138444878484480

Names of 138444878484480

• Cardinal: 138444878484480 can be written as One hundred thirty-eight trillion, four hundred forty-four billion, eight hundred seventy-eight million, four hundred eighty-four thousand, four hundred eighty.

Scientific notation

• Scientific notation: 1.3844487848448 × 10¹⁴

Factors of 138444878484480

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2913

Divisors of 138444878484480

• Number of divisors d(n): 1408
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 32 34 40 41 48 51 60 62 64 68 80 82 85 93 96 102 120 123 124 128 136 155 157 160 164 170 186 192 204 205 240 246 248 255 256 272 310 314 320 328 340 372 384 408 410 465 471 480 492 496 510 512 527 544 615 620 628 640 656 680 697 744 768 785 816 820 930 942 960 984 992 1020 1024 1054 1088 1230 1240 1256 1271 1280 1312 1360 1394 1488 1536 1570 1581 1632 1640 1860 1884 1920 1968 1984 2040 2091 2108 2176 2355 2460 2480 2512 2542 2560 2624 2635 2657 2669 2720 2788 2976 3072 3140 3162 3264 3280 3485 3720 3768 3813 3840 3936 3968 4080 4182 4216 4352 4710 4867 4920 4960 5024 5084 5120 5248 5270 5314 5338 5440 5576 5952 6280 6324 6355 6437 6528 6560 6970 7440 7536 7626 7680 7872 7905 7936 7971 8007 8160 8364 8432 8704 9420 9734 9840 9920 10048 10168 10455 10496 10540 10628 10676 10880 11152 11904 12560 12648 12710 12874 13056 13120 13285 13345 13940 14601 14880 15072 15252 15360 15744 15810 15872 15942 16014 16320 16728 16864 17408 18840 19065 19311 19468 19680 19840 20096 20336 20910 20992 21080 21256 21352 21607 21760 22304 23808 24335 25120 25296 25420 25748 26112 26240 26570 26690 27880 29202 29760 30144 30504 31488 31620 31744 31884 32028 32185 32640 33456 33728 37680 38130 38622 38936 39360 39680 39855 40035 40192 40672 41820 41984 42160 42512 42704 43214 43520 44608 45169 47616 48670 50240 50592 50840 51496 52224 52480 53140 53380 55760 58404 59520 60288 61008 62976 63240 63768 64056 64370 64821 65280 66912 67456 73005 75360 76260 77244 77872 78720 79360 79710 80070 80384 81344 82367 82739 83640 84320 85024 85408 86428 87040 89216 90338 95232 96555 97340 100480 101184 101680 102992 104960 106280 106760 108035 108937 109429 111520 116808 119040 120576 122016 125952 126480 127536 128112 128740 129642 130560 133824 134912 135507 146010 150720 152520 154488 155744 157440 158720 159420 160140 160768 162688 164734 165478 167280 168640 170048 170816 172856 178432 180676 193110 194680 199547 200960 202368 203360 205984 209920 212560 213520 216070 217874 218858 223040 225845 233616 238080 241152 244032 247101 248217 252960 255072 256224 257480 259284 261120 267648 269824 271014 292020 301440 305040 308976 311488 314880 318840 320280 324105 325376 326811 328287 329468 330956 334560 337280 340096 341632 345712 356864 361352 386220 389360 399094 401920 404736 406720 411835 411968 413695 417149 425120 427040 432140 435748 437716 446080 451690 467232 476160 482304 488064 494202 496434 505920 510144 512448 514960 518568 535296 539648 542028 544685 547145 584040 598641 602880 610080 617952 622976 629760 637680 640560 648210 650752 653622 656574 658936 661912 669120 674560 677535 680192 683264 691424 713728 722704 772440 778720 798188 803840 809472 813440 823670 823936 827390 834298 850240 854080 864280 871496 875432 892160 903380 934464 976128 988404 992868 997735 1011840 1020288 1024896 1029920 1037136 1070592 1084056 1089370 1094290 1168080 1197282 1205760 1220160 1235505 1235904 1241085 1245952 1251447 1275360 1281120 1296420 1301504 1307244 1313148 1317872 1323824 1338240 1349120 1355070 1360384 1366528 1382848 1400239 1445408 1544880 1557440 1596376 1618944 1626880 1634055 1641435 1647340 1647872 1654780 1668596 1700480 1708160 1728560 1742992 1750864 1784320 1806760 1851929 1868928 1952256 1976808 1985736 1995470 2023680 2040576 2049792 2059840 2074272 2085745 2141184 2168112 2178740 2188580 2336160 2394564 2411520 2440320 2471010 2471808 2482170 2491904 2502894 2550720 2562240 2592840 2614488 2626296 2635744 2647648 2676480 2698240 2710140 2720768 2733056 2765696 2800478 2890816 2993205 3089760 3114880 3192752 3253760 3268110 3282870 3294680 3295744 3309560 3337192 3377047 3392299 3400960 3416320 3457120 3485984 3501728 3568640 3613520 3703858 3737856 3904512 3953616 3971472 3990940 4047360 4081152 4099584 4119680 4148544 4171490 4200717 4336224 4357480 4377160 4672320 4789128 4880640 4942020 4943616 4964340 4983808 5005788 5101440 5124480 5185680 5228976 5252592 5271488 5295296 5352960 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81049128 81415176 82970880 83663616 84014340 84041472 84343808 84724736 85098396 85515545 86724480 88892592 89615296 95782560 98872320 100115760 101311410 101768970 102168064 102618654 103452952 104579520 105051840 105429760 105905920 106372995 106790144 108065504 108553568 110627840 111115740 111551488 112019120 112055296 113464528 114819598 115632640 118523456 126515712 127087104 127710080 129316190 133487680 134422944 135081880 135691960 136824872 138759168 139439360 140069120 141830660 148154320 153252096 155179428 158144640 158858880 160185216 162098256 162830352 165941760 167327232 168028680 168082944 170196792 171031090 172229397 173448960 177785184 179230592 191565120 193974285 200231520 202622820 203537940 204336128 205237308 206905904 209159040 210103680 210859520 211811840 212745990 213580288 216131008 217107136 219837523 222231480 224038240 226929056 229639196 231265280 237046912 253031424 254174208 255420160 256546635 258632380 266975360 268845888 270163760 271383920 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1067901440 1075383552 1080655040 1085535680 1094598976 1099187615 1134645280 1148195980 1163011412 1185234560 1241435424 1265157120 1270871040 1281481728 1296786048 1302642816 1319025138 1344229440 1361574336 1368248720 1377835176 1422281472 1433844736 1453764265 1532520960 1551794280 1590589137 1601852160 1620982560 1628303520 1641898464 1655247232 1673272320 1680829440 1701967920 1722293970 1729048064 1736857088 1744517118 1758700184 1777851840 1792305920 1815432448 1837113568 1896375296 2052373080 2069059040 2120785516 2135802880 2150767104 2161310080 2171071360 2189197952 2198375230 2269290560 2296391960 2326022824 2370469120 2482870848 2593572096 2605285632 2638050276 2650981895 2688458880 2723148672 2736497440 2755670352 2844562944 2907528530 3065041920 3103588560 3181178274 3203704320 3241965120 3256607040 3283796928 3297562845 3310494464 3403935840 3444587940 3458096128 3473714176 3489034236 3517400368 3555703680 3584611840 3630864896 3674227136 4104746160 4138118080 4241571032 4301534208 4322620160 4342142720 4361292795 4378395904 4396750460 4538581120 4592783920 4652045648 4740938240 4965741696 5187144192 5210571264 5276100552 5301963790 5376917760 5446297344 5472994880 5511340704 5689125888 5815057060 6207177120 6362356548 6407408640 6483930240 6513214080 6567593856 6595125690 6620988928 6807871680 6889175880 6978068472 7034800736 7111407360 7169223680 7261729792 7348454272 7952945685 8209492320 8276236160 8483142064 8645240320 8684285440 8722585590 8756791808 8793500920 9013338443 9077162240 9185567840 9304091296 9481876480 9931483392 10374288384 10421142528 10552201104 10603927580 10753835520 10892594688 10945989760 11022681408 11630114120 12414354240 12724713096 12967860480 13026428160 13135187712 13190251380 13241977856 13615743360 13778351760 13956136944 14069601472 14222814720 14696908544 15905891370 16418984640 16552472320 16966284128 17290480640 17368570880 17445171180 17513583616 17587001840 18026676886 18154324480 18371135680 18608182592 19862966784 21104402208 21207855160 21507671040 21785189376 21891979520 22045362816 23260228240 24828708480 25449426192 25935720960 26052856320 26270375424 26380502760 27040015329 27231486720 27556703520 27912273888 28139202944 28445629440 29393817088 31811782740 32837969280 33104944640 33932568256 34890342360 35174003680 36053353772 36308648960 36742271360 37216365184 39725933568 42208804416 42415710320 43783959040 44090725632 45066692215 46520456480 49657416960 50898852384 51871441920 52105712640 52540750848 52761005520 54080030658 54462973440 55113407040 55824547776 56278405888 58787634176 63623565480 65675938560 66209889280 67865136512 69780684720 70348007360 72106707544 73484542720 74432730368 84417608832 84831420640 87567918080 88181451264 90133384430 93040912960 99314833920 101797704768 105522011040 108160061316 108925946880 110226814080 111649095552 112556811776 127247130960 131351877120 135200076645 135730273024 139561369440 140696014720 144213415088 146969085440 148865460736 168835217664 169662841280 176362902528 180266768860 186081825920 198629667840 203595409536 211044022080 216320122632 220453628160 223298191104 225113623552 254494261920 262703754240 270400153290 271460546048 279122738880 281392029440 288426830176 293938170880 297730921472 337670435328 339325682560 360533537720 372163651840 407190819072 422088044160 432640245264 440907256320 446596382208 508988523840 540800306580 542921092096 558245477760 562784058880 576853660352 675340870656 678651365120 721067075440 744327303680 814381638144 844176088320 865280490528 881814512640 893192764416 1017977047680 1081600613160 1116490955520 1125568117760 1153707320704 1357302730240 1442134150880 1488654607360 1628763276288 1688352176640 1730560981056 2035954095360 2163201226320 2232981911040 2307414641408 2714605460480 2884268301760 3376704353280 3461121962112 4071908190720 4326402452640 4465963822080 4614829282816 5768536603520 6922243924224 8143816381440 8652804905280 9229658565632 11537073207040 13844487848448 17305609810560 23074146414080 27688975696896 34611219621120 46148292828160 69222439242240 138444878484480
• Sum of all divisors σ(n): 499129135755264
• Sum of proper divisors (its aliquot sum) s(n): 360684257270784
• 138444878484480 is an abundant number, because the sum of its proper divisors (360684257270784) is greater than itself. Its abundance is 222239378786304

Bases of 138444878484480

• Binary: 11111011110101000110101110011011001010000000000₂
• Hexadecimal: 0x7DEA35CD9400
• Base-36: 1D2OP63X1C

Squares and roots of 138444878484480

• 138444878484480 squared (138444878484480²) is 19166984378582433221600870400
• 138444878484480 cubed (138444878484480³) is 2653570823206771372043296714423000891392000
• The square root of 138444878484480 is 11766260.1740944009
• The cube root of 138444878484480 is 51731.9637781293

Scales and comparisons

• 138,444,878,484,480 seconds is equal to 4,402,118 years, 46 weeks, 4 days, 18 hours, 8 minutes.
• To count from 1 to 138,444,878,484,480 would take you about eleven million, five thousand, two hundred ninety-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 138444878484480 cubic inches would be around 4311 feet tall.

Recreational maths with 138444878484480

• 138444878484480 backwards is 084484878444831
• The number of decimal digits it has is: 15
• The sum of 138444878484480's digits is 75
• More coming soon!