428896978992000
428,896,978,992,000 is an even composite number composed of four prime numbers multiplied together.
428896978992000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 428896978992000:
27 × 311 × 53 × 3892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 389 × 389)See below for interesting mathematical facts about the number 428896978992000 from the Numbermatics database.
Names of 428896978992000
- Cardinal: 428896978992000 can be written as Four hundred twenty-eight trillion, eight hundred ninety-six billion, nine hundred seventy-eight million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 4.28896978992 × 1014
Factors of 428896978992000
Divisors of 428896978992000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 270 288 300 320 324 360 375 384 389 400 405 432 450 480 486 500 540 576 600 640 648 675 720 729 750 778 800 810 864 900 960 972 1000 1080 1125 1152 1167 1200 1215 1296 1350 1440 1458 1500 1556 1600 1620 1728 1800 1920 1944 1945 2000 2025 2160 2187 2250 2334 2400 2430 2592 2700 2880 2916 3000 3112 3200 3240 3375 3456 3501 3600 3645 3888 3890 4000 4050 4320 4374 4500 4668 4800 4860 5184 5400 5760 5832 5835 6000 6075 6224 6480 6561 6750 7002 7200 7290 7776 7780 8000 8100 8640 8748 9000 9336 9600 9720 9725 10125 10368 10503 10800 10935 11664 11670 12000 12150 12448 12960 13122 13500 14004 14400 14580 15552 15560 16000 16200 17280 17496 17505 18000 18225 18672 19440 19450 19683 20250 21006 21600 21870 23328 23340 24000 24300 24896 25920 26244 27000 28008 28800 29160 29175 30375 31104 31120 31509 32400 32805 34992 35010 36000 36450 37344 38880 38900 39366 40500 42012 43200 43740 46656 46680 48000 48600 48625 49792 51840 52488 52515 54000 54675 56016 58320 58350 59049 60750 62240 63018 64800 65610 69984 70020 72000 72900 74688 77760 77800 78732 81000 84024 86400 87480 87525 91125 93312 93360 94527 97200 97250 98415 104976 105030 108000 109350 112032 116640 116700 118098 121500 124480 126036 129600 131220 139968 140040 144000 145800 145875 149376 151321 155520 155600 157464 157545 162000 164025 168048 174960 175050 177147 182250 186720 189054 194400 194500 196830 209952 210060 216000 218700 224064 233280 233400 236196 243000 248960 252072 259200 262440 262575 273375 279936 280080 283581 291600 291750 295245 302642 311200 314928 315090 324000 328050 336096 349920 350100 354294 364500 373440 378108 388800 389000 393660 419904 420120 432000 437400 437625 448128 453963 466560 466800 472392 472635 486000 492075 504144 524880 525150 546750 560160 567162 583200 583500 590490 605284 622400 629856 630180 648000 656100 672192 699840 700200 708588 729000 746880 756216 756605 777600 778000 787320 787725 820125 839808 840240 850743 874800 875250 885735 907926 933600 944784 945270 972000 984150 1008288 1049760 1050300 1093500 1120320 1134324 1166400 1167000 1180980 1210568 1244800 1259712 1260360 1296000 1312200 1312875 1344384 1361889 1399680 1400400 1417176 1417905 1458000 1476225 1512432 1513210 1556000 1574640 1575450 1640250 1680480 1701486 1749600 1750500 1771470 1815852 1867200 1889568 1890540 1944000 1968300 2016576 2099520 2100600 2187000 2240640 2268648 2269815 2332800 2334000 2361960 2363175 2421136 2460375 2519424 2520720 2552229 2624400 2625750 2723778 2800800 2834352 2835810 2916000 2952450 3024864 3026420 3112000 3149280 3150900 3280500 3360960 3402972 3499200 3501000 3542940 3631704 3734400 3779136 3781080 3783025 3888000 3936600 3938625 4033152 4085667 4199040 4201200 4253715 4374000 4428675 4537296 4539630 4668000 4723920 4726350 4842272 4920750 5041440 5104458 5248800 5251500 5447556 5601600 5668704 5671620 5832000 5904900 6049728 6052840 6224000 6298560 6301800 6561000 6721920 6805944 6809445 6998400 7002000 7085880 7089525 7263408 7381125 7558272 7562160 7566050 7656687 7873200 7877250 8171334 8402400 8507430 8748000 8857350 9074592 9079260 9336000 9447840 9452700 9684544 9841500 10082880 10208916 10497600 10503000 10895112 11203200 11337408 11343240 11349075 11664000 11809800 11815875 12099456 12105680 12257001 12597120 12603600 12761145 13122000 13611888 13618890 14004000 14171760 14179050 14526816 14762250 15124320 15132100 15313374 15746400 15754500 16342668 16804800 17014860 17496000 17714700 18149184 18158520 18672000 18895680 18905400 18915125 19369088 19683000 20165760 20417832 20428335 20995200 21006000 21268575 21790224 22143375 22674816 22686480 22698150 22970061 23619600 23631750 24211360 24514002 25207200 25522290 26244000 27223776 27237780 28008000 28343520 28358100 29053632 29524500 30248640 30264200 30626748 31492800 31509000 32685336 33609600 34029720 34047225 34992000 35429400 35447625 36298368 36317040 36771003 37791360 37810800 37830250 38283435 39366000 40835664 40856670 42012000 42537150 43580448 44286750 45372960 45396300 45940122 47239200 47263500 48422720 49028004 50414400 51044580 52488000 54447552 54475560 56016000 56687040 56716200 56745375 58107264 59049000 60497280 60528400 61253496 61285005 62985600 63018000 63805725 65370672 68059440 68094450 68910183 70858800 70895250 72634080 73542006 75621600 75660500 76566870 78732000 81671328 81713340 84024000 85074300 87160896 88573500 90745920 90792600 91880244 94478400 94527000 96845440 98056008 100828800 102089160 102141675 104976000 106342875 108895104 108951120 110313009 113374080 113432400 113490750 114850305 118098000 121056800 122506992 122570010 126036000 127611450 130741344 136118880 136188900 137820366 141717600 141790500 145268160 147084012 151243200 151321000 153133740 157464000 163342656 163426680 168048000 170148600 170236125 174321792 177147000 181491840 181585200 183760488 183855015 188956800 189054000 191417175 196112016 204178320 204283350 212685750 217902240 220626018 226864800 226981500 229700610 236196000 242113600 245013984 245140020 252072000 255222900 261482688 272237760 272377800 275640732 283435200 283581000 290536320 294168024 302486400 302642000 306267480 306425025 314928000 319028625 326685312 326853360 330939027 340297200 340472250 344550915 354294000 363170400 367520976 367710030 378108000 382834350 392224032 408356640 408566700 425371500 435804480 441252036 453729600 453963000 459401220 472392000 484227200 490027968 490280040 504144000 510445800 510708375 522965376 544475520 544755600 551281464 551565045 566870400 567162000 574251525 588336048 605284000 612534960 612850050 638057250 653706720 661878054 680594400 680944500 689101830 708588000 726340800 735041952 735420060 756216000 765668700 784448064 816713280 817133400 850743000 871608960 882504072 907459200 907926000 918802440 919275075 944784000 957085875 980055936 980560080 992817081 1020891600 1021416750 1089511200 1102562928 1103130090 1134324000 1148503050 1176672096 1210568000 1225069920 1225700100 1276114500 1307413440 1323756108 1361188800 1361889000 1378203660 1417176000 1452681600 1470083904 1470840120 1512432000 1531337400 1532125125 1568896128 1633426560 1634266800 1654695135 1701486000 1722754575 1765008144 1815852000 1837604880 1838550150 1914171750 1961120160 1985634162 2041783200 2042833500 2179022400 2205125856 2206260180 2268648000 2297006100 2353344192 2421136000 2450139840 2451400200 2552229000 2614826880 2647512216 2722377600 2723778000 2756407320 2757825225 2834352000 2871257625 2940167808 2941680240 2978451243 3062674800 3064250250 3268533600 3309390270 3402972000 3445509150 3530016288 3631704000 3675209760 3677100300 3828343500 3922240320 3971268324 4083566400 4085667000 4358044800 4410251712 4412520360 4537296000 4594012200 4596375375 4706688384 4900279680 4902800400 4964085405 5104458000 5295024432 5447556000 5512814640 5515650450 5742515250 5883360480 5956902486 6125349600 6128500500 6537067200 6618780540 6805944000 6891018300 7060032576 7263408000 7350419520 7354200600 7656687000 7844480640 7942536648 8167132800 8171334000 8273475675 8613772875 8820503424 8825040720 8935353729 9188024400 9192750750 9805600800 9928170810 10208916000 10590048864 10895112000 11025629280 11031300900 11485030500 11766720960 11913804972 12250699200 12257001000 13074134400 13237561080 13611888000 13782036600 13789126125 14120065152 14700839040 14708401200 14892256215 15313374000 15885073296 16342668000 16546951350 17227545750 17650081440 17870707458 18376048800 18385501500 19611201600 19856341620 20417832000 21180097728 21790224000 22051258560 22062601800 22970061000 23533441920 23827609944 24501398400 24514002000 24820427025 26475122160 26806061187 27564073200 27578252250 29416802400 29784512430 30626748000 31770146592 32685336000 33093902700 34455091500 35300162880 35741414916 36752097600 36771003000 39222403200 39712683240 40835664000 41367378375 42360195456 44102517120 44125203600 44676768645 45940122000 47655219888 49028004000 49640854050 52950244320 53612122374 55128146400 55156504500 58833604800 59569024860 61253496000 63540293184 65370672000 66187805400 68910183000 70600325760 71482829832 73504195200 73542006000 74461281075 79425366480 82734756750 88250407200 89353537290 91880244000 95310439776 98056008000 99281708100 105900488640 107224244748 110256292800 110313009000 117667209600 119138049720 122506992000 124102135125 127080586368 132375610800 134030305935 137820366000 142965659664 147084012000 148922562150 158850732960 165469513500 176500814400 178707074580 183760488000 190620879552 196112016000 198563416200 211800977280 214448489496 220512585600 220626018000 223383843225 238276099440 248204270250 264751221600 268060611870 275640732000 285931319328 294168024000 297845124300 317701465920 330939027000 353001628800 357414149160 367520976000 372306405375 381241759104 397126832400 428896978992 441252036000 446767686450 476552198880 496408540500 529502443200 536121223740 551281464000 571862638656 588336048000 595690248600 635402931840 661878054000 670151529675 714828298320 744612810750 794253664800 857793957984 882504072000 893535372900 953104397760 992817081000 1059004886400 1072242447480 1102562928000 1116919216125 1143725277312 1191380497200 1323756108000 1340303059350 1429656596640 1489225621500 1588507329600 1715587915968 1765008144000 1787070745800 1906208795520 1985634162000 2144484894960 2233838432250 2382760994400 2647512216000 2680606118700 2859313193280 2978451243000 3177014659200 3350757648375 3431175831936 3574141491600 3971268324000 4288969789920 4467676864500 4765521988800 5295024432000 5361212237400 5718626386560 5956902486000 6701515296750 7148282983200 7942536648000 8577939579840 8935353729000 9531043977600 10722424474800 11913804972000 13403030593500 14296565966400 15885073296000 17155879159680 17870707458000 21444848949600 23827609944000 26806061187000 28593131932800 35741414916000 42889697899200 47655219888000 53612122374000 71482829832000 85779395798400 107224244748000 142965659664000 214448489496000 428896978992000
- Sum of all divisors σ(n): 1603637094477600
- Sum of proper divisors (its aliquot sum) s(n): 1174740115485600
- 428896978992000 is an abundant number, because the sum of its proper divisors (1174740115485600) is greater than itself. Its abundance is 745843136493600
Bases of 428896978992000
- Binary: 11000011000010100010111000001001111111011100000002
- Hexadecimal: 0x186145C13FB80
- Base-36: 4814JVI000
Squares and roots of 428896978992000
- 428896978992000 squared (4288969789920002) is 183952618588464089336064000000
- 428896978992000 cubed (4288969789920003) is 78896722390259871217516252635967488000000000
-
The
square root of 428896978992000 is 20709828.0773163349 -
The
cube root of 428896978992000 is 75413.8296738859
Scales and comparisons
How big is 428896978992000?- 428,896,978,992,000 seconds is equal to 13,637,597 years, 13 weeks, 6 days.
-
To count from 1 to 428,896,978,992,000 would take you about thirty-four million, ninety-three thousand, nine hundred ninety-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 428896978992000 cubic inches would be around 6284.5 feet tall.
Recreational maths with 428896978992000
- 428896978992000 backwards is 000299879698824
- 428896978992000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428896978992000's digits is 81
- More coming soon!
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The information we have on file for 428896978992000 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 428896978992000, math, Factors of 428896978992000, curriculum, school, college, exams, university, Prime factorization of 428896978992000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, eight hundred ninety-six billion, nine hundred seventy-eight million, nine hundred ninety-two thousand.