138008406738540
138,008,406,738,540 is an even composite number composed of nine prime numbers multiplied together.
138008406738540 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138008406738540:
22 × 3 × 5 × 13 × 19 × 312 × 41 × 127 × 1861
(2 × 2 × 3 × 5 × 13 × 19 × 31 × 31 × 41 × 127 × 1861)See below for interesting mathematical facts about the number 138008406738540 from the Numbermatics database.
Names of 138008406738540
- Cardinal: 138008406738540 can be written as One hundred thirty-eight trillion, eight billion, four hundred six million, seven hundred thirty-eight thousand, five hundred forty.
Scientific notation
- Scientific notation: 1.3800840673854 × 1014
Factors of 138008406738540
Divisors of 138008406738540
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 10 12 13 15 19 20 26 30 31 38 39 41 52 57 60 62 65 76 78 82 93 95 114 123 124 127 130 155 156 164 186 190 195 205 228 246 247 254 260 285 310 372 380 381 390 403 410 465 492 494 508 533 570 589 615 620 635 741 762 779 780 806 820 930 961 988 1066 1140 1178 1209 1230 1235 1270 1271 1482 1524 1558 1599 1612 1651 1767 1860 1861 1905 1922 2015 2132 2337 2356 2413 2418 2460 2470 2540 2542 2665 2883 2945 2964 3116 3198 3302 3534 3705 3722 3810 3813 3844 3895 3937 4030 4674 4805 4826 4836 4940 4953 5084 5207 5330 5583 5766 5890 6045 6355 6396 6604 7068 7239 7410 7444 7620 7626 7657 7790 7874 7995 8060 8255 8835 9305 9348 9610 9652 9906 10127 10414 10660 11166 11532 11685 11780 11811 12065 12090 12493 12710 14415 14478 14820 15252 15314 15580 15621 15748 15990 16510 16523 17670 18259 18610 19065 19220 19685 19812 20254 20828 22332 22971 23370 23622 24130 24149 24180 24193 24765 24986 25420 26035 27915 28830 28956 30381 30628 31242 31369 31980 33020 33046 35340 35359 36195 36518 37220 37479 38130 38285 39370 39401 40508 45942 46740 47244 48260 48298 48386 49530 49569 49972 50635 51181 52070 54777 55830 57660 57691 59055 60762 62465 62484 62738 66092 67691 70718 72390 72447 72579 73036 74803 74958 76260 76301 76570 78105 78740 78802 82615 91295 91884 94107 96596 96772 98933 99060 99138 101270 102362 104140 106077 109554 111660 114855 115382 118110 118203 120745 120965 121524 122047 124930 125476 135382 141436 144780 144894 145158 149606 149916 151905 152602 153140 153543 156210 156845 157604 161417 165230 173073 176795 182590 187395 188214 197005 197866 198276 202540 203073 204724 212154 219108 224409 228903 229710 230764 236220 236347 236406 237367 241490 241930 244094 247845 249860 255905 270764 273885 288455 289788 290316 296799 299212 303810 305204 307086 312420 313690 313937 322834 330460 338455 346146 353590 362235 362895 365180 366141 374015 374790 376428 381505 394010 395732 406146 424308 448818 457806 459420 459667 470535 472694 472812 474734 482980 483860 484251 488188 494665 495690 511810 512213 530385 547770 576910 591015 593598 607620 610235 614172 627380 627874 645668 676910 692292 707180 709041 712101 724470 725790 732282 748030 748619 749580 749983 763010 767715 788020 807085 812292 865365 897636 915612 919334 941070 941811 945388 949468 968502 972439 989330 991380 991913 1015365 1023620 1024426 1060770 1095540 1096129 1122045 1144515 1153820 1181735 1182030 1186835 1187196 1220470 1255748 1286129 1353820 1379001 1418082 1424202 1448940 1449719 1451580 1464564 1483995 1496060 1497238 1499966 1526020 1535430 1536639 1569685 1586611 1614170 1730730 1788421 1830705 1838668 1882140 1883622 1937004 1944878 1978660 1983826 2030730 2048852 2098421 2121540 2192258 2244090 2245857 2249949 2289030 2298335 2318893 2363470 2364060 2365331 2373670 2421255 2440940 2561065 2572258 2758002 2836164 2848404 2899438 2917317 2967990 2975739 2994476 2999932 3066923 3070860 3072511 3073278 3139370 3173222 3228340 3288387 3461460 3545205 3560505 3576842 3661410 3743095 3749915 3767244 3858387 3889756 3967652 4061460 4196842 4349157 4384516 4488180 4490593 4491714 4499898 4578060 4596670 4637786 4709055 4726940 4730662 4747340 4759833 4842510 4862195 4959565 5003927 5122130 5144516 5365263 5480645 5516004 5798876 5834634 5935980 5951478 6133846 6145022 6146556 6278740 6295263 6346444 6430645 6576774 6895005 6956679 7090410 7095993 7121010 7153684 7248595 7322820 7326757 7486190 7499830 7683195 7716774 7933055 8393684 8698314 8942105 8981186 8983428 8999796 9193340 9200769 9217533 9275572 9418110 9461324 9519666 9685020 9690227 9724390 9732047 9919130 10007854 10244260 10492105 10730526 10961290 11229285 11249745 11594465 11669268 11826655 11902956 12267692 12290044 12590526 12861290 13153548 13471779 13790010 13913358 14180820 14191986 14242020 14249677 14497190 14586585 14653514 14878695 14972380 14999660 15011781 15334615 15362555 15366390 15433548 15866110 16441935 17396628 17884210 17962372 18401538 18435066 18836220 18846347 19039332 19291935 19380454 19448780 19464094 19838260 20015708 20984210 21461052 21745785 21922580 21980271 22452965 22458570 22499490 23188930 23249473 23653310 23799165 25019635 25181052 25722580 26826315 26943558 27580020 27826716 28383972 28499354 28994380 29070681 29173170 29196141 29307028 29757390 30023562 30145609 30669230 30725110 30732780 30749303 31476315 31732220 32883870 33979999 34783395 35479965 35768420 36633785 36803076 36870132 37692694 38583870 38760908 38928188 39869999 41968420 42749031 43491570 43960542 44905930 44917140 44941289 44998980 46003845 46087665 46377860 46498946 47306620 47598330 48451135 48660235 50039270 53652630 53887116 56539041 56998708 58141362 58346340 58377709 58392282 59514780 60047124 60291218 61338460 61450220 61498606 62952630 65051051 65767740 67358895 67959998 69566790 69748419 70959930 71248385 73267570 73325261 75058905 75385388 77167740 79739998 85498062 86983140 87921084 89811860 89882578 90436827 92007690 92175330 92247909 92997892 94231735 95074613 95196660 95247841 96902270 97320470 100078540 101939997 107305260 109901355 113078082 116247365 116282724 116755418 116784564 119609997 120582436 122997212 125905260 125972951 130102102 134717790 134823867 135919996 139133580 139208383 139496838 141919860 142496770 145353405 145980705 146535140 146650522 150117810 150728045 153746515 159479996 169899995 170996124 175133127 179765156 180873654 184015380 184114313 184350660 184495818 188463470 190149226 190495682 193804540 194640940 195153153 199349995 203879994 213745155 219802710 219975783 224706445 226156164 227129467 232494730 233510836 239219994 251945902 260204204 269435580 269647734 278416766 278993676 282695205 284993540 285223839 285743523 290706810 291888545 291961410 293301044 300235620 300397037 301456090 307493030 325255255 339799990 348742095 350266254 361747308 366626305 368228626 368991636 376926940 377918853 380298452 380991364 390306306 398699990 407759988 417625149 427490310 439605420 439951566 441739987 449412890 452184135 454258934 461239545 464989460 475373065 476239205 478439988 503891804 509699985 539295468 552342939 556833532 565390410 570447678 571487046 581413620 583777090 583922820 584236757 598049985 600794074 602912180 614986060 629864755 650510510 674119335 679599980 681388401 696041915 697484190 700532508 733252610 736457252 755837706 780612612 797399980 835250298 854980620 875665635 879903132 883479974 898825780 901191111 904368270 908517868 920571565 922479090 950746130 952478410 953228393 975765765 1019399970 1099878915 1104685878 1130780820 1135647335 1140895356 1142974092 1167554180 1168473514 1196099970 1201588148 1235969969 1259729510 1301021020 1325219961 1348238670 1362776802 1392083830 1393179959 1394968380 1426119195 1428717615 1466505220 1501985185 1511675412 1670500596 1751331270 1752710271 1766959948 1802382222 1808736540 1809708979 1841143130 1844958180 1889594265 1901492260 1904956820 1906456786 1951531530 2038799940 2088125745 2199757830 2208699935 2209371756 2271294670 2336947028 2392199940 2393486069 2471939938 2519459020 2650439922 2696477340 2725553604 2761714695 2784167660 2786359918 2852238390 2857435230 2859685179 2921183785 2952683071 3003970370 3406942005 3502662540 3505420542 3604764444 3619417958 3682286260 3707909907 3779188530 3812913572 3903063060 3905161481 4176251490 4179539877 4315459873 4399515660 4417399870 4505955555 4542589340 4766141965 4786972138 4943879876 5300879844 5429126937 5523429390 5572719836 5704476780 5707543703 5714870460 5719370358 5842367570 5905366142 6007940740 6179849845 6626099805 6813884010 6965899795 7010841084 7180458207 7238835916 7415819814 7558377060 7810322962 8352502980 8359079754 8630919746 8763551355 8834799740 8858049213 9011911110 9048544895 9312308147 9532283930 9573944276 10858253874 11046858780 11415087406 11438740716 11684735140 11715484443 11810732284 11967430345 12359699690 12946379619 13252199610 13627768020 13931799590 14298425895 14360916414 14763415355 14831639628 15620645924 16718159508 17122631109 17261839492 17527102710 17716098426 18023822220 18097089790 18111339467 18539549535 18624616294 19064567860 19525807405 20897699385 21577299365 21716507748 22830174812 23430968886 23934860690 24719399380 25892759238 26504399220 27145634685 27863599180 27936924441 28537718515 28596851790 28721832828 29526830710 34245262218 35054205420 35432196852 35902291035 36194179580 36222678934 37079099070 37249232588 39051614810 41795398770 43154598730 44290246065 46561540735 46861937772 47869721380 51785518476 54291269370 54334018401 55873848882 56100978349 57075437030 57193703580 58577422215 59053661420 64731898095 68490524436 71804582070 72445357868 74158198140 74198068139 78103229620 83590797540 85613155545 86309197460 88580492130 90556697335 93123081470 108582538740 108668036802 111747697764 112201956698 114150874060 117154844430 121060005911 129463796190 139684622205 143609164140 148396136278 168302935047 171226311090 176933854793 177160984260 181113394670 186246162940 217336073604 222594204417 224403913396 234309688860 242120011822 258927592380 271670092005 279369244410 280504891745 296792272556 336605870094 342452622180 353867709586 362226789340 363180017733 370990340695 445188408834 484240023644 530801564379 543340184010 558738488820 561009783490 605300029555 673211740188 707735419172 726360035466 741980681390 841514675235 884669273965 890376817668 1061603128758 1086680368020 1112971022085 1122019566980 1210600059110 1452720070932 1483961362780 1683029350470 1769338547930 1815900088665 2123206257516 2225942044170 2300140112309 2421200118220 2654007821895 3366058700940 3538677095860 3631800177330 4451884088340 4600280224618 5308015643790 6900420336927 7263600354660 9200560449236 10616031287580 11500700561545 13800840673854 23001401123090 27601681347708 34502101684635 46002802246180 69004203369270 138008406738540
- Sum of all divisors σ(n): 467579538800640
- Sum of proper divisors (its aliquot sum) s(n): 329571132062100
- 138008406738540 is an abundant number, because the sum of its proper divisors (329571132062100) is greater than itself. Its abundance is 191562725323560
Bases of 138008406738540
- Binary: 111110110000100100101100000111101000110011011002
- Hexadecimal: 0x7D84960F466C
- Base-36: 1CX46Q3MGC
Squares and roots of 138008406738540
- 138008406738540 squared (1380084067385402) is 19046320330510292879921331600
- 138008406738540 cubed (1380084067385403) is 2628552323045588103846164083050529839864000
-
The
square root of 138008406738540 is 11747697.9335757523 -
The
cube root of 138008406738540 is 51677.5418519937
Scales and comparisons
How big is 138008406738540?- 138,008,406,738,540 seconds is equal to 4,388,240 years, 23 weeks, 1 day, 10 hours, 29 minutes.
-
To count from 1 to 138,008,406,738,540 would take you about ten million, nine hundred seventy thousand, six hundred one 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 138008406738540 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138008406738540
- 138008406738540 backwards is 045837604800831
- 138008406738540 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138008406738540's digits is 57
- More coming soon!
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The information we have on file for 138008406738540 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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