40828749489216
40,828,749,489,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 40828749489216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
40828749489216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 40828749489216:
26 × 33 × 133 × 192 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 13 × 19 × 19 × 31 × 31 × 31)See below for interesting mathematical facts about the number 40828749489216 from the Numbermatics database.
Names of 40828749489216
- Cardinal: 40828749489216 can be written as Forty trillion, eight hundred twenty-eight billion, seven hundred forty-nine million, four hundred eighty-nine thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.0828749489216 × 1013
Factors of 40828749489216
Divisors of 40828749489216
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 31 32 36 38 39 48 52 54 57 62 64 72 76 78 93 96 104 108 114 117 124 144 152 156 169 171 186 192 208 216 228 234 247 248 279 288 304 312 338 342 351 361 372 403 416 432 456 468 494 496 507 513 558 576 589 608 624 676 684 702 722 741 744 806 832 837 864 912 936 961 988 992 1014 1026 1083 1116 1178 1209 1216 1248 1352 1368 1404 1444 1482 1488 1521 1612 1674 1728 1767 1824 1872 1922 1976 1984 2028 2052 2166 2197 2223 2232 2356 2418 2496 2704 2736 2808 2883 2888 2964 2976 3042 3211 3224 3249 3348 3534 3627 3648 3744 3844 3952 4056 4104 4332 4394 4446 4464 4563 4693 4712 4836 5239 5301 5408 5472 5616 5766 5776 5928 5952 6084 6422 6448 6498 6591 6669 6696 7068 7254 7488 7657 7688 7904 8112 8208 8649 8664 8788 8892 8928 9126 9386 9424 9633 9672 9747 10478 10602 10816 10881 10944 11191 11232 11532 11552 11856 12168 12493 12844 12896 12996 13182 13338 13392 14079 14136 14508 15314 15376 15717 15808 15903 16224 16416 17298 17328 17576 17784 17856 18252 18259 18772 18848 19266 19344 19494 19773 20956 21204 21762 22382 22464 22971 23064 23104 23712 24336 24986 25688 25792 25947 25992 26364 26676 26784 28158 28272 28899 29016 29791 30628 30752 31434 31806 32448 32832 33573 34596 34656 35152 35568 36504 36518 37479 37544 37696 38532 38688 38988 39546 41743 41912 42237 42408 43524 44764 45942 46128 47151 47424 48672 49972 51376 51894 51984 52728 53352 53568 54777 56316 56544 57798 58032 59319 59582 61009 61256 61504 62868 63612 67146 68107 68913 69192 69312 70304 71136 73008 73036 74958 75088 77064 77376 77976 79092 83486 83824 84474 84816 86697 87048 89373 89528 91884 92256 94302 97344 99541 99944 100719 102752 103788 103968 105456 106704 109554 112437 112632 113088 115596 116064 118638 119164 122018 122512 125229 125736 126711 127224 134292 136214 137826 138384 140608 141453 142272 145483 146016 146072 149916 150176 154128 155952 158184 162409 164331 166972 167648 168948 169632 173394 174096 178746 179056 183027 183768 184512 188604 199082 199888 201438 204321 205504 206739 207576 207936 210912 213408 219108 224874 225264 231192 232128 237276 237367 238328 244036 245024 250458 251472 253422 254448 268119 268584 272428 275652 276768 282906 290966 292032 292144 298623 299832 300352 302157 308256 311904 316368 324818 328662 333944 335296 337311 337896 339264 346788 346921 348192 357492 358112 366054 367536 375687 377208 387283 398164 399776 402876 408642 413478 415152 421824 426816 436449 438216 449748 450528 462384 474552 474734 476656 487227 488072 490048 492993 500916 502944 506844 508896 536238 537168 544856 549081 551304 553536 565812 566029 581932 584288 597246 599664 604314 612963 616512 623808 632736 649636 657324 667888 674622 675792 693576 693842 696384 712101 714984 716224 732108 735072 751374 754416 774566 793117 796328 799552 804357 805752 817284 826956 830304 872898 876432 895869 899496 901056 924768 949104 949468 953312 974454 976144 985986 1001832 1005888 1013688 1017792 1040763 1072476 1074336 1089712 1098162 1102608 1127061 1131624 1132058 1161849 1163864 1168576 1194492 1199328 1208628 1225926 1265472 1294033 1299272 1309347 1314648 1335776 1349244 1351584 1387152 1387684 1424202 1429968 1461681 1464216 1470144 1502748 1508832 1549132 1586234 1592656 1608714 1611504 1634568 1647243 1653912 1660608 1698087 1745796 1752864 1791738 1798992 1838889 1849536 1891279 1898208 1898936 1906624 1948908 1952288 1971972 2003664 2027376 2081526 2111317 2136303 2144952 2148672 2179424 2196324 2205216 2254122 2263248 2264116 2323698 2327728 2379351 2388984 2398656 2417256 2451852 2588066 2598544 2618694 2629296 2671552 2687607 2698488 2703168 2774304 2775368 2848404 2859936 2923362 2928432 3005496 3017664 3085771 3098264 3122289 3172468 3185312 3217428 3223008 3269136 3294486 3307824 3396174 3485547 3491592 3505728 3583476 3597984 3677778 3782558 3796416 3797872 3882099 3897816 3904576 3928041 3943944 4007328 4054752 4163052 4222634 4272606 4289904 4358848 4385043 4392648 4410432 4508244 4509973 4526496 4528232 4647396 4655456 4758702 4777968 4834512 4903704 5034679 5094261 5176132 5197088 5237388 5258592 5375214 5396976 5548608 5550736 5673837 5696808 5719872 5846724 5856864 6010992 6171542 6196528 6244578 6333951 6344936 6370624 6408909 6434856 6446016 6538272 6588972 6615648 6792348 6971094 6983184 7138053 7166952 7195968 7355556 7358377 7565116 7595744 7764198 7795632 7856082 7887888 8014656 8109504 8326104 8445268 8545212 8579808 8770086 8785296 9016488 9019946 9052992 9056464 9257313 9294792 9310912 9366867 9517404 9555936 9669024 9807408 10069358 10188522 10352264 10394176 10456641 10474776 10517184 10750428 10754551 10793952 11101472 11347674 11393616 11646297 11693448 11713728 12021984 12343084 12393056 12489156 12667902 12689872 12817818 12869712 13076544 13177944 13231296 13529919 13584696 13942188 13966368 14276106 14333904 14711112 14716754 15104037 15130232 15191488 15282783 15528396 15591264 15712164 15775776 16652208 16890536 17021511 17090424 17159616 17540172 17570592 18032976 18039892 18112928 18514626 18589584 18733734 19001853 19034808 19111872 19338048 19614816 20138716 20377044 20704528 20913282 20949552 21414159 21500856 21509102 21587904 22075131 22202944 22695348 22787232 23292594 23386896 24043968 24586627 24686168 24786112 24978312 25335804 25379744 25635636 25739424 26355888 27059838 27169392 27771939 27884376 27932736 28552212 28667808 29422224 29433508 30208074 30260464 30565566 31056792 31182528 31424328 31551552 32263653 33304416 33781072 34043022 34180848 34938891 35080344 35141184 36065952 36079784 36225856 37029252 37179168 37467468 38003706 38069616 39229632 40115023 40277432 40589757 40754088 41409056 41826564 41899104 42828318 43001712 43018204 44150262 45312111 45390696 45574464 46585188 46773792 49173254 49372336 49956624 50671608 50759488 51064533 51271272 51478848 52711776 54119676 54338784 55543878 55768752 57005559 57104424 57335616 58629649 58844448 58867016 60416148 60520928 61131132 62113584 62848656 64527306 65450827 66225393 66608832 67562144 68086044 68361696 69877782 70160688 72131904 72159568 73759881 74058504 74358336 74934936 76007412 76139232 80230046 80554864 81179514 81508176 82818112 83315817 83653128 83798208 85656636 86003424 86036408 88300524 90624222 90781392 93170376 93547584 95658901 96790959 98346508 98744672 99913248 101343216 102129066 102542544 105423552 108239352 108677568 111087756 111537504 114011118 114208848 117259298 117688896 117734032 120345069 120832296 121041856 121769271 122262264 124227168 125697312 129054612 130901654 132450786 135124288 135936333 136172088 136723392 139755564 139809163 140321376 144319136 147519762 148117008 149869872 152014824 152278464 160460092 161109728 162359028 163016352 166631634 167306256 171313272 172006848 172072816 175888947 176601048 181248444 181562784 186340752 191317802 193581918 196352481 196693016 197489344 198676179 199826496 202686432 204258132 205085088 216478704 221279643 222175512 223075008 228022236 228417696 234518596 235468064 240690138 241664592 243538542 244524528 248454336 251394624 258109224 261803308 264901572 271872666 272344176 279511128 279618326 280642752 286976703 288638272 290372877 295039524 296234016 299739744 304029648 320920184 322219456 324718056 326032704 333263268 334612512 342626544 344145632 351777894 353202096 361035207 362496888 363125568 372681504 382635604 387163836 392704962 393386032 397352358 405372864 408516264 410170176 419427489 432957408 442559286 444351024 456044472 456835392 469037192 470936128 481380276 483329184 487077084 489049056 516218448 523606616 527666841 529803144 543745332 544688352 559022256 559236652 573953406 580745754 589057443 590079048 592468032 599479488 608059296 641840368 649436112 663838929 666526536 669225024 685253088 688291264 703555788 706404192 722070414 724993776 745363008 762185437 765271208 774327672 785409924 786772064 794704716 817032528 838854978 860930109 865914816 885118572 888702048 912088944 938074384 962760552 966658368 974154168 978098112 1032436896 1047213232 1055333682 1059606288 1083105621 1087490664 1089376704 1118044512 1118473304 1147906812 1161491508 1178114886 1180158096 1216118592 1243565713 1258282467 1283680736 1298872224 1327677858 1333053072 1370506176 1407111576 1412808384 1444140828 1449987552 1524370874 1530542416 1548655344 1570819848 1573544128 1583000523 1589409432 1634065056 1677709956 1721860218 1767172329 1770237144 1777404096 1817519119 1824177888 1876148768 1925521104 1948308336 2064873792 2094426464 2110667364 2119212576 2166211242 2174981328 2236089024 2236946608 2286556311 2295813624 2322983016 2356229772 2360316192 2487131426 2516564934 2567361472 2582790327 2597744448 2655355716 2666106144 2814223152 2888281656 2899975104 3048741748 3061084832 3097310688 3141639696 3166001046 3178818864 3268130112 3355419912 3443720436 3534344658 3540474288 3635038238 3648355776 3730697139 3752297536 3774847401 3851042208 3896616672 4188852928 4221334728 4238425152 4332422484 4349962656 4473893216 4573112622 4591627248 4645966032 4712459544 4720632384 4974262852 5033129868 5165580654 5310711432 5332212288 5452557357 5628446304 5776563312 6097483496 6122169664 6194621376 6283279392 6332002092 6357637728 6710839824 6859668933 6887440872 7068689316 7080948576 7270076476 7461394278 7549694802 7702084416 7793233344 8442669456 8664844968 8699925312 8947786432 9146225244 9183254496 9291932064 9424919088 9948525704 10066259736 10331161308 10621422864 10905114714 11192091417 11256892608 11553126624 12194966992 12566558784 12664004184 12715275456 13421679648 13719337866 13774881744 14137378632 14161897152 14540152952 14922788556 15099389604 16357672071 16885338912 17329689936 18292450488 18366508992 18583864128 18849838176 19897051408 20132519472 20579006799 20662322616 21242845728 21810229428 22384182834 23106253248 23627748547 24389933984 25328008368 26843359296 27438675732 27549763488 28274757264 29080305904 29845577112 30198779208 32715344142 33576274251 33770677824 34659379872 36584900976 37699676352 39794102816 40265038944 41158013598 41324645232 42485691456 43620458856 44768365668 47255497094 48779867968 49073016213 50656016736 54877351464 55099526976 56549514528 58160611808 59691154224 60397558416 65430688284 67152548502 69318759744 70883245641 73169801952 79588205632 80530077888 82316027196 82649290464 87240917712 89536731336 94510994188 98146032426 101312033472 109754702928 113099029056 116321223616 119382308448 120795116832 130861376568 134305097004 141766491282 146339603904 164632054392 165298580928 174481835424 179073462672 189021988376 196292064852 212649736923 219509405856 238764616896 241590233664 261722753136 268610194008 283532982564 329264108784 348963670848 358146925344 378043976752 392584129704 425299473846 439018811712 523445506272 537220388016 567065965128 637949210769 658528217568 716293850688 756087953504 785168259408 850598947692 1046891012544 1074440776032 1134131930256 1275898421538 1317056435136 1512175907008 1570336518816 1701197895384 2148881552064 2268263860512 2551796843076 3140673037632 3402395790768 4536527721024 5103593686152 6804791581536 10207187372304 13609583163072 20414374744608 40828749489216
- Sum of all divisors σ(n): 141804722841600
- Sum of proper divisors (its aliquot sum) s(n): 100975973352384
- 40828749489216 is an abundant number, because the sum of its proper divisors (100975973352384) is greater than itself. Its abundance is 60147223863168
Bases of 40828749489216
- Binary: 10010100100010001011110001110000100100010000002
- Hexadecimal: 0x25222F1C2440
- Base-36: EH0GVA1C0
Squares and roots of 40828749489216
- 40828749489216 squared (408287494892162) is 1666986784853155780900294656
- 40828749489216 cubed (408287494892163) is 68060985840603106174998583044783894429696
-
The
square root of 40828749489216 is 6389737.8263287141 -
The
cube root of 40828749489216 is 34434.0965476499
Scales and comparisons
How big is 40828749489216?- 40,828,749,489,216 seconds is equal to 1,298,227 years, 48 weeks, 6 days, 22 hours, 33 minutes, 36 seconds.
-
To count from 1 to 40,828,749,489,216 would take you about three million, two hundred forty-five thousand, five hundred sixty-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 40828749489216 cubic inches would be around 2869.5 feet tall.
Recreational maths with 40828749489216
- 40828749489216 backwards is 61298494782804
- 40828749489216 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40828749489216's digits is 72
- More coming soon!
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Numbermatics. (2024). Number 40828749489216 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/40828749489216/
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The information we have on file for 40828749489216 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 40828749489216, math, Factors of 40828749489216, curriculum, school, college, exams, university, Prime factorization of 40828749489216, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, eight hundred twenty-eight billion, seven hundred forty-nine million, four hundred eighty-nine thousand, two hundred sixteen.