1337989201920

Names of 1337989201920

• Cardinal: 1337989201920 can be written as One trillion, three hundred thirty-seven billion, nine hundred eighty-nine million, two hundred one thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.33798920192 × 10¹²

Factors of 1337989201920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 261

Divisors of 1337989201920

• Number of divisors d(n): 1224
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 47 48 49 56 60 63 64 70 72 80 84 90 94 96 98 105 112 120 126 128 140 141 144 147 160 168 180 188 192 196 197 210 224 235 240 245 252 256 280 282 288 294 315 320 329 336 360 376 384 392 394 420 423 441 448 470 480 490 504 512 560 564 576 588 591 630 640 658 672 705 720 735 752 768 784 788 840 846 882 896 940 960 980 985 987 1008 1024 1120 1128 1152 1176 1182 1260 1280 1316 1344 1379 1410 1440 1470 1504 1536 1568 1576 1645 1680 1692 1764 1773 1792 1880 1920 1960 1970 1974 2016 2048 2115 2205 2240 2256 2303 2304 2352 2364 2520 2560 2632 2688 2758 2820 2880 2940 2955 2961 3008 3072 3136 3152 3290 3360 3384 3528 3546 3584 3760 3840 3920 3940 3948 4032 4096 4137 4230 4410 4480 4512 4606 4608 4704 4728 4935 5040 5120 5264 5376 5516 5640 5760 5880 5910 5922 6016 6144 6272 6304 6580 6720 6768 6895 6909 7056 7092 7168 7520 7680 7840 7880 7896 8064 8192 8274 8460 8820 8865 8960 9024 9212 9216 9259 9408 9456 9653 9870 10080 10240 10528 10752 11032 11280 11515 11520 11760 11820 11844 12032 12288 12411 12544 12608 13160 13440 13536 13790 13818 14112 14184 14336 14805 15040 15360 15680 15760 15792 16128 16384 16548 16920 17640 17730 17920 18048 18424 18432 18518 18816 18912 19306 19740 20160 20480 20685 20727 21056 21504 22064 22560 23030 23040 23520 23640 23688 24064 24576 24822 25088 25216 26320 26880 27072 27580 27636 27777 28224 28368 28672 28959 29610 30080 30720 31360 31520 31584 32256 32768 33096 33840 34545 35280 35460 35840 36096 36848 36864 37036 37632 37824 38612 39480 40320 40960 41370 41454 42112 43008 44128 45120 46060 46080 46295 47040 47280 47376 48128 48265 49152 49644 50176 50432 52640 53760 54144 55160 55272 55554 56448 56736 57344 57918 59220 60160 61440 62055 62720 63040 63168 64512 64813 65536 66192 67680 69090 70560 70920 71680 72192 73696 73728 74072 75264 75648 77224 78960 80640 81920 82740 82908 83331 84224 86016 86877 88256 90240 92120 92160 92590 94080 94560 94752 96256 96530 98304 99288 100352 100864 103635 105280 107520 108288 110320 110544 111108 112896 113472 114688 115836 118440 120320 122880 124110 125440 126080 126336 129024 129626 132384 135360 138180 138885 141120 141840 143360 144384 144795 147392 147456 148144 150528 151296 154448 157920 161280 163840 165480 165816 166662 168448 172032 173754 176512 180480 184240 184320 185180 188160 189120 189504 192512 193060 194439 196608 198576 200704 201728 207270 210560 215040 216576 220640 221088 222216 225792 226944 229376 231672 236880 240640 245760 248220 250880 252160 252672 258048 259252 264768 270720 276360 277770 282240 283680 286720 288768 289590 294784 294912 296288 301056 302592 308896 315840 322560 324065 327680 330960 331632 333324 336896 344064 347508 353024 360960 368480 368640 370360 376320 378240 379008 385024 386120 388878 397152 401408 403456 414540 416655 421120 430080 433152 434385 441280 442176 444432 451584 453691 453888 458752 463344 473760 481280 491520 496440 501760 504320 505344 516096 518504 529536 541440 552720 555540 564480 567360 573440 577536 579180 583317 589568 589824 592576 602112 605184 617792 631680 645120 648130 661920 663264 666648 673792 688128 695016 706048 721920 736960 737280 740720 752640 756480 758016 770048 772240 777756 794304 802816 806912 829080 833310 842240 860160 866304 868770 882560 884352 888864 903168 907382 907776 926688 947520 962560 972195 983040 992880 1003520 1008640 1010688 1032192 1037008 1059072 1082880 1105440 1111080 1128960 1134720 1146880 1155072 1158360 1166634 1179136 1185152 1204224 1210368 1235584 1263360 1290240 1296260 1323840 1326528 1333296 1347584 1361073 1376256 1390032 1412096 1443840 1473920 1474560 1481440 1505280 1512960 1516032 1540096 1544480 1555512 1588608 1605632 1613824 1658160 1666620 1684480 1720320 1732608 1737540 1765120 1768704 1777728 1806336 1814764 1815552 1853376 1895040 1925120 1944390 1985760 2007040 2017280 2021376 2064384 2074016 2118144 2165760 2210880 2222160 2257920 2268455 2269440 2293760 2310144 2316720 2333268 2358272 2370304 2408448 2420736 2471168 2526720 2580480 2592520 2647680 2653056 2666592 2695168 2722146 2780064 2824192 2887680 2916585 2947840 2949120 2962880 3010560 3025920 3032064 3080192 3088960 3111024 3177216 3211264 3227648 3316320 3333240 3368960 3440640 3465216 3475080 3530240 3537408 3555456 3612672 3629528 3631104 3706752 3790080 3850240 3888780 3971520 4014080 4034560 4042752 4083219 4128768 4148032 4236288 4331520 4421760 4444320 4515840 4536910 4538880 4620288 4633440 4666536 4716544 4740608 4816896 4841472 4942336 5053440 5160960 5185040 5295360 5306112 5333184 5390336 5444292 5560128 5648384 5775360 5833170 5895680 5925760 6021120 6051840 6064128 6177920 6222048 6354432 6455296 6632640 6666480 6737920 6805365 6881280 6930432 6950160 7060480 7074816 7110912 7225344 7259056 7262208 7413504 7580160 7700480 7777560 7943040 8028160 8069120 8085504 8166438 8296064 8472576 8663040 8843520 8888640 9031680 9073820 9077760 9240576 9266880 9333072 9433088 9481216 9633792 9682944 9884672 10106880 10321920 10370080 10590720 10612224 10666368 10780672 10888584 11120256 11296768 11550720 11666340 11791360 11851520 12042240 12103680 12128256 12355840 12444096 12708864 12910592 13265280 13332960 13475840 13610730 13860864 13900320 14120960 14149632 14221824 14450688 14518112 14524416 14827008 15160320 15400960 15555120 15886080 16056320 16138240 16171008 16332876 16592128 16945152 17326080 17687040 17777280 18063360 18147640 18155520 18533760 18666144 18866176 18962432 19365888 19769344 20213760 20416095 20643840 20740160 21181440 21224448 21332736 21561344 21777168 22240512 22593536 23101440 23332680 23582720 23703040 24084480 24207360 24256512 24711680 24888192 25417728 26530560 26665920 26951680 27221460 27721728 27800640 28241920 28299264 28443648 28901376 29036224 29048832 29654016 30320640 31110240 31772160 32276480 32342016 32665752 33184256 33890304 34652160 35374080 35554560 36126720 36295280 36311040 37067520 37332288 37732352 37924864 38731776 39538688 40427520 40832190 41480320 42362880 42448896 42665472 43554336 44481024 45187072 46202880 46665360 47165440 47406080 48168960 48414720 48513024 49423360 49776384 50835456 53061120 53331840 53903360 54442920 55601280 56483840 56598528 56887296 58072448 58097664 59308032 60641280 62220480 63544320 64552960 64684032 65331504 66368512 67780608 69304320 70748160 71109120 72253440 72590560 72622080 74135040 74664576 75464704 75849728 79077376 80855040 81664380 82960640 84725760 84897792 85330944 87108672 88962048 90374144 93330720 94330880 94812160 96829440 97026048 98846720 99552768 101670912 106122240 106663680 107806720 108885840 111202560 112967680 113197056 113774592 116144896 116195328 118616064 121282560 124440960 127088640 130663008 132737024 135561216 138608640 141496320 142218240 144506880 145181120 145244160 148270080 149329152 150929408 151699456 158154752 161710080 163328760 165921280 169451520 169795584 170661888 174217344 177924096 186661440 188661760 189624320 193658880 194052096 197693440 199105536 203341824 212244480 213327360 217771680 222405120 225935360 226394112 227549184 232289792 237232128 242565120 248881920 254177280 261326016 265474048 271122432 282992640 284436480 290362240 290488320 296540160 298658304 303398912 316309504 323420160 326657520 331842560 338903040 339591168 341323776 348434688 355848192 373322880 377323520 379248640 395386880 398211072 406683648 424488960 426654720 435543360 444810240 451870720 452788224 455098368 464579584 474464256 485130240 497763840 508354560 522652032 530948096 565985280 568872960 580724480 580976640 593080320 597316608 606797824 632619008 653315040 663685120 677806080 679182336 682647552 696869376 711696384 746645760 754647040 758497280 790773760 796422144 813367296 848977920 853309440 871086720 889620480 910196736 929159168 948928512 970260480 995527680 1016709120 1045304064 1061896192 1131970560 1137745920 1161448960 1186160640 1194633216 1306630080 1327370240 1355612160 1358364672 1365295104 1393738752 1423392768 1493291520 1516994560 1581547520 1592844288 1697955840 1706618880 1742173440 1779240960 1820393472 1858318336 1897857024 1991055360 2033418240 2090608128 2123792384 2263941120 2275491840 2322897920 2372321280 2389266432 2613260160 2654740480 2730590208 2787477504 2846785536 2986583040 3033989120 3163095040 3185688576 3395911680 3413237760 3484346880 3558481920 3716636672 3982110720 4066836480 4181216256 4247584768 4550983680 4645795840 4744642560 4778532864 5226520320 5309480960 5461180416 5574955008 5693571072 5973166080 6371377152 6791823360 6826475520 6968693760 7116963840 7433273344 7964221440 8362432512 9101967360 9291591680 9489285120 9557065728 10453040640 10618961920 11149910016 11946332160 12742754304 13652951040 13937387520 14233927680 14866546688 15928442880 16724865024 18583183360 19114131456 20906081280 21237923840 22299820032 23892664320 27305902080 27874775040 28467855360 29733093376 31856885760 33449730048 37166366720 38228262912 41812162560 44599640064 47785328640 55749550080 63713771520 66899460096 74332733440 83624325120 89199280128 95570657280 111499100160 133798920192 148665466880 167248650240 191141314560 222998200320 267597840384 334497300480 445996400640 668994600960 1337989201920
• Sum of all divisors σ(n): 5538376793664
• Sum of proper divisors (its aliquot sum) s(n): 4200387591744
• 1337989201920 is an abundant number, because the sum of its proper divisors (4200387591744) is greater than itself. Its abundance is 2862398389824

Bases of 1337989201920

• Binary: 10011011110000110010111110000000000000000₂
• Hexadecimal: 0x137865F0000
• Base-36: H2NW83K0

Squares and roots of 1337989201920

• 1337989201920 squared (1337989201920²) is 1790215104454518531686400
• 1337989201920 cubed (1337989201920³) is 2395288478874230687148936567717888000
• The square root of 1337989201920 is 1156714.8317195557
• The cube root of 1337989201920 is 11019.2203962525

Scales and comparisons

• 1,337,989,201,920 seconds is equal to 42,543 years, 47 weeks, 5 days, 3 hours, 12 minutes.
• To count from 1 to 1,337,989,201,920 would take you about one hundred six thousand, three hundred fifty-nine 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 1337989201920 cubic inches would be around 918.3 feet tall.

Recreational maths with 1337989201920

• 1337989201920 backwards is 0291029897331
• The number of decimal digits it has is: 13
• The sum of 1337989201920's digits is 54
• More coming soon!