1680331516416
1,680,331,516,416 is an even composite number composed of five prime numbers multiplied together.
1680331516416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 1680331516416:
29 × 38 × 7 × 19 × 3761
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 19 × 3761)See below for interesting mathematical facts about the number 1680331516416 from the Numbermatics database.
Names of 1680331516416
- Cardinal: 1680331516416 can be written as One trillion, six hundred eighty billion, three hundred thirty-one million, five hundred sixteen thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.680331516416 × 1012
Factors of 1680331516416
Divisors of 1680331516416
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 76 81 84 96 108 112 114 126 128 133 144 152 162 168 171 189 192 216 224 228 243 252 256 266 288 304 324 336 342 378 384 399 432 448 456 486 504 512 513 532 567 576 608 648 672 684 729 756 768 798 864 896 912 972 1008 1026 1064 1134 1152 1197 1216 1296 1344 1368 1458 1512 1536 1539 1596 1701 1728 1792 1824 1944 2016 2052 2128 2187 2268 2304 2394 2432 2592 2688 2736 2916 3024 3078 3192 3402 3456 3584 3591 3648 3761 3888 4032 4104 4256 4374 4536 4608 4617 4788 4864 5103 5184 5376 5472 5832 6048 6156 6384 6561 6804 6912 7182 7296 7522 7776 8064 8208 8512 8748 9072 9234 9576 9728 10206 10368 10752 10773 10944 11283 11664 12096 12312 12768 13122 13608 13824 13851 14364 14592 15044 15309 15552 16128 16416 17024 17496 18144 18468 19152 20412 20736 21546 21888 22566 23328 24192 24624 25536 26244 26327 27216 27702 28728 29184 30088 30618 31104 32256 32319 32832 33849 34048 34992 36288 36936 38304 40824 41472 41553 43092 43776 45132 45927 46656 48384 49248 51072 52488 52654 54432 55404 57456 60176 61236 62208 64638 65664 67698 68096 69984 71459 72576 73872 76608 78981 81648 83106 86184 87552 90264 91854 93312 96768 96957 98496 101547 102144 104976 105308 108864 110808 114912 120352 122472 124416 124659 129276 131328 135396 139968 142918 145152 147744 153216 157962 163296 166212 172368 180528 183708 186624 193914 196992 203094 204288 209952 210616 214377 217728 221616 229824 236943 240704 244944 249318 258552 262656 270792 279936 285836 290304 290871 295488 304641 306432 315924 326592 332424 344736 361056 367416 373248 387828 393984 406188 419904 421232 428754 435456 443232 459648 473886 481408 489888 498636 500213 517104 541584 559872 571672 581742 590976 609282 612864 631848 643131 653184 664848 689472 710829 722112 734832 775656 787968 812376 839808 842464 857508 870912 872613 886464 913923 919296 947772 962816 979776 997272 1000426 1034208 1083168 1119744 1143344 1163484 1181952 1218564 1263696 1286262 1306368 1329696 1378944 1421658 1444224 1469664 1500639 1551312 1624752 1679616 1684928 1715016 1745226 1772928 1827846 1838592 1895544 1925632 1929393 1959552 1994544 2000852 2068416 2132487 2166336 2286688 2326968 2363904 2437128 2527392 2572524 2612736 2659392 2741769 2757888 2843316 2888448 2939328 3001278 3102624 3249504 3359232 3369856 3430032 3490452 3545856 3655692 3791088 3858786 3919104 3989088 4001704 4136832 4264974 4332672 4501917 4573376 4653936 4874256 5054784 5145048 5318784 5483538 5515776 5686632 5776896 5788179 5878656 6002556 6205248 6397461 6499008 6739712 6860064 6980904 7091712 7311384 7582176 7717572 7838208 7978176 8003408 8225307 8273664 8529948 8665344 9003834 9146752 9307872 9748512 10109568 10290096 10637568 10967076 11373264 11576358 11757312 12005112 12410496 12794922 12998016 13479424 13505751 13720128 13961808 14622768 15164352 15435144 15956352 16006816 16450614 16547328 17059896 17330688 17364537 18007668 18293504 18615744 19192383 19497024 20219136 20580192 21275136 21934152 22746528 23152716 23514624 24010224 24675921 24820992 25589844 25996032 27011502 27440256 27923616 29245536 30328704 30870288 31912704 32013632 32901228 34119792 34729074 36015336 36587008 37231488 38384766 38994048 40438272 40517253 41160384 43868304 45493056 46305432 48020448 49351842 49641984 51179688 51992064 52093611 54023004 54880512 55847232 57577149 58491072 60657408 61740576 63825408 64027264 65802456 68239584 69458148 72030672 74462976 76769532 77988096 81034506 82320768 87736608 90986112 92610864 96040896 98703684 102359376 104187222 108046008 109761024 111694464 115154298 116982144 121314816 121551759 123481152 128054528 131604912 136479168 138916296 144061344 148925952 153539064 155976192 156280833 162069012 164641536 172731447 175473216 181972224 185221728 192081792 197407368 204718752 208374444 216092016 223388928 230308596 233964288 243103518 246962304 256109056 263209824 272958336 277832592 288122688 307078128 312561666 324138024 329283072 345462894 350946432 363944448 364655277 370443456 384163584 394814736 409437504 416748888 432184032 446777856 460617192 467928576 468842499 486207036 493924608 526419648 545916672 555665184 576245376 614156256 625123332 648276048 690925788 701892864 729310554 740886912 768327168 789629472 818875008 833497776 864368064 921234384 937684998 972414072 987849216 1052839296 1091833344 1093965831 1111330368 1152490752 1228312512 1250246664 1296552096 1381851576 1403785728 1458621108 1481773824 1579258944 1637750016 1666995552 1728736128 1842468768 1875369996 1944828144 2105678592 2187931662 2222660736 2304981504 2456625024 2500493328 2593104192 2763703152 2917242216 2963547648 3158517888 3275500032 3281897493 3333991104 3457472256 3684937536 3750739992 3889656288 4211357184 4375863324 4445321472 4913250048 5000986656 5186208384 5527406304 5834484432 6317035776 6563794986 6667982208 6914944512 7369875072 7501479984 7779312576 8751726648 8890642944 9826500096 10001973312 10372416768 11054812608 11668968864 12634071552 13127589972 13335964416 14739750144 15002959968 15558625152 17503453296 20003946624 20744833536 22109625216 23337937728 26255179944 26671928832 29479500288 30005919936 31117250304 35006906592 40007893248 44219250432 46675875456 52510359888 60011839872 62234500608 70013813184 80015786496 88438500864 93351750912 105020719776 120023679744 140027626368 186703501824 210041439552 240047359488 280055252736 420082879104 560110505472 840165758208 1680331516416
- Sum of all divisors σ(n): 6059735098560
- Sum of proper divisors (its aliquot sum) s(n): 4379403582144
- 1680331516416 is an abundant number, because the sum of its proper divisors (4379403582144) is greater than itself. Its abundance is 2699072065728
Bases of 1680331516416
- Binary: 110000111001110111001000000101010000000002
- Hexadecimal: 0x1873B902A00
- Base-36: LFXM0000
Squares and roots of 1680331516416
- 1680331516416 squared (16803315164162) is 2823514005060894077485056
- 1680331516416 cubed (16803315164163) is 4744439569745785643641217552058679296
-
The
square root of 1680331516416 is 1296276.0186071483 -
The
cube root of 1680331516416 is 11888.6258015987
Scales and comparisons
How big is 1680331516416?- 1,680,331,516,416 seconds is equal to 53,429 years, 17 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 1,680,331,516,416 would take you about one hundred thirty-three thousand, five hundred seventy-three 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 1680331516416 cubic inches would be around 990.7 feet tall.
Recreational maths with 1680331516416
- 1680331516416 backwards is 6146151330861
- The number of decimal digits it has is: 13
- The sum of 1680331516416's digits is 45
- More coming soon!
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The information we have on file for 1680331516416 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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