379242148053954931200
379,242,148,053,954,931,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 379242148053954931200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
379242148053954931200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 379242148053954931200:
29 × 32 × 52 × 73 × 132 × 56791494043
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 56791494043)See below for interesting mathematical facts about the number 379242148053954931200 from the Numbermatics database.
Names of 379242148053954931200
- Cardinal: 379242148053954931200 can be written as Three hundred seventy-nine quintillion, two hundred forty-two quadrillion, one hundred forty-eight trillion, fifty-three billion, nine hundred fifty-four million, nine hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 3.792421480539549312 × 1020
Factors of 379242148053954931200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 56791494073
Divisors of 379242148053954931200
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 126 128 130 140 144 147 150 156 160 168 169 175 180 182 192 195 196 200 208 210 224 225 234 240 245 252 256 260 273 280 288 294 300 312 315 320 325 336 338 343 350 360 364 384 390 392 400 416 420 441 448 450 455 468 480 490 504 507 512 520 525 546 560 576 585 588 600 624 630 637 640 650 672 676 686 700 720 728 735 768 780 784 800 819 832 840 845 882 896 900 910 936 960 975 980 1008 1014 1029 1040 1050 1092 1120 1152 1170 1176 1183 1200 1225 1248 1260 1274 1280 1300 1344 1352 1365 1372 1400 1440 1456 1470 1521 1536 1560 1568 1575 1600 1638 1664 1680 1690 1715 1764 1792 1800 1820 1872 1911 1920 1950 1960 2016 2028 2058 2080 2100 2184 2205 2240 2275 2304 2340 2352 2366 2400 2450 2496 2520 2535 2548 2560 2600 2688 2704 2730 2744 2800 2880 2912 2925 2940 3042 3087 3120 3136 3150 3185 3200 3276 3328 3360 3380 3430 3528 3549 3584 3600 3640 3675 3744 3822 3840 3900 3920 4032 4056 4095 4116 4160 4200 4225 4368 4410 4459 4480 4550 4608 4680 4704 4732 4800 4900 4992 5040 5070 5096 5145 5200 5376 5408 5460 5488 5600 5733 5760 5824 5850 5880 5915 6084 6174 6240 6272 6300 6370 6400 6552 6656 6720 6760 6825 6860 7056 7098 7200 7280 7350 7488 7605 7644 7680 7800 7840 8064 8112 8190 8232 8281 8320 8400 8450 8575 8736 8820 8918 8960 9100 9360 9408 9464 9555 9600 9800 9984 10080 10140 10192 10290 10400 10647 10752 10816 10920 10976 11025 11200 11466 11520 11648 11700 11760 11830 12168 12348 12480 12544 12600 12675 12740 12800 13104 13377 13440 13520 13650 13720 14112 14196 14400 14560 14700 14976 15210 15288 15435 15600 15680 15925 16128 16224 16380 16464 16562 16640 16800 16900 17150 17472 17640 17745 17836 17920 18200 18720 18816 18928 19110 19200 19600 19968 20160 20280 20384 20475 20580 20800 21294 21632 21840 21952 22050 22295 22400 22932 23040 23296 23400 23520 23660 24336 24696 24843 24960 25088 25200 25350 25480 25725 26208 26754 26880 27040 27300 27440 28224 28392 28665 28800 29120 29400 29575 29952 30420 30576 30870 31200 31360 31850 32256 32448 32760 32928 33124 33280 33600 33800 34300 34944 35280 35490 35672 36400 37440 37632 37856 38025 38220 38400 39200 40131 40320 40560 40768 40950 41160 41405 41600 42588 43264 43680 43904 44100 44590 44800 45864 46592 46800 47040 47320 47775 48672 49392 49686 49920 50400 50700 50960 51450 52416 53235 53508 53760 54080 54600 54880 56448 56784 57330 57600 57967 58240 58800 59150 59904 60840 61152 61740 62400 62720 63700 64896 65520 65856 66248 66885 67200 67600 68600 69888 70560 70980 71344 72800 74529 74880 75264 75712 76050 76440 77175 78400 80262 80640 81120 81536 81900 82320 82810 83200 85176 86528 87360 87808 88200 88725 89180 89600 91728 93600 94080 94640 95550 97344 98784 99372 99840 100800 101400 101920 102900 104832 106470 107016 108160 109200 109760 111475 112896 113568 114660 115200 115934 116480 117600 118300 121680 122304 123480 124215 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112869686920819920 113954972371981650 115763781457251200 118513171266860916 119071318070315520 120394332715541248 120931807415164200 121551970530113760 122851359913817600 124668687723193600 128993927909508480 129655435232121344 130234254139407600 131681301407623240 135443624304983904 138207779903044800 138916537748701440 140252273688592800 141087108651024900 145862364636136512 148141464083576145 148839147587894400 149602425267832320 150492915894426560 151939963162642200 154792713491410176 158017561689147888 160288312786963200 161242409886885600 162069294040151680 164601626759529050 166699845298441728 169304530381229880 171991903879344640 173645672185876800 180591499073311872 182327955795170640 184277039870726400 187003031584790400 188116144868033200 193490891864262720 194483152848182016 197521952111434860 198452196783859200 202586617550189600 208374806623052160 210690082252197184 211630662976537350 214989879849180800 221132447844871680 224403637901748480 225739373841639840 227909944743963300 231527562914502400 237026342533721832 240788665431082496 241863614830328400 243103941060227520 246902440139293575 249337375446387200 257987855819016960 260468508278815200 263362602815246480 270887248609967808 276415559806089600 277833075497402880 280504547377185600 282174217302049800 291724729272273024 296282928167152290 297678295175788800 300985831788853120 303879926325284400 309585426982820352 316035123378295776 320576625573926400 322484819773771200 324138588080303360 329203253519058100 338609060762459760 347291344371753600 361182998146623744 364655911590341280 368554079741452800 374006063169580800 376232289736066400 386981783728525440 388966305696364032 395043904222869720 405173235100379200 416749613246104320 421380164504394368 423261325953074700 429979759698361600 448807275803496960 451478747683279680 455819889487926600 463055125829004800 474052685067443664 483727229660656800 486207882120455040 493804880278587150 515975711638033920 520937016557630400 526725205630492960 541774497219935616 552831119612179200 561009094754371200 564348434604099600 583449458544546048 592565856334304580 595356590351577600 601971663577706240 607759852650568800 632070246756591552 644969639547542400 648277176160606720 658406507038116200 677218121524919520 694582688743507200 722365996293247488 729311823180682560 740707320417880725 748012126339161600 752464579472132800 773963567457050880 790087808445739440 810346470200758400 833499226492208640 842760329008788736 846522651906149400 859959519396723200 902957495366559360 911639778975853200 948105370134887328 967454459321313600 972415764240910080 987609760557174300 1041874033115260800 1053450411260985920 1083548994439871232 1105662239224358400 1122018189508742400 1128696869208199200 1166898917089092096 1185131712668609160 1203943327155412480 1215519705301137600 1264140493513183104 1289939279095084800 1316813014076232400 1354436243049839040 1389165377487014400 1458623646361365120 1481414640835761450 1504929158944265600 1547927134914101760 1580175616891478880 1620692940401516800 1685520658017577472 1693045303812298800 1805914990733118720 1823279557951706400 1896210740269774656 1934908918642627200 1944831528481820160 1975219521114348600 2083748066230521600 2106900822521971840 2167097988879742464 2244036379017484800 2257393738416398400 2370263425337218320 2431039410602275200 2528280987026366208 2579878558190169600 2633626028152464800 2708872486099678080 2917247292722730240 2962829281671522900 3009858317888531200 3160351233782957760 3241385880803033600 3386090607624597600 3611829981466237440 3646559115903412800 3792421480539549312 3869817837285254400 3950439042228697200 4167496132461043200 4213801645043943680 4514787476832796800 4740526850674436640 4862078821204550400 5056561974052732416 5267252056304929600 5417744972199356160 5834494585445460480 5925658563343045800 6019716635777062400 6320702467565915520 6772181215249195200 7293118231806825600 7584842961079098624 7739635674570508800 7900878084457394400 8427603290087887360 9029574953665593600 9481053701348873280 9724157642409100800 10534504112609859200 10835489944398712320 11851317126686091600 12641404935131831040 13544362430498390400 14586236463613651200 15169685922158197248 15801756168914788800 18059149907331187200 18962107402697746560 21069008225219718400 23702634253372183200 25282809870263662080 27088724860996780800 29172472927227302400 31603512337829577600 37924214805395493120 42138016450439436800 47405268506744366400 54177449721993561600 63207024675659155200 75848429610790986240 94810537013488732800 126414049351318310400 189621074026977465600 379242148053954931200
- Sum of all divisors σ(n): 1713858863927491195200
- Sum of proper divisors (its aliquot sum) s(n): 1334616715873536264000
- 379242148053954931200 is an abundant number, because the sum of its proper divisors (1334616715873536264000) is greater than itself. Its abundance is 955374567819581332800
Bases of 379242148053954931200
- Binary: 1010010001111000010101100010001011000000101000001010100101010000000002
- Hexadecimal: 0x148F0AC45814152A00
- Base-36: 281AY1NHFYIRK0
Squares and roots of 379242148053954931200
- 379242148053954931200 squared (3792421480539549312002) is 143824606860577872009871569800796733440000
- 379242148053954931200 cubed (3792421480539549312003) is 54544352848821135470322298411921111570607014577939939328000000
-
The
square root of 379242148053954931200 is 19474140495.8975001023 -
The
cube root of 379242148053954931200 is 7238338.1158934661
Scales and comparisons
How big is 379242148053954931200?- 379,242,148,053,954,931,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 379,242,148,053,954,931,200 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 379242148053954931200 cubic inches would be around 603194.8 feet tall.
Recreational maths with 379242148053954931200
- 379242148053954931200 backwards is 002139459350841242973
- The number of decimal digits it has is: 21
- The sum of 379242148053954931200's digits is 81
- More coming soon!
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"Number 379242148053954931200 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 379242148053954931200 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/379242148053954931200/
Chicago style:
Numbermatics. 2024. "Number 379242148053954931200 - Facts about the integer". https://numbermatics.com/n/379242148053954931200/
The information we have on file for 379242148053954931200 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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