2004468546080
2,004,468,546,080 is an even composite number composed of eight prime numbers multiplied together.
2004468546080 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 2004468546080:
25 × 5 × 7 × 11 × 13 × 31 × 487 × 829
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 13 × 31 × 487 × 829)See below for interesting mathematical facts about the number 2004468546080 from the Numbermatics database.
Names of 2004468546080
- Cardinal: 2004468546080 can be written as Two trillion, four billion, four hundred sixty-eight million, five hundred forty-six thousand and eighty.
Scientific notation
- Scientific notation: 2.00446854608 × 1012
Factors of 2004468546080
Divisors of 2004468546080
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 31 32 35 40 44 52 55 56 62 65 70 77 80 88 91 104 110 112 124 130 140 143 154 155 160 176 182 208 217 220 224 248 260 280 286 308 310 341 352 364 385 403 416 434 440 455 487 496 520 560 572 616 620 682 715 728 770 806 829 868 880 910 974 992 1001 1040 1085 1120 1144 1232 1240 1364 1430 1456 1540 1612 1658 1705 1736 1760 1820 1948 2002 2015 2080 2170 2288 2387 2435 2464 2480 2728 2821 2860 2912 3080 3224 3316 3409 3410 3472 3640 3896 4004 4030 4145 4340 4433 4576 4774 4870 4960 5005 5357 5456 5642 5720 5803 6160 6331 6448 6632 6818 6820 6944 7280 7792 8008 8060 8290 8680 8866 9119 9548 9740 10010 10714 10777 10912 11284 11440 11606 11935 12320 12662 12896 13264 13636 13640 14105 14560 15097 15584 16016 16120 16580 17045 17360 17732 18238 19096 19480 20020 21428 21554 22165 22568 22880 23212 23870 25324 25699 26528 26785 27272 27280 28210 29015 30194 31031 31655 32032 32240 33160 34090 34720 35464 36476 37499 38192 38960 40040 42856 43108 44317 44330 45136 45595 46424 47740 50648 51398 53570 53885 54544 54560 56420 58030 60388 62062 63310 63833 64480 66320 68180 69641 70928 72952 74998 75439 75485 76384 77920 80080 85712 86216 88634 88660 90272 91190 92848 95480 101296 102796 105679 107140 107770 109088 112840 116060 118547 120776 124124 126620 127666 128495 132640 136360 139282 141856 145904 149996 150878 150970 155155 160160 166067 171424 172432 177268 177320 179893 182380 185696 187495 190960 196261 202592 205592 211358 214280 215540 221585 225680 232120 237094 241552 248248 253240 255332 256990 272720 278564 282689 291808 299992 301756 301940 310310 319165 332134 334087 344864 348205 354536 354640 359786 364760 374990 377195 381920 392522 403723 411184 422716 428560 431080 443170 451360 464240 474188 483104 487487 496496 506480 510664 513980 528395 545440 557128 565378 592735 599984 603512 603880 620620 638330 664268 668174 696410 709072 709280 719572 729520 749980 754390 785044 807446 822368 829829 830335 845432 857120 862160 886340 899465 928480 948376 974974 981305 992992 1012960 1021328 1027960 1056790 1114256 1130756 1162469 1185470 1199968 1207024 1207760 1241240 1276660 1328536 1336348 1373827 1392820 1413445 1418144 1439144 1459040 1499960 1508780 1570088 1614892 1659658 1660670 1670435 1690864 1724320 1772680 1798930 1896752 1949948 1962610 1978823 2018615 2042656 2055920 2113580 2158871 2228512 2261512 2324938 2338609 2370940 2414048 2415520 2437435 2482480 2553320 2657072 2672696 2747654 2785640 2826061 2826890 2878288 2999920 3017560 3140176 3229784 3319316 3321340 3340870 3381728 3545360 3597860 3674957 3793504 3899896 3925220 3957646 4037230 4111840 4149145 4227160 4317742 4440953 4523024 4649876 4677218 4741880 4874870 4964960 5106640 5248399 5314144 5345392 5495308 5571280 5652122 5653780 5756576 5812345 5999840 6035120 6280352 6459568 6638632 6642680 6681740 6869135 7090720 7195720 7349914 7799792 7850440 7915292 8074460 8298290 8454320 8635484 8881906 9046048 9299752 9354436 9483760 9749740 9894115 10213280 10496798 10690784 10794355 10990616 11142560 11304244 11307560 11624690 11693045 12070240 12515413 12919136 13277264 13285360 13363480 13738270 14130305 14391440 14699828 15112097 15599584 15700880 15830584 16148920 16596580 16908640 17270968 17763812 18374785 18599504 18708872 18967520 19499480 19788230 20993596 21588710 21981232 22204765 22608488 22615120 23249380 23386090 25030826 25724699 26241995 26554528 26570720 26726960 27476540 28260610 28782880 29399656 30224194 31086671 31401760 31661168 32297840 33193160 34541936 35527624 36738793 36749570 37199008 37417744 38998960 39576460 41987192 43177420 43962464 44409530 45216976 45230240 46498760 46772180 50061652 51449398 52483990 53453920 54953080 56521220 57732389 58799312 60448388 62173342 62577065 63322336 64595680 66386320 69083872 71055248 73477586 73499140 74835488 75560485 77997920 79152920 83974384 86354840 87607891 88819060 90433952 92997520 93544360 100123304 102898796 104967980 109906160 113042440 115464778 117598624 120896776 124346684 125154130 128623495 132772640 137669543 142110496 146955172 146998280 151120970 155433355 158305840 162700369 167948768 172709680 175215782 177638120 183693965 185995040 187088720 200246608 205797592 209935960 219812320 226084880 230929556 241793552 248693368 250308260 257246990 275339086 288661945 293910344 293996560 302241940 310866710 316611680 325400738 345419360 350431564 355276240 367387930 374177440 400493216 404126723 411595184 419871920 438039455 452169760 461859112 483587104 497386736 500616520 514493980 550678172 577323890 587820688 587993120 604483880 621733420 650801476 688347715 700863128 710552480 734775860 808253446 813501845 823190368 839743840 876078910 923718224 963686801 994773472 1001233040 1028987960 1101356344 1138902583 1154647780 1175641376 1208967760 1243466840 1301602952 1376695430 1401726256 1469551720 1616506892 1627003690 1752157820 1789704059 1847436448 1927373602 2002466080 2020633615 2057975920 2202712688 2277805166 2309295560 2417935520 2486933680 2603205904 2753390860 2803452512 2939103440 3233013784 3254007380 3504315640 3579408118 3854747204 4041267230 4115951840 4405425376 4555610332 4618591120 4818434005 4973867360 5206411808 5506781720 5694512915 5878206880 6466027568 6508014760 7008631280 7158816236 7709494408 8082534460 8948520295 9111220664 9237182240 9636868010 11013563440 11389025830 12527928413 12932055136 13016029520 14017262560 14317632472 15418988816 16165068920 17897040590 18222441328 19273736020 22027126880 22778051660 25055856826 26032059040 28635264944 30837977632 32330137840 35794081180 36444882656 38547472040 45556103320 50111713652 57270529888 62639642065 64660275680 71588162360 77094944080 91112206640 100223427304 125279284130 143176324720 154189888160 182224413280 200446854608 250558568260 286352649440 400893709216 501117136520 1002234273040 2004468546080
- Sum of all divisors σ(n): 6584745000960
- Sum of proper divisors (its aliquot sum) s(n): 4580276454880
- 2004468546080 is an abundant number, because the sum of its proper divisors (4580276454880) is greater than itself. Its abundance is 2575807908800
Bases of 2004468546080
- Binary: 111010010101100111010001010111010001000002
- Hexadecimal: 0x1D2B3A2BA20
- Base-36: PKU8TGRK
Squares and roots of 2004468546080
- 2004468546080 squared (20044685460802) is 4017894152224069083366400
- 2004468546080 cubed (20044685460803) is 8053742449611913953916926119923712000
-
The
square root of 2004468546080 is 1415792.5505101375 -
The
cube root of 2004468546080 is 12608.5868780627
Scales and comparisons
How big is 2004468546080?- 2,004,468,546,080 seconds is equal to 63,735 years, 46 weeks, 5 days, 10 hours, 21 minutes, 20 seconds.
-
To count from 1 to 2,004,468,546,080 would take you about one hundred fifty-nine thousand, three hundred thirty-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 2004468546080 cubic inches would be around 1050.7 feet tall.
Recreational maths with 2004468546080
- 2004468546080 backwards is 0806458644002
- The number of decimal digits it has is: 13
- The sum of 2004468546080's digits is 47
- More coming soon!
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