42448646428122816
42,448,646,428,122,816 is an even composite number composed of five prime numbers multiplied together.
42448646428122816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 42448646428122816:
26 × 32 × 74 × 313 × 1013
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 7 × 31 × 31 × 31 × 101 × 101 × 101)See below for interesting mathematical facts about the number 42448646428122816 from the Numbermatics database.
Names of 42448646428122816
- Cardinal: 42448646428122816 can be written as Forty-two quadrillion, four hundred forty-eight trillion, six hundred forty-six billion, four hundred twenty-eight million, one hundred twenty-two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.2448646428122816 × 1016
Factors of 42448646428122816
Divisors of 42448646428122816
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 49 56 62 63 64 72 84 93 96 98 101 112 124 126 144 147 168 186 192 196 202 217 224 248 252 279 288 294 303 336 343 372 392 404 434 441 448 496 504 558 576 588 606 651 672 686 707 744 784 808 868 882 909 961 992 1008 1029 1116 1176 1212 1302 1344 1372 1414 1488 1519 1568 1616 1736 1764 1818 1922 1953 1984 2016 2058 2121 2232 2352 2401 2424 2604 2744 2828 2883 2976 3038 3087 3131 3136 3232 3472 3528 3636 3844 3906 4032 4116 4242 4464 4557 4704 4802 4848 4949 5208 5488 5656 5766 5952 6076 6174 6262 6363 6464 6727 6944 7056 7203 7272 7688 7812 8232 8484 8649 8928 9114 9393 9408 9604 9696 9898 10201 10416 10633 10976 11312 11532 12152 12348 12524 12726 13454 13671 13888 14112 14406 14544 14847 15376 15624 16464 16968 17298 17856 18228 18786 19208 19392 19796 20181 20402 20832 21266 21609 21917 21952 22624 23064 24304 24696 25048 25452 26908 27342 28179 28224 28812 29088 29694 29791 30603 30752 31248 31899 32928 33936 34596 34643 36456 37572 38416 39592 40362 40804 41664 42532 43218 43834 44541 45248 46128 47089 48608 49392 50096 50904 53816 54684 56358 57624 58176 59388 59582 60543 61206 61504 62496 63798 65751 65856 67872 69192 69286 71407 72912 74431 75144 76832 79184 80724 81608 85064 86436 87668 89082 89373 91809 92256 94178 95697 97061 97216 98784 100192 101808 103929 107632 109368 112716 115248 118776 119164 121086 122412 124992 127596 131502 135744 138384 138572 141267 142814 145824 148862 150288 153419 153664 158368 161448 163216 170128 172872 175336 178164 178746 183618 184512 188356 191394 194122 197253 197568 200384 203616 207858 208537 214221 215264 218736 223293 225432 230496 237552 238328 242172 242501 244824 255192 263004 268119 276768 277144 282534 285628 291183 291648 297724 300576 306838 311787 316231 316736 322896 326432 329623 340256 345744 350672 356328 357492 367236 376712 382788 388244 394506 407232 415716 417074 423801 428442 430528 437472 446586 450864 460257 460992 475104 476656 484344 485002 489648 499849 510384 526008 536238 553536 554288 565068 571256 582366 595448 601152 613676 623574 625611 632462 642663 645792 652864 659246 669879 679427 680512 691488 701344 712656 714984 727503 734472 753424 765576 776488 789012 831432 834148 847602 856884 873549 874944 893172 901728 920514 948693 950208 953312 968688 970004 979296 988869 999698 1020768 1030301 1052016 1072476 1073933 1108576 1130136 1142512 1164732 1190896 1227352 1247148 1251222 1264924 1285326 1291584 1318492 1339758 1358854 1380771 1382976 1402688 1425312 1429968 1455006 1459759 1468944 1499547 1506848 1531152 1552976 1578024 1662864 1668296 1695204 1713768 1747098 1786344 1803456 1841028 1876833 1897386 1906624 1937376 1940008 1958592 1977738 1999396 2038281 2041536 2060602 2104032 2144952 2147866 2182509 2213617 2217152 2260272 2285024 2307361 2329464 2381792 2454704 2494296 2502444 2529848 2570652 2636984 2679516 2717708 2761542 2846079 2850624 2859936 2910012 2919518 2937888 2966607 2999094 3008891 3013696 3062304 3090903 3105952 3156048 3221799 3325728 3336592 3390408 3427536 3494196 3498943 3572688 3682056 3753666 3794772 3874752 3880016 3955476 3998792 4076562 4121204 4208064 4289904 4295732 4365018 4379277 4427234 4498641 4520544 4570048 4614722 4658928 4755989 4763584 4909408 4988592 5004888 5059696 5141304 5273968 5359032 5435416 5523084 5692158 5719872 5820024 5839036 5875776 5933214 5998188 6017782 6114843 6124608 6181806 6211904 6312096 6443598 6640851 6651456 6673184 6780816 6855072 6922083 6988392 6997886 7145376 7212107 7364112 7507332 7517531 7589544 7760032 7910952 7997584 8153124 8242408 8579808 8591464 8730036 8758554 8854468 8997282 9026673 9041088 9229444 9272709 9317856 9511978 9665397 9803161 9818816 9977184 10009776 10119392 10218313 10282608 10496829 10547936 10718064 10870832 11046168 11384316 11640048 11678072 11866428 11996376 12035564 12229686 12363612 12624192 12887196 13137831 13281702 13346368 13561632 13710144 13844166 13976784 13995772 14267967 14290752 14424214 14728224 15014664 15035062 15179088 15495319 15520064 15821904 15995168 16306248 16484816 17159616 17182928 17460072 17517108 17708936 17994564 18053346 18458888 18545418 18635712 19023956 19330794 19606322 19922553 19954368 20019552 20238784 20436626 20565216 20766249 20993658 21062237 21095872 21436128 21636321 21741664 22092336 22552593 22768632 23280096 23356144 23732856 23992752 24071128 24459372 24492601 24727224 25774392 26275662 26563404 27080019 27123264 27688332 27953568 27991544 28535934 28848428 29409483 29456448 30029328 30070124 30358176 30654939 30990638 31490487 31643808 31939331 31990336 32612496 32969632 33291923 34365856 34920144 35034216 35417872 35989128 36106692 36917776 37090836 38047912 38661588 39212644 39845106 40039104 40873252 41130432 41532498 41987316 42124474 42803901 42872256 43272642 43483328 44184672 45105186 45537264 46485957 46560192 46712288 47465712 47985504 48142256 48918744 48985202 49454448 50484749 51548784 52551324 53126808 54160038 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3056498158707 3105014002496 3155094873504 3335584349216 3389384096784 3437694074192 3493140752808 3680944019088 3752532392868 3867405833466 3992160860352 4075330878276 4161224039616 4288608448992 4377954458346 4419892381104 4511973472377 4519178795712 4657521003744 4754552691322 4907925358784 5003376523824 5156541111288 5433774504368 5521416028632 5837272611128 5893189841472 6015964629836 6112996317414 6310189747008 6566931687519 6671168698432 6778768193568 6875388148384 6986281505616 7131829036983 7361888038176 7505064785736 7734811666932 8150661756552 8577216897984 8755908916692 8839784762208 9023946944754 9315042007488 9509105382644 10006753047648 10313082222576 10527938102213 10867549008736 11042832057264 11674545222256 12031929259672 12225992634828 13133863375038 13535920417131 13557536387136 13750776296768 13972563011232 14263658073966 14723776076352 15010129571472 15469623333864 16301323513104 17511817833384 17679569524416 18047893889508 19018210765288 20013506095296 20626164445152 21055876204426 21395487110949 21735098017472 22085664114528 23349090444512 24063858519344 24451985269656 26267726750076 27071840834262 27945126022464 28527316147932 30020259142944 30939246667728 31583814306639 32602647026208 35023635666768 36095787779016 38036421530576 41252328890304 42111752408852 42790974221898 44171328229056 46698180889024 48127717038688 48903970539312 52535453500152 54143681668524 57054632295864 60040518285888 61878493335456 63167628613278 65205294052416 70047271333536 72191575558032 73695566715491 76072843061152 84223504817704 85581948443796 94751442919917 96255434077376 97807941078624 105070907000304 108287363337048 114109264591728 123756986670912 126335257226556 140094542667072 144383151116064 147391133430982 152145686122304 168447009635408 171163896887592 189502885839834 195615882157248 210141814000608 216574726674096 221086700146473 228218529183456 252670514453112 288766302232128 294782266861964 336894019270816 342327793775184 379005771679668 420283628001216 433149453348192 442173400292946 456437058366912 505341028906224 589564533723928 663260100439419 673788038541632 684655587550368 758011543359336 866298906696384 884346800585892 1010682057812448 1179129067447856 1326520200878838 1369311175100736 1516023086718672 1768693601171784 2021364115624896 2358258134895712 2653040401757676 3032046173437344 3537387202343568 4716516269791424 5306080803515352 6064092346874688 7074774404687136 10612161607030704 14149548809374272 21224323214061408 42448646428122816
- Sum of all divisors σ(n): 148139448463508736
- Sum of proper divisors (its aliquot sum) s(n): 105690802035385920
- 42448646428122816 is an abundant number, because the sum of its proper divisors (105690802035385920) is greater than itself. Its abundance is 63242155607263104
Bases of 42448646428122816
- Binary: 100101101100111011010001101010111000101101011110110000002
- Hexadecimal: 0x96CED1AB8B5EC0
- Base-36: BLYSEYJQCW0
Squares and roots of 42448646428122816
- 42448646428122816 squared (424486464281228162) is 1801887583579783905103417579769856
- 42448646428122816 cubed (424486464281228163) is 76487688938602846141845012358179284289951382634496
-
The
square root of 42448646428122816 is 206030692.9273471525 -
The
cube root of 42448646428122816 is 348835.9873018609
Scales and comparisons
How big is 42448646428122816?- 42,448,646,428,122,816 seconds is equal to 1,349,735,654 years, 6 weeks, 5 days, 6 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,448,646,428,122,816 would take you about four billion, forty-nine million, two hundred six thousand, nine hundred sixty-two 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 42448646428122816 cubic inches would be around 29069.7 feet tall.
Recreational maths with 42448646428122816
- 42448646428122816 backwards is 61822182464684424
- 42448646428122816 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42448646428122816's digits is 72
- More coming soon!
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"Number 42448646428122816 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 42448646428122816 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/42448646428122816/
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The information we have on file for 42448646428122816 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 42448646428122816, math, Factors of 42448646428122816, curriculum, school, college, exams, university, Prime factorization of 42448646428122816, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, four hundred forty-eight trillion, six hundred forty-six billion, four hundred twenty-eight million, one hundred twenty-two thousand, eight hundred sixteen.