138526528082400
138,526,528,082,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138526528082400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 648 divisors.
138526528082400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138526528082400:
25 × 35 × 52 × 421 × 13012
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 421 × 1301 × 1301)See below for interesting mathematical facts about the number 138526528082400 from the Numbermatics database.
Names of 138526528082400
- Cardinal: 138526528082400 can be written as One hundred thirty-eight trillion, five hundred twenty-six billion, five hundred twenty-eight million, eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.385265280824 × 1014
Factors of 138526528082400
Divisors of 138526528082400
- Number of divisors d(n): 648
-
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 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 200 216 225 240 243 270 288 300 324 360 400 405 421 432 450 480 486 540 600 648 675 720 800 810 842 864 900 972 1080 1200 1215 1263 1296 1301 1350 1440 1620 1684 1800 1944 2025 2105 2160 2400 2430 2526 2592 2602 2700 3240 3368 3600 3789 3888 3903 4050 4210 4320 4860 5052 5204 5400 6075 6315 6480 6505 6736 7200 7578 7776 7806 8100 8420 9720 10104 10408 10525 10800 11367 11709 12150 12630 12960 13010 13472 15156 15612 16200 16840 18945 19440 19515 20208 20816 21050 21600 22734 23418 24300 25260 26020 30312 31224 31575 32400 32525 33680 34101 35127 37890 38880 39030 40416 41632 42100 45468 46836 48600 50520 52040 56835 58545 60624 62448 63150 64800 65050 67360 68202 70254 75780 78060 84200 90936 93672 94725 97200 97575 101040 102303 104080 105381 113670 117090 121248 124896 126300 130100 136404 140508 151560 156120 168400 170505 175635 181872 187344 189450 194400 195150 202080 204606 208160 210762 227340 234180 252600 260200 272808 281016 284175 292725 303120 312240 316143 336800 341010 351270 363744 374688 378900 390300 409212 421524 454680 468360 505200 511515 520400 526905 545616 547721 562032 568350 585450 606240 624480 632286 682020 702540 757800 780600 818424 843048 852525 878175 909360 936720 1010400 1023030 1040800 1053810 1091232 1095442 1124064 1136700 1170900 1264572 1364040 1405080 1515600 1561200 1580715 1636848 1643163 1686096 1692601 1705050 1756350 1818720 1873440 2046060 2107620 2190884 2273400 2341800 2529144 2557575 2634525 2728080 2738605 2810160 3031200 3122400 3161430 3273696 3286326 3372192 3385202 3410100 3512700 4092120 4215240 4381768 4546800 4683600 4929489 5058288 5077803 5115150 5269050 5456160 5477210 5620320 6322860 6572652 6770404 6820200 7025400 7903575 8184240 8215815 8430480 8463005 8763536 9093600 9367200 9858978 10116576 10155606 10230300 10538100 10954420 12645720 13145304 13540808 13640400 13693025 14050800 14788467 15233409 15807150 16368480 16431630 16860960 16926010 17527072 19717956 20311212 20460600 21076200 21908840 24647445 25291440 25389015 26290608 27081616 27280800 27386050 28101600 29576934 30466818 31614300 32863260 33852020 39435912 40622424 40921200 41079075 42152400 42315025 43817680 44365401 45700227 49294890 50582880 50778030 52581216 54163232 54772100 59153868 60933636 63228600 65726520 67704040 73942335 76167045 78871824 81244848 81842400 82158150 84304800 84630050 87635360 88730802 91400454 98589780 101556060 109544200 118307736 121867272 123237225 126457200 126945075 131453040 133096203 135408080 137100681 147884670 152334090 157743648 162489696 164316300 169260100 177461604 182800908 197179560 203112120 219088400 221827005 228501135 236615472 243734544 246474450 252914400 253890150 262906080 266192406 270816160 274201362 295769340 304668180 328632600 338520200 354923208 365601816 369711675 380835225 394359120 406224240 411302043 438176800 443654010 457002270 473230944 487469088 492948900 507780300 532384812 548402724 591538680 609336360 657265200 665481015 677040400 685503405 709846416 712585021 731203632 739423350 761670450 788718240 812448480 822604086 887308020 914004540 985897800 1015560600 1064769624 1096805448 1109135025 1142505675 1183077360 1218672720 1314530400 1330962030 1354080800 1371006810 1419692832 1425170042 1462407264 1478846700 1523340900 1645208172 1774616040 1828009080 1971795600 2031121200 2056510215 2129539248 2137755063 2193610896 2218270050 2285011350 2366154720 2437345440 2661924060 2742013620 2850340084 2957693400 3046681800 3290416344 3327405075 3427517025 3549232080 3562925105 3656018160 3943591200 4062242400 4113020430 4259078496 4275510126 4387221792 4436540100 4570022700 5323848120 5484027240 5700680168 5915386800 6093363600 6413265189 6580832688 6654810150 6855034050 7098464160 7125850210 7312036320 8226040860 8551020252 8873080200 9140045400 10282551075 10647696240 10688775315 10968054480 11401360336 11830773600 12186727200 12826530378 13161665376 13309620300 13710068100 14251700420 16452081720 17102040504 17746160400 17814625525 18280090800 19239795567 20565102150 21295392480 21377550630 21936108960 22802720672 25653060756 26619240600 27420136200 28503400840 32066325945 32904163440 34204081008 35492320800 35629251050 36560181600 38479591134 41130204300 42755101260 51306121512 53238481200 53443876575 54840272400 57006801680 57719386701 64132651890 65808326880 68408162016 71258502100 76959182268 82260408600 85510202520 96198977835 102612243024 106476962400 106887753150 109680544800 114013603360 115438773402 128265303780 142517004200 153918364536 160331629725 164520817200 171020405040 173158160103 192397955670 205224486048 213775506300 230877546804 256530607560 285034008400 288596933505 307836729072 320663259450 329041634400 342040810080 346316320206 384795911340 427551012600 461755093608 480994889175 513061215120 570068016800 577193867010 615673458144 641326518900 692632640412 769591822680 855102025200 865790800515 923510187216 961989778350 1026122430240 1154387734020 1282653037800 1385265280824 1442984667525 1539183645360 1710204050400 1731581601030 1847020374432 1923979556700 2308775468040 2565306075600 2770530561648 2885969335050 3078367290720 3463163202060 3847959113400 4328954002575 4617550936080 5130612151200 5541061123296 5771938670100 6926326404120 7695918226800 8657908005150 9235101872160 11543877340200 13852652808240 15391836453600 17315816010300 23087754680400 27705305616480 34631632020600 46175509360800 69263264041200 138526528082400
- Sum of all divisors σ(n): 508164842602872
- Sum of proper divisors (its aliquot sum) s(n): 369638314520472
- 138526528082400 is an abundant number, because the sum of its proper divisors (369638314520472) is greater than itself. Its abundance is 231111786438072
Bases of 138526528082400
- Binary: 111110111111101001110000111111110010001111000002
- Hexadecimal: 0x7DFD387F91E0
- Base-36: 1D3Q7I6600
Squares and roots of 138526528082400
- 138526528082400 squared (1385265280824002) is 19189598982563955821189760000
- 138526528082400 cubed (1385265280824003) is 2658268522348140294018076241619316224000000
-
The
square root of 138526528082400 is 11769729.3121974559 -
The
cube root of 138526528082400 is 51742.1316369805
Scales and comparisons
How big is 138526528082400?- 138,526,528,082,400 seconds is equal to 4,404,715 years, 5 weeks, 2 days, 6 hours.
-
To count from 1 to 138,526,528,082,400 would take you about eleven million, eleven thousand, seven hundred eighty-seven 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 138526528082400 cubic inches would be around 4311.8 feet tall.
Recreational maths with 138526528082400
- 138526528082400 backwards is 004280825625831
- 138526528082400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138526528082400's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138526528082400 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 138526528082400 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138526528082400/
Chicago style:
Numbermatics. 2024. "Number 138526528082400 - Facts about the integer". https://numbermatics.com/n/138526528082400/
The information we have on file for 138526528082400 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!
Keywords: Divisors of 138526528082400, math, Factors of 138526528082400, curriculum, school, college, exams, university, Prime factorization of 138526528082400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred twenty-six billion, five hundred twenty-eight million, eighty-two thousand, four hundred.