138346209096480
138,346,209,096,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138346209096480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
138346209096480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138346209096480:
25 × 36 × 5 × 7 × 11 × 139 × 110819
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 139 × 110819)See below for interesting mathematical facts about the number 138346209096480 from the Numbermatics database.
Names of 138346209096480
- Cardinal: 138346209096480 can be written as One hundred thirty-eight trillion, three hundred forty-six billion, two hundred nine million, ninety-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3834620909648 × 1014
Factors of 138346209096480
Divisors of 138346209096480
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 66 70 72 77 80 81 84 88 90 96 99 105 108 110 112 120 126 132 135 139 140 144 154 160 162 165 168 176 180 189 198 210 216 220 224 231 240 243 252 264 270 278 280 288 297 308 315 324 330 336 352 360 378 385 396 405 417 420 432 440 462 480 486 495 504 528 540 556 560 567 594 616 630 648 660 672 693 695 720 729 756 770 792 810 834 840 864 880 891 924 945 972 973 990 1008 1056 1080 1112 1120 1134 1155 1188 1215 1232 1251 1260 1296 1320 1386 1390 1440 1458 1485 1512 1529 1540 1584 1620 1668 1680 1701 1760 1782 1848 1890 1944 1946 1980 2016 2079 2085 2160 2224 2268 2310 2376 2430 2464 2502 2520 2592 2640 2673 2772 2780 2835 2916 2919 2970 3024 3058 3080 3168 3240 3336 3360 3402 3465 3564 3645 3696 3753 3780 3888 3892 3960 4158 4170 4320 4448 4455 4536 4587 4620 4752 4860 4865 5004 5040 5103 5280 5346 5544 5560 5670 5832 5838 5940 6048 6116 6160 6237 6255 6480 6672 6804 6930 7128 7290 7392 7506 7560 7645 7776 7784 7920 8019 8316 8340 8505 8757 8910 9072 9174 9240 9504 9720 9730 10008 10080 10206 10395 10692 10703 11088 11120 11259 11340 11664 11676 11880 12232 12320 12474 12510 12960 13344 13365 13608 13761 13860 14256 14580 14595 15012 15120 15290 15568 15840 16038 16632 16680 17010 17514 17820 18144 18348 18480 18711 18765 19440 19460 20016 20412 20790 21384 21406 22176 22240 22518 22680 22935 23328 23352 23760 24464 24948 25020 25515 26271 26730 27216 27522 27720 28512 29160 29190 30024 30240 30580 31136 31185 32076 32109 33264 33360 33777 34020 35028 35640 36696 36960 37422 37530 38880 38920 40032 40095 40824 41283 41580 42768 42812 43785 45036 45360 45870 46704 47520 48928 49896 50040 51030 52542 53460 53515 54432 55044 55440 56133 56295 58320 58380 60048 61160 62370 64152 64218 66528 66720 67554 68040 68805 70056 71280 73392 74844 75060 77840 78813 80190 81648 82566 83160 85536 85624 87570 90072 90720 91740 93408 93555 96327 99792 100080 101331 102060 105084 106920 107030 110088 110819 110880 112266 112590 116640 116760 120096 122320 123849 124740 128304 128436 131355 135108 136080 137610 140112 142560 146784 149688 150120 155680 157626 160380 160545 163296 165132 166320 168885 171248 175140 180144 183480 187110 192654 199584 200160 202662 204120 206415 210168 213840 214060 220176 221638 224532 225180 233520 236439 244640 247698 249480 256608 256872 262710 270216 272160 275220 280224 280665 288981 299376 300240 315252 320760 321090 330264 332457 332640 337770 342496 350280 360288 366960 371547 374220 385308 394065 405324 408240 412830 420336 427680 428120 440352 443276 449064 450360 467040 472878 481635 495396 498960 506655 513744 525420 540432 550440 554095 561330 577962 598752 600480 619245 630504 641520 642180 660528 664914 675540 700560 709317 733920 743094 748440 770616 775733 788130 810648 816480 825660 840672 856240 866943 886552 898128 900720 945756 963270 990792 997371 997920 1013310 1027488 1050840 1080864 1100880 1108190 1114641 1122660 1155924 1182195 1219009 1238490 1261008 1283040 1284360 1321056 1329828 1351080 1401120 1418634 1444905 1486188 1496880 1541232 1551466 1576260 1621296 1651320 1662285 1712480 1733886 1773104 1796256 1801440 1857735 1891512 1926540 1981584 1994742 2026620 2101680 2201760 2216380 2229282 2245320 2311848 2327199 2364390 2438018 2476980 2522016 2568720 2600829 2659656 2702160 2837268 2889810 2972376 2992113 2993760 3082464 3102932 3152520 3242592 3302640 3324570 3467772 3546208 3546585 3657027 3715470 3783024 3853080 3878665 3963168 3989484 4053240 4203360 4334715 4432760 4458564 4490640 4623696 4654398 4728780 4876036 4953960 4986855 5137440 5201658 5319312 5404320 5573205 5674536 5779620 5944752 5984226 6095045 6205864 6305040 6605280 6649140 6935544 6981597 7093170 7314054 7430940 7566048 7706160 7757330 7802487 7978968 8106480 8533063 8669430 8865520 8917128 8976339 8981280 9247392 9308796 9457560 9752072 9907920 9973710 10403316 10638624 10971081 11146410 11349072 11559240 11635995 11889504 11968452 12190090 12411728 12610080 13004145 13298280 13871088 13963194 14186340 14628108 14861880 14960565 15403841 15412320 15514660 15604974 15957936 16212960 17066126 17338860 17731040 17834256 17952678 18285135 18617592 18915120 19504144 19815840 19947420 20806632 20944791 21942162 22292820 22698144 23118480 23271990 23936904 24380180 24823456 25599189 26008290 26596560 26929017 27742176 27926388 28372680 29256216 29723760 29921130 30807682 31029320 31209948 31915872 32913243 34132252 34677720 34907985 35668512 35905356 36570270 37235184 37830240 39008288 39012435 39894840 41613264 41889582 42665315 43884324 44585640 44881695 46211523 46236960 46543980 47873808 48760360 51198378 52016580 53193120 53858034 54855405 55852776 56745360 58512432 59447520 59842260 61615364 62058640 62419896 62834373 65826486 68264504 69355440 69815970 71810712 73140540 74470368 76797567 77019205 78024870 79789680 80787051 83226528 83779164 85330630 87768648 89171280 89763390 92423046 93087960 95747616 97520720 98739729 102396756 104033160 104723955 107716068 107826887 109710810 111705552 113490720 117024864 119684520 123230728 124117280 124839792 125668746 127995945 131652972 134645085 136529008 138634569 138710880 139631940 143621424 146281080 153595134 154038410 156049740 159579360 161574102 164566215 167558328 169442251 170661260 175537296 178342560 179526780 184846092 186175920 188503119 195041440 197479458 204793512 208066320 209447910 215432136 215653774 219421620 223411104 230392701 231057615 239369040 246461456 249679584 251337492 255991890 263305944 269290170 273058016 277269138 279263880 287242848 292562160 296219187 307190268 308076820 312099480 314171865 323148204 323480661 329132430 335116656 338884502 341322520 351074592 359053560 369692184 372351840 377006238 383987835 394958916 403935255 409587024 415903707 416132640 418895820 430864272 431307548 438843240 460785402 462115230 478738080 492922912 493698645 502674984 508326753 511983780 526611888 538580340 539134435 554538276 558527760 565509357 585124320 592438374 614380536 616153640 624198960 628343730 646296408 646961322 658264860 670233312 677769004 682645040 691178103 693172845 718107120 739384368 754012476 767975670 789917832 807870510 819174048 831807414 837791640 847211255 861728544 862615096 877686480 888657561 921570804 924230460 942515595 970441983 987397290 1005349968 1016653506 1023967560 1053223776 1077160680 1078268870 1109076552 1117055520 1131018714 1151963505 1184876748 1186095757 1228761072 1232307280 1247711121 1248397920 1256687460 1292592816 1293922644 1316529720 1355538008 1365290080 1382356206 1386345690 1436214240 1478768736 1481095935 1508024952 1524980259 1535951340 1579835664 1615741020 1617403305 1663614828 1675583280 1694422510 1725230192 1755372960 1777315122 1843141608 1848460920 1885031190 1940883966 1974794580 2010699936 2033307012 2047935120 2073534309 2079518535 2154321360 2156537740 2218153104 2262037428 2303927010 2369753496 2372191514 2457522144 2464614560 2495422242 2513374920 2541633765 2585185632 2587845288 2633059440 2711076016 2764712412 2772691380 2827546785 2911325949 2962191870 3016049904 3049960518 3071902680 3159671328 3231482040 3234806610 3327229656 3351166560 3388845020 3450460384 3455890515 3554630244 3558287271 3686283216 3696921840 3743133363 3770062380 3881767932 3949589160 4066614024 4095870240 4147068618 4159037070 4308642720 4313075480 4436306208 4443287805 4524074856 4574940777 4607854020 4739506992 4744383028 4852209915 4990844484 5026749840 5083267530 5175690576 5266118880 5422152032 5529424824 5545382760 5655093570 5822651898 5924383740 5930478785 6032099808 6099921036 6143805360 6220602927 6238555605 6462964080 6469613220 6654459312 6777690040 6911781030 7109260488 7116574542 7372566432 7393843680 7486266726 7540124760 7624901295 7763535864 7899178320 8133228048 8294137236 8318074140 8626150960 8733977847 8886575610 9048149712 9149881554 9215708040 9479013984 9488766056 9704419830 9981688968 10053499680 10166535060 10351381152 10367671545 10674861813 11058849648 11090765520 11229400089 11310187140 11645303796 11848767480 11860957570 12199842072 12287610720 12441205854 12477111210 12925928160 12939226440 13308918624 13555380080 13724822331 13823562060 14218520976 14233149084 14556629745 14972533452 15080249520 15249802590 15527071728 15798356640 16266456096 16588274472 16636148280 17252301920 17467955694 17773151220 17791436355 18096299424 18299763108 18431416080 18715666815 18977532112 19408839660 19963377936 20333070120 20735343090 21349723626 22117699296 22181531040 22458800178 22620374280 22874703885 23290607592 23697534960 23721915140 24399684144 24882411708 24954222420 25878452880 26201933541 27110760160 27449644662 27647124120 28437041952 28466298168 29113259490 29945066904 30160499040 30499605180 31054143456 31103014635 32024585439 33176548944 33272296560 34935911388 35546302440 35582872710 36599526216 36862832160 37431333630 37955064224 38817679320 39926755872 40666140240 41174466993 41470686180 42699447252 43669889235 44917600356 45240748560 45749407770 46581215184 47395069920 47443830280 48799368288 49764823416 49908444840 51756905760 52403867082 53374309065 54899289324 55294248240 56147000445 56932596336 58226518980 59890133808 60999210360 62206029270 64049170878 66353097888 66544593120 68624111655 69871822776 71092604880 71165745420 73199052432 74862667260 77635358640 78605800623 81332280480 82348933986 82941372360 85398894504 87339778470 89835200712 90481497120 91498815540 93162430368 94887660560 96073756317 99529646832 99816889680 104807734164 106748618130 109798578648 110588496480 112294000890 113865192672 116453037960 119780267616 121998420720 123523400979 124412058540 128098341756 131009667705 137248223310 139743645552 142185209760 142331490840 146398104864 149725334520 155270717280 157211601246 160122927195 164697867972 165882744720 170797789008 174679556940 179670401424 182997631080 189775321120 192147512634 199059293664 199633779360 205872334965 209615468328 213497236260 219597157296 224588001780 232906075920 243996841440 247046801958 248824117080 256196683512 262019335410 274496446620 279487291104 284662981680 288221268951 299450669040 314423202492 320245854390 329395735944 331765489440 341595578016 349359113880 359340802848 365995262160 384295025268 393029003115 411744669930 419230936656 426994472520 439194314592 449176003560 465812151840 480368781585 494093603916 497648234160 512393367024 524038670820 548992893240 569325963360 576442537902 598901338080 617617004895 628846404984 640491708780 658791471888 698718227760 731990524320 768590050536 786058006230 823489339860 838461873312 853988945040 864663806853 898352007120 960737563170 988187207832 995296468320 1024786734048 1048077341640 1097985786480 1152885075804 1235234009790 1257692809968 1280983417560 1317582943776 1397436455520 1441106344755 1537180101072 1572116012460 1646978679720 1707977890080 1729327613706 1796704014240 1921475126340 1976374415664 2096154683280 2195971572960 2305770151608 2470468019580 2515385619936 2561966835120 2882212689510 3074360202144 3144232024920 3293957359440 3458655227412 3842950252680 3952748831328 4192309366560 4323319034265 4611540303216 4940936039160 5123933670240 5764425379020 6288464049840 6587914718880 6917310454824 7685900505360 8646638068530 9223080606432 9881872078320 11528850758040 12576928099680 13834620909648 15371801010720 17293276137060 19763744156640 23057701516080 27669241819296 34586552274120 46115403032160 69173104548240 138346209096480
- Sum of all divisors σ(n): 615360161203200
- Sum of proper divisors (its aliquot sum) s(n): 477013952106720
- 138346209096480 is an abundant number, because the sum of its proper divisors (477013952106720) is greater than itself. Its abundance is 338667743010240
Bases of 138346209096480
- Binary: 111110111010011001111001010011000110011001000002
- Hexadecimal: 0x7DD33CA63320
- Base-36: 1D1FDCWI00
Squares and roots of 138346209096480
- 138346209096480 squared (1383462090964802) is 19139673571366965497948390400
- 138346209096480 cubed (1383462090964803) is 2647901281942706330640441920734054305792000
-
The
square root of 138346209096480 is 11762066.5317145695 -
The
cube root of 138346209096480 is 51719.6711016385
Scales and comparisons
How big is 138346209096480?- 138,346,209,096,480 seconds is equal to 4,398,981 years, 26 weeks, 5 days, 22 hours, 48 minutes.
-
To count from 1 to 138,346,209,096,480 would take you about ten million, nine hundred ninety-seven thousand, four hundred fifty-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 138346209096480 cubic inches would be around 4310 feet tall.
Recreational maths with 138346209096480
- 138346209096480 backwards is 084690902643831
- 138346209096480 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138346209096480's digits is 63
- More coming soon!
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The information we have on file for 138346209096480 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 138346209096480, math, Factors of 138346209096480, curriculum, school, college, exams, university, Prime factorization of 138346209096480, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred forty-six billion, two hundred nine million, ninety-six thousand, four hundred eighty.