3978379380680294400
3,978,379,380,680,294,400 is an even composite number composed of five prime numbers multiplied together.
3978379380680294400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty-six divisors.
Prime factorization of 3978379380680294400:
220 × 32 × 52 × 19 × 316
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 19 × 31 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 3978379380680294400 from the Numbermatics database.
Names of 3978379380680294400
- Cardinal: 3978379380680294400 can be written as Three quintillion, nine hundred seventy-eight quadrillion, three hundred seventy-nine trillion, three hundred eighty billion, six hundred eighty million, two hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 3.9783793806802944 × 1018
Factors of 3978379380680294400
Divisors of 3978379380680294400
- Number of divisors d(n): 2646
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 31 32 36 38 40 45 48 50 57 60 62 64 72 75 76 80 90 93 95 96 100 114 120 124 128 144 150 152 155 160 171 180 186 190 192 200 225 228 240 248 256 279 285 288 300 304 310 320 342 360 372 380 384 400 450 456 465 475 480 496 512 558 570 576 589 600 608 620 640 684 720 744 760 768 775 800 855 900 912 930 950 960 961 992 1024 1116 1140 1152 1178 1200 1216 1240 1280 1368 1395 1425 1440 1488 1520 1536 1550 1600 1710 1767 1800 1824 1860 1900 1920 1922 1984 2048 2232 2280 2304 2325 2356 2400 2432 2480 2560 2736 2790 2850 2880 2883 2945 2976 3040 3072 3100 3200 3420 3534 3600 3648 3720 3800 3840 3844 3968 4096 4275 4464 4560 4608 4650 4712 4800 4805 4864 4960 5120 5301 5472 5580 5700 5760 5766 5890 5952 6080 6144 6200 6400 6840 6975 7068 7200 7296 7440 7600 7680 7688 7936 8192 8550 8649 8835 8928 9120 9216 9300 9424 9600 9610 9728 9920 10240 10602 10944 11160 11400 11520 11532 11780 11904 12160 12288 12400 12800 13680 13950 14136 14400 14415 14592 14725 14880 15200 15360 15376 15872 16384 17100 17298 17670 17856 18240 18259 18432 18600 18848 19200 19220 19456 19840 20480 21204 21888 22320 22800 23040 23064 23560 23808 24025 24320 24576 24800 25600 26505 27360 27900 28272 28800 28830 29184 29450 29760 29791 30400 30720 30752 31744 32768 34200 34596 35340 35712 36480 36518 36864 37200 37696 38400 38440 38912 39680 40960 42408 43245 43776 44175 44640 45600 46080 46128 47120 47616 48050 48640 49152 49600 51200 53010 54720 54777 55800 56544 57600 57660 58368 58900 59520 59582 60800 61440 61504 63488 65536 68400 69192 70680 71424 72075 72960 73036 73728 74400 75392 76800 76880 77824 79360 81920 84816 86490 87552 88350 89280 89373 91200 91295 92160 92256 94240 95232 96100 97280 98304 99200 102400 106020 109440 109554 111600 113088 115200 115320 116736 117800 119040 119164 121600 122880 123008 126976 131072 132525 136800 138384 141360 142848 144150 145920 146072 147456 148800 148955 150784 153600 153760 155648 158720 163840 164331 169632 172980 175104 176700 178560 178746 182400 182590 184320 184512 188480 190464 192200 194560 196608 198400 204800 212040 216225 218880 219108 223200 226176 230400 230640 233472 235600 238080 238328 243200 245760 246016 253952 262144 265050 268119 273600 273885 276768 282720 285696 288300 291840 292144 294912 297600 297910 301568 307200 307520 311296 317440 327680 328662 339264 345960 350208 353400 357120 357492 364800 365180 368640 369024 376960 380928 384400 389120 393216 396800 409600 424080 432450 437760 438216 446400 446865 452352 456475 460800 461280 466944 471200 476160 476656 486400 491520 492032 507904 524288 530100 536238 547200 547770 553536 565440 566029 571392 576600 583680 584288 589824 595200 595820 603136 614400 615040 622592 634880 655360 657324 678528 691920 700416 706800 714240 714984 729600 730360 737280 738048 744775 753920 761856 768800 778240 786432 793600 819200 821655 848160 864900 875520 876432 892800 893730 904704 912950 921600 922560 923521 933888 942400 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7832935713600 8085611059200 8094033570720 8179233924096 8346437222400 8355131427840 8443080179712 8520035337600 8624651796480 8633635808768 8715437604864 8794875187200 8902866370560 8912140189696 9078580838400 9088037693440 9199628582912 9381200199680 9712840284864 10026157713408 10117541963400 10224042405120 10349582155776 10443914284800 10553850224640 10780814745600 10792044760960 10894297006080 10905645232128 11128582963200 11140175237120 11257440239616 11360047116800 11499535728640 11726500249600 12104774451200 12141050356080 12532697141760 12780053006400 12936977694720 12950453713152 13192312780800 13354299555840 13368210284544 13490055951200 13617871257600 13632056540160 13799442874368 13925219046400 14071800299520 14374419660800 14525729341440 14540860309504 14838110617600 15009920319488 15176312945100 15665871427200 16171222118400 16188067141440 16358467848192 16692874444800 16710262855680 16886160359424 17040070675200 17249303592960 17267271617536 17589750374400 17824280379392 18157161676800 18176075386880 18399257165824 18762400399360 19425680569728 20052315426816 20235083926800 20448084810240 20699164311552 20887828569600 21107700449280 21561629491200 21584089521920 21788594012160 21811290464256 22257165926400 22280350474240 22514880479232 22720094233600 22999071457280 23453000499200 24209548902400 24282100712160 25065394283520 25560106012800 25873955389440 25900907426304 26384625561600 26708599111680 26736420569088 26980111902400 27235742515200 27264113080320 27598885748736 27850438092800 28143600599040 28748839321600 29081720619008 30019840638976 30352625890200 31331742854400 32342444236800 32376134282880 32716935696384 33385748889600 33420525711360 33772320718848 34080141350400 34498607185920 34534543235072 35179500748800 35648560758784 36314323353600 36352150773760 37524800798720 38851361139456 40104630853632 40470167853600 40896169620480 41398328623104 41775657139200 42215400898560 43123258982400 43168179043840 43577188024320 43622580928512 44514331852800 44560700948480 45029760958464 45440188467200 45998142914560 46906000998400 48564201424320 50130788567040 51120212025600 51747910778880 51801814852608 52769251123200 53472841138176 53960223804800 54471485030400 54528226160640 55197771497472 55700876185600 56287201198080 57497678643200 58163441238016 60705251780400 62663485708800 64684888473600 64752268565760 65433871392768 66771497779200 66841051422720 67544641437696 68160282700800 68997214371840 69069086470144 70359001497600 71297121517568 72628646707200 72704301547520 75049601597440 77702722278912 80209261707264 80940335707200 81792339240960 82796657246208 83551314278400 84430801797120 86246517964800 86336358087680 87245161857024 89121401896960 90059521916928 90880376934400 91996285829120 93812001996800 97128402848640 100261577134080 102240424051200 103495821557760 103603629705216 105538502246400 106945682276352 107920447609600 108942970060800 109056452321280 111401752371200 112574402396160 114995357286400 116326882476032 121410503560800 125326971417600 129369776947200 129504537131520 130867742785536 133542995558400 133682102845440 135089282875392 136320565401600 137994428743680 138138172940288 140718002995200 142594243035136 145408603095040 150099203194880 155405444557824 160418523414528 161880671414400 163584678481920 165593314492416 167102628556800 168861603594240 172493035929600 172672716175360 174490323714048 178242803793920 181760753868800 187624003993600 194256805697280 200523154268160 204480848102400 206991643115520 207207259410432 211077004492800 213891364552704 215840895219200 217885940121600 218112904642560 222803504742400 225148804792320 229990714572800 232653764952064 242821007121600 250653942835200 258739553894400 259009074263040 261735485571072 267364205690880 270178565750784 272641130803200 275988857487360 276276345880576 281436005990400 285188486070272 290817206190080 310810889115648 320837046829056 323761342828800 327169356963840 334205257113600 337723207188480 344986071859200 345345432350720 348980647428096 356485607587840 363521507737600 375248007987200 388513611394560 401046308536320 408961696204800 413983286231040 414414518820864 422154008985600 427782729105408 431681790438400 436225809285120 445607009484800 450297609584640 459981429145600 465307529904128 485642014243200 501307885670400 517479107788800 518018148526080 523470971142144 534728411381760 545282261606400 552552691761152 562872011980800 570376972140544 581634412380160 621621778231296 641674093658112 647522685657600 654338713927680 668410514227200 675446414376960 689972143718400 690690864701440 697961294856192 712971215175680 727043015475200 750496015974400 777027222789120 802092617072640 817923392409600 827966572462080 828829037641728 844308017971200 855565458210816 863363580876800 872451618570240 891214018969600 930615059808256 971284028486400 1002615771340800 1034958215577600 1036036297052160 1046941942284288 1069456822763520 1090564523212800 1105105383522304 1125744023961600 1163268824760320 1243243556462592 1283348187316224 1295045371315200 1308677427855360 1336821028454400 1350892828753920 1379944287436800 1381381729402880 1395922589712384 1425942430351360 1454086030950400 1554054445578240 1604185234145280 1635846784819200 1657658075283456 1688616035942400 1711130916421632 1726727161753600 1744903237140480 1782428037939200 1942568056972800 2005231542681600 2069916431155200 2072072594104320 2093883884568576 2138913645527040 2181129046425600 2210210767044608 2251488047923200 2326537649520640 2486487112925184 2566696374632448 2590090742630400 2617354855710720 2673642056908800 2762763458805760 2791845179424768 2851884860702720 2908172061900800 3108108891156480 3208370468290560 3271693569638400 3315316150566912 3377232071884800 3453454323507200 3489806474280960 3564856075878400 3885136113945600 4010463085363200 4139832862310400 4144145188208640 4187767769137152 4277827291054080 4362258092851200 4420421534089216 4653075299041280 4972974225850368 5133392749264896 5180181485260800 5234709711421440 5347284113817600 5525526917611520 5816344123801600 6216217782312960 6416740936581120 6543387139276800 6630632301133824 6754464143769600 6906908647014400 6979612948561920 7129712151756800 7770272227891200 8020926170726400 8288290376417280 8375535538274304 8555654582108160 8724516185702400 8840843068178432 9945948451700736 10360362970521600 10469419422842880 10694568227635200 11051053835223040 11632688247603200 12432435564625920 12833481873162240 13086774278553600 13261264602267648 13813817294028800 13959225897123840 14259424303513600 15540544455782400 16041852341452800 16576580752834560 17449032371404800 17681686136356864 19891896903401472 20720725941043200 20938838845685760 21389136455270400 22102107670446080 23265376495206400 24864871129251840 25666963746324480 26173548557107200 26522529204535296 27627634588057600 31081088911564800 32083704682905600 33153161505669120 34898064742809600 39783793806802944 41441451882086400 41877677691371520 42778272910540800 44204215340892160 49729742258503680 52347097114214400 53045058409070592 55255269176115200 62162177823129600 64167409365811200 66306323011338240 69796129485619200 79567587613605888 82882903764172800 88408430681784320 99459484517007360 104694194228428800 110510538352230400 124324355646259200 128334818731622400 132612646022676480 159135175227211776 165765807528345600 198918969034014720 209388388456857600 221021076704460800 248648711292518400 265225292045352960 331531615056691200 397837938068029440 442042153408921600 497297422585036800 663063230113382400 795675876136058880 994594845170073600 1326126460226764800 1989189690340147200 3978379380680294400
- Sum of all divisors σ(n): 15501557863960297220
- Sum of proper divisors (its aliquot sum) s(n): 11523178483280002820
- 3978379380680294400 is an abundant number, because the sum of its proper divisors (11523178483280002820) is greater than itself. Its abundance is 7544799102599708420
Bases of 3978379380680294400
- Binary: 110111001101100000101011110111111001110011000000000000000000002
- Hexadecimal: 0x37360AF7E7300000
- Base-36: U84PSGLDEKG0
Squares and roots of 3978379380680294400
- 3978379380680294400 squared (39783793806802944002) is 15827502496622122827041744470671360000
- 3978379380680294400 cubed (39783793806802944003) is 62967809580227334421368231676696620710185490448384000000
-
The
square root of 3978379380680294400 is 1994587521.4390303611 -
The
cube root of 3978379380680294400 is 1584535.8339473253 - Being both a perfect square and a perfect cube, 3978379380680294400 is also a
perfect sixth number .
Scales and comparisons
How big is 3978379380680294400?- 3,978,379,380,680,294,400 seconds is equal to 126,500,158,370 years, 11 weeks, 5 days, 16 hours.
-
To count from 1 to 3,978,379,380,680,294,400 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 3978379380680294400 cubic inches would be around 132044.7 feet tall.
Recreational maths with 3978379380680294400
- 3978379380680294400 backwards is 0044920860839738793
- 3978379380680294400 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 3978379380680294400's digits is 90
- More coming soon!
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Cite this page
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"Number 3978379380680294400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 3978379380680294400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/3978379380680294400/
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Numbermatics. 2024. "Number 3978379380680294400 - Facts about the integer". https://numbermatics.com/n/3978379380680294400/
The information we have on file for 3978379380680294400 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!
Keywords: Divisors of 3978379380680294400, math, Factors of 3978379380680294400, curriculum, school, college, exams, university, Prime factorization of 3978379380680294400, STEM, science, technology, engineering, physics, economics, calculator, three quintillion, nine hundred seventy-eight quadrillion, three hundred seventy-nine trillion, three hundred eighty billion, six hundred eighty million, two hundred ninety-four thousand, four hundred.