4181427664128

Names of 4181427664128

• Cardinal: 4181427664128 can be written as Four trillion, one hundred eighty-one billion, four hundred twenty-seven million, six hundred sixty-four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.181427664128 × 10¹²

Factors of 4181427664128

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 8656

Divisors of 4181427664128

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 29 32 33 34 36 39 44 48 51 52 54 58 64 66 68 72 78 87 88 96 99 102 104 108 116 117 128 132 136 143 144 153 156 174 176 187 192 198 204 208 216 221 232 234 256 261 264 272 286 288 297 306 312 319 348 351 352 374 377 384 396 408 416 429 432 442 459 464 468 493 522 528 544 561 572 576 594 612 624 638 663 696 702 704 748 754 768 783 792 816 832 858 864 884 918 928 936 957 986 1044 1056 1088 1122 1131 1144 1152 1188 1224 1248 1276 1287 1326 1392 1404 1408 1479 1496 1508 1566 1584 1632 1664 1683 1716 1728 1768 1836 1856 1872 1914 1972 1989 2088 2112 2176 2244 2262 2288 2304 2376 2431 2448 2496 2552 2574 2652 2784 2808 2816 2871 2958 2992 3016 3132 3168 3264 3328 3366 3393 3432 3456 3536 3672 3712 3744 3828 3861 3944 3978 4147 4176 4224 4352 4437 4488 4524 4576 4752 4862 4896 4992 5049 5104 5148 5304 5423 5568 5616 5742 5916 5967 5984 6032 6264 6336 6409 6528 6732 6786 6864 6912 7072 7293 7344 7424 7488 7656 7722 7888 7956 8294 8352 8448 8581 8613 8874 8976 9048 9152 9504 9724 9792 9984 10098 10179 10208 10296 10608 10846 11136 11232 11484 11832 11934 11968 12064 12441 12528 12672 12818 13056 13311 13464 13572 13728 14144 14586 14688 14976 15312 15444 15776 15912 16269 16588 16704 17162 17226 17748 17952 18096 18304 19008 19227 19448 19584 20196 20358 20416 20592 21216 21692 21879 22272 22464 22968 23664 23868 23936 24128 24882 25056 25344 25636 25743 26622 26928 27144 27456 28288 29172 29376 29952 30624 30888 31552 31824 32538 33176 33408 34324 34452 35496 35904 36192 36608 37323 38016 38454 38896 39168 40392 40716 40832 41184 42432 43384 43758 44928 45936 47328 47736 47872 48256 48807 49764 50112 51272 51486 53244 53856 54288 54912 56576 57681 58344 58752 61248 61776 63104 63648 65076 65637 66352 66816 68648 68904 70499 70992 71808 72384 74646 76032 76908 77229 77792 80784 81432 81664 82368 84864 86768 87516 89856 91872 94391 94656 95472 96512 97614 99528 100224 102544 102972 106488 107712 108576 109824 111553 111969 115362 116688 117504 122496 123552 126208 127296 130152 131274 132704 137296 137808 140998 141984 143616 144768 145877 146421 149292 153816 154458 155584 161568 162864 164736 169728 173043 173536 175032 183744 188782 189312 190944 195228 199056 200448 205088 205944 211497 212976 215424 217152 223106 223938 230724 231687 233376 244992 247104 248849 254592 260304 262548 265408 274592 275616 281996 283173 283968 289536 291754 292842 298584 307632 308916 311168 323136 325728 329472 334659 346086 347072 350064 367488 377564 378624 381888 390456 398112 410176 411888 422994 425952 430848 434304 437631 446212 447876 461448 463374 466752 494208 497698 509184 520608 525096 530816 549184 551232 563992 566346 567936 583508 585684 597168 615264 617832 622336 634491 646272 651456 669318 692172 694144 700128 734976 746547 755128 763776 780912 796224 820352 823776 845988 849519 851904 868608 875262 892424 895752 922896 926748 933504 988416 995396 1003977 1041216 1050192 1061632 1098368 1102464 1127984 1132692 1135872 1167016 1171368 1194336 1227083 1230528 1235664 1268982 1292544 1302912 1312893 1338636 1384344 1388288 1400256 1493094 1510256 1527552 1561824 1592448 1604647 1640704 1647552 1691976 1699038 1703808 1750524 1784848 1791504 1845792 1853496 1867008 1896401 1903473 1990792 2007954 2082432 2100384 2196736 2204928 2239641 2255968 2265384 2334032 2342736 2388672 2454166 2461056 2471328 2537964 2548557 2605824 2625786 2677272 2737339 2768688 2800512 2986188 3011931 3020512 3123648 3184896 3209294 3235037 3295104 3383952 3398076 3407616 3501048 3569696 3583008 3681249 3691584 3706992 3792802 3806946 3938679 3981584 4015908 4164864 4200768 4230433 4479282 4511936 4530768 4668064 4685472 4777344 4813941 4908332 4922112 4942656 5075928 5097114 5251572 5354544 5474678 5537376 5601024 5689203 5972376 6023862 6041024 6247296 6418588 6470074 6590208 6718923 6767904 6796152 7002096 7139392 7166016 7362498 7383168 7413984 7585604 7613892 7877358 7963168 8031816 8212017 8401536 8460866 8958564 9023872 9061536 9336128 9370944 9554688 9627882 9705111 9816664 9885312 10151856 10194228 10503144 10709088 10949356 11043747 11074752 11378406 11944752 12047724 12082048 12494592 12691299 12837176 12940148 13437846 13535808 13592304 14004192 14278784 14332032 14441823 14724996 14766336 14827968 15171208 15227784 15754716 15926336 16063632 16424034 16803072 16921732 17067609 17917128 18047744 18123072 18672256 18741888 19255764 19410222 19633328 19770624 20303712 20388456 20860411 21006288 21418176 21898712 22087494 22149504 22756812 23889504 24095448 24164096 24636051 25382598 25674352 25880296 26875692 27071616 27184608 28008384 28557568 28664064 28883646 29115333 29449992 29655936 30342416 30455568 31509432 31852672 32127264 32848068 33131241 33843464 34135218 35585407 35834256 36246144 37344512 37483776 38073897 38511528 38820444 39266656 40607424 40776912 41720822 42012576 42836352 43325469 43797424 44174988 44299008 45513624 46534763 47779008 48190896 49272102 50765196 51202827 51348704 51760592 53751384 54143232 54369216 54995629 56016768 57767292 58230666 58899984 59311872 60684832 60911136 62581233 63018864 63705344 64254528 65696136 66262482 67686928 68270436 71170814 71668512 72492288 73908153 76147794 77023056 77640888 78533312 81214848 81553824 83441644 84025152 85672704 86650938 87345999 87594848 88349976 91027248 93069526 95558016 96381792 98544204 101530392 102405654 102697408 103521184 106756221 107502768 108738432 109991258 112033536 114221691 115534584 116461332 117799968 121369664 121822272 125162466 126037728 128509056 131392272 132524964 135373856 136540872 139604289 142341628 143337024 147816306 152295588 154046112 155281776 157066624 162429696 163107648 164986887 166883288 168050304 173301876 174691998 175189696 176699952 182054496 186139052 187743699 191116032 192763584 197088408 203060784 204811308 205394816 207042368 213512442 215005536 217476864 219982516 228443382 231069168 232922664 235599936 242739328 243644544 250324932 252075456 257018112 262784544 265049928 270747712 273081744 279208578 284683256 286674048 295632612 304591176 308092224 310563552 314133248 320268663 326215296 329973774 333766576 336100608 346603752 349383996 350379392 353399904 364108992 372278104 375487398 385527168 394176816 406121568 409622616 410789632 414084736 418812867 427024884 430011072 439965032 456886764 462138336 465845328 471199872 485478656 487289088 494960661 500649864 504150912 525569088 530099856 541495424 546163488 558417156 563231097 569366512 573348096 591265224 604951919 609182352 616184448 621127104 640537326 652430592 659947548 667533152 693207504 698767992 700758784 706799808 728217984 744556208 750974796 771054336 788353632 812243136 819245232 828169472 837625734 854049768 860022144 879930064 913773528 924276672 931690656 942399744 960805989 989921322 1001299728 1008301824 1051138176 1060199712 1082990848 1092326976 1116834312 1126462194 1138733024 1182530448 1209903838 1218364704 1232368896 1242254208 1256438601 1281074652 1319895096 1335066304 1386415008 1397535984 1413599616 1456435968 1484881983 1489112416 1501949592 1576707264 1624486272 1638490464 1675251468 1708099536 1720044288 1759860128 1814855757 1827547056 1848553344 1863381312 1921611978 1979842644 2002599456 2102276352 2120399424 2184653952 2233668624 2252924388 2277466048 2365060896 2419807676 2436729408 2484508416 2512877202 2562149304 2639790192 2670132608 2772830016 2795071968 2827199232 2969763966 2978224832 3003899184 3153414528 3248972544 3276980928 3350502936 3416199072 3519720256 3629711514 3655094112 3697106688 3726762624 3843223956 3959685288 4005198912 4240798848 4369307904 4467337248 4505848776 4554932096 4730121792 4839615352 4873458816 5025754404 5124298608 5279580384 5340265216 5444567271 5545660032 5590143936 5939527932 5956449664 6007798368 6306829056 6553961856 6701005872 6832398144 7039440512 7259423028 7310188224 7453525248 7686447912 7919370576 8010397824 8481597696 8934674496 9011697552 9109864192 9460243584 9679230704 9746917632 10051508808 10248597216 10559160768 10889134542 11091320064 11180287872 11879055864 11912899328 12015596736 13107923712 13402011744 13664796288 14078881024 14518846056 14620376448 15372895824 15838741152 16020795648 16333701813 17869348992 18023395104 18920487168 19358461408 20103017616 20497194432 21118321536 21778269084 22360575744 23758111728 24031193472 26804023488 27329592576 29037692112 29240752896 30745791648 31677482304 32667403626 35738697984 36046790208 38716922816 40206035232 40994388864 42236643072 43556538168 47516223456 48062386944 53608046976 58075384224 61491583296 63354964608 65334807252 72093580416 77433845632 80412070464 81988777728 87113076336 95032446912 107216093952 116150768448 122983166592 126709929216 130669614504 144187160832 154867691264 160824140928 174226152672 190064893824 232301536896 245966333184 261339229008 321648281856 348452305344 380129787648 464603073792 522678458016 696904610688 1045356916032 1393809221376 2090713832064 4181427664128
• Sum of all divisors σ(n): 15913746777600
• Sum of proper divisors (its aliquot sum) s(n): 11732319113472
• 4181427664128 is an abundant number, because the sum of its proper divisors (11732319113472) is greater than itself. Its abundance is 7550891449344

Bases of 4181427664128

• Binary: 111100110110010000100000101011010100000000₂
• Hexadecimal: 0x3CD9082B500
• Base-36: 1HCX62IO0

Squares and roots of 4181427664128

• 4181427664128 squared (4181427664128²) is 17484337310334942378000384
• 4181427664128 cubed (4181427664128³) is 73109491718379876340939623284607025152
• The square root of 4181427664128 is 2044853.9468940073
• The cube root of 4181427664128 is 16110.4694634127

Scales and comparisons

• 4,181,427,664,128 seconds is equal to 132,956 years, 24 weeks, 1 day, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 4,181,427,664,128 would take you about three hundred thirty-two thousand, three hundred ninety-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 4181427664128 cubic inches would be around 1342.5 feet tall.

Recreational maths with 4181427664128

• 4181427664128 backwards is 8214667241814
• 4181427664128 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 4181427664128's digits is 54
• More coming soon!