2040413984000

Names of 2040413984000

• Cardinal: 2040413984000 can be written as Two trillion, forty billion, four hundred thirteen million, nine hundred eighty-four thousand.

Scientific notation

• Scientific notation: 2.040413984 × 10¹²

Factors of 2040413984000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 807

Divisors of 2040413984000

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 43 50 56 64 68 70 80 85 86 100 112 119 125 128 136 140 160 170 172 175 200 215 224 238 250 256 272 280 289 301 320 340 344 350 400 425 430 448 476 500 544 560 578 595 602 640 680 688 700 731 733 800 850 860 875 896 952 1000 1075 1088 1120 1156 1190 1204 1280 1360 1376 1400 1445 1462 1466 1505 1600 1700 1720 1750 1792 1904 2000 2023 2125 2150 2176 2240 2312 2380 2408 2720 2752 2800 2890 2924 2932 2975 3010 3200 3400 3440 3500 3655 3665 3808 4000 4046 4250 4300 4352 4480 4624 4760 4816 5117 5131 5375 5440 5504 5600 5780 5848 5864 5950 6020 6400 6800 6880 7000 7225 7310 7330 7525 7616 8000 8092 8500 8600 8960 9248 9520 9632 10115 10234 10262 10750 10880 11008 11200 11560 11696 11728 11900 12040 12427 12461 13600 13760 14000 14450 14620 14660 14875 15050 15232 16000 16184 17000 17200 18275 18325 18496 19040 19264 20230 20468 20524 21500 21760 22400 23120 23392 23456 23800 24080 24854 24922 25585 25655 27200 27520 28000 28900 29240 29320 29750 30100 30464 31519 32000 32368 34000 34400 36125 36550 36650 36992 37625 38080 38528 40460 40936 41048 43000 44800 46240 46784 46912 47600 48160 49708 49844 50575 51170 51310 54400 55040 56000 57800 58480 58640 59500 60200 62135 62305 63038 64736 68000 68800 72250 73100 73300 73984 75250 76160 77056 80920 81872 82096 86000 86989 87227 91375 91625 92480 93568 93824 95200 96320 99416 99688 101150 102340 102620 108800 112000 115600 116960 117280 119000 120400 124270 124610 126076 127925 128275 129472 136000 137600 144500 146200 146600 150500 152320 157595 161840 163744 164192 172000 173978 174454 182750 183250 184960 187136 187648 190400 192640 198832 199376 202300 204680 205240 211837 220633 224000 231200 233920 234560 238000 240800 248540 249220 252152 252875 255850 256550 258944 272000 275200 289000 292400 293200 301000 310675 311525 315190 323680 327488 328384 344000 347956 348908 365500 366500 369920 380800 385280 397664 398752 404600 409360 410480 423674 434945 436135 441266 462400 467840 469120 476000 481600 497080 498440 504304 505750 511700 513100 517888 535823 544000 578000 584800 586400 602000 621350 623050 630380 639625 641375 647360 654976 656768 688000 695912 697816 731000 733000 761600 787975 795328 797504 809200 818720 820960 847348 869890 872270 882532 924800 935680 938240 952000 963200 994160 996880 1008608 1011500 1023400 1026200 1059185 1071646 1103165 1156000 1169600 1172800 1204000 1242700 1246100 1260760 1279250 1282750 1294720 1309952 1313536 1376000 1391824 1395632 1462000 1466000 1482859 1553375 1557625 1575950 1590656 1595008 1618400 1637440 1641920 1694696 1739780 1744540 1765064 1849600 1904000 1926400 1988320 1993760 2017216 2023000 2046800 2052400 2118370 2143292 2174725 2180675 2206330 2312000 2339200 2345600 2408000 2485400 2492200 2521520 2558500 2565500 2589440 2679115 2783648 2791264 2924000 2932000 2965718 3106750 3115250 3151900 3181312 3190016 3236800 3274880 3283840 3389392 3479560 3489080 3530128 3750761 3808000 3939875 3976640 3987520 4034432 4046000 4093600 4104800 4236740 4286584 4349450 4361350 4412660 4624000 4678400 4691200 4816000 4970800 4984400 5043040 5117000 5131000 5295925 5358230 5515825 5567296 5582528 5848000 5864000 5931436 6213500 6230500 6303800 6473600 6549760 6567680 6778784 6959120 6978160 7060256 7414295 7501522 7879750 7953280 7975040 8068864 8092000 8187200 8209600 8473480 8573168 8698900 8722700 8825320 9108991 9248000 9632000 9941600 9968800 10086080 10234000 10262000 10591850 10716460 10873625 10903375 11031650 11134592 11165056 11696000 11728000 11862872 12427000 12461000 12607600 12947200 13395575 13557568 13918240 13956320 14120512 14828590 15003044 15759500 15906560 15950080 16184000 16374400 16419200 16946960 17146336 17397800 17445400 17650640 18217982 18753805 19883200 19937600 20172160 20468000 20524000 21183700 21432920 21747250 21806750 22063300 22269184 22330112 23392000 23456000 23725744 24854000 24922000 25215200 26479625 26791150 27115136 27579125 27836480 27912640 28241024 29657180 30006088 31519000 32368000 32748800 32838400 33893920 34292672 34795600 34890800 35301280 36435964 37071475 37507610 39766400 39875200 40344320 40936000 41048000 42367400 42865840 43494500 43613500 44126600 45544955 47451488 49708000 49844000 50430400 52959250 53582300 54230272 55158250 55672960 55825280 56482048 59314360 60012176 63038000 63762937 64736000 66977875 67787840 68585344 69591200 69781600 70602560 72871928 74142950 75015220 79532800 79750400 81872000 82096000 84734800 85731680 86989000 87227000 88253200 91089910 93769025 94902976 99416000 99688000 100860800 105918500 107164600 110316500 111345920 111650560 118628720 120024352 126076000 127525874 133955750 135575680 137170688 139182400 139563200 141205120 145743856 148285900 150030440 163744000 164192000 169469600 171463360 173978000 174454000 176506400 182179820 185357375 187538050 189805952 198832000 199376000 201721600 211837000 214329200 220633000 227724775 237257440 240048704 252152000 255051748 267911500 271151360 278364800 279126400 282410240 291487712 296571800 300060880 318814685 338939200 342926720 347956000 348908000 353012800 364359640 370714750 375076100 379611904 397664000 398752000 423674000 428658400 441266000 455449550 468845125 474514880 480097408 504304000 510103496 535823000 556729600 558252800 582975424 593143600 600121760 637629370 677878400 685853440 695912000 697816000 706025600 728719280 741429500 750152200 847348000 857316800 882532000 910899100 937690250 949029760 960194816 1008608000 1020206992 1071646000 1138623875 1165950848 1186287200 1200243520 1275258740 1355756800 1391824000 1395632000 1412051200 1457438560 1482859000 1500304400 1594073425 1694696000 1714633600 1765064000 1821798200 1875380500 1898059520 2040413984 2143292000 2277247750 2331901696 2372574400 2400487040 2550517480 2783648000 2791264000 2914877120 2965718000 3000608800 3188146850 3389392000 3429267200 3530128000 3643596400 3750761000 4080827968 4286584000 4554495500 4745148800 4800974080 5101034960 5829754240 5931436000 6001217600 6376293700 6778784000 7060256000 7287192800 7501522000 7970367125 8161655936 8573168000 9108991000 9490297600 10202069920 11659508480 11862872000 12002435200 12752587400 14574385600 15003044000 15940734250 16323311872 17146336000 18217982000 20404139840 23725744000 24004870400 25505174800 29148771200 30006088000 31881468500 36435964000 40808279680 47451488000 51010349600 58297542400 60012176000 63762937000 72871928000 81616559360 102020699200 120024352000 127525874000 145743856000 204041398400 255051748000 291487712000 408082796800 510103496000 1020206992000 2040413984000
• Sum of all divisors σ(n): 6322991490816
• Sum of proper divisors (its aliquot sum) s(n): 4282577506816
• 2040413984000 is an abundant number, because the sum of its proper divisors (4282577506816) is greater than itself. Its abundance is 2242163522816

Bases of 2040413984000

• Binary: 11101101100010010001001101001010100000000₂
• Hexadecimal: 0x1DB12269500
• Base-36: Q1CPSY68

Squares and roots of 2040413984000

• 2040413984000 squared (2040413984000²) is 4163289226102752256000000
• 2040413984000 cubed (2040413984000³) is 8494833556376593524029947904000000000
• The square root of 2040413984000 is 1428430.6017444459
• The cube root of 2040413984000 is 12683.5092636523

Scales and comparisons

• 2,040,413,984,000 seconds is equal to 64,878 years, 44 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 2,040,413,984,000 would take you about one hundred sixty-two thousand, one 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 2040413984000 cubic inches would be around 1057 feet tall.

Recreational maths with 2040413984000

• 2040413984000 backwards is 0004893140402
• 2040413984000 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 2040413984000's digits is 35
• More coming soon!