13104278016211200
13,104,278,016,211,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13104278016211200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2916 divisors.
13104278016211200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.
Prime factorization of 13104278016211200:
28 × 3 × 52 × 72 × 132 × 331 × 4992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 331 × 499 × 499)See below for interesting mathematical facts about the number 13104278016211200 from the Numbermatics database.
Names of 13104278016211200
- Cardinal: 13104278016211200 can be written as Thirteen quadrillion, one hundred four trillion, two hundred seventy-eight billion, sixteen million, two hundred eleven thousand, two hundred.
Scientific notation
- Scientific notation: 1.31042780162112 × 1016
Factors of 13104278016211200
Divisors of 13104278016211200
- Number of divisors d(n): 2916
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 128 130 140 147 150 156 160 168 169 175 182 192 195 196 200 208 210 224 240 245 256 260 273 280 294 300 312 320 325 331 336 338 350 364 384 390 392 400 416 420 448 455 480 490 499 507 520 525 546 560 588 600 624 637 640 650 662 672 676 700 728 735 768 780 784 800 832 840 845 896 910 960 975 980 993 998 1014 1040 1050 1092 1120 1176 1183 1200 1225 1248 1274 1280 1300 1324 1344 1352 1365 1400 1456 1470 1497 1560 1568 1600 1655 1664 1680 1690 1792 1820 1911 1920 1950 1960 1986 1996 2028 2080 2100 2184 2240 2275 2317 2352 2366 2400 2450 2495 2496 2535 2548 2600 2648 2688 2704 2730 2800 2912 2940 2994 3120 3136 3185 3200 3310 3328 3360 3380 3493 3549 3640 3675 3822 3840 3900 3920 3972 3992 4056 4160 4200 4225 4303 4368 4480 4550 4634 4704 4732 4800 4900 4965 4990 4992 5070 5096 5200 5296 5376 5408 5460 5600 5824 5880 5915 5988 6240 6272 6370 6400 6487 6620 6720 6760 6825 6951 6986 7098 7280 7350 7485 7644 7800 7840 7944 7984 8112 8275 8281 8320 8400 8450 8606 8736 8960 9100 9268 9408 9464 9555 9600 9800 9930 9980 9984 10140 10192 10400 10479 10592 10816 10920 11200 11585 11648 11760 11830 11976 12475 12480 12544 12675 12740 12909 12974 13240 13440 13520 13650 13902 13972 14196 14560 14700 14970 15288 15600 15680 15888 15925 15968 16219 16224 16550 16562 16640 16800 16900 17212 17465 17472 17745 18200 18536 18816 18928 19110 19200 19461 19600 19860 19960 20280 20384 20800 20958 21184 21515 21632 21840 22400 23170 23296 23520 23660 23952 24451 24825 24843 24950 24960 25350 25480 25818 25948 26480 26880 27040 27300 27804 27944 28392 29120 29400 29575 29940 30121 30576 31200 31360 31776 31850 31936 32435 32438 32448 33100 33124 33600 33800 34424 34755 34930 34944 35490 36400 37072 37425 37632 37856 38220 38922 39200 39720 39920 40560 40768 41405 41600 41916 42368 43030 43264 43680 44800 45409 46340 47040 47320 47775 47904 48657 48902 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115387063400 117130070400 117236956200 117827273200 120002545936 121156416570 121815273216 123718636860 125052753280 126255183600 126890909600 128574156360 129233511008 131305390944 131870929600 131966545984 133985092800 134659740800 134672195840 136776448900 137145766784 138464476080 139288669390 141392727840 144291638400 145018182400 147695441152 150003182420 150063303936 152269091520 154648296075 155390995200 156315941600 157503341541 158245115520 160717695450 161541888760 161591688960 164131738680 164958182480 167146403268 168340244800 171432208480 173080595100 175073854592 176740909800 178646790400 180003818904 184619301440 187503978025 187579129920 188523637120 190336364400 193850266512 195004137146 197806394400 197949818976 201927360950 201989611200 202008293760 203025455360 205164673350 205718650176 206197728100 208933004085 210004455388 214290260600 217527273600 218842318240 221543161728 222861871024 225004773630 226228364544 230774126800 234260140800 234473912400 235654546400 240005091872 242312833140 247437273720 250105506560 252510367200 253781819200 257148312720 258467022016 262505569235 262610781888 263741859200 263933091968 267970185600 269319481600 273552897800 274291533568 276928952160 278577338780 282785455680 288583276800 292506205719 300006364840 302891041425 304538183040 309296592150 312631883200 315006683082 316490231040 321435390900 323083777520 328263477360 329916364960 334292806536 336680489600 342864416960 346161190200 348221673475 350147709184 353481819600 360007637808 369238602880 375007956050 375158259840 377047274240 380672728800 387700533024 390008274292 395612788800 395899637952 403854721900 403979222400 404016587520 410329346700 411437300352 412395456200 417866008170 420008910776 428580521200 435054547200 437684636480 443086323456 445723742048 450009547260 461548253600 468947824800 471309092800 480010183744 484625666280 487510342865 494874547440 505020734400 507563638400 514296625440 516934044032 525011138470 525221563776 527483718400 527866183936 535940371200 547105795600 553857904320 557154677560 562511934075 565570911360 585012411438 600012729680 605782082850 609076366080 618593184300 625263766400 630013366164 642870781800 646167555040 656526954720 659832729920 668585613072 673360979200 682514480011 685728833920 692322380400 696443346950 706963639200 720015275616 738477205760 750015912100 750316519680 761345457600 775401066048 780016548584 787516707705 791225577600 791799275904 807709443800 807958444800 820658693400 822874600704 824790912400 835732016340 840017821552 857161042400 875369272960 891447484096 900019094520 923096507200 937895649600 942618185600 960020367488 969251332560 975020685730 989749094880 1010041468800 1015127276800 1028593250880 1033868088064 1044665020425 1050022276940 1050443127552 1094211591200 1107715808640 1114309355120 1125023868150 1131141822720 1170024822876 1200025459360 1211564165700 1237186368600 1250527532800 1260026732328 1285741563600 1292335110080 1312527846175 1313053909440 1319665459840 1337171226144 1365028960022 1371457667840 1384644760800 1392886693900 1413927278400 1440030551232 1462531028595 1500031824200 1522690915200 1550802132096 1560033097168 1575033415410 1582451155200 1583598551808 1615418887600 1641317386800 1649581824800 1671464032680 1680035643104 1714322084800 1750738545920 1782894968192 1800038189040 1846193014400 1875791299200 1885236371200 1920040734976 1938502665120 1950041371460 1979498189760 2020082937600 2047543440033 2057186501760 2089330040850 2100044553880 2188423182400 2215431617280 2228618710240 2250047736300 2340049645752 2400050918720 2423128331400 2437551714325 2474372737200 2520053464656 2571483127200 2584670220160 2625055692350 2626107818880 2639330919680 2674342452288 2730057920044 2769289521600 2785773387800 2827854556800 2880061102464 2925062057190 3000063648400 3045381830400 3101604264192 3120066194336 3150066830820 3230837775200 3282634773600 3299163649600 3342928065360 3360071286208 3412572400055 3428644169600 3565789936384 3600076378080 3692386028800 3751582598400 3877005330240 3900082742920 3937583538525 3958996379520 4095086880066 4114373003520 4178660081700 4200089107760 4376846364800 4457237420480 4500095472600 4680099291504 4800101837440 4846256662800 4875103428650 4948745474400 5040106929312 5142966254400 5169340440320 5250111384700 5252215637760 5348684904576 5460115840088 5538579043200 5571546775600 5655709113600 5760122204928 5850124114380 6000127296800 6240132388672 6300133661640 6461675550400 6565269547200 6598327299200 6685856130720 6720142572416 6825144800110 6857288339200 7200152756160 7312655142975 7754010660480 7800165485840 7875167077050 7917992759040 8190173760132 8357320163400 8400178215520 8753692729600 8914474840960 9000190945200 9360198583008 9600203674880 9692513325600 9750206857300 9897490948800 10080213858624 10237717200165 10285932508800 10500222769400 10697369809152 10920231680176 11077158086400 11143093551200 11700248228760 12000254593600 12480264777344 12600267323280 12923351100800 13130539094400 13196654598400 13371712261440 13440285144832 13650289600220 14400305512320 14625310285950 15508021320960 15600330971680 15750334154100 16380347520264 16714640326800 16800356431040 17062862000275 17828949681920 18000381890400 18720397166016 19385026651200 19500413714600 19794981897600 20160427717248 20475434400330 20571865017600 21000445538800 21840463360352 22286187102400 23400496457520 24000509187200 24960529554688 25200534646560 25846702201600 26261078188800 26743424522880 27300579200440 28800611024640 29250620571900 31200661943360 31500668308200 32760695040528 33429280653600 33600712862080 34125724000550 36000763780800 37440794332032 38770053302400 39000827429200 39589963795200 40320855434496 40950868800660 42000891077600 43680926720704 44572374204800 46800992915040 48001018374400 50401069293120 51188586000825 53486849045760 54601158400880 58501241143800 62401323886720 63001336616400 65521390081056 66858561307200 67201425724160 68251448001100 72001527561600 74881588664064 77540106604800 78001654858400 81901737601320 84001782155200 87361853441408 89144748409600 93601985830080 100802138586240 102377172001650 109202316801760 117002482287600 124802647773440 126002673232800 131042780162112 133717122614400 136502896002200 144003055123200 156003309716800 163803475202640 168003564310400 174723706882816 187203971660160 201604277172480 204754344003300 218404633603520 234004964575200 252005346465600 262085560324224 267434245228800 273005792004400 312006619433600 327606950405280 336007128620800 374407943320320 409508688006600 436809267207040 468009929150400 504010692931200 524171120648448 546011584008800 624013238867200 655213900810560 819017376013200 873618534414080 936019858300800 1008021385862400 1092023168017600 1310427801621120 1638034752026400 1872039716601600 2184046336035200 2620855603242240 3276069504052800 4368092672070400 6552139008105600 13104278016211200
- Sum of all divisors σ(n): 54749342126617488
- Sum of proper divisors (its aliquot sum) s(n): 41645064110406288
- 13104278016211200 is an abundant number, because the sum of its proper divisors (41645064110406288) is greater than itself. Its abundance is 28540786094195088
Bases of 13104278016211200
- Binary: 1011101000111001000101011111000011000110111001000000002
- Hexadecimal: 0x2E8E457C31B900
- Base-36: 3L12U7OF4LC
Squares and roots of 13104278016211200
- 13104278016211200 squared (131042780162112002) is 171722102326156143290003005440000
- 13104278016211200 cubed (131042780162112003) is 2250294170410218118309816474224169041788928000000
-
The
square root of 13104278016211200 is 114473918.4976700271 -
The
cube root of 13104278016211200 is 235760.4939723307
Scales and comparisons
How big is 13104278016211200?- 13,104,278,016,211,200 seconds is equal to 416,675,506 years, 37 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 13,104,278,016,211,200 would take you about one billion, two hundred fifty million, twenty-six thousand, five hundred twenty 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 13104278016211200 cubic inches would be around 19646.7 feet tall.
Recreational maths with 13104278016211200
- 13104278016211200 backwards is 00211261087240131
- 13104278016211200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13104278016211200's digits is 39
- More coming soon!
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"Number 13104278016211200 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13104278016211200 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13104278016211200/
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The information we have on file for 13104278016211200 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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