138609820004566400
138,609,820,004,566,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138609820004566400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138609820004566400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138609820004566400:
27 × 52 × 7 × 61 × 732 × 43632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 61 × 73 × 73 × 4363 × 4363)See below for interesting mathematical facts about the number 138609820004566400 from the Numbermatics database.
Names of 138609820004566400
- Cardinal: 138609820004566400 can be written as One hundred thirty-eight quadrillion, six hundred nine trillion, eight hundred twenty billion, four million, five hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.386098200045664 × 1017
Factors of 138609820004566400
Divisors of 138609820004566400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 61 64 70 73 80 100 112 122 128 140 146 160 175 200 224 244 280 292 305 320 350 365 400 427 448 488 511 560 584 610 640 700 730 800 854 896 976 1022 1120 1168 1220 1400 1460 1525 1600 1708 1825 1952 2044 2135 2240 2336 2440 2555 2800 2920 3050 3200 3416 3650 3904 4088 4270 4363 4453 4480 4672 4880 5110 5329 5600 5840 6100 6832 7300 7808 8176 8540 8726 8906 9344 9760 10220 10658 10675 11200 11680 12200 12775 13664 14600 16352 17080 17452 17812 19520 20440 21316 21350 21815 22265 22400 23360 24400 25550 26645 27328 29200 30541 31171 32704 34160 34904 35624 37303 39040 40880 42632 42700 43630 44530 46720 48800 51100 53290 54656 58400 61082 62342 65408 68320 69808 71248 74606 81760 85264 85400 87260 89060 97600 102200 106580 109075 111325 116800 122164 124684 133225 136640 139616 142496 149212 152705 155855 163520 170528 170800 174520 178120 186515 195200 204400 213160 218150 222650 233600 244328 249368 266143 266450 273280 279232 284992 298424 305410 311710 318499 325069 327040 341056 341600 349040 356240 373030 408800 426320 436300 445300 488656 498736 532286 532900 558464 569984 596848 610820 623420 636998 650138 682112 683200 698080 712480 746060 763525 779275 817600 852640 872600 890600 932575 977312 997472 1064572 1065800 1193696 1221640 1246840 1273996 1300276 1330715 1366400 1396160 1424960 1492120 1527050 1558550 1592495 1625345 1635200 1705280 1745200 1781200 1863001 1865150 1954624 1994944 2129144 2131600 2229493 2275483 2387392 2443280 2493680 2547992 2600552 2661430 2792320 2849920 2984240 3054100 3117100 3184990 3250690 3410560 3490400 3562400 3726002 3730300 3909248 3989888 4258288 4263200 4458986 4550966 4774784 4886560 4987360 5095984 5201104 5322860 5968480 6108200 6234200 6369980 6501380 6653575 6980800 7124800 7452004 7460600 7962475 8126725 8516576 8526400 8917972 9101932 9315005 9773120 9974720 10191968 10402208 10645720 11147465 11377415 11936960 12216400 12468400 12739960 13002760 13307150 13961600 14249600 14904008 14921200 15924950 16253450 17033152 17052800 17835944 18203864 18630010 19035769 19428439 19546240 19949440 20383936 20804416 21291440 22294930 22754830 23250427 23873920 24432800 24936800 25479920 26005520 26614300 29808016 29842400 31849900 32506900 34066304 35671888 36407728 37260020 38071538 38856878 40767872 41608832 42582880 44589860 45509660 46500854 46575025 48865600 49873600 50959840 52011040 53228600 55737325 56887075 59616032 59684800 63699800 65013800 71343776 72815456 74520040 76143076 77713756 85165760 89179720 91019320 93001708 93150050 95178845 97142195 97731200 99747200 101919680 104022080 106457200 111474650 113774150 116252135 119232064 119369600 127399600 130027600 133250383 135999073 142687552 145630912 149040080 152286152 155427512 162752989 170331520 178359440 182038640 186003416 186300100 190357690 194284390 203839360 208044160 212914400 222949300 227548300 232504270 238464128 254799200 260055200 266500766 271998146 285375104 291261824 298080160 304572304 310855024 325505978 356718880 364077280 372006832 372600200 380715380 388568780 425828800 445898600 455096600 465008540 475894225 485710975 509598400 520110400 533001532 543996292 581260675 596160320 609144608 621710048 651011956 666251915 679995365 713437760 728154560 744013664 745200400 761430760 777137560 813764945 851657600 891797200 910193200 930017080 951788450 971421950 1019196800 1040220800 1066003064 1087992584 1161181909 1162521350 1192320640 1218289216 1243420096 1302023912 1332503830 1359990730 1389611137 1418276047 1426875520 1456309120 1488027328 1490400800 1522861520 1554275120 1627529890 1783594400 1820386400 1860034160 1903576900 1942843900 2132006128 2175985168 2322363818 2325042700 2436578432 2486840192 2604047824 2665007660 2719981460 2779222274 2836552094 2976054656 2980801600 3045723040 3108550240 3255059780 3331259575 3399976825 3567188800 3640772800 3720068320 3807153800 3885687800 4068824725 4264012256 4351970336 4644727636 4650085400 5208095648 5330015320 5439962920 5558444548 5673104188 5805909545 5961603200 6091446080 6217100480 6510119560 6662519150 6799953650 6948055685 7091380235 7134377600 7281545600 7440136640 7614307600 7771375600 8128273363 8137649450 8528024512 8703940672 9289455272 9300170800 9727277959 9927932329 10416191296 10660030640 10879925840 11116889096 11346208376 11611819090 12182892160 12434200960 13020239120 13325038300 13599907300 13896111370 14182760470 14880273280 15228615200 15542751200 16256546726 16275298900 17056049024 17407881344 18578910544 18600341600 19454555918 19855864658 20832382592 21320061280 21759851680 22233778192 22692416752 23223638180 26040478240 26650076600 27199814600 27792222740 28365520940 29029547725 30457230400 31085502400 32513093452 32550597800 34740278425 35456901175 37157821088 37200683200 38909111836 39711729316 40641366815 42640122560 43519703360 44467556384 45384833504 46447276360 48636389795 49639661645 52080956480 53300153200 54399629200 55584445480 56731041880 58059095450 60914460800 62171004800 65026186904 65101195600 69480556850 70913802350 74315642176 74401366400 77818223672 79423458632 81282733630 84766279357 85280245120 87039406720 88935112768 90769667008 92894552720 97272779590 99279323290 101441613001 104161912960 106600306400 108799258400 111168890960 113462083760 116118190900 130052373808 130202391200 138961113700 141827604700 148631284352 155636447344 158846917264 162565467260 169532558714 177870225536 181539334016 185789105440 194545559180 198558646580 202883226002 203206834075 213200612800 217598516800 222337781920 226924167520 232236381800 243181948975 248198308225 260104747616 260404782400 277922227400 283655209400 311272894688 317693834528 325130934520 339065117428 371578210880 389091118360 397117293160 405766452004 406413668150 423831396785 426401225600 435197033600 444675563840 453848335040 464472763600 486363897950 496396616450 507208065005 520209495232 520809564800 555844454800 567310418800 593363955499 622545789376 635387669056 650261869040 678130234856 710091291007 743156421760 778182236720 794234586320 811532904008 812827336300 847662793570 889351127680 907696670080 928945527200 972727795900 992793232900 1014416130010 1040418990464 1111688909600 1134620837600 1186727910998 1245091578752 1270775338112 1300523738080 1356260469712 1420182582014 1556364473440 1588469172640 1623065808016 1625654672600 1695325587140 1857891054400 1945455591800 1985586465800 2028832260020 2119156983925 2223377819200 2269241675200 2373455821996 2536040325025 2601047476160 2712520939424 2840365164028 2966819777495 3112728946880 3176938345280 3246131616032 3251309345200 3390651174280 3550456455035 3715782108800 3890911183600 3971172931600 4057664520040 4238313967850 4446755638400 4538483350400 4746911643992 5072080650050 5202094952320 5425041878848 5680730328056 5933639554990 6187938393061 6225457893760 6353876690560 6492263232064 6502618690400 6781302348560 7100912910070 7781822367200 7942345863200 8115329040080 8476627935700 9493823287984 10144161300100 10850083757696 11361460656112 11867279109980 12375876786122 12984526464128 13005237380800 13562604697120 14201825820140 14834098887475 15563644734400 15884691726400 16230658080160 16953255871400 17752282275175 18987646575968 20288322600200 22722921312224 23734558219960 24751753572244 26010474761600 27125209394240 28403651640280 29668197774950 30939691965305 31127289468800 31769383452800 32461316160320 33906511742800 35504564550350 37975293151936 40576645200400 43315568751427 45445842624448 47469116439920 49503507144488 54250418788480 56807303280560 59336395549900 61879383930610 64922632320640 67813023485600 71009129100700 75950586303872 81153290400800 86631137502854 90891685248896 94938232879840 99007014288976 113614606561120 118672791099800 123758767861220 135626046971200 142018258201400 154698459826525 162306580801600 173262275005708 189876465759680 198014028577952 216577843757135 227229213122240 237345582199600 247517535722440 271252093942400 284036516402800 309396919653050 324613161603200 346524550011416 379752931519360 396028057155904 433155687514270 454458426244480 474691164399200 495035071444880 568073032805600 618793839306100 693049100022832 792056114311808 866311375028540 949382328798400 990070142889760 1082889218785675 1136146065611200 1237587678612200 1386098200045664 1732622750057080 1898764657596800 1980140285779520 2165778437571350 2272292131222400 2475175357224400 2772196400091328 3465245500114160 3960280571559040 4331556875142700 4950350714448800 5544392800182656 6930491000228320 8663113750285400 9900701428897600 13860982000456640 17326227500570800 19801402857795200 27721964000913280 34652455001141600 69304910002283200 138609820004566400
- Sum of all divisors σ(n): 403355976286047120
- Sum of proper divisors (its aliquot sum) s(n): 264746156281480720
- 138609820004566400 is an abundant number, because the sum of its proper divisors (264746156281480720) is greater than itself. Its abundance is 126136336276914320
Bases of 138609820004566400
- Binary: 1111011000111000011100101100110111100000011000101100000002
- Hexadecimal: 0x1EC70E59BC0C580
- Base-36: 11WT2W8V7XQ8
Squares and roots of 138609820004566400
- 138609820004566400 squared (1386098200045664002) is 19212682201698295764116852008960000
- 138609820004566400 cubed (1386098200045664003) is 2663066421782337262176834413705847180213714944000000
-
The
square root of 138609820004566400 is 372303397.7881029223 -
The
cube root of 138609820004566400 is 517524.9989925137
Scales and comparisons
How big is 138609820004566400?- 138,609,820,004,566,400 seconds is equal to 4,407,363,527 years, 42 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,609,820,004,566,400 would take you about thirteen billion, two hundred twenty-two million, ninety thousand, five hundred eighty-three 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 138609820004566400 cubic inches would be around 43127.1 feet tall.
Recreational maths with 138609820004566400
- 138609820004566400 backwards is 004665400028906831
- The number of decimal digits it has is: 18
- The sum of 138609820004566400's digits is 62
- More coming soon!
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The information we have on file for 138609820004566400 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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