13835734336512

Names of 13835734336512

• Cardinal: 13835734336512 can be written as Thirteen trillion, eight hundred thirty-five billion, seven hundred thirty-four million, three hundred thirty-six thousand, five hundred twelve.

Scientific notation

• Scientific notation: 1.3835734336512 × 10¹³

Factors of 13835734336512

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 677

Divisors of 13835734336512

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 61 64 66 72 88 96 99 108 121 122 128 132 144 151 176 183 192 198 216 242 244 256 264 288 297 302 352 363 366 384 396 432 449 453 484 488 512 528 549 576 594 604 671 704 726 732 768 792 864 898 906 968 976 1024 1056 1089 1098 1152 1188 1208 1342 1347 1359 1408 1452 1464 1536 1584 1647 1661 1728 1796 1812 1936 1952 2013 2112 2178 2196 2304 2376 2416 2684 2694 2718 2816 2904 2928 3072 3168 3267 3294 3322 3456 3592 3624 3872 3904 4026 4041 4077 4224 4356 4392 4608 4752 4832 4939 4983 5368 5388 5436 5632 5808 5856 6039 6336 6534 6588 6644 6912 7184 7248 7381 7744 7808 8052 8082 8154 8448 8712 8784 9211 9216 9504 9664 9878 9966 10736 10776 10872 11264 11616 11712 12078 12123 12672 13068 13176 13288 13824 14368 14496 14762 14817 14949 15488 15616 16104 16164 16308 16896 17424 17568 18117 18271 18422 19008 19328 19756 19932 21472 21552 21744 22143 23232 23424 24156 24246 25344 26136 26352 26576 27389 27633 27648 28736 28992 29524 29634 29898 30976 31232 32208 32328 32616 33792 34848 35136 36234 36542 36844 38016 38656 39512 39864 42944 43104 43488 44286 44451 44847 46464 46848 48312 48492 50688 52272 52704 53152 54329 54778 54813 55266 57472 57984 59048 59268 59796 61952 62464 64416 64656 65232 66429 67799 69696 70272 72468 73084 73688 76032 77312 79024 79728 82167 82899 85888 86208 86976 88572 88902 89694 92928 93696 96624 96984 101321 101376 104544 105408 106304 108658 109556 109626 110532 114944 115968 118096 118536 119592 123904 128832 129312 130464 132858 133353 135598 139392 140544 144936 146168 147376 152064 154624 158048 159456 162987 164334 164439 165798 171776 172416 173952 177144 177804 179388 185856 187392 193248 193968 199287 202642 203397 209088 210816 212608 217316 219112 219252 221064 229888 231936 236192 237072 239184 246501 248697 257664 258624 260928 265716 266706 271196 278784 281088 289872 292336 294752 301279 303963 304128 316096 318912 325974 328668 328878 331596 343552 344832 347904 354288 355608 358776 371712 386496 387936 398574 405284 406794 418176 421632 425216 434632 438224 438504 442128 459776 463872 472384 474144 478368 488961 493002 493317 497394 515328 517248 521856 531432 533412 542392 557568 562176 579744 584672 589504 602558 607926 610191 632192 637824 651948 657336 657756 663192 687104 689664 695808 708576 711216 717552 739503 745789 772992 775872 797148 810568 813588 836352 843264 850432 869264 876448 877008 884256 903837 911889 944768 948288 956736 977922 986004 986634 994788 1030656 1034496 1043712 1062864 1066824 1084784 1114531 1115136 1159488 1169344 1179008 1205116 1215852 1220382 1264384 1275648 1303896 1314672 1315512 1326384 1379328 1391616 1417152 1422432 1435104 1466883 1479006 1491578 1545984 1551744 1594296 1621136 1627176 1672704 1686528 1700864 1738528 1752896 1754016 1768512 1807674 1823778 1830573 1889536 1896576 1913472 1955844 1972008 1973268 1989576 2061312 2068992 2087424 2125728 2133648 2169568 2229062 2237367 2318976 2338688 2358016 2410232 2431704 2440764 2528768 2551296 2607792 2629344 2631024 2652768 2711511 2735667 2834304 2844864 2870208 2933766 2958012 2983156 3091968 3103488 3188592 3242272 3254352 3314069 3343593 3345408 3477056 3505792 3508032 3537024 3615348 3647556 3661146 3779072 3793152 3826944 3911688 3944016 3946536 3979152 4135739 4137984 4174848 4251456 4267296 4339136 4458124 4474734 4637952 4677376 4716032 4820464 4863408 4881528 5057536 5102592 5215584 5258688 5262048 5305536 5423022 5471334 5668608 5689728 5740416 5867532 5916024 5966312 6183936 6206976 6377184 6484544 6508704 6628138 6687186 6712101 6954112 7011584 7016064 7074048 7230696 7295112 7322292 7558144 7586304 7653888 7823376 7888032 7893072 7958304 8134533 8203679 8271478 8502912 8534592 8678272 8916248 8949468 9275904 9354752 9432064 9640928 9726816 9763056 9942207 10030779 10431168 10517376 10524096 10611072 10846044 10942668 11337216 11379456 11480832 11735064 11832048 11932624 12407217 12413952 12754368 12969088 13017408 13256276 13374372 13424202 13908224 14023168 14032128 14148096 14461392 14590224 14644584 15172608 15307776 15646752 15776064 15786144 15916608 16269066 16407358 16542956 17005824 17069184 17356544 17832496 17898936 18551808 18709504 19281856 19453632 19526112 19884414 20061558 20136303 20862336 21034752 21048192 21222144 21692088 21885336 22674432 22758912 22961664 23470128 23664096 23865248 24611037 24814434 25508736 25938176 26034816 26512552 26748744 26848404 27816448 28046336 28064256 28296192 28922784 29180448 29289168 29826621 30092337 31293504 31552128 31572288 31833216 32538132 32814716 33085912 34011648 34138368 34713088 35664992 35797872 37221651 38563712 38907264 39052224 39768828 40123116 40272606 41724672 42069504 42096384 42444288 43384176 43770672 45493129 45517824 45923328 46940256 47328192 47730496 49222074 49628868 51017472 51876352 52069632 53025104 53497488 53696808 55632896 56128512 57845568 58360896 58578336 59653242 60184674 62587008 63104256 63144576 63666432 65076264 65629432 66171824 68023296 68276736 69426176 71329984 71595744 73833111 74443302 77127424 77814528 78104448 79537656 80246232 80545212 83449344 84139008 84192768 84888576 86768352 87541344 89479863 90986258 93880512 94656384 95460992 98444148 99257736 102034944 103752704 104139264 106050208 106994976 107393616 111664953 115691136 116721792 117156672 119306484 120369348 125174016 126208512 126289152 127332864 130152528 131258864 132343648 136479387 136553472 142659968 143191488 147666222 148886604 154254848 155629056 156208896 159075312 160492464 161090424 166898688 168385536 173536704 175082688 178959726 181972516 187761024 189312768 190921984 196888296 198515472 204069888 208278528 212100416 213989952 214787232 221499333 223329906 231382272 233443584 234313344 238612968 240738696 250348032 252417024 252578304 254665728 260305056 262517728 264687296 272958774 285319936 286382976 295332444 297773208 308509696 311258112 312417792 318150624 320984928 322180848 347073408 350165376 357919452 363945032 375522048 378625536 381843968 393776592 397030944 409438161 424200832 427979904 429574464 442998666 446659812 462764544 466887168 468626688 477225936 481477392 500424419 500696064 505156608 520610112 525035456 529374592 545917548 570639872 572765952 590664888 595546416 624835584 636301248 641969856 644361696 694146816 700330752 715838904 727890064 751044096 757251072 763687936 787553184 794061888 818876322 848401664 855959808 859148928 885997332 893319624 925529088 933774336 937253376 954451872 962954784 1000848838 1041220224 1050070912 1058749184 1091835096 1141279744 1145531904 1181329776 1191092832 1228314483 1272602496 1283939712 1288723392 1388293632 1400661504 1431677808 1455780128 1501273257 1502088192 1575106368 1588123776 1637752644 1696803328 1711919616 1718297856 1771994664 1786639248 1874506752 1908903744 1925909568 2001697676 2082440448 2100141824 2117498368 2183670192 2291063808 2362659552 2382185664 2456628966 2545204992 2567879424 2577446784 2776587264 2801323008 2863355616 2911560256 3002546514 3150212736 3176247552 3275505288 3393606656 3423839232 3436595712 3543989328 3573278496 3817807488 3851819136 4003395352 4164880896 4200283648 4234996736 4367340384 4503819771 4725319104 4764371328 4913257932 5090409984 5135758848 5154893568 5726711232 5823120512 6005093028 6300425472 6352495104 6551010576 6873191424 7087978656 7146556992 7635614976 7703638272 8006790704 8329761792 8400567296 8734680768 9007639542 9450638208 9528742656 9826515864 10180819968 10271517696 10309787136 11453422464 11646241024 12010186056 12600850944 12704990208 13102021152 13511459313 14175957312 14293113984 15271229952 15407276544 16013581408 17469361536 18015279084 18901276416 19057485312 19653031728 20619574272 22906844928 23292482048 24020372112 25201701888 26204042304 27022918626 28351914624 28586227968 30542459904 30814553088 32027162816 34938723072 36030558168 37802552832 38114970624 39306063456 45813689856 46584964096 48040744224 52408084608 54045837252 56703829248 57172455936 64054325632 69877446144 72061116336 75605105664 78612126912 91627379712 96081488448 104816169216 108091674504 113407658496 114344911872 128108651264 139754892288 144122232672 157224253824 192162976896 209632338432 216183349008 226815316992 256217302528 288244465344 314448507648 384325953792 419264676864 432366698016 512434605056 576488930688 628897015296 768651907584 864733396032 1152977861376 1257794030592 1537303815168 1729466792064 2305955722752 3458933584128 4611911445504 6917867168256 13835734336512
• Sum of all divisors σ(n): 46182481632000
• Sum of proper divisors (its aliquot sum) s(n): 32346747295488
• 13835734336512 is an abundant number, because the sum of its proper divisors (32346747295488) is greater than itself. Its abundance is 18511012958976

Bases of 13835734336512

• Binary: 11001001010101100010000001111100010000000000₂
• Hexadecimal: 0xC956207C400
• Base-36: 4WK1QZUO0

Squares and roots of 13835734336512

• 13835734336512 squared (13835734336512²) is 191427544630537152856326144
• 13835734336512 cubed (13835734336512³) is 2648540652198906222748787127617719369728
• The square root of 13835734336512 is 3719641.6946410307
• The cube root of 13835734336512 is 24006.7887835031

Scales and comparisons

• 13,835,734,336,512 seconds is equal to 439,933 years, 28 weeks, 6 days, 1 hour, 55 minutes, 12 seconds.
• To count from 1 to 13,835,734,336,512 would take you about one million, ninety-nine thousand, eight hundred thirty-three 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 13835734336512 cubic inches would be around 2000.6 feet tall.

Recreational maths with 13835734336512

• 13835734336512 backwards is 21563343753831
• 13835734336512 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13835734336512's digits is 54
• More coming soon!