42224948306688

Names of 42224948306688

• Cardinal: 42224948306688 can be written as Forty-two trillion, two hundred twenty-four billion, nine hundred forty-eight million, three hundred six thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 4.2224948306688 × 10¹³

Factors of 42224948306688

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 115

Divisors of 42224948306688

• Number of divisors d(n): 1458
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 41 42 43 48 49 56 57 64 76 82 84 86 96 98 112 114 123 128 129 133 147 152 164 168 172 192 196 224 228 246 256 258 266 287 294 301 304 328 336 344 361 384 392 399 448 456 492 516 532 574 588 602 608 656 672 688 722 768 779 784 798 817 861 896 903 912 931 984 1032 1064 1083 1148 1176 1204 1216 1312 1344 1376 1444 1558 1568 1596 1634 1681 1722 1763 1792 1806 1824 1849 1862 1968 2009 2064 2107 2128 2166 2296 2337 2352 2408 2432 2451 2527 2624 2688 2752 2793 2888 3116 3136 3192 3268 3362 3444 3526 3612 3648 3698 3724 3936 4018 4128 4214 4256 4332 4592 4674 4704 4816 4864 4902 5043 5054 5248 5289 5376 5453 5504 5547 5586 5719 5776 6027 6232 6272 6321 6384 6536 6724 6888 7052 7224 7296 7396 7448 7581 7872 8036 8256 8428 8512 8664 9184 9348 9408 9632 9804 10086 10108 10496 10578 10906 11008 11094 11172 11438 11552 11767 12054 12341 12464 12544 12642 12768 12943 13072 13448 13776 14104 14448 14592 14792 14801 14896 15162 15523 15744 16072 16359 16512 16856 17024 17157 17328 17689 18368 18696 18816 19264 19608 20172 20216 21156 21812 22188 22344 22876 23104 23534 24108 24682 24928 25284 25536 25886 26144 26896 27552 28208 28896 29584 29602 29792 30324 31046 31488 31939 32144 32718 33024 33497 33712 34048 34314 34656 35131 35301 35378 36736 37023 37392 37632 38171 38528 38829 39216 40033 40344 40432 42312 43624 44376 44403 44688 45752 46208 46569 47068 48216 49364 49856 50568 51072 51772 52288 53067 53792 55104 56416 57792 59168 59204 59584 60648 62092 63878 64288 65436 66994 67424 68628 69312 70262 70602 70756 72283 73472 74046 74784 75809 76342 77056 77658 78432 80066 80688 80864 82369 84624 86387 87248 88752 88806 89376 90601 91504 92416 93138 94136 95817 96432 98728 99712 100491 101136 102144 103544 103607 104576 105393 106134 107584 108661 110208 112832 114513 115584 118336 118408 119168 120099 121296 124184 127756 128576 130872 133988 134848 137256 138624 140524 141204 141512 144566 148092 149568 151618 152684 155316 156864 160132 161376 161728 164738 169248 172774 174496 177504 177612 178752 181202 183008 186276 188272 191634 192864 197456 199424 200982 202272 207088 207214 209152 210786 212268 215168 216849 217322 220416 223573 225664 227427 229026 231168 234479 236672 236816 238336 240198 242592 245917 247107 248368 255512 257152 259161 261744 267976 269696 271803 274512 277248 281048 282408 283024 289132 296184 299136 303236 305368 310632 310821 313728 320264 322752 323456 325983 329476 338496 345548 348992 355008 355224 357504 362404 366016 372552 376544 383268 385728 394912 401964 404544 414176 414428 421572 424536 430336 433698 434644 447146 451328 454854 458052 468958 473344 473632 480396 485184 491834 494214 496736 505981 511024 514304 518322 523488 530663 535952 539392 543606 549024 562096 564816 566048 578264 592368 598272 606472 606841 610736 621264 621642 627456 636443 640528 645504 646912 651966 658952 667489 670719 676992 691096 697984 703437 710016 710448 715008 724808 725249 732032 737751 745104 753088 760627 766536 771456 789824 803928 809088 828352 828856 843144 849072 867396 869288 894292 909708 916104 937916 947264 960792 970368 983668 988428 993472 1011962 1022048 1036644 1046976 1061326 1071904 1087212 1098048 1124192 1129632 1132096 1156528 1184736 1212944 1213682 1221472 1242528 1243284 1272886 1281056 1291008 1303932 1317904 1334978 1341438 1353984 1373377 1382192 1395968 1406874 1420032 1420896 1440371 1449616 1450498 1464064 1475502 1490208 1506176 1517943 1521254 1533072 1542912 1565011 1579648 1591989 1607856 1618176 1641353 1656704 1657712 1686288 1698144 1721419 1734792 1738576 1788584 1819416 1820523 1832208 1875832 1894528 1909329 1921584 1940736 1967336 1976856 1986944 2002467 2023924 2044096 2073288 2093952 2122652 2143808 2174424 2175747 2196096 2248384 2259264 2264192 2281881 2313056 2369472 2425888 2427364 2442944 2485056 2486568 2545772 2562112 2607864 2635808 2669956 2682876 2746754 2764384 2813748 2841792 2880742 2899232 2900996 2951004 2980416 3012352 3035886 3042508 3066144 3108169 3130022 3159296 3183978 3215712 3282706 3313408 3315424 3372576 3396288 3442838 3469584 3477152 3541867 3577168 3638832 3641046 3664416 3714641 3751664 3789056 3818658 3843168 3934672 3953712 3973888 4004934 4047848 4088192 4120131 4146576 4187904 4245304 4247887 4287616 4321113 4348848 4351494 4392192 4455101 4496768 4518528 4528384 4563762 4626112 4672423 4695033 4738944 4851776 4854728 4885888 4924059 4970112 4973136 5091544 5124224 5164257 5215728 5271616 5339912 5365752 5493508 5528768 5627496 5683584 5761484 5798464 5801992 5902008 5960832 6071772 6085016 6132288 6216338 6260044 6367956 6431424 6565412 6630848 6745152 6792576 6885676 6939168 6954304 7083734 7154336 7277664 7282092 7328832 7429282 7503328 7637316 7686336 7869344 7907424 8009868 8095696 8176384 8240262 8293152 8490608 8495774 8575232 8642226 8697696 8702988 8910202 8993536 9037056 9127524 9252224 9324507 9344846 9390066 9477888 9613639 9703552 9709456 9771776 9848118 9940224 9946272 10082597 10183088 10248448 10328514 10431456 10543232 10625601 10679824 10731504 10987016 11057536 11143923 11254992 11367168 11522968 11596928 11603984 11804016 11921664 12143544 12170032 12264576 12432676 12520088 12735912 12743661 12862848 13130824 13261696 13365303 13490304 13585152 13771352 13878336 13908608 14017269 14167468 14308672 14555328 14564184 14657664 14858564 15006656 15274632 15372672 15738688 15814848 16019736 16191392 16480524 16586304 16981216 16991548 17284452 17395392 17405976 17820404 18255048 18504448 18649014 18689692 18780132 19227278 19407104 19418912 19696236 19892544 20165194 20366176 20657028 20862912 21086464 21251202 21359648 21463008 21757183 21974032 22115072 22287846 22509984 23045936 23193856 23207968 23608032 24287088 24340064 24529152 24865352 25040176 25471824 25487322 25725696 26094163 26261648 26523392 26730606 26980608 27367049 27542704 27756672 27817216 28034538 28334936 28617344 28840917 29110656 29128368 29315328 29717128 29735209 30013312 30247791 30549264 30745344 31185707 31477376 31629696 32039472 32382784 32706961 32961048 33172608 33962432 33983096 34568904 34790784 34811952 35640808 36510096 37298028 37379384 37560264 38454556 38837824 39392472 39785088 40330388 40732352 41314056 41725824 42502404 42719296 42926016 43514366 43948064 44575692 45019968 46091872 46415936 47216064 48574176 48680128 49730704 50080352 50943648 50974644 52188326 52523296 53461212 54734098 55085408 55513344 56069076 56669872 57234688 57681834 58221312 58256736 59055211 59434256 59470418 60026624 60495582 61098528 62371414 62954752 63259392 64078944 64765568 65271549 65413922 65922096 66345216 67295473 67924864 67966192 69137808 69581568 69623904 70578179 71281616 73020192 74596056 74758768 75120528 76909112 77675648 78282489 78784944 79570176 80660776 81464704 82101147 82628112 83451648 85004808 85438592 85852032 87028732 87896128 89151384 89205627 90039936 92183744 92831872 93557121 94432128 97148352 97360256 98120883 99461408 100160704 101887296 101949288 104376652 105046592 106922424 109468196 110170816 112138152 113339744 115363668 116513472 118110422 118868512 118940836 120991164 122197056 124742828 128157888 129531136 130543098 130827844 131844192 134590946 135849728 135932384 138275616 139247808 141156358 142563232 146040384 149192112 149517536 150241056 152300281 153818224 155351296 156564978 157569888 161321552 162929408 164202294 165256224 170009616 170877184 171704064 174057464 175792256 177165633 178302768 178411254 180079872 182659141 184367488 185663744 187114242 188864256 191569343 194296704 194720512 196241766 198922816 200321408 201886419 203774592 203898576 208753304 210093184 211734537 213844848 218936392 220341632 224276304 226679488 230727336 233026944 236220844 237737024 237881672 241982328 244394112 249485656 256315776 261086196 261655688 263688384 269181892 271864768 276551232 278495616 282312716 285126464 292080768 298384224 299035072 300482112 304600562 307636448 313129956 315139776 322643104 328404588 330512448 340019232 348114928 351584512 354331266 356605536 356822508 365318282 368734976 374228484 383138686 388593408 392483532 397845632 400642816 403772838 407549184 407797152 413386477 417506608 420186368 423469074 427689696 437872784 440683264 448552608 453358976 456900843 461454672 466053888 472441688 475474048 475763344 483964656 488788224 498971312 512631552 522172392 523311376 527376768 538363784 543729536 547977423 553102464 556991232 564625432 570252928 574708029 584161536 596768448 598070144 600964224 609201124 615272896 626259912 630279552 645286208 656809176 661024896 680038464 696229856 708662532 713211072 713645016 730636564 748456968 766277372 784967064 795691264 807545676 815594304 826772954 835013216 846938148 855379392 875745568 897105216 906717952 913801686 922909344 944883376 950948096 951526688 967929312 997942624 1044344784 1046622752 1054753536 1076727568 1087459072 1095954846 1106204928 1122049009 1129250864 1140505856 1149416058 1193536896 1196140288 1201928448 1218402248 1230545792 1240159431 1252519824 1260559104 1278613987 1290572416 1313618352 1322049792 1340985401 1360076928 1392459712 1417325064 1426422144 1427290032 1461273128 1496913936 1532554744 1569934128 1615091352 1631188608 1653545908 1670026432 1693876296 1710758784 1751491136 1794210432 1827603372 1845818688 1889766752 1903053376 1935858624 1995885248 2088689568 2093245504 2153455136 2191909692 2244098018 2258501728 2298832116 2387073792 2436804496 2461091584 2480318862 2505039648 2557227974 2581144832 2627236704 2681970802 2720153856 2784919424 2834650128 2852844288 2854580064 2893705339 2922546256 2993827872 3065109488 3139868256 3230182704 3262377216 3307091816 3340052864 3366147027 3387752592 3421517568 3502982272 3588420864 3655206744 3691637376 3779533504 3806106752 3835841961 3871717248 3991770496 4022956203 4177379136 4186491008 4306910272 4383819384 4488196036 4517003456 4597664232 4873608992 4960637724 5010079296 5114455948 5254473408 5363941604 5569838848 5669300256 5709160128 5787410678 5845092512 5987655744 6130218976 6279736512 6460365408 6614183632 6680105728 6732294054 6775505184 7005964544 7310413488 7383274752 7559067008 7612213504 7671683922 7743434496 7854343063 7983540992 8045912406 8354758272 8372982016 8613820544 8681116017 8767638768 8976392072 9034006912 9195328464 9747217984 9921275448 10020158592 10228911896 10508946816 10727883208 11338600512 11418320256 11574821356 11690185024 11975311488 12260437952 12559473024 12920730816 13228367264 13464588108 13551010368 14620826976 15118134016 15343367844 15708686126 16091824812 16709516544 17227641088 17362232034 17535277536 17952784144 18068013824 18390656928 19494435968 19842550896 20040317184 20457823792 21017893632 21455766416 22677201024 22836640512 23149642712 23380370048 23563029189 23950622976 24520875904 25118946048 25841461632 26456734528 26929176216 27102020736 29241653952 30686735688 31417372252 32183649624 34724464068 35070555072 35905568288 36781313856 38988871936 39685101792 40915647584 42911532832 45354402048 46299285424 46760740096 47126058378 49041751808 51682923264 52913469056 53858352432 54204041472 54980401441 58483307904 61373471376 62834744504 64367299248 69448928136 70141110144 71811136576 73562627712 79370203584 81831295168 85823065664 92598570848 94252116756 105826938112 107716704864 109960802882 116966615808 122746942752 125669489008 128734598496 138897856272 140282220288 143622273152 147125255424 158740407168 163662590336 164941204323 171646131328 185197141696 188504233512 215433409728 219921605764 245493885504 251338978016 257469196992 277795712544 287244546304 317480814336 327325180672 329882408646 343292262656 370394283392 377008467024 430866819456 439843211528 490987771008 502677956032 514938393984 555591425088 659764817292 740788566784 754016934048 861733638912 879686423056 981975542016 1005355912064 1029876787968 1111182850176 1319529634584 1508033868096 1759372846112 2010711824128 2222365700352 2639059269168 3016067736192 3518745692224 5278118538336 6032135472384 7037491384448 10556237076672 14074982768896 21112474153344 42224948306688
• Sum of all divisors σ(n): 144782680949172
• Sum of proper divisors (its aliquot sum) s(n): 102557732642484
• 42224948306688 is an abundant number, because the sum of its proper divisors (102557732642484) is greater than itself. Its abundance is 60332784335796

Bases of 42224948306688

• Binary: 1001100110011101000011000010110110001100000000₂
• Hexadecimal: 0x2667430B6300
• Base-36: EYTVG07PC

Squares and roots of 42224948306688

• 42224948306688 squared (42224948306688²) is 1782946259502473798505529344
• 42224948306688 cubed (42224948306688³) is 75284813641094684447553138578937895452672
• The square root of 42224948306688 is 6498072.6609270845
• The cube root of 42224948306688 is 34822.2136290669

Scales and comparisons

• 42,224,948,306,688 seconds is equal to 1,342,622 years, 38 weeks, 5 days, 11 hours, 24 minutes, 48 seconds.
• To count from 1 to 42,224,948,306,688 would take you about three million, three hundred fifty-six thousand, five hundred fifty-six 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 42224948306688 cubic inches would be around 2901.9 feet tall.

Recreational maths with 42224948306688

• 42224948306688 backwards is 88660384942224
• The number of decimal digits it has is: 14
• The sum of 42224948306688's digits is 66
• More coming soon!