421688726126854144

Names of 421688726126854144

• Cardinal: 421688726126854144 can be written as Four hundred twenty-one quadrillion, six hundred eighty-eight trillion, seven hundred twenty-six billion, one hundred twenty-six million, eight hundred fifty-four thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 4.21688726126854144 × 10¹⁷

Factors of 421688726126854144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 1290

Divisors of 421688726126854144

• Number of divisors d(n): 912
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 41 53 56 64 82 106 112 128 164 212 224 256 287 328 371 424 448 512 574 656 742 848 896 1024 1148 1187 1312 1484 1681 1696 1792 2048 2173 2296 2374 2624 2809 2968 3362 3392 3584 4096 4346 4592 4748 5248 5618 5936 6724 6784 7168 8192 8309 8692 9184 9496 10496 11236 11767 11872 13448 13568 14336 15211 16384 16618 17384 18368 18992 19663 20992 22472 23534 23744 26896 27136 28672 30422 32768 33236 34768 36736 37984 39326 41984 44944 47068 47488 48667 53792 54272 57344 60844 62911 65536 66472 68921 69536 73472 75968 78652 83968 89093 89888 94136 94976 97334 107584 108544 114688 115169 121688 125822 131072 132944 137842 139072 146944 151936 157304 167936 178186 179776 188272 189952 194668 215168 217088 229376 230338 243376 251644 262144 265888 275684 278144 293888 303872 314608 335872 340669 356372 359552 376544 379904 389336 430336 434176 440377 458752 460676 482447 486752 503288 531776 551368 556288 587776 607744 623651 629216 671744 681338 712744 719104 753088 759808 778672 806183 860672 868352 880754 917504 921352 964894 973504 1006576 1063552 1102736 1112576 1175552 1215488 1247302 1258432 1343488 1362676 1425488 1438208 1506176 1519616 1557344 1612366 1721344 1736704 1761508 1835008 1842704 1929788 1947008 1995347 2013152 2127104 2205472 2225152 2351104 2430976 2494604 2516864 2579351 2686976 2725352 2850976 2876416 3012352 3039232 3114688 3224732 3334283 3442688 3473408 3523016 3652813 3685408 3859576 3894016 3990694 4026304 4254208 4410944 4450304 4702208 4721929 4861952 4989208 5033728 5158702 5373952 5450704 5701952 5752832 6024704 6078464 6229376 6449464 6668566 6885376 6946816 7046032 7305626 7370816 7719152 7788032 7981388 8052608 8508416 8821888 8900608 9404416 9443858 9723904 9978416 10067456 10317404 10747904 10901408 11403904 11505664 12049408 12156928 12458752 12898928 13337132 13770752 13893632 13967429 14092064 14611252 14741632 15438304 15576064 15962776 16105216 17016832 17643776 17801216 18055457 18808832 18887716 19447808 19956832 20134912 20634808 21802816 22807808 23011328 23339981 24098816 24313856 24917504 25569691 25797856 26674264 27541504 27934858 28184128 29222504 29483264 30876608 31152128 31925552 32210432 33053503 34033664 35287552 35602432 36110914 37617664 37775432 38895616 39913664 40269824 41269616 43605632 45615616 46022656 46679962 48197632 48627712 49835008 51139382 51595712 53348528 55083008 55869716 56368256 58445008 58966528 61753216 62304256 63851104 64420864 66107006 68067328 70575104 71204864 72221828 75235328 75550864 77791232 79827328 80539648 81809227 82539232 87211264 91231232 92045312 93359924 96395264 97255424 99670016 102278764 103191424 105753391 106697056 110166016 111739432 112736512 116890016 117933056 123506432 124608512 127702208 128841728 132214012 136134656 136705603 141150208 142409728 144443656 151101728 155582464 159654656 161079296 163618454 165078464 174422528 182462464 184090624 186719848 192790528 193599089 199340032 204557528 206382848 211506782 213394112 220332032 223478864 225473024 233780032 235866112 247012864 249217024 255404416 257683456 264428024 272269312 273411206 282300416 284819456 288887312 302203456 311164928 319309312 322158592 327236908 330156928 348845056 364924928 368181248 373439696 385581056 387198178 398680064 409115056 412765696 423013564 426788224 440664064 446957728 450946048 467560064 471732224 494025728 498434048 510808832 515366912 528856048 544538624 546822412 564600832 569638912 572664589 577774624 604406912 638618624 644317184 654473816 660313856 697690112 729849856 736362496 740273737 746879392 771162112 774396356 797360128 818230112 825531392 846027128 853576448 893915456 901892096 935120128 943464448 956939221 988051456 996868096 1021617664 1030733824 1057712096 1089077248 1093644824 1129201664 1145329178 1155549248 1208813824 1277237248 1288634368 1308947632 1320627712 1355193623 1395380224 1459699712 1480547474 1493758784 1542324224 1548792712 1594720256 1636460224 1651062784 1692054256 1707152896 1787830912 1803784192 1870240256 1886928896 1913878442 1976102912 1993736192 2043235328 2061467648 2115424192 2178154496 2187289648 2258403328 2290658356 2311098496 2417627648 2554474496 2577268736 2617895264 2641255424 2710387246 2790760448 2919399424 2961094948 2987517568 3084648448 3097585424 3189440512 3272920448 3302125568 3384108512 3414305792 3575661824 3607568384 3740480512 3773857792 3827756884 3952205824 3987472384 4086470656 4122935296 4230848384 4335889031 4374579296 4516806656 4581316712 4622196992 4835255296 5108948992 5154537472 5235790528 5282510848 5420774492 5581520896 5604929723 5838798848 5922189896 5975035136 6195170848 6378881024 6545840896 6604251136 6768217024 6828611584 7151323648 7215136768 7480961024 7547715584 7655513768 7904411648 8172941312 8245870592 8461696768 8671778062 8749158592 9033613312 9162633424 9244393984 9670510592 10217897984 10471581056 10565021696 10841548984 11163041792 11209859446 11677597696 11844379792 11950070272 12390341696 12757762048 13091681792 13208502272 13536434048 13657223168 14302647296 14430273536 14961922048 15095431168 15311027536 15808823296 16345882624 16491741184 16923393536 17343556124 17498317184 18067226624 18325266848 18488787968 19341021184 20435795968 20943162112 21130043392 21683097968 22326083584 22419718892 23355195392 23688759584 23900140544 24780683392 26183363584 26417004544 27072868096 27314446336 28605294592 28860547072 29923844096 30190862336 30351223217 30622055072 31617646592 32691765248 33846787072 34687112248 34996634368 36650533696 36977575936 38682042368 39234508061 40871591936 41886324224 42260086784 43366195936 44652167168 44839437784 47377519168 47800281088 49561366784 52366727168 52834009088 54145736192 54628892672 57210589184 57721094144 59847688192 60702446434 61244110144 63235293184 65383530496 67693574144 69374224496 69993268736 73301067392 73955151872 77364084736 78469016122 81743183872 83772648448 84520173568 86732391872 89304334336 89678875568 94755038336 95600562176 99122733568 104733454336 105668018176 108291472384 109257785344 114421178368 115442188288 119695376384 121404892868 122488220288 126470586368 130767060992 135387148288 138748448992 139986537472 146602134784 147910303744 154728169472 156938032244 163486367744 167545296896 169040347136 173464783744 179357751136 189510076672 191201124352 198245467136 209466908672 211336036352 216582944768 218515570688 228842356736 229802118643 239390752768 242809785736 244976440576 261534121984 270774296576 277496897984 279973074944 293204269568 295820607488 309456338944 313876064488 335090593792 338080694272 346929567488 358715502272 379020153344 382402248704 396490934272 418933817344 433165889536 437031141376 457684713472 459604237286 478781505536 485619571472 489952881152 523068243968 541548593152 554993795968 559946149888 586408539136 591641214976 618912677888 627752128976 670181187584 676161388544 693859134976 717431004544 758040306688 764804497408 792981868544 837867634688 866331779072 874062282752 915369426944 919208474572 957563011072 971239142944 979905762304 1083097186304 1109987591936 1119892299776 1172817078272 1183282429952 1237825355776 1255504257952 1340362375168 1387718269952 1434862009088 1516080613376 1529608994816 1585963737088 1608614830501 1675735269376 1732663558144 1830738853888 1838416949144 1942478285888 1959811524608 2166194372608 2219975183872 2239784599552 2345634156544 2366564859904 2511008515904 2680724750336 2775436539904 2869724018176 3032161226752 3059217989632 3171927474176 3217229661002 3351470538752 3465327116288 3661477707776 3676833898288 3884956571776 3919623049216 4332388745216 4439950367744 4479569199104 4691268313088 4733129719808 5022017031808 5361449500672 5550873079808 5739448036352 6064322453504 6118435979264 6343854948352 6434459322004 6702941077504 6930654232576 7353667796576 7769913143552 7839246098432 8664777490432 8879900735488 8959138398208 9382536626176 10044034063616 10722899001344 11101746159616 11478896072704 12128644907008 12687709896704 12868918644008 13861308465152 14707335593152 15539826287104 15678492196864 17759801470976 17918276796416 18765073252352 20088068127232 21445798002688 22203492319232 22957792145408 24257289814016 25375419793408 25737837288016 27722616930304 29414671186304 31079652574208 31356984393728 35519602941952 35836553592832 37530146504704 40176136254464 44406984638464 45915584290816 48514579628032 50750839586816 51475674576032 58829342372608 62159305148416 62713968787456 71039205883904 75060293009408 80352272508928 88813969276928 91831168581632 97029159256064 102951349152064 117658684745216 124318610296832 125427937574912 142078411767808 150120586018816 160704545017856 177627938553856 183662337163264 194058318512128 205902698304128 235317369490432 248637220593664 250855875149824 284156823535616 321409090035712 355255877107712 367324674326528 411805396608256 470634738980864 497274441187328 568313647071232 642818180071424 734649348653056 823610793216512 941269477961728 994548882374656 1136627294142464 1285636360142848 1469298697306112 1647221586433024 1882538955923456 1989097764749312 2571272720285696 3294443172866048 3765077911846912 3978195529498624 5142545440571392 6588886345732096 7530155823693824 7956391058997248 10285090881142784 13177772691464192 15060311647387648 26355545382928384 30120623294775296 52711090765856768 60241246589550592 105422181531713536 210844363063427072 421688726126854144
• Sum of all divisors σ(n): 1007794878018800256
• Sum of proper divisors (its aliquot sum) s(n): 586106151891946112
• 421688726126854144 is an abundant number, because the sum of its proper divisors (586106151891946112) is greater than itself. Its abundance is 164417425765091968

Bases of 421688726126854144

• Binary: 10111011010001000111010100110000110100101000000000000000000₂
• Hexadecimal: 0x5DA23A986940000
• Base-36: 37C46EFJNZ0G

Squares and roots of 421688726126854144

• 421688726126854144 squared (421688726126854144²) is 177821381742489000758453061849972736
• 421688726126854144 cubed (421688726126854144³) is 74985271945107225964685776002943120103731683848617984
• The square root of 421688726126854144 is 649375643.3119848267
• The cube root of 421688726126854144 is 749889.5992322717

Scales and comparisons

• 421,688,726,126,854,144 seconds is equal to 13,408,397,121 years, 50 weeks, 3 hours, 29 minutes, 4 seconds.
• To count from 1 to 421,688,726,126,854,144 would take you about forty billion, two hundred twenty-five million, one hundred ninety-one thousand, three hundred sixty-five 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 421688726126854144 cubic inches would be around 62490.8 feet tall.

Recreational maths with 421688726126854144

• 421688726126854144 backwards is 441458621627886124
• The number of decimal digits it has is: 18
• The sum of 421688726126854144's digits is 79
• More coming soon!