13436068460774400
13,436,068,460,774,400 is an even composite number composed of five prime numbers multiplied together.
13436068460774400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-six divisors.
Prime factorization of 13436068460774400:
210 × 32 × 52 × 7 × 8330895623
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 8330895623)See below for interesting mathematical facts about the number 13436068460774400 from the Numbermatics database.
Names of 13436068460774400
- Cardinal: 13436068460774400 can be written as Thirteen quadrillion, four hundred thirty-six trillion, sixty-eight billion, four hundred sixty million, seven hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.34360684607744 × 1016
Factors of 13436068460774400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 8330895640
Divisors of 13436068460774400
- Number of divisors d(n): 396
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 252 256 280 288 300 315 320 336 350 360 384 400 420 448 450 480 504 512 525 560 576 600 630 640 672 700 720 768 800 840 896 900 960 1008 1024 1050 1120 1152 1200 1260 1280 1344 1400 1440 1536 1575 1600 1680 1792 1800 1920 2016 2100 2240 2304 2400 2520 2560 2688 2800 2880 3072 3150 3200 3360 3584 3600 3840 4032 4200 4480 4608 4800 5040 5120 5376 5600 5760 6300 6400 6720 7168 7200 7680 8064 8400 8960 9216 9600 10080 10752 11200 11520 12600 12800 13440 14400 15360 16128 16800 17920 19200 20160 21504 22400 23040 25200 25600 26880 28800 32256 33600 35840 38400 40320 44800 46080 50400 53760 57600 64512 67200 76800 80640 89600 100800 107520 115200 134400 161280 179200 201600 230400 268800 322560 403200 537600 806400 1612800 8330895623 16661791246 24992686869 33323582492 41654478115 49985373738 58316269361 66647164984 74978060607 83308956230 99970747476 116632538722 124963434345 133294329968 149956121214 166617912460 174948808083 199941494952 208272390575 233265077444 249926868690 266588659936 291581346805 299912242428 333235824920 349897616166 374890303035 399882989904 416544781150 466530154888 499853737380 524846424249 533177319872 583162693610 599824484856 624817171725 666471649840 699795232332 749780606070 799765979808 833089562300 874744040415 933060309776 999707474760 1049692848498 1066354639744 1166325387220 1199648969712 1249634343450 1332943299680 1399590464664 1457906734025 1499561212140 1599531959616 1666179124600 1749488080830 1866120619552 1874451515175 1999414949520 2099385696996 2132709279488 2332650774440 2399297939424 2499268686900 2624232121245 2665886599360 2799180929328 2915813468050 2999122424280 3199063919232 3332358249200 3498976161660 3732241239104 3748903030350 3998829899040 4198771393992 4265418558976 4373720202075 4665301548880 4798595878848 4998537373800 5248464242490 5331773198720 5598361858656 5831626936100 5998244848560 6398127838464 6664716498400 6997952323320 7464482478208 7497806060700 7997659798080 8397542787984 8530837117952 8747440404150 9330603097760 9597191757696 9997074747600 10496928484980 10663546397440 11196723717312 11663253872200 11996489697120 12796255676928 13121160606225 13329432996800 13995904646640 14928964956416 14995612121400 15995319596160 16795085575968 17494880808300 18661206195520 19194383515392 19994149495200 20993856969960 21327092794880 22393447434624 23326507744400 23992979394240 25592511353856 26242321212450 26658865993600 27991809293280 29857929912832 29991224242800 31990639192320 33590171151936 34989761616600 37322412391040 38388767030784 39988298990400 41987713939920 42654185589760 44786894869248 46653015488800 47985958788480 52484642424900 53317731987200 55983618586560 59715859825664 59982448485600 63981278384640 67180342303872 69979523233200 74644824782080 76777534061568 79976597980800 83975427879840 89573789738496 93306030977600 95971917576960 104969284849800 106635463974400 111967237173120 119964896971200 127962556769280 134360684607744 139959046466400 149289649564160 159953195961600 167950855759680 179147579476992 186612061955200 191943835153920 209938569699600 213270927948800 223934474346240 239929793942400 268721369215488 279918092932800 298579299128320 319906391923200 335901711519360 373224123910400 383887670307840 419877139399200 447868948692480 479859587884800 537442738430976 559836185865600 639812783846400 671803423038720 746448247820800 839754278798400 895737897384960 959719175769600 1119672371731200 1343606846077440 1492896495641600 1679508557596800 1919438351539200 2239344743462400 2687213692154880 3359017115193600 4478689486924800 6718034230387200 13436068460774400
- Sum of all divisors σ(n): 54979978935665472
- Sum of proper divisors (its aliquot sum) s(n): 41543910474891072
- 13436068460774400 is an abundant number, because the sum of its proper divisors (41543910474891072) is greater than itself. Its abundance is 28107842014116672
Bases of 13436068460774400
- Binary: 1011111011110000001000011101111100100001000100000000002
- Hexadecimal: 0x2FBC0877C84400
- Base-36: 3OAOSN0JCW0
Squares and roots of 13436068460774400
- 13436068460774400 squared (134360684607744002) is 180527935682616554431447695360000
- 13436068460774400 cubed (134360684607744003) is 2425585702913913690662865871517897440886784000000
-
The
square root of 13436068460774400 is 115914056.3554498337 -
The
cube root of 13436068460774400 is 237733.6925536477
Scales and comparisons
How big is 13436068460774400?- 13,436,068,460,774,400 seconds is equal to 427,225,416 years, 29 weeks, 2 days, 8 hours.
-
To count from 1 to 13,436,068,460,774,400 would take you about one billion, two hundred eighty-one million, six hundred seventy-six thousand, two hundred forty-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 13436068460774400 cubic inches would be around 19811.1 feet tall.
Recreational maths with 13436068460774400
- 13436068460774400 backwards is 00447706486063431
- 13436068460774400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13436068460774400's digits is 63
- More coming soon!
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