138438508104400
138,438,508,104,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138438508104400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
138438508104400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138438508104400:
24 × 52 × 73 × 173 × 593
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 17 × 17 × 17 × 59 × 59 × 59)See below for interesting mathematical facts about the number 138438508104400 from the Numbermatics database.
Names of 138438508104400
- Cardinal: 138438508104400 can be written as One hundred thirty-eight trillion, four hundred thirty-eight billion, five hundred eight million, one hundred four thousand, four hundred.
Scientific notation
- Scientific notation: 1.384385081044 × 1014
Factors of 138438508104400
Divisors of 138438508104400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 49 50 56 59 68 70 80 85 98 100 112 118 119 136 140 170 175 196 200 236 238 245 272 280 289 295 340 343 350 392 400 413 425 472 476 490 560 578 590 595 680 686 700 784 826 833 850 944 952 980 1003 1156 1180 1190 1225 1360 1372 1400 1445 1475 1652 1666 1700 1715 1904 1960 2006 2023 2065 2312 2360 2380 2450 2744 2800 2890 2891 2950 2975 3304 3332 3400 3430 3481 3920 4012 4046 4130 4165 4624 4720 4760 4900 4913 5015 5488 5780 5782 5831 5900 5950 6608 6664 6800 6860 6962 7021 7225 8024 8092 8260 8330 8575 9520 9800 9826 10030 10115 10325 11560 11564 11662 11800 11900 13328 13720 13924 14042 14161 14450 14455 16048 16184 16520 16660 17051 17150 17405 19600 19652 20060 20230 20237 20650 20825 23120 23128 23324 23600 23800 24367 24565 25075 27440 27848 28084 28322 28900 28910 29155 32368 33040 33320 34102 34300 34391 34810 35105 39304 40120 40460 40474 41300 41650 46256 46648 47600 48734 49130 49147 50150 50575 55696 56168 56644 57800 57820 58310 59177 66640 68204 68600 68782 69620 70210 70805 72275 78608 80240 80920 80948 82600 83300 85255 87025 93296 97468 98260 98294 99127 100300 101150 101185 112336 113288 115600 115640 116620 118354 119357 121835 122825 136408 137200 137564 139240 140420 141610 144550 145775 161840 161896 165200 166600 170510 170569 171955 174050 175525 194936 196520 196588 198254 200600 202300 202370 205379 226576 231280 233240 236708 238714 240737 243670 245650 245735 272816 275128 278480 280840 283220 289100 289867 291550 295885 323792 333200 341020 341138 343910 344029 348100 351050 354025 389872 393040 393176 396508 401200 404600 404740 410758 414239 426275 466480 473416 477428 481474 487340 491300 491470 495635 505925 550256 561680 566440 578200 579734 583100 591770 596785 609175 682040 682276 687820 688058 696200 702100 708050 786352 793016 809200 809480 821516 828478 835499 852550 852845 859775 946832 954856 962948 974680 982600 982940 991270 1006009 1011850 1026895 1132880 1156400 1159468 1166200 1183540 1193570 1193983 1203685 1218350 1228675 1364080 1364552 1375640 1376116 1392400 1404200 1416100 1437653 1449335 1479425 1586032 1618960 1643032 1656956 1670998 1685159 1705100 1705690 1719550 1720145 1909712 1925896 1949360 1965200 1965880 1982540 2012018 2023700 2029069 2053790 2071195 2318936 2332400 2367080 2387140 2387966 2407370 2436700 2457350 2478175 2729104 2751280 2752232 2808400 2832200 2875306 2898670 2899673 2958850 2983925 3286064 3313912 3341996 3370318 3410200 3411380 3439100 3440290 3491443 3851792 3931760 3965080 4024036 4047400 4058138 4107580 4142390 4177495 4264225 4637872 4734160 4774280 4775932 4814740 4873400 4914700 4956350 5030045 5134475 5504464 5664400 5750612 5797340 5799346 5848493 5917700 5967850 5969915 6018425 6627824 6683992 6740636 6820400 6822760 6878200 6880580 6982886 7042063 7188265 7246675 7930160 8048072 8094800 8116276 8215160 8284780 8354990 8425795 8528450 8600725 9548560 9551864 9629480 9746800 9829400 9912700 10060090 10063571 10145345 10268950 10355975 11501224 11594680 11598692 11696986 11835400 11935700 11939830 12036850 13367984 13481272 13645520 13756400 13761160 13965772 14084126 14203483 14376530 14493350 14498365 16096144 16232552 16430320 16569560 16709980 16851590 17056900 17102153 17201450 17457215 19103728 19258960 19658800 19825400 20120180 20127142 20290690 20297711 20537900 20711950 20887475 23002448 23189360 23197384 23393972 23670800 23871400 23879660 24073700 24440101 25150225 26962544 27522320 27931544 28168252 28406966 28753060 28986700 28996730 29242465 29849575 32465104 33139120 33419960 33703180 34113800 34204306 34402900 34914430 35210315 35941325 39650800 40240360 40254284 40581380 40595422 41075800 41423900 41774950 42128975 46394768 46787944 47742800 47759320 48147400 48880202 49294441 50300450 50317855 50726725 55863088 56336504 56813932 57506120 57973400 57993460 58484930 59354531 59699150 66839920 67406360 68227600 68408612 68805800 69828860 70420630 70444997 71017415 71882650 72491825 80480720 80508568 81162760 81190844 82151600 82847800 83549900 84257950 85510765 87286075 93575888 95518640 96294800 97760404 98588882 99424381 100600900 100635710 101453450 101488555 112673008 113627864 115012240 115946800 115986920 116969860 118709062 119398300 119715071 122200505 134812720 136817224 137611600 139657720 140841260 140889994 142034830 143765300 144983650 146212325 161017136 162325520 162381688 165695600 167099800 168515900 171021530 171080707 174572150 176051575 195520808 197177764 198848762 201201800 201271420 202906900 202977110 227255728 231973840 233939720 237418124 238796600 239430142 244401010 246472205 251589275 273634448 279315440 281682520 281779988 284069660 287530600 289967300 292424650 296772655 324763376 334199600 337031800 342043060 342161414 345061087 349144300 352103150 352224985 355087075 391041616 394355528 397697524 402403600 402542840 405813800 405954220 415481717 427553825 467879440 474836248 477593200 478860284 488802020 492944410 497121905 503178550 507442775 563365040 563559976 568139320 575061200 579934600 584849300 593545310 598575355 611002525 674063600 684086120 684322828 690122174 698288600 704206300 704449970 710174150 788711056 795395048 805085680 811627600 811908440 830963434 838005497 855107650 855403535 949672496 957720568 977604040 985888820 994243810 1006357100 1009027027 1014885550 1127119952 1136278640 1159869200 1169698600 1187090620 1197150710 1197564949 1222005050 1232361025 1368172240 1368645656 1380244348 1396577200 1408412600 1408899940 1420348300 1483863275 1590790096 1623816880 1661926868 1676010994 1710215300 1710807070 1725305435 1761124925 1915441136 1955208080 1971777640 1988487620 2012714200 2018054054 2029771100 2077408585 2339397200 2374181240 2394301420 2395129898 2444010100 2464722050 2485609525 2737291312 2760488696 2816825200 2817799880 2840696600 2908372019 2967726550 2992876775 3323853736 3352021988 3420430600 3421614140 3450610870 3522249850 3943555280 3976975240 4025428400 4036108108 4059542200 4154817170 4190027485 4277017675 4748362480 4788602840 4790259796 4888020200 4929444100 4971219050 5045135135 5520977392 5635599760 5681393200 5816744038 5866038479 5935453100 5985753550 5987824745 6647707472 6704043976 6840861200 6843228280 6901221740 7044499700 7063189189 7953950480 8072216216 8119084400 8309634340 8380054970 8554035350 8626527175 9577205680 9580519592 9776040400 9858888200 9942438100 10090270270 10387042925 11633488076 11732076958 11870906200 11971507100 11975649490 13408087952 13686456560 13802443480 14088999400 14126378378 14541860095 16144432432 16619268680 16760109940 17108070700 17253054350 19161039184 19717776400 19884876200 20180540540 20358604133 20774085850 20950137425 23266976152 23464153916 23741812400 23943014200 23951298980 25225675675 27604886960 28177998800 28252756756 29083720190 29330192395 29939123725 33238537360 33520219880 34216141400 34506108700 35315945945 39769752400 40361081080 40717208266 41548171700 41900274850 46533952304 46928307832 47886028400 47902597960 49442324323 50451351350 56505513512 58167440380 58660384790 59878247450 67040439760 68432282800 69012217400 70631891890 72709300475 80722162160 81434416532 83096343400 83800549700 93856615664 95805195920 98884648646 100902702700 101793020665 113011027024 116334880760 117320769580 119756494900 138024434800 141263783780 145418600950 146650961975 162868833064 166192686800 167601099400 176579729725 197769297292 201805405400 203586041330 232669761520 234641539160 239512989800 247211621615 282527567560 290837201900 293301923950 325737666128 335202198800 346096270261 353159459450 395538594584 403610810800 407172082660 469283078320 479025979600 494423243230 508965103325 565055135120 581674403800 586603847900 692192540522 706318918900 791077189168 814344165320 988846486460 1017930206650 1163348807600 1173207695800 1236058108075 1384385081044 1412637837800 1628688330640 1730481351305 1977692972920 2035860413300 2346415391600 2472116216150 2768770162088 2825275675600 3460962702610 3955385945840 4071720826600 4944232432300 5537540324176 6921925405220 8143441653200 8652406756525 9888464864600 13843850810440 17304813513050 19776929729200 27687701620880 34609627026100 69219254052200 138438508104400
- Sum of all divisors σ(n): 419212186560000
- Sum of proper divisors (its aliquot sum) s(n): 280773678455600
- 138438508104400 is an abundant number, because the sum of its proper divisors (280773678455600) is greater than itself. Its abundance is 142335170351200
Bases of 138438508104400
- Binary: 111110111101000101110100001100101001010110100002
- Hexadecimal: 0x7DE8BA194AD0
- Base-36: 1D2LRTCKB4
Squares and roots of 138438508104400
- 138438508104400 squared (1384385081044002) is 19165220526172024481299360000
- 138438508104400 cubed (1384385081044003) is 2653204537135079043462916655602533184000000
-
The
square root of 138438508104400 is 11765989.4655910685 -
The
cube root of 138438508104400 is 51731.1703039083
Scales and comparisons
How big is 138438508104400?- 138,438,508,104,400 seconds is equal to 4,401,916 years, 17 weeks, 4 days, 12 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,438,508,104,400 would take you about eleven million, four thousand, seven hundred ninety 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 138438508104400 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138438508104400
- 138438508104400 backwards is 004401805834831
- 138438508104400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138438508104400's digits is 49
- More coming soon!
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The information we have on file for 138438508104400 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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