12967233391728

Names of 12967233391728

• Cardinal: 12967233391728 can be written as Twelve trillion, nine hundred sixty-seven billion, two hundred thirty-three million, three hundred ninety-one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.2967233391728 × 10¹³

Factors of 12967233391728

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 7741

Divisors of 12967233391728

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 37 42 44 48 53 56 63 66 72 74 77 79 84 88 99 106 111 112 126 132 144 148 154 158 159 168 176 198 212 222 231 237 252 259 264 296 308 316 318 333 336 371 396 407 424 444 462 474 477 504 518 528 553 583 592 616 632 636 666 693 711 742 777 792 814 848 869 888 924 948 954 1008 1036 1106 1113 1166 1221 1232 1264 1272 1332 1386 1422 1484 1554 1584 1628 1659 1738 1749 1776 1848 1896 1908 1961 2072 2212 2226 2331 2332 2442 2544 2607 2664 2772 2844 2849 2923 2968 3108 3256 3318 3339 3476 3498 3663 3696 3792 3816 3922 4081 4144 4187 4424 4452 4662 4664 4884 4977 5214 5247 5328 5544 5688 5698 5846 5883 5936 6083 6216 6512 6636 6678 6952 6996 7326 7549 7632 7821 7844 8162 8374 8547 8769 8848 8904 9324 9328 9768 9954 10428 10494 11088 11376 11396 11692 11766 12166 12243 12432 12561 13272 13356 13727 13904 13992 14652 15098 15642 15688 16324 16748 17094 17538 17649 17808 18249 18648 19536 19908 20461 20856 20988 21571 22647 22792 23384 23532 24332 24486 25122 25641 26307 26544 26712 27454 27984 29304 29309 30196 31284 31376 32153 32648 33496 34188 35076 35298 36498 36729 37296 37683 39816 40922 41181 41712 41976 43142 45294 45584 46057 46768 47064 48664 48972 50244 51282 52614 52843 53424 54747 54908 58608 58618 60392 61383 62568 64306 64713 65296 66992 67941 68376 70152 70596 72996 73458 75366 79632 81844 82362 83039 83952 86284 87927 90588 92114 94128 96459 97328 97944 100488 102564 105228 105686 109494 109816 117236 120784 122766 123543 125136 128612 129426 135882 136752 138171 140304 141192 145992 146916 150732 150997 154919 158529 163688 164724 166078 172568 175854 181176 184149 184228 192918 194139 195888 200976 205128 210456 211372 218988 219632 225071 234472 245532 247086 249117 257224 258852 263781 271764 276342 279313 282384 289377 291984 293832 301464 301994 309838 317058 322399 327376 329448 332156 345136 351708 362352 368298 368456 385836 388278 400097 410256 414513 420912 422744 437976 450142 452991 464757 468944 475587 491064 494172 498234 514448 517704 527562 543528 552684 558626 578754 581273 587664 596371 602928 603988 619676 634116 644798 658896 664312 675213 703416 736596 736912 747351 771672 776556 800194 829026 837939 845488 875952 900284 905982 929514 951174 967197 982128 988344 996468 1035408 1055124 1084433 1087056 1105368 1117252 1157508 1162546 1192742 1200291 1207976 1239352 1268232 1289596 1328624 1350426 1358973 1394271 1406832 1473192 1494702 1543344 1553112 1600388 1658052 1675878 1704109 1743819 1789113 1800568 1811964 1859028 1902348 1934394 1955191 1976688 1992936 2025639 2110248 2168866 2210736 2234504 2315016 2325092 2385484 2400582 2415952 2478704 2513817 2536464 2579192 2700852 2717946 2788542 2800679 2901591 2946384 2989404 3072443 3106224 3200776 3253299 3316104 3351756 3408218 3487638 3578226 3600873 3601136 3623928 3718056 3804696 3868788 3910382 3985872 4051278 4174597 4220496 4337732 4401067 4469008 4630032 4650184 4770968 4801164 5027634 5112327 5158384 5231457 5367339 5401704 5435892 5577084 5601358 5803182 5865573 5978808 6144886 6401552 6506598 6560081 6632208 6703512 6816436 6975276 7156452 7201746 7247856 7436112 7609392 7737576 7820764 8102556 8349194 8402037 8675464 8802134 9217329 9300368 9541936 9602328 9759897 10055268 10224654 10462914 10734678 10803408 10871784 11154168 11202716 11606364 11731146 11928763 11957616 12289772 12523791 13013196 13120162 13203201 13407024 13632872 13950552 14312904 14403492 14803589 15336981 15475152 15641528 16205112 16698388 16804074 17350928 17596719 17604268 18434658 19204656 19519794 19680243 20110536 20449308 20925828 21469356 21507101 21743568 22065727 22308336 22405432 23212728 23462292 23857526 24579544 25047582 25206111 26026392 26240324 26406402 27265744 27651987 27901104 28625808 28806984 29607178 30673962 30807469 31283056 31607663 32410224 33396776 33608148 35193438 35208536 35786289 36869316 37571373 39039588 39360486 39609603 40221072 40898616 41851656 42938712 43014202 44131454 44410767 44810864 45920567 46425456 46924584 47715052 49159088 50095164 50412222 52052784 52480648 52812804 55303974 57613968 59040729 59214356 61347924 61614938 63215326 64521303 66197181 66793552 67216296 70386876 70417072 71572578 73738632 75142746 78079176 78720972 79219206 81797232 83703312 85877424 86028404 88262908 88821534 91841134 92422407 93849168 94822989 95430104 100190328 100824444 103625123 104961296 105625608 107358867 110607948 118081458 118428712 122695848 123229876 126430652 129042606 132394362 133232301 134432592 137761701 140773752 143145156 147477264 150285492 154460089 156158352 157441944 158438412 162839479 172056808 176525816 177643068 183682268 184844814 189645978 190860208 193563909 198591543 200380656 201648888 207250246 211251216 214717734 221215896 221253641 236162916 236857424 242722997 245391696 246459752 252861304 258085212 264788724 266464602 275523402 277267221 281547504 284468967 286290312 300570984 308920178 310875369 314883888 316876824 325678958 344113616 347684293 353051632 355286136 367364536 369689628 379291956 387127818 397183086 403297776 413285103 414500492 429435468 442431792 442507282 463380267 472325832 485445994 488518437 492919504 505722608 516170424 529577448 532929204 551046804 554534442 568937934 572580624 601141968 617840356 621750738 633753648 651357916 663760923 695368586 710572272 728168991 734729072 739379256 758583912 774255636 794366172 826570206 829000984 858870936 885014564 926760534 932626107 944651664 970891988 977036874 1032340848 1043052879 1059154896 1065858408 1102093608 1109068884 1137875868 1139876353 1169483531 1235680712 1243501476 1302715832 1327521846 1390140801 1390737172 1456337982 1465555311 1478758512 1517167824 1548511272 1588732344 1653140412 1658001968 1699060979 1717741872 1770029128 1853521068 1865252214 1941783976 1954073748 1991282769 2086105758 2131716816 2184506973 2204187216 2218137768 2275751736 2279752706 2338967062 2433790051 2471361424 2487002952 2605431664 2655043692 2780281602 2781474344 2912675964 2931110622 3097022544 3129158637 3177464688 3306280824 3398121958 3419629059 3508450593 3540058256 3707042136 3730504428 3883567952 3908147496 3982565538 4172211516 4369013946 4436275536 4551503472 4559505412 4677934124 4867580102 4974005904 5097182937 5310087384 5560563204 5562948688 5825351928 5862221244 6258317274 6612561648 6796243916 6839258118 7016901186 7301370153 7414084272 7461008856 7816294992 7965131076 8186384717 8344423032 8738027892 9119010824 9355868248 9735160204 10194365874 10258887177 10525351779 10620174768 11121126408 11650703856 11724442488 12516634548 12864318841 13592487832 13678516236 14033802372 14602740306 14922017712 15291548811 15930262152 16372769434 16688846064 17476055784 18238021648 18711736496 19470320408 20388731748 20517774354 21050703558 21904110459 22242252816 23448884976 24559154151 25033269096 25728637682 27184975664 27357032472 28067604744 29205480612 30583097622 31860524304 32745538868 34952111568 38592956523 38940640816 40777463496 41035548708 42101407116 43808220918 49118308302 50066538192 51457275364 54714064944 56135209488 58410961224 61166195244 65491077736 73677462453 77185913046 81554926992 82071097416 84202814232 87616441836 90050231887 98236616604 102914550728 115778869569 116821922448 122332390488 130982155472 147354924906 154371826092 164142194832 168405628464 175232883672 180100463774 196473233208 205829101456 231557739138 244664780976 270150695661 294709849812 308743652184 350465767344 360200927548 392946466416 463115478276 540301391322 589419699624 617487304368 720401855096 810452086983 926230956552 1080602782644 1178839399248 1440803710192 1620904173966 1852461913104 2161205565288 3241808347932 4322411130576 6483616695864 12967233391728
• Sum of all divisors σ(n): 47950216704000
• Sum of proper divisors (its aliquot sum) s(n): 34982983312272
• 12967233391728 is an abundant number, because the sum of its proper divisors (34982983312272) is greater than itself. Its abundance is 22015749920544

Bases of 12967233391728

• Binary: 10111100101100101011010101110000110001110000₂
• Hexadecimal: 0xBCB2B570C70
• Base-36: 4LH2BYGS0

Squares and roots of 12967233391728

• 12967233391728 squared (12967233391728²) is 168149141835545650698825984
• 12967233391728 cubed (12967233391728³) is 2180429166800295167702916017931977060352
• The square root of 12967233391728 is 3601004.4975989687
• The cube root of 12967233391728 is 23493.5750606695

Scales and comparisons

• 12,967,233,391,728 seconds is equal to 412,317 years, 47 weeks, 2 days, 19 hours, 28 minutes, 48 seconds.
• To count from 1 to 12,967,233,391,728 would take you about one million, thirty thousand, seven hundred ninety-four 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 12967233391728 cubic inches would be around 1957.8 feet tall.

Recreational maths with 12967233391728

• 12967233391728 backwards is 82719333276921
• 12967233391728 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12967233391728's digits is 63
• More coming soon!