42688948064256
42,688,948,064,256 is an even composite number composed of five prime numbers multiplied together.
42688948064256 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 42688948064256:
212 × 35 × 132 × 193 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 19 × 19 × 19 × 37)See below for interesting mathematical facts about the number 42688948064256 from the Numbermatics database.
Names of 42688948064256
- Cardinal: 42688948064256 can be written as Forty-two trillion, six hundred eighty-eight billion, nine hundred forty-eight million, sixty-four thousand, two hundred fifty-six.
Scientific notation
- Scientific notation: 4.2688948064256 × 1013
Factors of 42688948064256
Divisors of 42688948064256
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 37 38 39 48 52 54 57 64 72 74 76 78 81 96 104 108 111 114 117 128 144 148 152 156 162 169 171 192 208 216 222 228 234 243 247 256 288 296 304 312 324 333 338 342 351 361 384 416 432 444 456 468 481 486 494 507 512 513 576 592 608 624 648 666 676 684 702 703 722 741 768 832 864 888 912 936 962 972 988 999 1014 1024 1026 1053 1083 1152 1184 1216 1248 1296 1332 1352 1368 1404 1406 1443 1444 1482 1521 1536 1539 1664 1728 1776 1824 1872 1924 1944 1976 1998 2028 2048 2052 2106 2109 2166 2223 2304 2368 2432 2496 2592 2664 2704 2736 2808 2812 2886 2888 2964 2997 3042 3072 3078 3159 3211 3249 3328 3456 3552 3648 3744 3848 3888 3952 3996 4056 4096 4104 4212 4218 4329 4332 4446 4563 4608 4617 4693 4736 4864 4992 5184 5328 5408 5472 5616 5624 5772 5776 5928 5994 6084 6144 6156 6253 6318 6327 6422 6498 6656 6669 6859 6912 7104 7296 7488 7696 7776 7904 7992 8112 8208 8424 8436 8658 8664 8892 8991 9126 9139 9216 9234 9386 9472 9633 9728 9747 9984 10368 10656 10816 10944 11232 11248 11544 11552 11856 11988 12168 12288 12312 12506 12636 12654 12844 12987 12996 13312 13338 13357 13689 13718 13824 14079 14208 14592 14976 15392 15552 15808 15984 16224 16416 16848 16872 17316 17328 17784 17982 18252 18278 18432 18468 18759 18772 18944 18981 19266 19456 19494 19968 20007 20577 20736 21312 21632 21888 22464 22496 23088 23104 23712 23976 24336 24624 25012 25272 25308 25688 25974 25992 26624 26676 26714 27378 27417 27436 27648 28158 28416 28899 29184 29241 29952 30784 31104 31616 31968 32448 32832 33696 33744 34632 34656 35568 35964 36504 36556 36864 36936 37518 37544 37888 37962 38532 38912 38961 38988 39936 40014 40071 41067 41154 41472 42237 42624 43264 43776 44928 44992 46176 46208 47424 47952 48672 49248 50024 50544 50616 51376 51948 51984 53248 53352 53428 54756 54834 54872 55296 56277 56316 56832 56943 57798 58368 58482 59904 60021 61009 61568 61731 62208 63232 63936 64896 65664 67392 67488 69264 69312 71136 71928 73008 73112 73872 75036 75088 75776 75924 77064 77824 77922 77976 79872 80028 80142 82134 82251 82308 82944 84474 85248 86528 86697 87552 87723 89167 89856 89984 92352 92416 94848 95904 97344 98496 100048 101088 101232 102752 103896 103968 106704 106856 109512 109668 109744 110592 112554 112632 113664 113886 115596 116736 116883 116964 118807 119808 120042 120213 122018 123136 123462 124416 126464 126711 127872 129792 131328 134784 134976 138528 138624 142272 143856 146016 146224 147744 150072 150176 151552 151848 154128 155844 155952 159744 160056 160284 164268 164502 164616 165888 168831 168948 170496 170829 173056 173394 173641 175104 175446 178334 179712 179968 183027 184704 184832 185193 189696 191808 194688 196992 200096 202176 202464 205504 207792 207936 213408 213712 219024 219336 219488 225108 225264 227328 227772 231192 233472 233766 233928 237614 239616 240084 240426 244036 246272 246753 246924 248832 252928 253422 253783 255744 259584 260091 262656 267501 269568 269952 277056 277248 284544 287712 292032 292448 295488 300144 300352 303696 308256 311688 311904 320112 320568 328536 329004 329232 331776 337662 337896 340992 341658 346112 346788 347282 350208 350892 356421 356668 359424 359936 360639 366054 369408 369664 370386 379392 380133 383616 389376 393984 400192 404352 404928 411008 415584 415872 426816 427424 438048 438672 438976 450216 450528 454656 455544 462384 467532 467856 475228 479232 480168 480852 488072 492544 493506 493848 497664 505856 506493 506844 507566 511488 519168 520182 520923 525312 535002 539136 539904 549081 554112 554496 555579 569088 575424 584064 584896 590976 600288 600704 607392 616512 623376 623808 640224 641136 657072 658008 658464 675324 675792 681984 683316 692224 693576 694564 700416 701784 712842 713336 718848 719872 721278 732108 738816 739328 740259 740772 758784 760266 761349 767232 778752 780273 787968 800384 802503 808704 809856 822016 831168 831744 853632 854848 876096 877344 877952 900432 901056 911088 924768 935064 935712 950456 960336 961704 976144 985088 987012 987696 995328 1011712 1012986 1013688 1015132 1022976 1038336 1040364 1041846 1050624 1069263 1070004 1078272 1079808 1081917 1098162 1108224 1108992 1111158 1138176 1140399 1150848 1159171 1168128 1169792 1181952 1200576 1201408 1214784 1233024 1246752 1247616 1280448 1282272 1314144 1316016 1316928 1350648 1351584 1363968 1366632 1387152 1389128 1403568 1425684 1426672 1437696 1439744 1442556 1464216 1477632 1478656 1480518 1481544 1517568 1519479 1520532 1522698 1534464 1557504 1560546 1562769 1575936 1600768 1605006 1617408 1619712 1644032 1647243 1662336 1663488 1666737 1707264 1709696 1752192 1754688 1755904 1800864 1802112 1822176 1849536 1870128 1871424 1900912 1920672 1923408 1952288 1970176 1974024 1975392 2025972 2027376 2030264 2045952 2076672 2080728 2083692 2101248 2138526 2140008 2156544 2159616 2163834 2196324 2216448 2217984 2220777 2222316 2257333 2276352 2280798 2284047 2301696 2318342 2336256 2339584 2363904 2401152 2402816 2407509 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37093472 37433344 37506456 38418432 38493468 38520144 38873088 39456768 39533832 39590148 39896064 39923712 40631994 40974336 41032704 41112846 41730156 42052608 42112512 42141696 42194763 42889327 43220736 43250688 43335162 43732224 44388864 44452096 44914176 45621888 45653504 46161792 46854912 47376576 47409408 48623328 48657024 48726336 49937472 50008608 51324624 51360192 51932016 52711776 52786864 53194752 53335584 54175992 54710272 54817128 55640208 56070144 56150016 56259684 57627648 57667584 57740202 57780216 58309632 59185152 59300748 59385222 59844096 59885568 60829184 60947991 61461504 61549056 61669269 62473216 62595234 63168768 63212544 64831104 64876032 64968448 66583296 66678144 68432832 68480256 69242688 70282368 71064864 71114112 72234656 72985536 73089504 74186944 75012912 76836864 76986936 77040288 77746176 79067664 79180296 79792128 81263988 81948672 82065408 82225692 83460312 84105216 84225024 84283392 84389526 85778654 86441472 86501376 86670324 87464448 88777728 88904192 89077833 89828352 91243776 91307008 92323584 93709824 93892851 94753152 94818816 97246656 97314048 97452672 99874944 100017216 102649248 102720384 103864032 105423552 105573728 106671168 108351984 109634256 111280416 112300032 112519368 115255296 115480404 115560432 116619264 118370304 118601496 118770444 119688192 119771136 121658368 121895982 122923008 123098112 123338538 124946432 125190468 126337536 126425088 128667981 129662208 129752064 129936896 133166592 133356288 136865664 136960512 138485376 140564736 142129728 142228224 144469312 145971072 146179008 148373888 150025824 153973872 154080576 158135328 158360592 159584256 162527976 164130816 164451384 166920624 168210432 168450048 168779052 171557308 172882944 173002752 173340648 174928896 177555456 177808384 178155666 179656704 182487552 182614016 182843973 184647168 187419648 187785702 189506304 189637632 194493312 194628096 194905344 199749888 200034432 205298496 205440768 207728064 210847104 211147456 213342336 216703968 219268512 222560832 225038736 230510592 230960808 231120864 233238528 237202992 237540888 239376384 243316736 243791964 245846016 246196224 246677076 249892864 250380936 252675072 252850176 257335962 259324416 259504128 259873792 266333184 266712576 267233499 273731328 273921024 276970752 281129472 281678553 284259456 284456448 288938624 291942144 292358016 296747776 300051648 307947744 308161152 316270656 316721184 325055952 328902768 333841248 336900096 337558104 343114616 345765888 346681296 349857792 355110912 355616768 356311332 359313408 364975104 365228032 365687946 369294336 374839296 375571404 379012608 379275264 386003943 388986624 389256192 389810688 399499776 400068864 410596992 410881536 415456128 421694208 422294912 426684672 433407936 438537024 445121664 450077472 461921616 462241728 474405984 475081776 478752768 486633472 487583928 492392448 493354152 500761872 505350144 514671924 518648832 519008256 519747584 532666368 533425152 534466998 547462656 547842048 548531919 553941504 562258944 563357106 568518912 568912896 577877248 583884288 584716032 593495552 600103296 615895488 616322304 632541312 633442368 650111904 657805536 667682496 675116208 686229232 691531776 693362592 699715584 711233536 712622664 729950208 731375892 738588672 749678592 751142808 758025216 758550528 772007886 777973248 778512384 779621376 798999552 800137728 801700497 821193984 821763072 830912256 843388416 844589824 853369344 866815872 877074048 890243328 900154944 923843232 924483456 948811968 950163552 975167856 986708304 1001523744 1010700288 1029343848 1037297664 1039495168 1065332736 1066850304 1068933996 1094925312 1095684096 1097063838 1107883008 1124517888 1126714212 1137037824 1137825792 1155754496 1158011829 1167768576 1169432064 1186991104 1200206592 1231790976 1232644608 1265082624 1266884736 1300223808 1315611072 1335364992 1350232416 1372458464 1386725184 1425245328 1459900416 1462751784 1477177344 1502285616 1516050432 1544015772 1555946496 1557024768 1559242752 1597999104 1600275456 1603400994 1642387968 1643526144 1661824512 1686776832 1689179648 1706738688 1733631744 1754148096 1780486656 1800309888 1847686464 1848966912 1897623936 1900327104 1950335712 1973416608 2003047488 2058687696 2074595328 2133700608 2137867992 2189850624 2194127676 2215766016 2249035776 2253428424 2274075648 2275651584 2311508992 2316023658 2335537152 2338864128 2373982208 2400413184 2463581952 2465289216 2530165248 2533769472 2600447616 2631222144 2670729984 2700464832 2744916928 2773450368 2850490656 2925503568 3004571232 3032100864 3088031544 3111892992 3118485504 3195998208 3200550912 3206801988 3284775936 3287052288 3323649024 3373553664 3378359296 3413477376 3467263488 3474035487 3508296192 3560973312 3600619776 3695372928 3697933824 3795247872 3800654208 3900671424 3946833216 4006094976 4117375392 4275735984 4379701248 4388255352 4431532032 4506856848 4548151296 4623017984 4632047316 4671074304 4677728256 4747964416 4800826368 4927163904 4930578432 5060330496 5067538944 5200895232 5262444288 5341459968 5400929664 5489833856 5546900736 5700981312 5851007136 6009142464 6176063088 6223785984 6401101824 6413603976 6569551872 6647298048 6747107328 6756718592 6826954752 6934526976 6948070974 7016592384 7121946624 7201239552 7390745856 7395867648 7590495744 7601308416 7801342848 7893666432 8012189952 8234750784 8551471968 8776510704 9013713696 9096302592 9246035968 9264094632 9355456512 9601652736 9854327808 9861156864 10120660992 10135077888 10401790464 10422106461 10524888576 10682919936 10801859328 10979667712 11093801472 11401962624 11702014272 12018284928 12352126176 12827207952 13139103744 13294596096 13513437184 13869053952 13896141948 14033184768 14243893248 14402479104 14781491712 14791735296 15180991488 15202616832 15602685696 15787332864 16024379904 16469501568 17102943936 17553021408 18027427392 18528189264 19203305472 19708655616 20241321984 20270155776 20803580928 20844212922 21049777152 21365839872 21603718656 21959335424 22187602944 22803925248 23404028544 24036569856 24704252352 25654415904 27738107904 27792283896 28066369536 28804958208 29562983424 29583470592 30361982976 30405233664 31205371392 31574665728 32048759808 32939003136 34205887872 35106042816 36054854784 37056378528 39417311232 40540311552 41607161856 41688425844 42099554304 42731679744 43207437312 43918670848 44375205888 45607850496 46808057088 48073139712 49408504704 51308831808 55584567792 57609916416 59125966848 60723965952 60810467328 62410742784 63149331456 64097519616 65878006272 68411775744 70212085632 72109709568 74112757056 83214323712 83376851688 84199108608 86414874624 87837341696 88750411776 91215700992 93616114176 96146279424 98817009408 102617663616 111169135584 118251933696 121620934656 124821485568 126298662912 128195039232 131756012544 136823551488 140424171264 144219419136 148225514112 166753703376 172829749248 175674683392 182431401984 187232228352 192292558848 197634018816 205235327232 222338271168 249642971136 252597325824 263512025088 273647102976 280848342528 288438838272 296451028224 333507406752 364862803968 374464456704 384585117696 395268037632 410470654464 444676542336 527024050176 547294205952 561696685056 576877676544 592902056448 667014813504 748928913408 790536075264 820941308928 889353084672 1094588411904 1123393370112 1153755353088 1185804112896 1334029627008 1581072150528 1641882617856 1778706169344 2246786740224 2371608225792 2668059254016 3283765235712 3557412338688 4743216451584 5336118508032 7114824677376 10672237016064 14229649354752 21344474032128 42688948064256
- Sum of all divisors σ(n): 150110669567040
- Sum of proper divisors (its aliquot sum) s(n): 107421721502784
- 42688948064256 is an abundant number, because the sum of its proper divisors (107421721502784) is greater than itself. Its abundance is 64732773438528
Bases of 42688948064256
- Binary: 10011011010011010010111001010111010000000000002
- Hexadecimal: 0x26D34B95D000
- Base-36: F4R15HC00
Squares and roots of 42688948064256
- 42688948064256 squared (426889480642562) is 1822346286832746089504833536
- 42688948064256 cubed (426889480642563) is 77794045993692865518800117294182711689216
-
The
square root of 42688948064256 is 6533677.9890239461 -
The
cube root of 42688948064256 is 34949.3002164443
Scales and comparisons
How big is 42688948064256?- 42,688,948,064,256 seconds is equal to 1,357,376 years, 26 weeks, 1 day, 57 minutes, 36 seconds.
-
To count from 1 to 42,688,948,064,256 would take you about three million, three hundred ninety-three thousand, four hundred forty-one 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 42688948064256 cubic inches would be around 2912.4 feet tall.
Recreational maths with 42688948064256
- 42688948064256 backwards is 65246084988624
- 42688948064256 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42688948064256's digits is 72
- More coming soon!
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"Number 42688948064256 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 42688948064256 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/42688948064256/
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The information we have on file for 42688948064256 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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