 16184 16224 16240 16320 16575 16762 16800 16820 16900 17000 17238 17255 17340 17400 17472 17661 17680 17745 17850 18096 18200 18496 18560 18564 18785 18850 18928 19040 19227 19488 19500 19604 19720 20111 20184 20230 20280 20300 20400 20706 20800 21000 21025 21112 21125 21216 21632 21675 21750 21840 21866 22100 22400 22542 22620 22750 22848 22984 23120 23200 23205 23548 23660 23664 23800 24000 24128 24276 24360 24505 24650 24752 24960 25143 25230 25350 25375 25500 25636 25984 26000 26299 26390 26520 26912 27040 27200 27300 27608 27625 27744 27840 28000 28275 28288 28392 28560 28594 28730 28900 29000 29120 29406 29435 29575 29580 29750 30056 30160 30345 30450 30940 31200 31552 31668 32045 32368 32448 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699862800 704004000 707758688 708194500 717808000 724857900 729147000 732164160 734697600 743444000 743604225 746177250 758312880 762671000 773181760 777756800 780616200 781456000 789909250 793177840 795922400 799843200 800632000 811840848 816644640 820528800 821505620 823368000 832657280 845667550 849833400 850671500 852774000 862580901 871624000 874828500 884698360 892132800 906072375 906488960 915205200 918372000 927818112 933150400 938672000 947891100 951813408 955106880 960758400 965328000 966477200 972196000 975770250 985806744 991472300 994903000 999804000 1011083840 1014801060 1020805800 1025661000 1026882025 1040821600 1045948800 1061638032 1062291750 1076712000 1082454464 1088859520 1094038400 1105872950 1115166000 1119780480 1133111200 1137032000 1144006500 1150107868 1159772640 1166438000 1166635200 1172184000 1184863875 1189766760 1193883600 1200948000 1208096500 1213300608 1220273600 1224496000 1232258430 1239340375 1248985920 1262352000 1263854800 1268501325 1269084544 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2552014500 2602054000 2614872000 2628817984 2654095080 2706136160 2719466880 2722148800 2735096000 2764682375 2799451200 2816016000 2831034752 2832778000 2875269670 2899431600 2916588000 2973776000 2974416900 2984709000 3033251520 3050684000 3080646075 3122464800 3159637000 3172711360 3183689600 3247363392 3266578560 3282115200 3286022480 3317618850 3382670200 3399333600 3402686000 3411096000 3450323604 3499314000 3538793440 3624289500 3660820800 3673488000 3718021125 3791564400 3807253632 3865908800 3888784000 3903081000 3943226976 3965889200 3979612000 3999216000 4059204240 4083223200 4102644000 4107528100 4163286400 4228337750 4246552128 4249167000 4312904505 4423491800 4460664000 4532444800 4576026000 4600431472 4639090560 4665752000 4739455500 4759067040 4775534400 4803792000 4832386000 4929033720 4957361500 5055419200 5074005300 5104029000 5134410125 5204108000 5229744000 5257635968 5308190160 5412272320 5444297600 5470192000 5529364750 5598902400 5665556000 5750539340 5798863200 5833176000 5948833800 5969418000 6066503040 6101368000 6161292150 6244929600 6319274000 6342506625 6345422720 6494726784 6572044960 6635237700 6765340400 6798667200 6805372000 6822192000 6900647208 6998628000 7077586880 7188174175 7248579000 7321641600 7436042250 7583128800 7731817600 7806162000 7886453952 7931778400 7959224000 8118408480 8166446400 8205288000 8215056200 8294047125 8456675500 8493104256 8498334000 8625809010 8846983600 8921328000 9152052000 9200862944 9331504000 9478911000 9518134080 9551068800 9664772000 9858067440 9914723000 10110838400 10148010600 10208058000 10268820250 10408216000 10616380320 10824544640 11058729500 11331112000 11501078680 11597726400 11666352000 11897667600 11938836000 12202736000 12322584300 12489859200 12638548000 12685013250 13144089920 13270475400 13530680800 13597334400 13610744000 13801294416 13997256000 14155173760 14376348350 14497158000 14872084500 15166257600 15403230375 15612324000 15772907904 15863556800 15918448000 16236816960 16332892800 16410576000 16430112400 16588094250 16913351000 16996668000 17251618020 17693967200 18304104000 18401725888 18957822000 19036268160 19329544000 19716134880 19829446000 20296021200 20416116000 20537640500 20816432000 21232760640 21564522525 22117459000 22662224000 23002157360 23195452800 23795335200 23877672000 24645168600 25277096000 25370026500 26288179840 26540950800 27061361600 27221488000 27602588832 27994512000 28752696700 28994316000 29744169000 30332515200 30806460750 31224648000 31727113600 32473633920 32860224800 33176188500 33826702000 33993336000 34503236040 35387934400 35940870875 36608208000 36803451776 37915644000 38659088000 39432269760 39658892000 40592042400 40832232000 41075281000 42465521280 43129045050 44234918000 46004314720 47590670400 47755344000 49290337200 50554192000 50740053000 53081901600 54122723200 55205177664 57505393400 57988632000 59488338000 61612921500 62449296000 65720449600 66352377000 67653404000 67986672000 69006472080 70775868800 71881741750 75831288000 78864539520 79317784000 81184084800 81664464000 82150562000 86258090100 88469836000 92008629440 95181340800 98580674400 101480106000 106163803200 107822612625 110410355328 115010786800 115977264000 118976676000 123225843000 131440899200 132704754000 135306808000 138012944160 143763483500 151662576000 158635568000 162368169600 164301124000 172516180200 176939672000 184017258880 197161348800 202960212000 212327606400 215645225250 230021573600 237953352000 246451686000 265409508000 270613616000 276025888320 287526967000 328602248000 345032360400 353879344000 394322697600 405920424000 431290450500 460043147200 475906704000 492903372000 530819016000 552051776640 575053934000 657204496000 690064720800 811840848000 862580901000 920086294400 985806744000 1061638032000 1150107868000 1380129441600 1725161802000 1971613488000 2300215736000 2760258883200 3450323604000 4600431472000 6900647208000 13801294416000
- Sum of all divisors σ(n): 62290580376960
- Sum of proper divisors (its aliquot sum) s(n): 48489285960960
- 13801294416000 is an abundant number, because the sum of its proper divisors (48489285960960) is greater than itself. Its abundance is 34687991544960
Bases of 13801294416000
- Binary: 110010001101010111010100000001001000100000002
- Hexadecimal: 0xC8D5D404880
- Base-36: 4W486CTXC
Squares and roots of 13801294416000
- 13801294416000 squared (138012944160002) is 190475727557112781056000000
- 13801294416000 cubed (138012944160003) is 2628811595117517946270403383296000000000
-
The
square root of 13801294416000 is 3715009.3426531245 -
The
cube root of 13801294416000 is 23986.8529939357
Scales and comparisons
How big is 13801294416000?- 13,801,294,416,000 seconds is equal to 438,838 years, 24 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 13,801,294,416,000 would take you about one million, ninety-seven thousand and ninety-six 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 13801294416000 cubic inches would be around 1998.9 feet tall.
Recreational maths with 13801294416000
- 13801294416000 backwards is 00061449210831
- 13801294416000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13801294416000's digits is 39
- More coming soon!
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Cite this page
MLA style:
"Number 13801294416000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 13801294416000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/13801294416000/
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The information we have on file for 13801294416000 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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