12813343378908800
12,813,343,378,908,800 is an even composite number composed of six prime numbers multiplied together.
12813343378908800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12813343378908800:
27 × 52 × 72 × 133 × 193 × 4392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 193 × 439 × 439)See below for interesting mathematical facts about the number 12813343378908800 from the Numbermatics database.
Names of 12813343378908800
- Cardinal: 12813343378908800 can be written as Twelve quadrillion, eight hundred thirteen trillion, three hundred forty-three billion, three hundred seventy-eight million, nine hundred eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.28133433789088 × 1016
Factors of 12813343378908800
Divisors of 12813343378908800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 128 130 140 160 169 175 182 193 196 200 208 224 245 260 280 320 325 338 350 364 386 392 400 416 439 448 455 490 520 560 637 640 650 676 700 728 772 784 800 832 845 878 896 910 965 980 1040 1120 1183 1225 1274 1300 1351 1352 1400 1456 1544 1568 1600 1664 1690 1756 1820 1930 1960 2080 2195 2197 2240 2275 2366 2450 2509 2548 2600 2702 2704 2800 2912 3073 3088 3136 3185 3200 3380 3512 3640 3860 3920 4160 4225 4390 4394 4480 4550 4732 4825 4900 5018 5096 5200 5404 5408 5600 5707 5824 5915 6146 6176 6272 6370 6755 6760 7024 7280 7720 7840 8281 8320 8450 8780 8788 9100 9457 9464 9650 9800 10036 10192 10400 10808 10816 10975 10985 11200 11414 11648 11830 12292 12352 12545 12740 13510 13520 14048 14560 15365 15379 15440 15680 15925 16562 16900 17560 17563 17576 18200 18914 18928 19300 19600 20072 20384 20800 21511 21616 21632 21950 21970 22400 22828 23660 24584 24704 25090 25480 27020 27040 28096 28535 29120 29575 30730 30758 30880 31360 31850 32617 33124 33775 33800 35120 35126 35152 36400 37828 37856 38600 39200 39949 40144 40768 41405 41600 43022 43232 43900 43940 45656 47285 47320 49168 50180 50960 54040 54080 54925 56192 57070 58240 59150 61460 61516 61760 62725 63700 65234 66248 67550 67600 70240 70252 70304 72800 74191 75656 75712 76825 76895 77200 78400 79898 80288 81536 82810 84727 86044 86464 87800 87815 87880 91312 94570 94640 98336 100360 101920 107555 107653 108080 108160 109850 114140 118300 122920 122941 123032 123520 125450 127400 130468 132496 135100 135200 140480 140504 140608 142675 145600 148382 151312 151424 153650 153790 154400 156800 159796 160576 163085 165620 169454 172088 172928 175600 175630 175760 182624 189140 189280 192721 196672 199745 200720 203840 207025 215110 215306 216160 219700 228280 228319 236425 236600 245840 245882 246064 250900 254800 260936 264992 270200 270400 279643 280960 281008 281216 285350 291200 296764 302624 307300 307580 308800 319592 321152 326170 331240 338908 344176 351200 351260 351520 365248 370955 378280 378560 384475 385442 393344 399490 401440 407680 414050 423635 424021 430220 430612 432320 439075 439400 456560 456638 472850 473200 491680 491764 492128 501800 509600 519337 521872 529984 537775 538265 540400 540800 559286 562016 570700 593089 593528 605248 614600 614705 615160 617600 639184 652340 662480 677816 688352 702400 702520 703040 730496 741910 756560 757120 768950 770884 798980 802880 815425 828100 847270 848042 860440 861224 864640 878150 878800 913120 913276 945700 946400 963605 964483 983360 983528 984256 998725 1003600 1019200 1038674 1043744 1059968 1075550 1076530 1080800 1101451 1118572 1124032 1141400 1141595 1186178 1187056 1210496 1229200 1229410 1230320 1278368 1304680 1324960 1349047 1355632 1376704 1398215 1404800 1405040 1406080 1483820 1513120 1537900 1541768 1597960 1598233 1605760 1630850 1656200 1694540 1696084 1720880 1722448 1756300 1757600 1826240 1826552 1854775 1891400 1892800 1927210 1928966 1966720 1967056 1968512 1997450 2007200 2038400 2077348 2087488 2118175 2120105 2151100 2153060 2161600 2202902 2237144 2248064 2282800 2283190 2372356 2374112 2458400 2458820 2460640 2505373 2556736 2596685 2609360 2649920 2691325 2698094 2711264 2753408 2796430 2810080 2965445 2967640 2968147 3026240 3073525 3075800 3083536 3195920 3196466 3261700 3312400 3389080 3392168 3441760 3444896 3512600 3515200 3635359 3652480 3653104 3709550 3782800 3785600 3854420 3857932 3934112 3994900 4014400 4151623 4154696 4174976 4236350 4240210 4302200 4306120 4323200 4405804 4474288 4565600 4566380 4744712 4748224 4818025 4822415 4916800 4917640 4921280 5010746 5113472 5193370 5218720 5299840 5382650 5396188 5422528 5507255 5592860 5620160 5707975 5930890 5935280 5936294 6052480 6147050 6151600 6167072 6391840 6392932 6523400 6624800 6745235 6751381 6778160 6784336 6883520 6889792 6991075 7025200 7030400 7270718 7306208 7419100 7565600 7708840 7710157 7715864 7868224 7989800 7991165 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224519771840 228027893275 233287999616 236933124610 237108500720 251439234280 255347616160 260603306600 270780713840 270981143680 280649714800 291609999520 291875703392 296385625900 297832350400 308013061993 309463672960 314299042850 319184520200 320742531200 326871004564 331951901008 338475892300 338726429600 352014927992 364512499400 364782308800 364844629240 379092999376 379373601152 386829591200 392842486400 402302774848 408588755705 414939876260 416585713600 416965290560 433249142144 440018659990 449039543680 456055786550 473866249220 474217001440 502878468560 510695232320 518674845325 521206613200 541561427680 561299429600 572024257987 583219999040 583751406784 592332811525 592771251800 595664700800 616026123986 628598085700 638369040400 653742009128 663903802016 676951784600 677452859200 704029855984 729024998800 729564617600 729689258480 758185998752 773659182400 804605549696 817177511410 829879752520 833171427200 833930581120 880037319980 912111573100 947732498440 948434002880 1005756937120 1021390464640 1037349690650 1042413226400 1083122855360 1100046649975 1122598859200 1144048515974 1166439998080 1167502813568 1184665623050 1185542503600 1232052247972 1257196171400 1276738080800 1307484018256 1327807604032 1353903569200 1354905718400 1408059711968 1458049997600 1459378516960 1516371997504 1540065309965 1547318364800 1634355022820 1659759505040 1760074639960 1824223146200 1895464996880 1896868005760 2011513874240 2042943778525 2074699381300 2084826452800 2166245710720 2200093299950 2245197718400 2288097031948 2369331246100 2371085007200 2464104495944 2514392342800 2553476161600 2614968036512 2655615208064 2707807138400 2816119423936 2860121289935 2916099995200 2918757033920 3032743995008 3080130619930 3268710045640 3319519010080 3520149279920 3648446292400 3790929993760 4004169805909 4023027748480 4085887557050 4149398762600 4169652905600 4400186599900 4576194063896 4738662492200 4742170014400 4928208991888 5028784685600 5106952323200 5229936073024 5415614276800 5632238847872 5720242579870 5832199990400 5837514067840 6160261239860 6537420091280 6639038020160 7040298559840 7296892584800 7581859987520 7700326549825 8008339611818 8171775114100 8298797525200 8800373199800 9152388127792 9477324984400 9484340028800 9856417983776 10057569371200 10459872146048 10831228553600 11440485159740 12320522479720 13074840182560 13278076040320 14080597119680 14300606449675 14593785169600 15163719975040 15400653099650 16016679223636 16343550228200 16597595050400 17600746399600 18304776255584 18954649968800 19712835967552 20020849029545 20115138742400 22880970319480 24641044959440 26149680365120 28161194239360 28601212899350 29187570339200 30801306199300 32033358447272 32687100456400 33195190100800 35201492799200 36609552511168 37909299937600 39425671935104 40041698059090 45761940638960 49282089918880 52299360730240 57202425798700 61602612398600 64066716894544 65374200912800 66390380201600 70402985598400 73219105022336 75818599875200 80083396118180 91523881277920 98564179837760 100104245147725 114404851597400 123205224797200 128133433789088 130748401825600 140805971196800 160166792236360 183047762555840 197128359675520 200208490295450 228809703194800 246410449594400 256266867578176 261496803651200 320333584472720 366095525111680 400416980590900 457619406389600 492820899188800 512533735156352 640667168945440 800833961181800 915238812779200 985641798377600 1281334337890880 1601667922363600 1830477625558400 2562668675781760 3203335844727200 6406671689454400 12813343378908800
- Sum of all divisors σ(n): 40186007597698200
- Sum of proper divisors (its aliquot sum) s(n): 27372664218789400
- 12813343378908800 is an abundant number, because the sum of its proper divisors (27372664218789400) is greater than itself. Its abundance is 14559320839880600
Bases of 12813343378908800
- Binary: 1011011000010110101010111111000111110000100110100000002
- Hexadecimal: 0x2D85AAFC7C2680
- Base-36: 3I5Y8OP2VSW
Squares and roots of 12813343378908800
- 12813343378908800 squared (128133433789088002) is 164181768545825983808678717440000
- 12813343378908800 cubed (128133433789088003) is 2103717376934196450429715317124684330729472000000
-
The
square root of 12813343378908800 is 113196039.5902118123 -
The
cube root of 12813343378908800 is 234002.6747381505
Scales and comparisons
How big is 12813343378908800?- 12,813,343,378,908,800 seconds is equal to 407,424,685 years, 9 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 12,813,343,378,908,800 would take you about one billion, two hundred twenty-two million, two hundred seventy-four thousand and fifty-five 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 12813343378908800 cubic inches would be around 19500.2 feet tall.
Recreational maths with 12813343378908800
- 12813343378908800 backwards is 00880987334331821
- The number of decimal digits it has is: 17
- The sum of 12813343378908800's digits is 68
- More coming soon!
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"Number 12813343378908800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 12813343378908800 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/12813343378908800/
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The information we have on file for 12813343378908800 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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