42400890130268160
42,400,890,130,268,160 is an even composite number composed of five prime numbers multiplied together.
What does the number 42400890130268160 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1760 divisors.
42400890130268160 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty divisors.
Prime factorization of 42400890130268160:
221 × 33 × 5 × 414 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 41 × 41 × 41 × 41 × 53)See below for interesting mathematical facts about the number 42400890130268160 from the Numbermatics database.
Names of 42400890130268160
- Cardinal: 42400890130268160 can be written as Forty-two quadrillion, four hundred trillion, eight hundred ninety billion, one hundred thirty million, two hundred sixty-eight thousand, one hundred sixty.
Scientific notation
- Scientific notation: 4.240089013026816 × 1016
Factors of 42400890130268160
Divisors of 42400890130268160
- Number of divisors d(n): 1760
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 41 45 48 53 54 60 64 72 80 82 90 96 106 108 120 123 128 135 144 159 160 164 180 192 205 212 216 240 246 256 265 270 288 318 320 328 360 369 384 410 424 432 477 480 492 512 530 540 576 615 636 640 656 720 738 768 795 820 848 864 954 960 984 1024 1060 1080 1107 1152 1230 1272 1280 1312 1431 1440 1476 1536 1590 1640 1681 1696 1728 1845 1908 1920 1968 2048 2120 2160 2173 2214 2304 2385 2460 2544 2560 2624 2862 2880 2952 3072 3180 3280 3362 3392 3456 3690 3816 3840 3936 4096 4240 4320 4346 4428 4608 4770 4920 5043 5088 5120 5248 5535 5724 5760 5904 6144 6360 6519 6560 6724 6784 6912 7155 7380 7632 7680 7872 8192 8405 8480 8640 8692 8856 9216 9540 9840 10086 10176 10240 10496 10865 11070 11448 11520 11808 12288 12720 13038 13120 13448 13568 13824 14310 14760 15129 15264 15360 15744 16384 16810 16960 17280 17384 17712 18432 19080 19557 19680 20172 20352 20480 20992 21730 22140 22896 23040 23616 24576 25215 25440 26076 26240 26896 27136 27648 28620 29520 30258 30528 30720 31488 32595 32768 33620 33920 34560 34768 35424 36864 38160 39114 39360 40344 40704 40960 41984 43460 44280 45387 45792 46080 47232 49152 50430 50880 52152 52480 53792 54272 55296 57240 58671 59040 60516 61056 61440 62976 65190 65536 67240 67840 68921 69120 69536 70848 73728 75645 76320 78228 78720 80688 81408 81920 83968 86920 88560 89093 90774 91584 92160 94464 97785 98304 100860 101760 104304 104960 107584 108544 110592 114480 117342 118080 121032 122112 122880 125952 130380 131072 134480 135680 137842 138240 139072 141696 147456 151290 152640 156456 157440 161376 162816 163840 167936 173840 177120 178186 181548 183168 184320 188928 195570 196608 201720 203520 206763 208608 209920 215168 217088 221184 226935 228960 234684 236160 242064 244224 245760 251904 260760 262144 267279 268960 271360 275684 276480 278144 283392 293355 294912 302580 305280 312912 314880 322752 325632 327680 335872 344605 347680 354240 356372 363096 366336 368640 377856 391140 393216 403440 407040 413526 417216 419840 430336 434176 442368 445465 453870 457920 469368 472320 484128 488448 491520 503808 521520 524288 534558 537920 542720 551368 552960 556288 566784 586710 589824 605160 610560 620289 625824 629760 645504 651264 655360 671744 689210 695360 708480 712744 726192 732672 737280 755712 782280 786432 801837 806880 814080 827052 834432 839680 860672 868352 884736 890930 907740 915840 938736 944640 968256 976896 983040 1007616 1033815 1043040 1048576 1069116 1075840 1085440 1102736 1105920 1112576 1133568 1173420 1179648 1210320 1221120 1240578 1251648 1259520 1291008 1302528 1310720 1336395 1343488 1378420 1390720 1416960 1425488 1452384 1465344 1474560 1511424 1564560 1572864 1603674 1613760 1628160 1654104 1668864 1679360 1721344 1736704 1769472 1781860 1815480 1831680 1860867 1877472 1889280 1936512 1953792 1966080 2015232 2067630 2086080 2097152 2138232 2151680 2170880 2205472 2211840 2225152 2267136 2346840 2359296 2405511 2420640 2442240 2481156 2503296 2519040 2582016 2605056 2621440 2672790 2686976 2756840 2781440 2825761 2833920 2850976 2904768 2930688 2949120 3022848 3101445 3129120 3145728 3207348 3227520 3256320 3308208 3337728 3358720 3442688 3473408 3538944 3563720 3630960 3652813 3663360 3721734 3754944 3778560 3873024 3907584 3932160 4009185 4030464 4135260 4172160 4276464 4303360 4341760 4410944 4423680 4450304 4534272 4693680 4718592 4811022 4841280 4884480 4962312 5006592 5038080 5164032 5210112 5242880 5345580 5373952 5513680 5562880 5651522 5667840 5701952 5809536 5861376 5898240 6045696 6202890 6258240 6291456 6414696 6455040 6512640 6616416 6675456 6717440 6885376 6946816 7077888 7127440 7261920 7305626 7326720 7443468 7509888 7557120 7746048 7815168 7864320 8018370 8060928 8270520 8344320 8477283 8552928 8606720 8683520 8821888 8847360 8900608 9068544 9304335 9387360 9437184 9622044 9682560 9768960 9924624 10013184 10076160 10328064 10420224 10485760 10691160 10747904 10958439 11027360 11125760 11303044 11335680 11403904 11619072 11722752 11796480 12027555 12091392 12405780 12516480 12829392 12910080 13025280 13232832 13350912 13434880 13770752 13893632 14128805 14155776 14254880 14523840 14611252 14653440 14886936 15019776 15114240 15492096 15630336 15728640 16036740 16121856 16541040 16688640 16954566 17105856 17213440 17367040 17643776 17694720 17801216 18137088 18264065 18608670 18774720 18874368 19244088 19365120 19537920 19849248 20026368 20152320 20656128 20840448 21382320 21495808 21916878 22054720 22251520 22606088 22671360 22807808 23238144 23445504 23592960 24055110 24182784 24811560 25032960 25431849 25658784 25820160 26050560 26465664 26701824 26869760 27541504 27787264 28257610 28311552 28509760 29047680 29222504 29306880 29773872 30039552 30228480 30984192 31260672 31457280 32073480 32243712 32875317 33082080 33377280 33909132 34211712 34426880 34734080 35287552 35389440 35602432 36274176 36528130 37217340 37549440 38488176 38730240 39075840 39698496 40052736 40304640 41312256 41680896 42386415 42764640 42991616 43833756 44109440 44503040 45212176 45342720 45615616 46476288 46891008 47185920 48110220 48365568 49623120 50065920 50863698 51317568 51640320 52101120 52931328 53403648 53739520 54792195 55083008 55574528 56515220 56623104 57019520 58095360 58445008 58613760 59547744 60079104 60456960 61968384 62521344 64146960 64487424 65750634 66164160 66754560 67818264 68423424 68853760 69468160 70575104 70778880 71204864 72548352 73056260 74434680 75098880 76295547 76976352 77460480 78151680 79396992 80105472 80609280 82624512 83361792 84772830 85529280 85983232 87667512 88218880 89006080 90424352 90685440 91231232 92952576 93782016 94371840 96220440 96731136 98625951 99246240 100131840 101727396 102635136 103280640 104202240 105862656 106807296 107479040 109584390 110166016 111149056 113030440 114039040 116190720 116890016 117227520 119095488 120158208 120913920 123936768 125042688 127159245 128293920 128974848 131501268 132328320 133509120 135636528 136846848 137707520 138936320 141150208 141557760 142409728 145096704 146112520 148869360 149765333 150197760 152591094 153952704 154920960 156303360 158793984 160210944 161218560 164376585 165249024 166723584 169545660 171058560 175335024 176437760 178012160 180848704 181370880 182462464 185905152 187564032 192440880 193462272 197251902 198492480 200263680 203454792 205270272 206561280 208404480 211725312 213614592 214958080 219168780 220332032 226060880 228078080 232381440 233780032 234455040 238190976 240316416 241827840 247873536 250085376 254318490 256587840 257949696 263002536 264656640 267018240 271273056 273693696 275415040 277872640 282300416 283115520 284819456 290193408 292225040 297738720 299530666 300395520 305182188 307905408 309841920 312606720 317587968 320421888 322437120 328753170 330498048 333447168 339091320 342117120 350670048 352875520 356024320 361697408 362741760 364924928 371810304 375128064 381477735 384881760 386924544 394503804 396984960 400527360 406909584 410540544 413122560 416808960 423450624 427229184 429916160 438337560 440664064 449295999 452121760 456156160 464762880 467560064 468910080 476381952 480632832 483655680 493129755 495747072 500170752 508636980 513175680 526005072 529313280 534036480 542546112 547387392 550830080 555745280 564600832 569638912 580386816 584450080 595477440 599061332 600791040 610364376 615810816 619683840 625213440 635175936 640843776 644874240 657506340 660996096 678182640 684234240 701340096 705751040 712048640 723394816 725483520 729849856 743620608 748826665 750256128 762955470 769763520 773849088 789007608 793969920 801054720 813819168 821081088 826245120 833617920 846901248 854458368 876675120 881328128 898591998 904243520 912312320 929525760 935120128 937820160 952763904 961265664 967311360 986259510 991494144 1000341504 1017273960 1026351360 1052010144 1058626560 1068072960 1085092224 1094774784 1101660160 1129201664 1139277824 1160773632 1168900160 1190954880 1198122664 1201582080 1220728752 1231621632 1239367680 1250426880 1270351872 1281687552 1289748480 1315012680 1321992192 1347887997 1356365280 1368468480 1402680192 1411502080 1424097280 1446789632 1450967040 1459699712 1487241216 1497653330 1500512256 1525910940 1539527040 1578015216 1587939840 1602109440 1627638336 1642162176 1652490240 1667235840 1693802496 1708916736 1753350240 1762656256 1797183996 1808487040 1824624640 1859051520 1870240256 1875640320 1905527808 1922531328 1934622720 1972519020 1982988288 2034547920 2052702720 2104020288 2117253120 2136145920 2170184448 2189549568 2203320320 2246479995 2258403328 2278555648 2321547264 2337800320 2381909760 2396245328 2403164160 2441457504 2463243264 2478735360 2500853760 2540703744 2563375104 2630025360 2643984384 2695775994 2712730560 2736936960 2805360384 2823004160 2848194560 2893579264 2901934080 2919399424 2974482432 2995306660 3001024512 3051821880 3079054080 3156030432 3175879680 3204218880 3255276672 3284324352 3304980480 3387604992 3417833472 3506700480 3525312512 3594367992 3616974080 3649249280 3718103040 3740480512 3751280640 3811055616 3845062656 3869245440 3945038040 3965976576 4043663991 4069095840 4105405440 4208040576 4234506240 4272291840 4340368896 4379099136 4406640640 4492959990 4516806656 4557111296 4675600640 4763819520 4792490656 4806328320 4882915008 4926486528 4957470720 5001707520 5081407488 5126750208 5260050720 5287968768 5391551988 5425461120 5473873920 5610720768 5646008320 5696389120 5787158528 5803868160 5838798848 5948964864 5990613320 6103643760 6158108160 6312060864 6351759360 6408437760 6510553344 6568648704 6609960960 6739439985 6775209984 6835666944 7013400960 7188735984 7233948160 7298498560 7436206080 7480961024 7502561280 7622111232 7690125312 7890076080 7931953152 8087327982 8138191680 8210810880 8416081152 8469012480 8544583680 8680737792 8758198272 8813281280 8985919980 9033613312 9351201280 9527639040 9584981312 9612656640 9765830016 9852973056 9914941440 10162814976 10253500416 10520101440 10575937536 10783103976 10850922240 10947747840 11221441536 11292016640 11392778240 11574317056 11607736320 11677597696 11897929728 11981226640 12207287520 12316216320 12624121728 12703518720 12816875520 13021106688 13137297408 13219921920 13478879970 13550419968 13671333888 14026801920 14377471968 14467896320 14596997120 14872412160 14961922048 15005122560 15244222464 15380250624 15780152160 15863906304 16174655964 16276383360 16421621760 16832162304 16938024960 17089167360 17361475584 17516396544 17626562560 17971839960 18067226624 18702402560 19055278080 19169962624 19225313280 19531660032 19705946112 19829882880 20218319955 20325629952 20507000832 21040202880 21566207952 21701844480 21895495680 22442883072 22584033280 22785556480 23148634112 23355195392 23795859456 23962453280 24414575040 24632432640 25248243456 25407037440 25633751040 26042213376 26274594816 26439843840 26957759940 27100839936 28053603840 28754943936 28935792640 29193994240 29744824320 29923844096 30488444928 30760501248 31560304320 31727812608 32349311928 32552766720 32843243520 33664324608 33876049920 34178334720 34722951168 35032793088 35943679920 36134453248 37404805120 38110556160 38339925248 38450626560 39063320064 39411892224 39659765760 40436639910 40651259904 41014001664 42080405760 43132415904 43403688960 43790991360 44885766144 45168066560 46297268224 46710390784 47591718912 47924906560 48829150080 49264865280 50496486912 50814074880 51267502080 52084426752 52549189632 52879687680 53915519880 54201679872 56107207680 57509887872 57871585280 58387988480 59489648640 59847688192 60976889856 61521002496 63120608640 64698623856 65105533440 65686487040 67328649216 67752099840 68356669440 69445902336 70065586176 71887359840 72268906496 74809610240 76221112320 76679850496 76901253120 78126640128 78823784448 79319531520 80873279820 81302519808 84160811520 86264831808 86807377920 87581982720 89771532288 90336133120 92594536448 93420781568 95183437824 95849813120 97658300160 98529730560 100992973824 101628149760 102535004160 104168853504 105098379264 107831039760 108403359744 112214415360 115019775744 115743170560 116775976960 118979297280 119695376384 121953779712 123042004992 126241217280 129397247712 130211066880 131372974080 134657298432 135504199680 138891804672 140131172352 143774719680 144537812992 149619220480 152442224640 153359700992 153802506240 156253280256 157647568896 158639063040 161746559640 162605039616 168321623040 172529663616 173614755840 175163965440 179543064576 180672266240 185189072896 186841563136 191699626240 195316600320 197059461120 201985947648 203256299520 205070008320 208337707008 210196758528 215662079520 216806719488 224428830720 230039551488 231486341120 233551953920 237958594560 239390752768 243907559424 252482434560 258794495424 260422133760 262745948160 269314596864 271008399360 277783609344 280262344704 287549439360 299238440960 304884449280 306719401984 307605012480 312506560512 315295137792 323493119280 325210079232 336643246080 345059327232 347229511680 350327930880 359086129152 361344532480 370378145792 383399252480 390633200640 394118922240 403971895296 406512599040 416675414016 420393517056 431324159040 433613438976 448857661440 460079102976 462972682240 467103907840 475917189120 478781505536 487815118848 504964869120 517588990848 520844267520 525491896320 538629193728 542016798720 555567218688 560524689408 575098878720 598476881920 609768898560 613438803968 615210024960 625013121024 630590275584 646986238560 650420158464 673286492160 690118654464 694459023360 700655861760 718172258304 722689064960 740756291584 766798504960 781266401280 788237844480 807943790592 813025198080 833350828032 840787034112 862648318080 897715322880 920158205952 925945364480 934207815680 957563011072 975630237696 1009929738240 1035177981696 1041688535040 1050983792640 1077258387456 1084033597440 1111134437376 1150197757440 1196953763840 1219537797120 1226877607936 1250026242048 1261180551168 1293972477120 1300840316928 1346572984320 1380237308928 1388918046720 1401311723520 1436344516608 1481512583168 1533597009920 1562532802560 1576475688960 1615887581184 1626050396160 1666701656064 1681574068224 1725296636160 1795430645760 1840316411904 1851890728960 1915126022144 1951260475392 2019859476480 2070355963392 2083377070080 2101967585280 2154516774912 2168067194880 2222268874752 2300395514880 2393907527680 2439075594240 2453755215872 2500052484096 2522361102336 2587944954240 2693145968640 2760474617856 2777836093440 2802623447040 2872689033216 2963025166336 3067194019840 3125065605120 3152951377920 3231775162368 3252100792320 3333403312128 3450593272320 3590861291520 3680632823808 3703781457920 3830252044288 3902520950784 4039718952960 4140711926784 4166754140160 4203935170560 4309033549824 4444537749504 4600791029760 4787815055360 4878151188480 4907510431744 5000104968192 5044722204672 5175889908480 5386291937280 5520949235712 5555672186880 5745378066432 5926050332672 6134388039680 6250131210240 6305902755840 6463550324736 6504201584640 6666806624256 6901186544640 7181722583040 7361265647616 7407562915840 7660504088576 8079437905920 8281423853568 8333508280320 8407870341120 8618067099648 8889075499008 9201582059520 9575630110720 9756302376960 9815020863488 10000209936384 10351779816960 10772583874560 11041898471424 11111344373760 11490756132864 12268776079360 12500262420480 12611805511680 12927100649472 13333613248512 13802373089280 14363445166080 14722531295232 14815125831680 16158875811840 16562847707136 16667016560640 17236134199296 17778150998016 18403164119040 19151260221440 19512604753920 19630041726976 20000419872768 20703559633920 21545167749120 22083796942848 22222688747520 22981512265728 24537552158720 25000524840960 25223611023360 25854201298944 26667226497024 27604746178560 28726890332160 29445062590464 29630251663360 32317751623680 33125695414272 33334033121280 34472268398592 36806328238080 38302520442880 39260083453952 40000839745536 41407119267840 43090335498240 44167593885696 44445377495040 49075104317440 50001049681920 51708402597888 53334452994048 55209492357120 57453780664320 58890125180928 64635503247360 66251390828544 66668066242560 68944536797184 73612656476160 78520166907904 80001679491072 82814238535680 86180670996480 88335187771392 88890754990080 98150208634880 100002099363840 103416805195776 110418984714240 114907561328640 117780250361856 129271006494720 132502781657088 133336132485120 147225312952320 157040333815808 160003358982144 165628477071360 172361341992960 176670375542784 196300417269760 200004198727680 206833610391552 220837969428480 235560500723712 258542012989440 265005563314176 266672264970240 294450625904640 314080667631616 331256954142720 344722683985920 353340751085568 392600834539520 400008397455360 441675938856960 471121001447424 517084025978880 530011126628352 588901251809280 662513908285440 706681502171136 785201669079040 800016794910720 883351877713920 942242002894848 1034168051957760 1060022253256704 1177802503618560 1325027816570880 1413363004342272 1570403338158080 1766703755427840 2120044506513408 2355605007237120 2650055633141760 2826726008684544 3533407510855680 4240089013026816 4711210014474240 5300111266283520 7066815021711360 8480178026053632 10600222532567040 14133630043422720 21200445065134080 42400890130268160
- Sum of all divisors σ(n): 157443266342066400
- Sum of proper divisors (its aliquot sum) s(n): 115042376211798240
- 42400890130268160 is an abundant number, because the sum of its proper divisors (115042376211798240) is greater than itself. Its abundance is 72641486081530080
Bases of 42400890130268160
- Binary: 100101101010001101100010100010100110000000000000000000002
- Hexadecimal: 0x96A3628A600000
- Base-36: BLHV00P0QO0
Squares and roots of 42400890130268160
- 42400890130268160 squared (424008901302681602) is 1797835483839071862294593509785600
- 42400890130268160 cubed (424008901302681603) is 76229824822557984197673834612023223651712106496000
-
The
square root of 42400890130268160 is 205914764.2357588695 -
The
cube root of 42400890130268160 is 348705.1204152757
Scales and comparisons
How big is 42400890130268160?- 42,400,890,130,268,160 seconds is equal to 1,348,217,151 years, 30 weeks, 9 hours, 36 minutes.
-
To count from 1 to 42,400,890,130,268,160 would take you about four billion, forty-four million, six hundred fifty-one thousand, four 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 42400890130268160 cubic inches would be around 29058.8 feet tall.
Recreational maths with 42400890130268160
- 42400890130268160 backwards is 06186203109800424
- 42400890130268160 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42400890130268160's digits is 54
- 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 42400890130268160 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 42400890130268160 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/42400890130268160/
Chicago style:
Numbermatics. 2024. "Number 42400890130268160 - Facts about the integer". https://numbermatics.com/n/42400890130268160/
The information we have on file for 42400890130268160 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 42400890130268160, math, Factors of 42400890130268160, curriculum, school, college, exams, university, Prime factorization of 42400890130268160, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, four hundred trillion, eight hundred ninety billion, one hundred thirty million, two hundred sixty-eight thousand, one hundred sixty.