138572090800128000
138,572,090,800,128,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138572090800128000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1440 divisors.
138572090800128000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138572090800128000:
214 × 35 × 53 × 6533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 653 × 653 × 653)See below for interesting mathematical facts about the number 138572090800128000 from the Numbermatics database.
Names of 138572090800128000
- Cardinal: 138572090800128000 can be written as One hundred thirty-eight quadrillion, five hundred seventy-two trillion, ninety billion, eight hundred million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38572090800128 × 1017
Factors of 138572090800128000
Divisors of 138572090800128000
- Number of divisors d(n): 1440
-
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 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 486 500 512 540 576 600 640 648 653 675 720 750 768 800 810 864 900 960 972 1000 1024 1080 1125 1152 1200 1215 1280 1296 1306 1350 1440 1500 1536 1600 1620 1728 1800 1920 1944 1959 2000 2025 2048 2160 2250 2304 2400 2430 2560 2592 2612 2700 2880 3000 3072 3200 3240 3265 3375 3456 3600 3840 3888 3918 4000 4050 4096 4320 4500 4608 4800 4860 5120 5184 5224 5400 5760 5877 6000 6075 6144 6400 6480 6530 6750 6912 7200 7680 7776 7836 8000 8100 8192 8640 9000 9216 9600 9720 9795 10125 10240 10368 10448 10800 11520 11754 12000 12150 12288 12800 12960 13060 13500 13824 14400 15360 15552 15672 16000 16200 16325 16384 17280 17631 18000 18432 19200 19440 19590 20250 20480 20736 20896 21600 23040 23508 24000 24300 24576 25600 25920 26120 27000 27648 28800 29385 30375 30720 31104 31344 32000 32400 32650 34560 35262 36000 36864 38400 38880 39180 40500 40960 41472 41792 43200 46080 47016 48000 48600 48975 49152 51200 51840 52240 52893 54000 55296 57600 58770 60750 61440 62208 62688 64000 64800 65300 69120 70524 72000 73728 76800 77760 78360 81000 81625 81920 82944 83584 86400 88155 92160 94032 96000 97200 97950 102400 103680 104480 105786 108000 110592 115200 117540 121500 122880 124416 125376 128000 129600 130600 138240 141048 144000 146925 147456 153600 155520 156720 158679 162000 163250 165888 167168 172800 176310 184320 188064 192000 194400 195900 204800 207360 208960 211572 216000 221184 230400 235080 243000 244875 245760 248832 250752 256000 259200 261200 264465 276480 282096 288000 293850 307200 311040 313440 317358 324000 326500 331776 334336 345600 352620 368640 376128 384000 388800 391800 409600 414720 417920 423144 426409 432000 440775 442368 460800 470160 486000 489750 497664 501504 512000 518400 522400 528930 552960 564192 576000 587700 614400 622080 626880 634716 648000 653000 663552 668672 691200 705240 734625 737280 752256 768000 777600 783600 793395 829440 835840 846288 852818 864000 881550 921600 940320 972000 979500 995328 1003008 1024000 1036800 1044800 1057860 1105920 1128384 1152000 1175400 1228800 1244160 1253760 1269432 1279227 1296000 1306000 1322325 1327104 1337344 1382400 1410480 1469250 1504512 1536000 1555200 1567200 1586790 1658880 1671680 1692576 1705636 1728000 1763100 1843200 1880640 1944000 1959000 1990656 2006016 2048000 2073600 2089600 2115720 2132045 2203875 2211840 2256768 2304000 2350800 2488320 2507520 2538864 2558454 2592000 2612000 2644650 2674688 2764800 2820960 2938500 3009024 3072000 3110400 3134400 3173580 3317760 3343360 3385152 3411272 3456000 3526200 3686400 3761280 3837681 3888000 3918000 3966975 3981312 4012032 4147200 4179200 4231440 4264090 4407750 4513536 4608000 4701600 4976640 5015040 5077728 5116908 5184000 5224000 5289300 5349376 5529600 5641920 5877000 6018048 6144000 6220800 6268800 6347160 6396135 6611625 6635520 6686720 6770304 6822544 6912000 7052400 7522560 7675362 7776000 7836000 7933950 8024064 8294400 8358400 8462880 8528180 8815500 9027072 9216000 9403200 9953280 10030080 10155456 10233816 10368000 10448000 10578600 10660225 10698752 11059200 11283840 11513043 11754000 12036096 12441600 12537600 12694320 12792270 13223250 13373440 13540608 13645088 13824000 14104800 15045120 15350724 15552000 15672000 15867900 16048128 16588800 16716800 16925760 17056360 17631000 18054144 18432000 18806400 19188405 19834875 19906560 20060160 20310912 20467632 20736000 20896000 21157200 21320450 22567680 23026086 23508000 24072192 24883200 25075200 25388640 25584540 26446500 26746880 27081216 27290176 27648000 28209600 30090240 30701448 31104000 31344000 31735800 31980675 32096256 33177600 33433600 33851520 34112720 34539129 35262000 36108288 37612800 38376810 39669750 40120320 40621824 40935264 41472000 41792000 42314400 42640900 45135360 46052172 47016000 48144384 49766400 50150400 50777280 51169080 52893000 53301125 53493760 54162432 54580352 55296000 56419200 57565215 60180480 61402896 62208000 62688000 63471600 63961350 66867200 67703040 68225440 69078258 70524000 72216576 75225600 76753620 79339500 80240640 81243648 81870528 82944000 83584000 84628800 85281800 90270720 92104344 94032000 95942025 96288768 99532800 100300800 101554560 102338160 103617387 105786000 106602250 108324864 109160704 112838400 115130430 120360960 122805792 124416000 125376000 126943200 127922700 133734400 135406080 136450880 138156516 141048000 144433152 150451200 153507240 158679000 159903375 160481280 162487296 163741056 165888000 167168000 169257600 170563600 172695645 180541440 184208688 188064000 191884050 200601600 203109120 204676320 207234774 211572000 213204500 216649728 218321408 225676800 230260860 240721920 245611584 248832000 250752000 253886400 255845400 267468800 270812160 272901760 276313032 278445077 282096000 287826075 288866304 300902400 307014480 317358000 319806750 324974592 327482112 334336000 338515200 341127200 345391290 361082880 368417376 376128000 383768100 401203200 406218240 409352640 414469548 423144000 426409000 433299456 436642816 451353600 460521720 479710125 481443840 491223168 497664000 501504000 507772800 511690800 518086935 541624320 545803520 552626064 556890154 564192000 575652150 601804800 614028960 634716000 639613500 649949184 654964224 668672000 677030400 682254400 690782580 722165760 736834752 752256000 767536200 802406400 812436480 818705280 828939096 835335231 846288000 852818000 863478225 866598912 873285632 902707200 921043440 959420250 982446336 1003008000 1015545600 1023381600 1036173870 1083248640 1091607040 1105252128 1113780308 1128384000 1151304300 1203609600 1228057920 1269432000 1279227000 1299898368 1309928448 1337344000 1354060800 1364508800 1381565160 1392225385 1439130375 1444331520 1473669504 1504512000 1535072400 1624872960 1637410560 1657878192 1670670462 1692576000 1705636000 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174657126400 176840340480 178204849280 180432409896 184208688000 187950426975 188629696512 196489267200 200480455440 207234774000 208833807750 212208408576 213845819136 218321408000 221050425600 222756061600 225540512370 235787120640 240576546528 245611584000 250600569300 261985689600 265260510720 267307273920 270648614844 276313032000 278445077000 282944544768 285127758848 294733900800 300720683160 313250711625 314382827520 320768728704 324974592000 327482112000 331575638400 334134092400 338310768555 353680680960 356409698560 360864819792 368417376000 375900853950 392978534400 400960910880 414469548000 417667615500 424416817152 427691638272 436642816000 442100851200 445512123200 451081024740 471574241280 481153093056 491223168000 501201138600 523971379200 530521021440 534614547840 541297229688 552626064000 556890154000 563851280925 565889089536 570255517696 589467801600 601441366320 626501423250 641537457408 654964224000 663151276800 668268184800 676621537110 707361361920 712819397120 721729639584 736834752000 751801707900 785957068800 801921821760 828939096000 835335231000 848833634304 855383276544 873285632000 884201702400 891024246400 902162049480 939752134875 943148482560 962306186112 982446336000 1002402277200 1061042042880 1069229095680 1082594459376 1105252128000 1113780308000 1127702561850 1140511035392 1178935603200 1202882732640 1253002846500 1283074914816 1309928448000 1326302553600 1336536369600 1353243074220 1414722723840 1425638794240 1443459279168 1473669504000 1503603415800 1571914137600 1603843643520 1657878192000 1670670462000 1691553842775 1697667268608 1710766553088 1768403404800 1782048492800 1804324098960 1879504269750 1924612372224 1964892672000 2004804554400 2122084085760 2138458191360 2165188918752 2210504256000 2227560616000 2255405123700 2281022070784 2357871206400 2405765465280 2506005693000 2566149829632 2619856896000 2652605107200 2673072739200 2706486148440 2819256404625 2829445447680 2851277588480 2886918558336 2947339008000 3007206831600 3207687287040 3315756384000 3341340924000 3383107685550 3421533106176 3536806809600 3564096985600 3608648197920 3759008539500 3849224744448 3929785344000 4009609108800 4244168171520 4276916382720 4330377837504 4421008512000 4455121232000 4510810247400 4562044141568 4715742412800 4811530930560 5012011386000 5132299659264 5305210214400 5346145478400 5412972296880 5638512809250 5702555176960 5773837116672 5894678016000 6014413663200 6415374574080 6631512768000 6682681848000 6766215371100 6843066212352 7073613619200 7128193971200 7217296395840 7518017079000 7698449488896 7859570688000 8019218217600 8457769213875 8488336343040 8553832765440 8660755675008 8842017024000 8910242464000 9021620494800 9623061861120 10024022772000 10264599318528 10610420428800 10692290956800 10825944593760 11277025618500 11405110353920 11547674233344 11789356032000 12028827326400 12830749148160 13263025536000 13365363696000 13532430742200 13686132424704 14147227238400 14256387942400 14434592791680 15036034158000 15396898977792 16038436435200 16915538427750 17107665530880 17321511350016 17684034048000 17820484928000 18043240989600 19246123722240 20048045544000 20529198637056 21220840857600 21384581913600 21651889187520 22554051237000 22810220707840 23095348466688 23578712064000 24057654652800 25661498296320 26526051072000 26730727392000 27064861484400 28512775884800 28869185583360 30072068316000 30793797955584 32076872870400 33831076855500 34215331061760 34643022700032 35368068096000 35640969856000 36086481979200 38492247444480 40096091088000 41058397274112 42441681715200 42769163827200 43303778375040 45108102474000 46190696933376 48115309305600 51322996592640 53052102144000 53461454784000 54129722968800 57025551769600 57738371166720 60144136632000 61587595911168 64153745740800 67662153711000 68430662123520 69286045400064 70736136192000 71281939712000 72172963958400 76984494888960 80192182176000 85538327654400 86607556750080 90216204948000 92381393866752 96230618611200 102645993185280 106104204288000 106922909568000 108259445937600 114051103539200 115476742333440 120288273264000 123175191822336 128307491481600 135324307422000 138572090800128 142563879424000 144345927916800 153968989777920 160384364352000 171076655308800 173215113500160 180432409896000 184762787733504 192461237222400 205291986370560 212208408576000 213845819136000 216518891875200 230953484666880 240576546528000 256614982963200 270648614844000 277144181600256 285127758848000 288691855833600 307937979555840 320768728704000 342153310617600 346430227000320 360864819792000 369525575467008 384922474444800 427691638272000 433037783750400 461906969333760 481153093056000 513229965926400 541297229688000 554288363200512 570255517696000 577383711667200 615875959111680 641537457408000 692860454000640 721729639584000 769844948889600 855383276544000 866075567500800 923813938667520 962306186112000 1026459931852800 1082594459376000 1108576726401024 1154767423334400 1283074914816000 1385720908001280 1443459279168000 1539689897779200 1710766553088000 1732151135001600 1847627877335040 1924612372224000 2165188918752000 2309534846668800 2566149829632000 2771441816002560 2886918558336000 3079379795558400 3464302270003200 3849224744448000 4330377837504000 4619069693337600 5132299659264000 5542883632005120 5773837116672000 6928604540006400 7698449488896000 8660755675008000 9238139386675200 11547674233344000 13857209080012800 15396898977792000 17321511350016000 23095348466688000 27714418160025600 34643022700032000 46190696933376000 69286045400064000 138572090800128000
- Sum of all divisors σ(n): 518881028911801920
- Sum of proper divisors (its aliquot sum) s(n): 380308938111673920
- 138572090800128000 is an abundant number, because the sum of its proper divisors (380308938111673920) is greater than itself. Its abundance is 241736847311545920
Bases of 138572090800128000
- Binary: 1111011000100111010010101000101111110110011000000000000002
- Hexadecimal: 0x1EC4E9517ECC000
- Base-36: 11WFPFOT1C00
Squares and roots of 138572090800128000
- 138572090800128000 squared (1385720908001280002) is 19202224348718919095244816384000000
- 138572090800128000 cubed (1385720908001280003) is 2660892376015106805260754565837167003697152000000000
-
The
square root of 138572090800128000 is 372252724.3689802737 -
The
cube root of 138572090800128000 is 517478.0384467659
Scales and comparisons
How big is 138572090800128000?- 138,572,090,800,128,000 seconds is equal to 4,406,163,855 years, 42 weeks, 6 days.
-
To count from 1 to 138,572,090,800,128,000 would take you about thirteen billion, two hundred eighteen million, four hundred ninety-one thousand, five hundred sixty-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 138572090800128000 cubic inches would be around 43123.2 feet tall.
Recreational maths with 138572090800128000
- 138572090800128000 backwards is 000821008090275831
- 138572090800128000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138572090800128000's digits is 54
- More coming soon!
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The information we have on file for 138572090800128000 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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