1328664401976800
1,328,664,401,976,800 is an even composite number composed of six prime numbers multiplied together.
1328664401976800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 1328664401976800:
25 × 52 × 7 × 194 × 97 × 1372
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 19 × 19 × 19 × 97 × 137 × 137)See below for interesting mathematical facts about the number 1328664401976800 from the Numbermatics database.
Names of 1328664401976800
- Cardinal: 1328664401976800 can be written as One quadrillion, three hundred twenty-eight trillion, six hundred sixty-four billion, four hundred one million, nine hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.3286644019768 × 1015
Factors of 1328664401976800
Divisors of 1328664401976800
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 70 76 80 95 97 100 112 133 137 140 152 160 175 190 194 200 224 266 274 280 304 350 361 380 388 400 475 485 532 548 560 608 665 679 685 700 722 760 776 800 950 959 970 1064 1096 1120 1330 1358 1370 1400 1444 1520 1552 1805 1843 1900 1918 1940 2128 2192 2425 2527 2603 2660 2716 2740 2800 2888 3040 3104 3325 3395 3425 3610 3686 3800 3836 3880 4256 4384 4795 4850 5054 5206 5320 5432 5480 5600 5776 6650 6790 6850 6859 7220 7372 7600 7672 7760 9025 9215 9590 9700 10108 10412 10640 10864 10960 11552 12635 12901 13015 13289 13300 13580 13700 13718 14440 14744 15200 15344 15520 16975 18050 18221 18430 18769 19180 19400 20216 20824 21280 21728 21920 23975 25270 25802 26030 26578 26600 27160 27400 27436 28880 29488 30688 33950 34295 35017 36100 36442 36860 37538 38360 38800 40432 41648 46075 47950 48013 49457 50540 51604 52060 53156 53200 54320 54800 54872 57760 58976 63175 64505 65075 66445 67900 68590 70034 72200 72884 73720 75076 76720 77600 80864 83296 91105 92150 93023 93845 95900 96026 98914 101080 103208 104120 106312 106400 108640 109600 109744 126350 129010 130150 130321 131383 132890 135800 137180 140068 144400 145768 147440 150152 153440 171475 175085 182210 184300 186046 187690 191800 192052 197828 202160 206416 208240 212624 219488 240065 245119 247285 252491 252700 258020 260300 260642 262766 265780 271600 274360 280136 288800 291536 294880 300304 322525 332225 342950 346199 350170 356611 364420 368600 372092 375380 383600 384104 395656 404320 412832 416480 425248 455525 465115 469225 480130 490238 494570 504982 505400 516040 520600 521284 525532 531560 543200 548720 560272 583072 600608 645050 651605 656915 664450 665323 685900 692398 700340 713222 728840 737200 744184 750760 767200 768208 791312 875425 911050 912247 930230 938450 939683 960260 980476 989140 1009964 1010800 1032080 1041200 1042568 1051064 1063120 1097440 1120544 1200325 1225595 1236425 1262455 1290100 1303210 1313830 1328900 1330646 1371800 1384796 1400680 1426444 1457680 1474400 1488368 1501520 1536416 1582624 1730995 1750850 1767437 1783055 1820593 1822100 1824494 1860460 1876900 1879366 1920520 1960952 1978280 2019928 2021600 2064160 2082400 2085136 2102128 2126240 2325575 2400650 2451190 2472850 2496277 2524910 2580200 2606420 2627660 2657800 2661292 2743600 2769592 2801360 2852888 2915360 2976736 3003040 3258025 3284575 3326615 3461990 3501700 3534874 3566110 3641186 3644200 3648988 3720920 3753800 3758732 3841040 3921904 3956560 4039856 4170272 4204256 4561235 4651150 4657261 4698415 4797329 4801300 4902380 4945700 4992554 5049820 5160400 5212840 5255320 5315600 5322584 5487200 5539184 5602720 5705776 6127975 6312275 6516050 6569150 6577781 6653230 6775609 6923980 7003400 7069748 7132220 7282372 7288400 7297976 7441840 7507600 7517464 7682080 7843808 7913120 8079712 8654975 8837185 8915275 9102965 9122470 9302300 9314522 9396830 9594658 9602600 9804760 9891400 9985108 10099640 10320800 10425680 10510640 10631200 10645168 11078368 11411552 12255950 12481385 12624550 12641137 12744151 13032100 13138300 13155562 13306460 13551218 13847960 14006800 14139496 14264440 14564744 14576800 14595952 14883680 15015200 15034928 16633075 17309950 17674370 17830550 17853977 18205930 18244940 18604600 18629044 18793660 19189316 19205200 19609520 19782800 19970216 20199280 20851360 21021280 21290336 22806175 23286305 23492075 23986645 24511900 24962770 25249100 25282274 25488302 26064200 26276600 26311124 26612920 27102436 27695920 28013600 28278992 28528880 29129488 29191904 30069856 32888905 33266150 33581303 33878045 34591267 34619900 35348740 35661100 35707954 36411860 36489880 37209200 37258088 37587320 38378632 38410400 39219040 39565600 39940432 40398560 44185925 45514825 45612350 46572610 46984150 47429263 47973290 49023800 49925540 50498200 50564548 50976604 52128400 52553200 52622248 53225840 54204872 55391840 56557984 57057760 58258976 62406925 63205685 63720755 65777810 66532300 67162606 67756090 69182534 69239800 70697480 71322200 71415908 72823720 72979760 74418400 74516176 75174640 76757264 79880864 88371850 88487959 89269885 91029650 91149251 91224700 93145220 93968300 94858526 95946580 98047600 99851080 100996400 101129096 101953208 104256800 105106400 105244496 106451680 108409744 116431525 119933225 124813850 124977839 126411370 127441510 128736571 131555620 133064600 134325212 135512180 138365068 138479600 141394960 142644400 142831816 145647440 145959520 149032352 150349280 153514528 164444525 167906515 169390225 172956335 176743700 176975918 178539770 182059300 182298502 182449400 186290440 187936600 189717052 191893160 196095200 199702160 201992800 202258192 203906416 210488992 216819488 232863050 237146315 239866450 242138869 249627700 249955678 252822740 254883020 257473142 263111240 266129200 268650424 271024360 276730136 276959200 282789920 285288800 285663632 291294880 316028425 318603775 328889050 335813030 338780450 345912670 353487400 353951836 357079540 364118600 364597004 364898800 372580880 375873200 379434104 383786320 399404320 404516384 407812832 442439795 446349425 455746255 465726100 474292630 479732900 484277738 499255400 499911356 505645480 509766040 514946284 526222480 532258400 537300848 542048720 553460272 571327264 624889195 632056850 637207550 638044757 643682855 657234073 657778100 671626060 677560900 691825340 706974800 707903672 714159080 728237200 729194008 729797600 745161760 751746400 758868208 767572640 839532575 864781675 884879590 892698850 901155997 911492510 931452200 948585260 959465800 968555476 998510800 999822712 1011290960 1019532080 1029892568 1052444960 1074601696 1084097440 1106920544 1185731575 1210694345 1249778390 1264113700 1274415100 1276089514 1287365710 1314468146 1315556200 1343252120 1355121800 1383650680 1413949600 1415807344 1428318160 1456474400 1458388016 1517736416 1679065150 1729563350 1731835769 1769759180 1785397700 1802311994 1822985020 1862904400 1897170520 1918931600 1937110952 1997021600 1999645424 2022581920 2039064160 2059785136 2212198975 2278731275 2371463150 2421388690 2445994849 2499556780 2528227400 2548830200 2552179028 2574731420 2628936292 2631112400 2686504240 2710243600 2767301360 2831614688 2856636320 2916776032 3124445975 3190223785 3218414275 3286170365 3358130300 3459126700 3463671538 3539518360 3570795400 3604623988 3645970040 3725808800 3794341040 3837863200 3874221904 3999290848 4119570272 4424397950 4505779985 4557462550 4600638511 4742926300 4842777380 4891989698 4999113560 5056454800 5097660400 5104358056 5149462840 5257872584 5262224800 5373008480 5420487200 5534602720 6053471725 6248891950 6380447570 6436828550 6572340730 6716260600 6918253400 6927343076 7079036720 7141590800 7209247976 7291940080 7588682080 7748443808 8659178845 8848795900 9011559970 9114925100 9201277022 9485852600 9685554760 9783979396 9998227120 10112909600 10195320800 10208716112 10298925680 10515745168 12106943450 12122850383 12229974245 12487447387 12497783900 12760895140 12873657100 13144681460 13432521200 13836506800 13854686152 14158073440 14283181600 14418495952 14583880160 15951118925 16430851825 17121963943 17318357690 17697591800 18023119940 18229850200 18402554044 18971705200 19371109520 19567958792 19996454240 20417432224 20597851360 21031490336 22528899925 23003192555 24213886900 24245700766 24459948490 24974894774 24995567800 25521790280 25747314200 26289362920 26865042400 27673013600 27709372304 28836991904 31902237850 32861703650 34243927886 34636715380 35395183600 36046239880 36459700400 36805108088 37943410400 38742219040 39135917584 43295894225 45057799850 46006385110 48427773800 48491401532 48919896980 49949789548 49991135600 51043580560 51494628400 52578725840 55418744608 60614251915 61149871225 62437236935 63804475700 65723407300 68487855772 69273430760 70790367200 72092479760 72919400800 73610216176 78271835168 85609819715 86591788450 87412131709 90115599700 92012770220 96855547600 96982803064 97839793960 99899579096 99982271200 102087161120 102989256800 105157451680 115015962775 121228503830 122299742450 124874473870 127608951400 131446814600 136975711544 138546861520 144184959520 147220432352 171219639430 173183576900 174824263418 180231199400 184025540440 193711095200 193965606128 195679587920 199799158192 230031925550 237261500353 242457007660 244599484900 249748947740 255217902800 262893629200 273951423088 277093723040 303071259575 312186184675 342439278860 346367153800 349648526836 360462398800 368051080880 387931212256 391359175840 399598316384 428049098575 437060658545 460063851100 474523000706 484914015320 489198969800 499497895480 510435805600 525787258400 547902846176 606142519150 624372369350 684878557720 692734307600 699297053672 720924797600 736102161760 856098197150 874121317090 920127702200 949046001412 969828030640 978397939600 998995790960 1186307501765 1212285038300 1248744738700 1369757115440 1385468615200 1398594107344 1660830502471 1712196394300 1748242634180 1840255404400 1898092002824 1939656061280 1956795879200 1997991581920 2185303292725 2372615003530 2424570076600 2497489477400 2739514230880 2797188214688 3321661004942 3424392788600 3496485268360 3680510808800 3796184005648 4370606585450 4745230007060 4849140153200 4994978954800 5931537508825 6643322009884 6848785577200 6992970536720 7592368011296 8304152512355 8741213170900 9490460014120 9698280306400 9989957909600 11863075017650 13286644019768 13697571154400 13985941073440 16608305024710 17482426341800 18980920028240 23726150035300 26573288039536 33216610049420 34964852683600 37961840056480 41520762561775 47452300070600 53146576079072 66433220098840 69929705367200 83041525123550 94904600141200 132866440197680 166083050247100 189809200282400 265732880395360 332166100494200 664332200988400 1328664401976800
- Sum of all divisors σ(n): 3982320912742704
- Sum of proper divisors (its aliquot sum) s(n): 2653656510765904
- 1328664401976800 is an abundant number, because the sum of its proper divisors (2653656510765904) is greater than itself. Its abundance is 1324992108789104
Bases of 1328664401976800
- Binary: 1001011100001101001110010011011010010011101111000002
- Hexadecimal: 0x4B869C9B49DE0
- Base-36: D2YZZZU6ZK
Squares and roots of 1328664401976800
- 1328664401976800 squared (13286644019768002) is 1765349093080367575747738240000
- 1328664401976800 cubed (13286644019768003) is 2345556497037912824011593803744784952832000000
-
The
square root of 1328664401976800 is 36450849.1255937685 -
The
cube root of 1328664401976800 is 109935.6207850727
Scales and comparisons
How big is 1328664401976800?- 1,328,664,401,976,800 seconds is equal to 42,247,418 years, 8 weeks, 1 hour, 33 minutes, 20 seconds.
-
To count from 1 to 1,328,664,401,976,800 would take you about one hundred twenty-six million, seven hundred forty-two thousand, two hundred fifty-four 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 1328664401976800 cubic inches would be around 9161.3 feet tall.
Recreational maths with 1328664401976800
- 1328664401976800 backwards is 0086791044668231
- The number of decimal digits it has is: 16
- The sum of 1328664401976800's digits is 65
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 1328664401976800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
APA style:
Numbermatics. (2024). Number 1328664401976800 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/1328664401976800/
Chicago style:
Numbermatics. 2024. "Number 1328664401976800 - Facts about the integer". https://numbermatics.com/n/1328664401976800/
The information we have on file for 1328664401976800 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!
Keywords: Divisors of 1328664401976800, math, Factors of 1328664401976800, curriculum, school, college, exams, university, Prime factorization of 1328664401976800, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, three hundred twenty-eight trillion, six hundred sixty-four billion, four hundred one million, nine hundred seventy-six thousand, eight hundred.