164005387754916268800
164,005,387,754,916,268,800 is an even composite number composed of six prime numbers multiplied together.
164005387754916268800 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 164005387754916268800:
28 × 34 × 52 × 61 × 1997 × 2597079371
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 61 × 1997 × 2597079371)See below for interesting mathematical facts about the number 164005387754916268800 from the Numbermatics database.
Names of 164005387754916268800
- Cardinal: 164005387754916268800 can be written as One hundred sixty-four quintillion, five quadrillion, three hundred eighty-seven trillion, seven hundred fifty-four billion, nine hundred sixteen million, two hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.640053877549162688 × 1020
Factors of 164005387754916268800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 2597081439
Divisors of 164005387754916268800
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 61 64 72 75 80 81 90 96 100 108 120 122 128 135 144 150 160 162 180 183 192 200 216 225 240 244 256 270 288 300 305 320 324 360 366 384 400 405 432 450 480 488 540 549 576 600 610 640 648 675 720 732 768 800 810 864 900 915 960 976 1080 1098 1152 1200 1220 1280 1296 1350 1440 1464 1525 1600 1620 1647 1728 1800 1830 1920 1952 1997 2025 2160 2196 2304 2400 2440 2592 2700 2745 2880 2928 3050 3200 3240 3294 3456 3600 3660 3840 3904 3994 4050 4320 4392 4575 4800 4880 4941 5184 5400 5490 5760 5856 5991 6100 6400 6480 6588 6912 7200 7320 7808 7988 8100 8235 8640 8784 9150 9600 9760 9882 9985 10368 10800 10980 11520 11712 11982 12200 12960 13176 13725 14400 14640 15616 15976 16200 16470 17280 17568 17973 18300 19200 19520 19764 19970 20736 21600 21960 23424 23964 24400 24705 25920 26352 27450 28800 29280 29955 31952 32400 32940 34560 35136 35946 36600 39040 39528 39940 41175 43200 43920 46848 47928 48800 49410 49925 51840 52704 53919 54900 57600 58560 59910 63904 64800 65880 70272 71892 73200 78080 79056 79880 82350 86400 87840 89865 95856 97600 98820 99850 103680 105408 107838 109800 117120 119820 121817 123525 127808 129600 131760 140544 143784 146400 149775 158112 159760 161757 164700 172800 175680 179730 191712 195200 197640 199700 210816 215676 219600 234240 239640 243634 247050 255616 259200 263520 269595 287568 292800 299550 316224 319520 323514 329400 351360 359460 365451 383424 390400 395280 399400 421632 431352 439200 449325 479280 487268 494100 511232 518400 527040 539190 575136 585600 599100 609085 632448 639040 647028 658800 702720 718920 730902 766848 790560 798800 808785 862704 878400 898650 958560 974536 988200 1054080 1078380 1096353 1150272 1171200 1198200 1218170 1264896 1278080 1294056 1317600 1347975 1437840 1461804 1533696 1581120 1597600 1617570 1725408 1756800 1797300 1827255 1917120 1949072 1976400 2108160 2156760 2192706 2300544 2396400 2436340 2556160 2588112 2635200 2695950 2875680 2923608 3045425 3162240 3195200 3235140 3289059 3450816 3513600 3594600 3654510 3834240 3898144 3952800 4043925 4313520 4385412 4601088 4792800 4872680 5176224 5270400 5391900 5481765 5751360 5847216 6090850 6324480 6390400 6470280 6578118 6901632 7189200 7309020 7668480 7796288 7905600 8087850 8627040 8770824 9136275 9585600 9745360 9867177 10352448 10540800 10783800 10963530 11502720 11694432 12181700 12780800 12940560 13156236 13803264 14378400 14618040 15592576 15811200 16175700 16445295 17254080 17541648 18272550 19171200 19490720 19734354 20704896 21567600 21927060 23005440 23388864 24363400 25881120 26312472 27408825 28756800 29236080 31185152 31622400 32351400 32890590 34508160 35083296 36545100 38342400 38981440 39468708 41409792 43135200 43854120 46777728 48726800 49335885 51762240 52624944 54817650 57513600 58472160 64702800 65781180 69016320 70166592 73090200 77962880 78937416 82226475 86270400 87708240 93555456 97453600 98671770 103524480 105249888 109635300 115027200 116944320 129405600 131562360 140333184 146180400 155925760 157874832 164452950 172540800 175416480 194907200 197343540 207048960 210499776 219270600 233888640 246679425 258811200 263124720 280666368 292360800 315749664 328905900 345081600 350832960 389814400 394687080 420999552 438541200 467777280 493358850 517622400 526249440 584721600 631499328 657811800 701665920 779628800 789374160 841999104 877082400 986717700 1035244800 1052498880 1169443200 1262998656 1315623600 1403331840 1578748320 1754164800 1973435400 2104997760 2338886400 2525997312 2597079371 2631247200 3157496640 3508329600 3946870800 4209995520 5194158742 5262494400 6314993280 7016659200 7791238113 7893741600 10388317484 10524988800 12629986560 12985396855 15582476226 15787483200 20776634968 21049977600 23373714339 25970793710 31164952452 31574966400 38956190565 41553269936 46747428678 51941587420 62329904904 63149932800 64926984275 70121143017 77912381130 83106539872 93494857356 103883174840 116868571695 124659809808 129853968550 140242286034 155824762260 158421841631 166213079744 186989714712 194780952825 207766349680 210363429051 233737143390 249319619616 259707937100 280484572068 311649524520 316843683262 332426159488 350605715085 373979429424 389561905650 415532699360 420726858102 467474286780 475265524893 498639239232 519415874200 560969144136 584342858475 623299049040 633687366524 664852318976 701211430170 747958858848 779123811300 792109208155 831065398720 841453716204 934948573560 950531049786 997278478464 1038831748400 1051817145255 1121938288272 1168685716950 1246598098080 1267374733048 1402422860340 1425796574679 1495917717696 1558247622600 1584218416310 1662130797440 1682907432408 1753028575425 1869897147120 1901062099572 1994556956928 2077663496800 2103634290510 2243876576544 2337371433900 2376327624465 2493196196160 2534749466096 2804845720680 2851593149358 2991835435392 3116495245200 3168436832620 3324261594880 3365814864816 3506057150850 3739794294240 3802124199144 3960546040775 4155326993600 4207268581020 4277389724037 4487753153088 4674742867800 4752655248930 4986392392320 5069498932192 5186367503887 5259085726275 5609691441360 5703186298716 5983670870784 6232990490400 6336873665240 6731629729632 7012114301700 7128982873395 7479588588480 7604248398288 7921092081550 8310653987200 8414537162040 8554779448074 8975506306176 9349485735600 9505310497860 9972784784640 10138997864384 10372735007774 10518171452550 11219382882720 11406372597432 11881638122325 12465980980800 12673747330480 12832169172111 13463259459264 14024228603400 14257965746790 14959177176960 15208496796576 15559102511661 15842184163100 16621307974400 16829074324080 17109558896148 17951012612352 18698971471200 19010620995720 20277995728768 20745470015548 21036342905100 21386948620185 22438765765440 22812745194864 23763276244650 24931961961600 25347494660960 25664338344222 25931837519435 26926518918528 28048457206800 28515931493580 29918354353920 30416993593152 31118205023322 31684368326200 33658148648160 34219117792296 35644914366975 37397942942400 38021241991440 40555991457536 41490940031096 42072685810200 42773897240370 44877531530880 45625490389728 46677307534983 47526552489300 49863923923200 50694989321920 51328676688444 51863675038870 53853037837056 56096914413600 57031862987160 60833987186304 62236410046644 63368736652400 64160845860555 67316297296320 68438235584592 71289828733950 74795885884800 76042483982880 77795512558305 82981880062192 84145371620400 85547794480740 89755063061760 91250980779456 93354615069966 95053104978600 101389978643840 102657353376888 103727350077740 106934743100925 112193828827200 114063725974320 121667974372608 124472820093288 126737473304800 128321691721110 129659187597175 134632594592640 136876471169184 140031922604949 142579657467900 149591771769600 152084967965760 155591025116610 165963760124384 168290743240800 171095588961480 182501961558912 186709230139932 190106209957200 202779957287680 205314706753776 207454700155480 213869486201850 224387657654400 228127451948640 233386537674915 248945640186576 253474946609600 256643383442220 259318375194350 269265189185280 273752942338368 280063845209898 285159314935800 304169935931520 311182050233220 316368417737107 320804229302775 331927520248768 336581486481600 342191177922960 365003923117824 373418460279864 380212419914400 388977562791525 410629413507552 414909400310960 420095767814847 427738972403700 448775315308800 456254903897280 466773075349830 497891280373152 506949893219200 513286766884440 518636750388700 547505884676736 560127690419796 570318629871600 608339871863040 622364100466440 632736835474214 641608458605550 663855040497536 673162972963200 684382355845920 700159613024745 746836920559728 760424839828800 777955125583050 821258827015104 829818800621920 840191535629694 855477944807400 912509807794560 933546150699660 949105253211321 995782560746304 1013899786438400 1026573533768880 1037273500777400 1095011769353472 1120255380839592 1140637259743200 1166932688374575 1244728200932880 1265473670948428 1283216917211100 1327710080995072 1346325945926400 1368764711691840 1400319226049490 1493673841119456 1520849679657600 1555910251166100 1581842088685535 1642517654030208 1659637601243840 1680383071259388 1710955889614800 1825019615589120 1867092301399320 1898210506422642 1991565121492608 2053147067537760 2074547001554800 2100478839074235 2240510761679184 2281274519486400 2333865376749150 2489456401865760 2530947341896856 2566433834422200 2737529423383680 2800638452098980 2847315759633963 2987347682238912 3041699359315200 3111820502332200 3163684177371070 3285035308060416 3319275202487680 3360766142518776 3421911779229600 3500798065123725 3734184602798640 3796421012845284 3983130242985216 4106294135075520 4149094003109600 4200957678148470 4481021523358368 4562549038972800 4667730753498300 4745526266056605 4978912803731520 5061894683793712 5132867668844400 5475058846767360 5601276904197960 5694631519267926 5974695364477824 6223641004664400 6327368354742140 6638550404975360 6721532285037552 6843823558459200 7001596130247450 7468369205597280 7592842025690568 7909210443427675 8212588270151040 8298188006219200 8401915356296940 8541947278901889 8962043046716736 9125098077945600 9335461506996600 9491052532113210 9957825607463040 10123789367587424 10265735337688800 10502394195371175 11202553808395920 11389263038535852 11949390728955648 12447282009328800 12654736709484280 13443064570075104 13687647116918400 14003192260494900 14236578798169815 14936738411194560 15185684051381136 15818420886855350 16425176540302080 16596376012438400 16803830712593880 17083894557803778 17924086093433472 18670923013993200 18982105064226420 19915651214926080 20247578735174848 20531470675377600 21004788390742350 22405107616791840 22778526077071704 23727631330283025 24894564018657600 25309473418968560 25625841836705667 26886129140150208 27375294233836800 28006384520989800 28473157596339630 29873476822389120 30371368102762272 31636841773710700 33192752024876800 33607661425187760 34167789115607556 35848172186866944 37341846027986400 37964210128452840 40495157470349696 41062941350755200 42009576781484700 42709736394509445 44810215233583680 45557052154143408 47455262660566050 49789128037315200 50618946837937120 51251683673411334 53772258280300416 56012769041979600 56946315192679260 59746953644778240 60742736205524544 63273683547421400 67215322850375520 68335578231215112 71182893990849075 74683692055972800 75928420256905680 80990314940699392 82125882701510400 84019153562969400 85419472789018890 89620430467167360 91114104308286816 94910525321132100 99578256074630400 101237893675874240 102503367346822668 107544516560600832 112025538083959200 113892630385358520 121485472411049088 126547367094842800 128129209183528335 134430645700751040 136671156462430224 142365787981698150 149367384111945600 151856840513811360 168038307125938800 170838945578037780 179240860934334720 182228208616573632 189821050642264200 202475787351748480 205006734693645336 213548681972547225 224051076167918400 227785260770717040 242970944822098176 253094734189685600 256258418367056670 268861291401502080 273342312924860448 284731575963396300 298734768223891200 303713681027622720 336076614251877600 341677891156075560 364456417233147264 379642101284528400 404951574703496960 410013469387290672 427097363945094450 448102152335836800 455570521541434080 506189468379371200 512516836734113340 537722582803004160 546684625849720896 569463151926792600 607427362055245440 640646045917641675 672153228503755200 683355782312151120 728912834466294528 759284202569056800 820026938774581344 854194727890188900 896204304671673600 911141043082868160 1012378936758742400 1025033673468226680 1093369251699441792 1138926303853585200 1214854724110490880 1281292091835283350 1344306457007510400 1366711564624302240 1518568405138113600 1640053877549162688 1708389455780377800 1822282086165736320 2024757873517484800 2050067346936453360 2186738503398883584 2277852607707170400 2562584183670566700 2688612914015020800 2733423129248604480 3037136810276227200 3280107755098325376 3416778911560755600 3644564172331472640 4100134693872906720 4555705215414340800 5125168367341133400 5466846258497208960 6074273620552454400 6560215510196650752 6833557823121511200 8200269387745813440 9111410430828681600 10250336734682266800 10933692516994417920 13667115646243022400 16400538775491626880 18222820861657363200 20500673469364533600 27334231292486044800 32801077550983253760 41001346938729067200 54668462584972089600 82002693877458134400 164005387754916268800
- Sum of all divisors σ(n): 616652306738792300592
- Sum of proper divisors (its aliquot sum) s(n): 452646918983876031792
- 164005387754916268800 is an abundant number, because the sum of its proper divisors (452646918983876031792) is greater than itself. Its abundance is 288641531228959762992
Bases of 164005387754916268800
- Binary: 100011100100000010000010111100111001101011011111101111001011000000002
- Hexadecimal: 0x8E4082F39ADFBCB00
- Base-36: YM1APVO2QB400
Squares and roots of 164005387754916268800
- 164005387754916268800 squared (1640053877549162688002) is 26897767212640439204178624098913853440000
- 164005387754916268800 cubed (1640053877549162688003) is 4411378741450568586748783822481661086558289651554844672000000
-
The
square root of 164005387754916268800 is 12806458829.6264111639 -
The
cube root of 164005387754916268800 is 5473763.6151458721
Scales and comparisons
How big is 164005387754916268800?- 164,005,387,754,916,268,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 164,005,387,754,916,268,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 164005387754916268800 cubic inches would be around 456147 feet tall.
Recreational maths with 164005387754916268800
- 164005387754916268800 backwards is 008862619457783500461
- 164005387754916268800 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 164005387754916268800's digits is 90
- More coming soon!
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"Number 164005387754916268800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 164005387754916268800 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/164005387754916268800/
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The information we have on file for 164005387754916268800 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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