138483218906726400
138,483,218,906,726,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138483218906726400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2430 divisors.
138483218906726400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 138483218906726400:
214 × 32 × 52 × 72 × 31 × 49732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 31 × 4973 × 4973)See below for interesting mathematical facts about the number 138483218906726400 from the Numbermatics database.
Names of 138483218906726400
- Cardinal: 138483218906726400 can be written as One hundred thirty-eight quadrillion, four hundred eighty-three trillion, two hundred eighteen billion, nine hundred six million, seven hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.384832189067264 × 1017
Factors of 138483218906726400
Divisors of 138483218906726400
- Number of divisors d(n): 2430
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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 31 32 35 36 40 42 45 48 49 50 56 60 62 63 64 70 72 75 80 84 90 93 96 98 100 105 112 120 124 126 128 140 144 147 150 155 160 168 175 180 186 192 196 200 210 217 224 225 240 245 248 252 256 279 280 288 294 300 310 315 320 336 350 360 372 384 392 400 420 434 441 448 450 465 480 490 496 504 512 525 558 560 576 588 600 620 630 640 651 672 700 720 735 744 768 775 784 800 840 868 882 896 900 930 960 980 992 1008 1024 1050 1085 1116 1120 1152 1176 1200 1225 1240 1260 1280 1302 1344 1395 1400 1440 1470 1488 1519 1536 1550 1568 1575 1600 1680 1736 1764 1792 1800 1860 1920 1953 1960 1984 2016 2048 2100 2170 2205 2232 2240 2304 2325 2352 2400 2450 2480 2520 2560 2604 2688 2790 2800 2880 2940 2976 3038 3072 3100 3136 3150 3200 3255 3360 3472 3528 3584 3600 3675 3720 3840 3906 3920 3968 4032 4096 4200 4340 4410 4464 4480 4557 4608 4650 4704 4800 4900 4960 4973 5040 5120 5208 5376 5425 5580 5600 5760 5880 5952 6076 6144 6200 6272 6300 6400 6510 6720 6944 6975 7056 7168 7200 7350 7440 7595 7680 7812 7840 7936 8064 8192 8400 8680 8820 8928 8960 9114 9216 9300 9408 9600 9765 9800 9920 9946 10080 10240 10416 10752 10850 11025 11160 11200 11520 11760 11904 12152 12288 12400 12544 12600 12800 13020 13440 13671 13888 13950 14112 14336 14400 14700 14880 14919 15190 15360 15624 15680 15872 16128 16275 16384 16800 17360 17640 17856 17920 18228 18432 18600 18816 19200 19530 19600 19840 19892 20160 20480 20832 21504 21700 22050 22320 22400 22785 23040 23520 23808 24304 24576 24800 24865 25088 25200 25600 26040 26880 27342 27776 27900 28224 28672 28800 29400 29760 29838 30380 30720 31248 31360 31744 32256 32550 33600 34720 34811 35280 35712 35840 36456 36864 37200 37632 37975 38400 39060 39200 39680 39784 40320 40960 41664 43008 43400 44100 44640 44757 44800 45570 46080 47040 47616 48608 48825 49152 49600 49730 50176 50400 51200 52080 53760 54684 55552 55800 56448 57344 57600 58800 59520 59676 60760 61440 62496 62720 63488 64512 65100 67200 68355 69440 69622 70560 71424 71680 72912 73728 74400 74595 75264 75950 76800 78120 78400 79360 79568 80640 81920 83328 86016 86800 88200 89280 89514 89600 91140 92160 94080 95232 97216 97650 99200 99460 100352 100800 102400 104160 104433 107520 109368 111104 111600 112896 113925 114688 115200 117600 119040 119352 121520 122880 124325 124992 125440 126976 129024 130200 134400 136710 138880 139244 141120 142848 143360 145824 147456 148800 149190 150528 151900 153600 154163 156240 156800 158720 159136 161280 166656 172032 173600 174055 176400 178560 179028 179200 182280 184320 188160 190464 194432 195300 198400 198920 200704 201600 204800 208320 208866 215040 218736 222208 223200 223785 225792 227850 230400 235200 238080 238704 243040 243677 245760 248650 249984 250880 253952 258048 260400 268800 273420 277760 278488 282240 285696 286720 291648 297600 298380 301056 303800 307200 308326 312480 313299 313600 317440 318272 322560 333312 341775 344064 347200 348110 352800 357120 358056 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9971429932800 10129706598400 10303810930560 10636191928320 10819001477088 10990731659264 11039797425600 11168001524736 11269793205300 11395919923200 11633334921600 11775783920640 12021112752320 12364573116672 12408890583040 12560836182016 12763430313984 12879763663200 13295239910400 13523751846360 13738414574080 13923508838400 13960001905920 14130940704768 14181589237760 14425335302784 14719729900800 14890668699648 15026390940400 15194559897600 15455716395840 15511113228800 15701045227520 15954287892480 16486097488896 16904689807950 17173018217600 17450002382400 17663675880960 17726986547200 18031669128480 18233471877120 18613335874560 18841254273024 19233780403712 19319645494800 19626306534400 19854224932864 19942859865600 20607621861120 21272383856640 21638002954176 21981463318528 22079594851200 22336003049472 22539586410600 22791839846400 23266669843200 23551567841280 24042225504640 24729146233344 24817781166080 25526860627968 25759527326400 26590479820800 27047503692720 27476829148160 27847017676800 27920003811840 28261881409536 28850670605568 29439459801600 29781337399296 30052781880800 30389119795200 30911432791680 31022226457600 31402090455040 31908575784960 32972194977792 33809379615900 34346036435200 34900004764800 35327351761920 35453973094400 36063338256960 37226671749120 37682508546048 38467560807424 38639290989600 39252613068800 39885719731200 41215243722240 42544767713280 43276005908352 43962926637056 44159189702400 44672006098944 45079172821200 45583679692800 46533339686400 47103135682560 48084451009280 49458292466688 49635562332160 51519054652800 53180959641600 54095007385440 54953658296320 55840007623680 56523762819072 57701341211136 58878919603200 59562674798592 60105563761600 61822865583360 62044452915200 62804180910080 63817151569920 65944389955584 67618759231800 68692072870400 69800009529600 70654703523840 70907946188800 72126676513920 74453343498240 76935121614848 77278581979200 78505226137600 79771439462400 82430487444480 86552011816704 87925853274112 88318379404800 89344012197888 90158345642400 91167359385600 93066679372800 94206271365120 96168902018560 98916584933376 99271124664320 103038109305600 106361919283200 108190014770880 109907316592640 111680015247360 113047525638144 115402682422272 117757839206400 120211127523200 123645731166720 124088905830400 127634303139840 131888779911168 135237518463600 137384145740800 139600019059200 141309407047680 144253353027840 148906686996480 153870243229696 154557163958400 157010452275200 159542878924800 164860974888960 173104023633408 176636758809600 178688024395776 180316691284800 186133358745600 188412542730240 192337804037120 197833169866752 206076218611200 212723838566400 216380029541760 219814633185280 223360030494720 230805364844544 235515678412800 240422255046400 247291462333440 248177811660800 263777559822336 270475036927200 274768291481600 279200038118400 282618814095360 288506706055680 297813373992960 307740486459392 309114327916800 314020904550400 319085757849600 329721949777920 346208047266816 353273517619200 360633382569600 372266717491200 384675608074240 395666339733504 412152437222400 432760059083520 439629266370560 446720060989440 461610729689088 471031356825600 480844510092800 494582924666880 496355623321600 540950073854400 549536582963200 558400076236800 565237628190720 577013412111360 615480972918784 618228655833600 638171515699200 659443899555840 692416094533632 706547035238400 721266765139200 744533434982400 769351216148480 791332679467008 824304874444800 865520118167040 893440121978880 923221459378176 942062713651200 961689020185600 989165849333760 1081900147708800 1099073165926400 1116800152473600 1154026824222720 1236457311667200 1318887799111680 1384832189067264 1413094070476800 1442533530278400 1489066869964800 1538702432296960 1648609748889600 1731040236334080 1846442918756352 1923378040371200 1978331698667520 2163800295417600 2198146331852800 2233600304947200 2308053648445440 2472914623334400 2769664378134528 2826188140953600 2885067060556800 3077404864593920 3297219497779200 3462080472668160 3846756080742400 3956663397335040 4327600590835200 4467200609894400 4616107296890880 4945829246668800 5539328756269056 5770134121113600 6594438995558400 6924160945336320 7693512161484800 8655201181670400 9232214593781760 9891658493337600 11540268242227200 13848321890672640 15387024322969600 17310402363340800 19783316986675200 23080536484454400 27696643781345280 34620804726681600 46161072968908800 69241609453363200 138483218906726400
- Sum of all divisors σ(n): 595786720511909472
- Sum of proper divisors (its aliquot sum) s(n): 457303501605183072
- 138483218906726400 is an abundant number, because the sum of its proper divisors (457303501605183072) is greater than itself. Its abundance is 318820282698456672
Bases of 138483218906726400
- Binary: 1111010111111110111000000111111100100100111000000000000002
- Hexadecimal: 0x1EBFDC0FE49C000
- Base-36: 11VK7CI6B5S0
Squares and roots of 138483218906726400
- 138483218906726400 squared (1384832189067264002) is 19177601918768304257263164456960000
- 138483218906726400 cubed (1384832189067264003) is 2655776044622847318386779840155946257947295744000000
-
The
square root of 138483218906726400 is 372133334.8501937147 -
The
cube root of 138483218906726400 is 517367.3882480149
Scales and comparisons
How big is 138483218906726400?- 138,483,218,906,726,400 seconds is equal to 4,403,338,004 years, 26 weeks, 4 days, 16 hours.
-
To count from 1 to 138,483,218,906,726,400 would take you about thirteen billion, two hundred ten million, fourteen thousand and thirteen 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 138483218906726400 cubic inches would be around 43113.9 feet tall.
Recreational maths with 138483218906726400
- 138483218906726400 backwards is 004627609812384831
- 138483218906726400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138483218906726400's digits is 72
- More coming soon!
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"Number 138483218906726400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138483218906726400 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138483218906726400/
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The information we have on file for 138483218906726400 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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