42164002214400
42,164,002,214,400 is an even composite number composed of six prime numbers multiplied together.
42164002214400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 42164002214400:
29 × 3 × 52 × 11 × 972 × 1032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 97 × 97 × 103 × 103)See below for interesting mathematical facts about the number 42164002214400 from the Numbermatics database.
Names of 42164002214400
- Cardinal: 42164002214400 can be written as Forty-two trillion, one hundred sixty-four billion, two million, two hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 4.21640022144 × 1013
Factors of 42164002214400
Divisors of 42164002214400
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 97 100 103 110 120 128 132 150 160 165 176 192 194 200 206 220 240 256 264 275 291 300 309 320 330 352 384 388 400 412 440 480 485 512 515 528 550 582 600 618 640 660 704 768 776 800 824 825 880 960 970 1030 1056 1067 1100 1133 1164 1200 1236 1280 1320 1408 1455 1536 1545 1552 1600 1648 1650 1760 1920 1940 2060 2112 2134 2200 2266 2328 2400 2425 2472 2560 2575 2640 2816 2910 3090 3104 3200 3201 3296 3300 3399 3520 3840 3880 4120 4224 4268 4400 4532 4656 4800 4850 4944 5150 5280 5335 5632 5665 5820 6180 6208 6400 6402 6592 6600 6798 7040 7275 7680 7725 7760 8240 8448 8536 8800 9064 9312 9409 9600 9700 9888 9991 10300 10560 10609 10670 11330 11640 12360 12416 12800 12804 13184 13200 13596 14080 14550 15450 15520 16005 16480 16896 16995 17072 17600 18128 18624 18818 19200 19400 19776 19982 20600 21120 21218 21340 22660 23280 24720 24832 25608 26368 26400 26675 27192 28160 28227 28325 29100 29973 30900 31040 31827 32010 32960 33990 34144 35200 36256 37248 37636 38400 38800 39552 39964 41200 42240 42436 42680 45320 46560 47045 49440 49664 49955 51216 52736 52800 53045 53350 54384 56454 56650 58200 59946 61800 62080 63654 64020 65920 67980 68288 70400 72512 74496 75272 77600 79104 79928 80025 82400 84480 84872 84975 85360 90640 93120 94090 98880 99910 102432 103499 105600 106090 106700 108768 109901 112908 113300 116400 116699 119892 123600 124160 127308 128040 131840 135960 136576 140800 141135 145024 148992 149865 150544 155200 158208 159135 159856 160050 164800 169744 169950 170720 181280 186240 188180 197760 199820 204864 206998 211200 212180 213400 217536 219802 225816 226600 232800 233398 235225 239784 247200 248320 249775 254616 256080 263680 265225 271920 273152 282270 290048 299730 301088 310400 310497 318270 319712 320100 329600 329703 339488 339900 341440 350097 362560 372480 376360 395520 399640 409728 413996 422400 424360 426800 435072 439604 451632 453200 465600 466796 470450 479568 494400 499550 509232 512160 517495 530450 543840 546304 549505 564540 580096 583495 599460 602176 620800 620994 636540 639424 640200 659200 659406 678976 679800 682880 700194 705675 725120 744960 749325 752720 791040 795675 799280 819456 827992 848720 853600 870144 879208 903264 906400 931200 933592 940900 959136 969127 988800 999100 1018464 1024320 1029073 1034990 1060900 1087680 1099010 1129080 1166990 1198920 1204352 1241600 1241988 1273080 1278848 1280400 1318400 1318812 1357952 1359600 1365760 1400388 1411350 1450240 1498650 1505440 1552485 1591350 1598560 1638912 1648515 1655984 1697440 1707200 1740288 1750485 1758416 1806528 1812800 1862400 1867184 1881800 1918272 1938254 1977600 1998200 2036928 2048640 2058146 2069980 2121800 2175360 2198020 2258160 2333980 2397840 2408704 2483976 2546160 2557696 2560800 2587475 2637624 2715904 2719200 2731520 2747525 2800776 2822700 2900480 2907381 2917475 2997300 3010880 3087219 3104970 3182700 3197120 3297030 3311968 3394880 3414400 3500970 3516832 3613056 3625600 3724800 3734368 3763600 3836544 3876508 3955200 3996400 4073856 4097280 4116292 4139960 4243600 4350720 4396040 4516320 4667960 4795680 4817408 4845635 4967952 5092320 5115392 5121600 5145365 5174950 5275248 5431808 5438400 5495050 5601552 5645400 5814762 5834950 5994600 6021760 6174438 6209940 6365400 6394240 6594060 6623936 6789760 6828800 7001940 7033664 7226112 7251200 7468736 7527200 7673088 7753016 7762425 7992800 8147712 8194560 8232584 8242575 8279920 8487200 8701440 8752425 8792080 9032640 9335920 9591360 9691270 9935904 10184640 10243200 10290730 10349900 10550496 10660397 10876800 10990100 11203104 11290800 11319803 11629524 11669900 11989200 12043520 12348876 12419880 12730800 12788480 13188120 13247872 13579520 13657600 14003880 14067328 14452224 14502400 14536905 14937472 15054400 15346176 15436095 15506032 15524850 15985600 16295424 16465168 16485150 16559840 16974400 17504850 17584160 18065280 18671840 19182720 19382540 19871808 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105504960 106603970 112031040 113198030 116295240 120435200 123488760 124048256 124198800 127884800 127924764 131721344 131881200 132478720 135795200 135837636 140038800 140673280 145369050 149374720 154360950 155060320 158974464 159905955 164651680 165598400 168807936 169797045 170566352 175841600 179249664 180652800 181116848 186072384 186718400 191827200 193825400 197582016 198718080 199640162 203692800 205814600 211009920 213207940 224062080 226396060 232590480 246977520 248096512 248397600 255849528 263442688 263762400 264957440 266509925 271675272 280077600 281346560 282995075 290738100 298749440 299460243 308721900 310120640 319811910 329303360 331196800 339594090 341132704 351683200 361305600 362233696 372144768 373436800 383654400 387650800 395164032 397436160 399280324 407385600 411629200 422019840 426415880 448124160 452792120 465180960 493955040 496193024 496795200 499100405 511699056 526885376 527524800 533019850 543350544 560155200 565990150 581476200 598920486 617443800 620241280 639623820 658606720 662393600 679188180 682265408 703366400 724467392 744289536 746873600 775301600 790328064 794872320 798560648 799529775 823258400 844039680 848985225 852831760 896248320 905584240 930361920 987910080 993590400 998200810 1023398112 1055049600 1066039700 1086701088 1098020891 1120310400 1131980300 1162952400 1197840972 1234887600 1240482560 1279247640 1317213440 1324787200 1358376360 1364530816 1406732800 1448934784 1488579072 1493747200 1497301215 1550603200 1580656128 1597121296 1599059550 1646516800 1697970450 1705663520 1811168480 1860723840 1975820160 1987180800 1996401620 2046796224 2110099200 2132079400 2173402176 2196041782 2240620800 2263960600 2325904800 2395681944 2469775200 2480965120 2495502025 2558495280 2634426880 2716752720 2729061632 2897869568 2994602430 3101206400 3194242592 3198119100 3293033600 3294062673 3395940900 3411327040 3622336960 3721447680 3951640320 3974361600 3992803240 4093592448 4220198400 4264158800 4346804352 4392083564 4481241600 4527921200 4651809600 4791363888 4939550400 4991004050 5116990560 5433505440 5458123264 5490104455 5795739136 5989204860 6202412800 6388485184 6396238200 6586067200 6588125346 6791881800 6822654080 7244673920 7442895360 7486506075 7903280640 7985606480 8187184896 8528317600 8693608704 8784167128 9055842400 9303619200 9582727776 9879100800 9982008100 10233981120 10867010880 10980208910 11978409720 12404825600 12776970368 12792476400 13172134400 13176250692 13583763600 13645308160 14489347840 14973012150 15971212960 16374369792 16470313365 17056635200 17387217408 17568334256 18111684800 18607238400 19165455552 19758201600 19964016200 20467962240 21734021760 21960417820 23956819440 25553940736 25584952800 26352501384 27167527200 27290616320 27450522275 28978695680 29946024300 31942425920 32940626730 34113270400 35136668512 36223369600 37214476800 38330911104 39516403200 39928032400 40935924480 43468043520 43920835640 47913638880 51107881472 51169905600 52705002768 54335054400 54901044550 59892048600 63884851840 65881253460 68226540800 70273337024 72446739200 76661822208 79856064800 81871848960 82351566825 86936087040 87841671280 95827277760 102339811200 105410005536 108670108800 109802089100 119784097200 127769703680 131762506920 136453081600 140546674048 144893478400 153323644416 159712129600 164703133650 175683342560 191654555520 204679622400 210820011072 217340217600 219604178200 239568194400 255539407360 263525013840 281093348096 319424259200 329406267300 351366685120 383309111040 409359244800 421640022144 434680435200 439208356400 479136388800 527050027680 562186696192 638848518400 658812534600 702733370240 766618222080 843280044288 878416712800 958272777600 1054100055360 1277697036800 1317625069200 1405466740480 1686560088576 1756833425600 1916545555200 2108200110720 2635250138400 2810933480960 3513666851200 3833091110400 4216400221440 5270500276800 7027333702400 8432800442880 10541000553600 14054667404800 21082001107200 42164002214400
- Sum of all divisors σ(n): 155036217363984
- Sum of proper divisors (its aliquot sum) s(n): 112872215149584
- 42164002214400 is an abundant number, because the sum of its proper divisors (112872215149584) is greater than itself. Its abundance is 70708212935184
Bases of 42164002214400
- Binary: 10011001011001000100100101111111010010000000002
- Hexadecimal: 0x2659125FD200
- Base-36: EY1VI9XXC
Squares and roots of 42164002214400
- 42164002214400 squared (421640022144002) is 1777803082735928103567360000
- 42164002214400 cubed (421640022144003) is 74959293117244818969253359579561984000000
-
The
square root of 42164002214400 is 6493381.4160574305 -
The
cube root of 42164002214400 is 34805.4518186095
Scales and comparisons
How big is 42164002214400?- 42,164,002,214,400 seconds is equal to 1,340,684 years, 44 weeks, 21 hours, 20 minutes.
-
To count from 1 to 42,164,002,214,400 would take you about three million, three hundred fifty-one thousand, seven hundred twelve 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 42164002214400 cubic inches would be around 2900.5 feet tall.
Recreational maths with 42164002214400
- 42164002214400 backwards is 00441220046124
- 42164002214400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42164002214400's digits is 30
- More coming soon!
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The information we have on file for 42164002214400 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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