138737300406480
138,737,300,406,480 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138737300406480 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 960 divisors.
138737300406480 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138737300406480:
24 × 32 × 5 × 41 × 127 × 149 × 307 × 809
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 41 × 127 × 149 × 307 × 809)See below for interesting mathematical facts about the number 138737300406480 from the Numbermatics database.
Names of 138737300406480
- Cardinal: 138737300406480 can be written as One hundred thirty-eight trillion, seven hundred thirty-seven billion, three hundred million, four hundred six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3873730040648 × 1014
Factors of 138737300406480
Divisors of 138737300406480
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 127 144 149 164 180 205 240 246 254 298 307 328 360 369 381 410 447 492 508 596 614 615 635 656 720 738 745 762 809 820 894 921 984 1016 1143 1192 1228 1230 1270 1341 1476 1490 1524 1535 1618 1640 1788 1842 1845 1905 1968 2032 2235 2286 2384 2427 2456 2460 2540 2682 2763 2952 2980 3048 3070 3236 3280 3576 3684 3690 3810 4045 4470 4572 4605 4854 4912 4920 5080 5207 5364 5526 5715 5904 5960 6096 6109 6140 6472 6705 7152 7281 7368 7380 7620 8090 8940 9144 9210 9708 9840 10160 10414 10728 11052 11430 11920 12135 12218 12280 12587 12944 13410 13815 14562 14736 14760 15240 15621 16180 17880 18288 18327 18420 18923 19416 20828 21456 22104 22860 24270 24436 24560 25174 26035 26820 27630 29124 29520 30480 30545 31242 32360 33169 35760 36405 36654 36840 37761 37846 38832 38989 41656 44208 45720 45743 46863 48540 48872 50348 52070 53640 54981 55260 56769 58248 61090 62484 62935 64720 66338 72810 73308 73680 75522 75692 77978 78105 83312 91440 91486 91635 93726 94615 97080 97744 99507 100696 102743 104140 107280 109962 110520 113283 113538 116496 116967 120541 122180 124968 125870 132676 137229 145620 146616 151044 151384 155956 156210 165845 170307 182972 183270 187452 188805 189230 194160 194945 199014 201392 205486 208280 219924 221040 226566 227076 228715 233934 234315 241082 244360 248363 249936 251740 265352 274458 274905 283845 291240 293232 298521 302088 302768 308229 311912 312420 331690 340614 350901 361623 365944 366540 374904 377610 378460 389890 398028 410972 411687 416560 439848 453132 454152 457430 467868 468630 482164 488720 496726 497535 503480 513715 530704 548916 549810 566415 567690 582480 584835 597042 602705 604176 616458 623824 624840 663380 681228 686145 701802 723246 731888 733080 745089 749808 755220 756920 775843 779780 796056 821944 823374 851535 879696 906264 908304 914860 924687 935736 937260 964328 993452 995070 1006960 1027430 1084869 1097832 1099620 1132830 1135380 1169670 1194084 1205410 1232916 1241815 1249680 1326760 1362456 1372290 1403604 1446492 1466160 1490178 1492605 1510440 1513840 1541145 1551686 1559560 1592112 1598549 1643888 1646748 1703070 1754505 1808115 1812528 1829720 1849374 1871472 1874520 1875463 1928656 1986904 1990140 2054860 2058435 2169738 2195664 2199240 2235267 2265660 2270760 2327529 2339340 2388168 2410820 2465832 2483630 2653520 2724912 2744580 2807208 2892984 2980356 2985210 3020880 3082290 3103372 3119120 3197098 3293496 3406140 3509010 3616230 3659440 3698748 3725445 3749040 3750926 3879215 3973808 3980280 4109720 4116870 4212463 4339476 4398480 4470534 4531320 4541520 4623435 4655058 4678680 4776336 4795647 4821640 4931664 4942181 4967260 5424345 5489160 5614416 5626389 5785968 5809361 5960712 5970420 6164580 6206744 6394196 6586992 6812280 6982587 7018020 7232460 7397496 7450890 7501852 7758430 7960560 7992745 8219440 8233740 8424926 8678952 8941068 9062640 9246870 9310116 9357360 9377315 9591294 9643280 9884362 9934520 10182883 10848690 10978320 11176335 11252778 11618722 11637645 11921424 11940840 12329160 12413488 12637389 12788392 13624560 13965174 14036040 14386941 14464920 14794992 14826543 14901780 15003704 15308707 15516860 15985490 16467480 16849852 16879167 17357904 17428083 17882136 18493740 18620232 18754630 19182588 19768724 19869040 20365766 21062315 21697380 22352670 22505556 23237444 23275290 23881680 23978235 24658320 24710905 25274778 25576784 27930348 28072080 28131945 28773882 28929840 29046805 29653086 29803560 30007408 30548649 30617414 31033720 31542101 31970980 32934960 33699704 33758334 34856166 34912935 35764272 36987480 37006087 37240464 37509260 37912167 38365176 39537448 40731532 42124630 43394760 44479629 44705340 45011112 45926121 46474888 46550580 47956470 49421810 50549556 50914415 52284249 55860696 56263890 57547764 58093610 59306172 59607120 61097298 61234828 62067440 63084202 63186945 63941960 67399408 67516668 69712332 69825870 71934705 73974960 74012174 74132715 75018520 75824334 76543535 76730352 79074896 81463064 84249260 84395835 86789520 87140415 88959258 89410680 90022224 91645947 91852242 92949776 93101160 94626303 95912940 98843620 101099112 101828830 104568498 111018261 111721392 112527780 115095528 116187220 118612344 122194596 122469656 126168404 126373890 127883920 135033336 137778363 139424664 139651740 143869410 148024348 148265430 150037040 151648668 152743245 153087070 157710505 162926128 168498520 168791670 174280830 177918516 178821360 183291894 183704484 185030435 186202320 189252606 189560835 191825880 197687240 202198224 203657660 209136996 222036522 222398145 225055560 229630605 230191056 232374440 237224688 238183801 244389192 244939312 252336808 252747780 261421245 270066672 275556726 278849328 279303480 283878909 287738820 296048696 296530860 303297336 305486490 306174140 315421010 333054783 336997040 337583340 348561660 355837032 366583788 367408968 370060870 378505212 379121670 383651760 395374480 407315320 418273992 444073044 444796290 450111120 458229735 459261210 464748880 473131515 476367602 488778384 504673616 505495560 522842490 551113452 555091305 558606960 567757818 575477640 592097392 593061720 606594672 610972980 612348280 627656987 630842020 666109566 675166680 688891815 697123320 711674064 714551403 733167576 734817936 740121740 757010424 758243340 814630640 836547984 888146088 889592580 916459470 918522420 946263030 952735204 1010991120 1045684980 1102226904 1110182610 1135515636 1150955280 1186123440 1190919005 1221945960 1224696560 1255313974 1261684040 1293226141 1332219132 1350333360 1377783630 1394246640 1419394545 1429102806 1466335152 1480243480 1514020848 1516486680 1517249567 1665273915 1776292176 1779185160 1832918940 1837044840 1882970961 1892526060 1905470408 2091369960 2143654209 2204453808 2220365220 2271031272 2381838010 2443891920 2510627948 2523368080 2586452282 2664438264 2755567260 2838789090 2858205612 2960486960 3032973360 3034499134 3138284935 3330547830 3558370320 3572757015 3665837880 3674089680 3765941922 3785052120 3810940816 3879678423 4182739920 4287308418 4440730440 4542062544 4551748701 4699773049 4763676020 5021255896 5172904564 5328876528 5511134520 5648912883 5677578180 5716411224 6068998268 6276569870 6466130705 6661095660 7145514030 7331675760 7531883844 7570104240 7586247835 7759356846 8574616836 8881460880 9103497402 9399546098 9414854805 9527352040 10042511792 10345809128 10718271045 11022269040 11297825766 11355156360 11432822448 11639035269 12137996536 12553139740 12932261410 13322191320 13655246103 14099319147 14291028060 15063767688 15172495670 15518713692 17149233672 18206994804 18799092196 18829709610 19054704080 19398392115 20691618256 21436542090 22595651532 22710312720 22758743505 23278070538 23498865245 24275993072 25106279480 25864522820 26644382640 27310492206 28198638294 28244564415 28582056120 30127535376 30344991340 31037427384 34298467344 36413989608 37598184392 37659419220 38796784230 42297957441 42873084180 45191303064 45517487010 46556141076 46997730490 50212558960 51729045640 54620984412 56397276588 56489128830 57164112240 58195176345 60689982680 62074854768 68276230515 70496595735 72827979216 75196368784 75318838440 77593568460 84595914882 85746168360 90382606128 91034974020 93112282152 93995460980 103458091280 109241968824 112794553176 112978257660 116390352690 121379965360 136552461030 140993191470 150637676880 155187136920 169191829764 171492336720 182069948040 186224564304 187990921960 192690695009 211489787205 218483937648 225589106352 225956515320 232780705380 273104922060 281986382940 310374273840 338383659528 364139896080 375981843920 385381390018 422979574410 451913030640 465561410760 546209844120 563972765880 578072085027 676767319056 770762780036 845959148820 931122821520 963453475045 1092419688240 1127945531760 1156144170054 1541525560072 1691918297640 1734216255081 1926906950090 2312288340108 2890360425135 3083051120144 3383836595280 3468432510162 3853813900180 4624576680216 5780720850270 6936865020324 7707627800360 8671081275405 9249153360432 11561441700540 13873730040648 15415255600720 17342162550810 23122883401080 27747460081296 34684325101620 46245766802160 69368650203240 138737300406480
- Sum of all divisors σ(n): 486454864896000
- Sum of proper divisors (its aliquot sum) s(n): 347717564489520
- 138737300406480 is an abundant number, because the sum of its proper divisors (347717564489520) is greater than itself. Its abundance is 208980264083040
Bases of 138737300406480
- Binary: 111111000101110010010111000001000000000110100002
- Hexadecimal: 0x7E2E4B8200D0
- Base-36: 1D6F1AKK40
Squares and roots of 138737300406480
- 138737300406480 squared (1387373004064802) is 19248038524077875573225990400
- 138737300406480 cubed (1387373004064803) is 2670420902950492146032501060926820577792000
-
The
square root of 138737300406480 is 11778679.9093310963 -
The
cube root of 138737300406480 is 51768.3607474769
Scales and comparisons
How big is 138737300406480?- 138,737,300,406,480 seconds is equal to 4,411,417 years, 3 days, 17 hours, 48 minutes.
-
To count from 1 to 138,737,300,406,480 would take you about eleven million, twenty-eight thousand, five hundred forty-two 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 138737300406480 cubic inches would be around 4314 feet tall.
Recreational maths with 138737300406480
- 138737300406480 backwards is 084604003737831
- The number of decimal digits it has is: 15
- The sum of 138737300406480's digits is 54
- More coming soon!
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The information we have on file for 138737300406480 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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