12834947009521728

Names of 12834947009521728

• Cardinal: 12834947009521728 can be written as Twelve quadrillion, eight hundred thirty-four trillion, nine hundred forty-seven billion, nine million, five hundred twenty-one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.2834947009521728 × 10¹⁶

Factors of 12834947009521728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 21085695

Divisors of 12834947009521728

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 79 84 91 96 98 104 108 112 117 126 144 147 156 158 168 182 189 192 196 208 216 224 234 237 252 273 288 294 312 316 336 343 351 364 378 392 416 432 441 448 468 474 504 546 553 576 588 624 632 637 672 686 702 711 728 756 784 819 832 864 882 936 948 1008 1027 1029 1092 1106 1176 1248 1264 1274 1323 1344 1372 1404 1422 1456 1512 1568 1638 1659 1728 1764 1872 1896 1911 2016 2054 2058 2133 2184 2212 2352 2457 2496 2528 2548 2646 2744 2808 2844 2912 3024 3081 3087 3136 3276 3318 3528 3744 3792 3822 3871 4032 4108 4116 4266 4368 4424 4459 4704 4914 4977 5056 5096 5292 5488 5616 5688 5733 5824 6048 6162 6174 6552 6636 7056 7189 7488 7584 7644 7742 8216 8232 8532 8736 8848 8918 9243 9261 9408 9828 9954 10192 10584 10976 11232 11376 11466 11613 12096 12324 12348 13104 13272 13377 14112 14378 14931 15168 15288 15484 16432 16464 17064 17199 17472 17696 17836 18486 18522 19656 19908 20384 21168 21567 21952 22464 22752 22932 23226 24648 24696 26208 26544 26754 27097 27729 28224 28756 29862 30576 30968 32864 32928 34128 34398 34839 35392 35672 36972 37044 39312 39816 40131 40768 42336 43134 45504 45864 46452 49296 49392 50323 52416 53088 53508 54194 55458 57512 59724 61152 61936 64701 65728 65856 68256 68796 69678 71344 73944 74088 78624 79632 80262 81291 84672 86268 91728 92904 98592 98784 100646 104517 106176 107016 108388 110916 115024 119448 120393 122304 123872 129402 136512 137592 139356 142688 147888 148176 150969 157248 159264 160524 162582 172536 183456 185808 194103 197184 197568 201292 209034 214032 216776 221832 230048 238896 240786 243873 247744 258804 275184 278712 285376 295776 296352 301938 318528 321048 325164 345072 352261 366912 371616 388206 402584 418068 428064 433552 443664 452907 460096 477792 481572 487746 517608 550368 557424 591552 592704 603876 642096 650328 690144 704522 731619 743232 776412 805168 836136 856128 867104 887328 905814 955584 963144 975492 1035216 1056783 1100736 1114848 1207752 1284192 1300656 1358721 1380288 1409044 1463238 1552824 1610336 1672272 1734208 1774656 1811628 1926288 1950984 2070432 2113566 2229696 2415504 2568384 2601312 2717442 2818088 2926476 3105648 3170349 3220672 3344544 3623256 3852576 3901968 4140864 4227132 4831008 5202624 5434884 5636176 5852952 6211296 6340698 6689088 7246512 7705152 7803936 8454264 9511047 9662016 10869768 11272352 11705904 12422592 12681396 14493024 15607872 16908528 19022094 21085591 21739536 22544704 23411808 25362792 28986048 33817056 38044188 42171182 43479072 46823616 50725584 63256773 67634112 76088376 84342364 86958144 101451168 126513546 147599137 152176752 168684728 189770319 202902336 253027092 274112683 295198274 304353504 337369456 379540638 442797411 506054184 548225366 569310957 590396548 608707008 674738912 759081276 822338049 885594822 1012108368 1033193959 1096450732 1138621914 1180793096 1328392233 1349477824 1518162552 1644676098 1665761689 1771189644 1918788781 2024216736 2066387918 2192901464 2277243828 2361586192 2467014147 2656784466 3036325104 3099581877 3289352196 3331523378 3542379288 3837577562 3985176699 4048433472 4132775836 4385802928 4554487656 4723172384 4934028294 4997285067 5313568932 5756366343 6072650208 6199163754 6578704392 6663046756 7084758576 7232357713 7401042441 7675155124 7970353398 8265551672 8771605856 9108975312 9298745631 9446344768 9868056588 9994570134 10627137864 11512732686 11660331823 12145300416 12398327508 13157408784 13326093512 13431521467 14169517152 14464715426 14802084882 14991855201 15350310248 15940706796 16531103344 17269099029 17543211712 18217950624 18597491262 19736113176 19989140268 21254275728 21654901957 21697073139 23025465372 23320663646 24796655016 26314817568 26652187024 26863042934 27896236893 28339034304 28929430852 29604169764 29983710402 30700620496 31881413592 33062206688 34538198058 34980995469 36435901248 37194982524 39472226352 39978280536 40294564401 42508551456 43309803914 43394146278 44975565603 46050930744 46641327292 49593310032 51807297087 52629635136 53304374048 53726085868 55792473786 57858861704 59208339528 59967420804 61401240992 63762827184 64964705871 65091219417 66124413376 69076396116 69961990938 74389965048 78944452704 79956561072 80589128802 81622322761 85017102912 86619607828 86788292556 89951131206 92101861488 93282654584 94020650269 99186620064 103614594174 104942986407 106608748096 107452171736 111584947572 115717723408 118416679056 119934841608 120883693203 122802481984 127525654368 129929411742 130182438834 138152792232 139923981876 148779930096 151584313699 157888905408 159913122144 161178257604 163244645522 173239215656 173576585112 179902262412 184203722976 186565309168 188041300538 194894117613 195273658251 198373240128 207229188348 209885972814 214904343472 223169895144 231435446816 236833358112 239869683216 241767386406 244866968283 255051308736 259858823484 260364877668 276305584464 279847963752 282061950807 297559860192 303168627398 314828959221 319826244288 322356515208 326489291044 346478431312 347153170224 359804524824 362651079609 368407445952 373130618336 376082601076 389788235226 390547316502 414458376696 419771945628 429808686944 446339790288 454752941097 462870893632 473666716224 479739366432 483534772812 489733936566 519717646968 520729755336 552611168928 559695927504 564123901614 571356259327 584682352839 595119720384 606337254796 629657918442 644713030416 652978582088 692956862624 694306340448 719609049648 725302159218 734600904849 746261236672 752165202152 779576470452 781094633004 828916753392 839543891256 846185852421 859617373888 892679580576 909505882194 959478732864 967069545624 979467873132 1039435293936 1041459510672 1061090195893 1105222337856 1119391855008 1128247803228 1142712518654 1169364705678 1212674509592 1259315836884 1289426060832 1305957164176 1364258823291 1385913725248 1388612680896 1439218099296 1450604318436 1469201809698 1504330404304 1559152940904 1562189266008 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10074526695072 10154230229052 10284412667886 10914070586328 11604834547488 11753614477584 12473223527232 12497514128064 12733082350716 13538973638736 13712550223848 14552094115104 14855262742502 15426619001829 15671485970112 16371105879492 16977443134288 17630421716376 18051964851648 18283400298464 18709835290848 19099623526074 20149053390144 20308460458104 20568825335772 21828141172656 22282894113753 23209669094976 23507228955168 25466164701432 27077947277472 27425100447696 28649435289111 29104188230208 29710525485004 30853238003658 32742211758984 33954886268576 35260843432752 36566800596928 37419670581696 38199247052148 40616920916208 41137650671544 43656282345312 44565788227506 47014457910336 50932329402864 54155894554944 54850200895392 57298870578222 59421050970008 61706476007316 65484423517968 66848682341259 67909772537152 70521686865504 76398494104296 81233841832416 82275301343088 87312564690624 89131576455012 101864658805728 109700401790784 114597741156444 118842101940016 123412952014632 130968847035936 133697364682518 141043373731008 152796988208592 162467683664832 164550602686176 178263152910024 200546047023777 203729317611456 229195482312888 237684203880032 246825904029264 261937694071872 267394729365036 305593976417184 329101205372352 356526305820048 401092094047554 458390964625776 475368407760064 493651808058528 534789458730072 611187952834368 713052611640096 802184188095108 916781929251552 987303616117056 1069578917460144 1426105223280192 1604368376190216 1833563858503104 2139157834920288 3208736752380432 4278315669840576 6417473504760864 12834947009521728
• Sum of all divisors σ(n): 47987433697280000
• Sum of proper divisors (its aliquot sum) s(n): 35152486687758272
• 12834947009521728 is an abundant number, because the sum of its proper divisors (35152486687758272) is greater than itself. Its abundance is 22317539678236544

Bases of 12834947009521728

• Binary: 101101100110010101000011111001001101101010100001000000₂
• Hexadecimal: 0x2D9950F936A840
• Base-36: 3IDLX98YHC0

Squares and roots of 12834947009521728

• 12834947009521728 squared (12834947009521728²) is 164735864737230748547495304105984
• 12834947009521728 cubed (12834947009521728³) is 2114376094470095680250131871854832389822462820352
• The square root of 12834947009521728 is 113291425.1367760313
• The cube root of 12834947009521728 is 234134.1124311269

Scales and comparisons

• 12,834,947,009,521,728 seconds is equal to 408,111,613 years, 41 weeks, 6 days, 28 minutes, 48 seconds.
• To count from 1 to 12,834,947,009,521,728 would take you about one billion, two hundred twenty-four million, three hundred thirty-four thousand, eight 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 12834947009521728 cubic inches would be around 19511.2 feet tall.

Recreational maths with 12834947009521728

• 12834947009521728 backwards is 82712590074943821
• 12834947009521728 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12834947009521728's digits is 72
• More coming soon!