13480274728688025600
13,480,274,728,688,025,600 is an even composite number composed of four prime numbers multiplied together.
13480274728688025600 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13480274728688025600:
221 × 35 × 52 × 10193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 1019 × 1019 × 1019)See below for interesting mathematical facts about the number 13480274728688025600 from the Numbermatics database.
Names of 13480274728688025600
- Cardinal: 13480274728688025600 can be written as Thirteen quintillion, four hundred eighty quadrillion, two hundred seventy-four trillion, seven hundred twenty-eight billion, six hundred eighty-eight million, twenty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.34802747286880256 × 1019
Factors of 13480274728688025600
Divisors of 13480274728688025600
- Number of divisors d(n): 1584
-
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 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 243 256 270 288 300 320 324 360 384 400 405 432 450 480 486 512 540 576 600 640 648 675 720 768 800 810 864 900 960 972 1019 1024 1080 1152 1200 1215 1280 1296 1350 1440 1536 1600 1620 1728 1800 1920 1944 2025 2038 2048 2160 2304 2400 2430 2560 2592 2700 2880 3057 3072 3200 3240 3456 3600 3840 3888 4050 4076 4096 4320 4608 4800 4860 5095 5120 5184 5400 5760 6075 6114 6144 6400 6480 6912 7200 7680 7776 8100 8152 8192 8640 9171 9216 9600 9720 10190 10240 10368 10800 11520 12150 12228 12288 12800 12960 13824 14400 15285 15360 15552 16200 16304 16384 17280 18342 18432 19200 19440 20380 20480 20736 21600 23040 24300 24456 24576 25475 25600 25920 27513 27648 28800 30570 30720 31104 32400 32608 32768 34560 36684 36864 38400 38880 40760 40960 41472 43200 45855 46080 48600 48912 49152 50950 51200 51840 55026 55296 57600 61140 61440 62208 64800 65216 65536 69120 73368 73728 76425 76800 77760 81520 81920 82539 82944 86400 91710 92160 97200 97824 98304 101900 102400 103680 110052 110592 115200 122280 122880 124416 129600 130432 131072 137565 138240 146736 147456 152850 153600 155520 163040 163840 165078 165888 172800 183420 184320 194400 195648 196608 203800 204800 207360 220104 221184 229275 230400 244560 245760 247617 248832 259200 260864 262144 275130 276480 293472 294912 305700 307200 311040 326080 327680 330156 331776 345600 366840 368640 388800 391296 393216 407600 409600 412695 414720 440208 442368 458550 460800 489120 491520 495234 497664 518400 521728 524288 550260 552960 586944 589824 611400 614400 622080 652160 655360 660312 663552 687825 691200 733680 737280 777600 782592 786432 815200 819200 825390 829440 880416 884736 917100 921600 978240 983040 990468 995328 1036800 1038361 1043456 1048576 1100520 1105920 1173888 1179648 1222800 1228800 1238085 1244160 1304320 1310720 1320624 1327104 1375650 1382400 1467360 1474560 1555200 1565184 1572864 1630400 1638400 1650780 1658880 1760832 1769472 1834200 1843200 1956480 1966080 1980936 1990656 2063475 2073600 2076722 2086912 2097152 2201040 2211840 2347776 2359296 2445600 2457600 2476170 2488320 2608640 2621440 2641248 2654208 2751300 2764800 2934720 2949120 3110400 3115083 3130368 3145728 3260800 3276800 3301560 3317760 3521664 3538944 3668400 3686400 3912960 3932160 3961872 3981312 4126950 4147200 4153444 4173824 4402080 4423680 4695552 4718592 4891200 4915200 4952340 4976640 5191805 5217280 5242880 5282496 5308416 5502600 5529600 5869440 5898240 6190425 6220800 6230166 6260736 6291456 6521600 6553600 6603120 6635520 7043328 7077888 7336800 7372800 7825920 7864320 7923744 7962624 8253900 8294400 8306888 8347648 8804160 8847360 9345249 9391104 9437184 9782400 9830400 9904680 9953280 10383610 10434560 10485760 10564992 10616832 11005200 11059200 11738880 11796480 12380850 12441600 12460332 12521472 13043200 13107200 13206240 13271040 14086656 14155776 14673600 14745600 15575415 15651840 15728640 15847488 15925248 16507800 16588800 16613776 16695296 17608320 17694720 18690498 18782208 18874368 19564800 19660800 19809360 19906560 20767220 20869120 21129984 21233664 22010400 22118400 23477760 23592960 24761700 24883200 24920664 25042944 25959025 26086400 26214400 26412480 26542080 28035747 28173312 28311552 29347200 29491200 31150830 31303680 31457280 31694976 31850496 33015600 33177600 33227552 33390592 35216640 35389440 37380996 37564416 39129600 39321600 39618720 39813120 41534440 41738240 42259968 42467328 44020800 44236800 46726245 46955520 47185920 49523400 49766400 49841328 50085888 51918050 52172800 52428800 52824960 53084160 56071494 56346624 56623104 58694400 58982400 62301660 62607360 63389952 63700992 66031200 66355200 66455104 66781184 70433280 70778880 74761992 75128832 77877075 78259200 78643200 79237440 79626240 83068880 83476480 84107241 84519936 84934656 88041600 88473600 93452490 93911040 94371840 99046800 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12855791786850 12918872217600 12982262169600 13001808187392 13543550195200 13610005299200 13712844572640 13780130365440 14627034210816 14698805723136 15236493969600 15311255961600 16252260234240 16332006359040 16455413487168 16536156438528 17141055715800 17225162956800 17335744249856 18283792763520 18373507153920 19502712281088 19598407630848 20315325292800 20415007948800 20569266858960 20670195548160 21669680312320 21940551316224 22048208584704 22854740954400 22966883942400 24378390351360 24498009538560 25711583573700 25837744435200 26003616374784 27087100390400 27220010598400 27425689145280 27560260730880 29254068421632 29397611446272 30472987939200 30622511923200 32504520468480 32664012718080 32910826974336 33072312877056 34282111431600 34450325913600 34671488499712 36567585527040 36747014307840 39005424562176 40630650585600 40830015897600 41138533717920 41340391096320 43339360624640 43881102632448 44096417169408 45709481908800 45933767884800 48756780702720 48996019077120 51423167147400 51675488870400 52007232749568 54174200780800 54440021196800 54851378290560 55120521461760 58508136843264 58795222892544 60945975878400 61245023846400 65009040936960 65821653948672 66144625754112 68564222863200 68900651827200 69342976999424 73135171054080 73494028615680 78010849124352 81261301171200 81660031795200 82277067435840 82680782192640 86678721249280 87762205264896 88192834338816 91418963817600 91867535769600 97513561405440 97992038154240 102846334294800 103350977740800 104014465499136 108348401561600 109702756581120 110241042923520 117016273686528 121891951756800 122490047692800 130018081873920 131643307897344 132289251508224 137128445726400 137801303654400 138685953998848 146270342108160 146988057231360 156021698248704 162522602342400 163320063590400 164554134871680 165361564385280 173357442498560 175524410529792 176385668677632 182837927635200 183735071539200 195027122810880 205692668589600 206701955481600 208028930998272 216696803123200 219405513162240 220482085847040 234032547373056 243783903513600 244980095385600 260036163747840 263286615794688 264578503016448 274256891452800 275602607308800 277371907997696 292540684216320 293976114462720 312043396497408 325045204684800 329108269743360 330723128770560 346714884997120 351048821059584 365675855270400 367470143078400 390054245621760 411385337179200 413403910963200 416057861996544 433393606246400 438811026324480 440964171694080 468065094746112 487567807027200 489960190771200 520072327495680 526573231589376 529157006032896 548513782905600 551205214617600 554743815995392 585081368432640 624086792994816 650090409369600 658216539486720 661446257541120 693429769994240 702097642119168 731351710540800 734940286156800 780108491243520 822770674358400 826807821926400 832115723993088 866787212492800 877622052648960 881928343388160 936130189492224 975135614054400 1040144654991360 1053146463178752 1097027565811200 1102410429235200 1109487631990784 1170162736865280 1248173585989632 1300180818739200 1316433078973440 1322892515082240 1386859539988480 1404195284238336 1462703421081600 1469880572313600 1560216982487040 1645541348716800 1653615643852800 1664231447986176 1733574424985600 1755244105297920 1872260378984448 1950271228108800 2080289309982720 2106292926357504 2194055131622400 2204820858470400 2218975263981568 2340325473730560 2496347171979264 2600361637478400 2632866157946880 2645785030164480 2773719079976960 2808390568476672 2925406842163200 3120433964974080 3291082697433600 3307231287705600 3328462895972352 3467148849971200 3510488210595840 3744520757968896 3900542456217600 4160578619965440 4212585852715008 4388110263244800 4409641716940800 4680650947461120 4992694343958528 5200723274956800 5265732315893760 5547438159953920 5616781136953344 5850813684326400 6240867929948160 6582165394867200 6614462575411200 6656925791944704 6934297699942400 7020976421191680 7489041515937792 7801084912435200 8321157239930880 8425171705430016 8776220526489600 9361301894922240 9985388687917056 10401446549913600 10531464631787520 11094876319907840 11233562273906688 11701627368652800 12481735859896320 13164330789734400 13228925150822400 13868595399884800 14041952842383360 14978083031875584 15602169824870400 16642314479861760 16850343410860032 17552441052979200 18722603789844480 19970777375834112 20802893099827200 21062929263575040 22467124547813376 23403254737305600 24963471719792640 26328661579468800 27737190799769600 28083905684766720 29956166063751168 31204339649740800 33284628959723520 33700686821720064 35104882105958400 37445207579688960 41605786199654400 42125858527150080 44934249095626752 46806509474611200 49926943439585280 52657323158937600 55474381599539200 56167811369533440 59912332127502336 62408679299481600 67401373643440128 70209764211916800 74890415159377920 83211572399308800 84251717054300160 89868498191253504 93613018949222400 99853886879170560 105314646317875200 112335622739066880 124817358598963200 134802747286880256 140419528423833600 149780830318755840 166423144798617600 168503434108600320 179736996382507008 187226037898444800 210629292635750400 224671245478133760 249634717197926400 269605494573760512 280839056847667200 299561660637511680 337006868217200640 374452075796889600 421258585271500800 449342490956267520 499269434395852800 539210989147521024 561678113695334400 674013736434401280 748904151593779200 842517170543001600 898684981912535040 1123356227390668800 1348027472868802560 1497808303187558400 1685034341086003200 2246712454781337600 2696054945737605120 3370068682172006400 4493424909562675200 6740137364344012800 13480274728688025600
- Sum of all divisors σ(n): 50127014177353320480
- Sum of proper divisors (its aliquot sum) s(n): 36646739448665294880
- 13480274728688025600 is an abundant number, because the sum of its proper divisors (36646739448665294880) is greater than itself. Its abundance is 23166464719977269280
Bases of 13480274728688025600
- Binary: 10111011000100111000111001110001101101100010000000000000000000002
- Hexadecimal: 0xBB138E71B6200000
- Base-36: 2UF06KUFDHC00
Squares and roots of 13480274728688025600
- 13480274728688025600 squared (134802747286880256002) is 181717806760905022200267452826255360000
- 13480274728688025600 cubed (134802747286880256003) is 2449605958231642012201900033617054638673798119817216000000
-
The
square root of 13480274728688025600 is 3671549363.5096376843 -
The
cube root of 13480274728688025600 is 2379941.3120598891
Scales and comparisons
How big is 13480274728688025600?- 13,480,274,728,688,025,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,480,274,728,688,025,600 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 13480274728688025600 cubic inches would be around 198328.4 feet tall.
Recreational maths with 13480274728688025600
- 13480274728688025600 backwards is 00652088682747208431
- 13480274728688025600 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13480274728688025600's digits is 81
- More coming soon!
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"Number 13480274728688025600 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 13480274728688025600 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/13480274728688025600/
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Numbermatics. 2024. "Number 13480274728688025600 - Facts about the integer". https://numbermatics.com/n/13480274728688025600/
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