12978528321024

Names of 12978528321024

• Cardinal: 12978528321024 can be written as Twelve trillion, nine hundred seventy-eight billion, five hundred twenty-eight million, three hundred twenty-one thousand and twenty-four.

Scientific notation

• Scientific notation: 1.2978528321024 × 10¹³

Factors of 12978528321024

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 1766

Divisors of 12978528321024

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 54 56 62 63 64 72 81 84 93 96 108 112 124 126 128 144 162 168 186 189 192 216 217 224 243 248 252 256 279 288 324 336 372 378 384 432 434 448 486 496 504 512 558 567 576 648 651 672 729 744 756 768 837 864 868 896 961 972 992 1008 1116 1134 1152 1296 1302 1344 1458 1488 1512 1536 1674 1701 1723 1728 1736 1792 1922 1944 1953 1984 2016 2187 2232 2268 2304 2511 2592 2604 2688 2883 2916 2976 3024 3348 3402 3446 3456 3472 3584 3844 3888 3906 3968 4032 4374 4464 4536 4608 5022 5103 5169 5184 5208 5376 5766 5832 5859 5952 6048 6696 6727 6804 6892 6912 6944 7533 7688 7776 7812 7936 8064 8649 8748 8928 9072 10044 10206 10338 10368 10416 10752 11532 11664 11718 11904 12061 12096 13392 13454 13608 13784 13824 13888 15066 15309 15376 15507 15552 15624 15872 16128 17298 17496 17577 17856 18144 20088 20181 20412 20676 20736 20832 22599 23064 23328 23436 23808 24122 24192 25947 26784 26908 27216 27568 27776 30132 30618 30752 31014 31104 31248 32256 34596 34992 35154 35712 36183 36288 40176 40362 40824 41352 41472 41664 45198 46128 46521 46656 46872 47616 48244 48384 51894 52731 53413 53568 53816 54432 55136 55552 60264 60543 61236 61504 62028 62208 62496 67797 69192 69984 70308 71424 72366 72576 77841 80352 80724 81648 82704 83328 90396 92256 93042 93312 93744 96488 96768 103788 105462 106826 107136 107632 108549 108864 110272 111104 120528 121086 122472 123008 124056 124416 124992 135594 138384 139563 139968 140616 142848 144732 145152 155682 158193 160239 160704 161448 163296 165408 166656 180792 181629 184512 186084 186624 187488 192976 207576 210924 213652 214272 215264 217098 217728 220544 233523 241056 242172 244944 246016 248112 249984 271188 276768 279126 279936 281232 289464 290304 311364 316386 320478 321408 322896 325647 326592 330816 333312 361584 363258 369024 372168 373248 373891 374976 385952 415152 418689 421848 427304 428544 430528 434196 435456 441088 467046 474579 480717 482112 484344 489888 492032 496224 499968 542376 544887 553536 558252 559872 562464 578928 622728 632772 640956 642816 645792 651294 653184 661632 700569 723168 726516 738048 744336 747782 749952 771904 830304 837378 843696 854608 861056 868392 870912 882176 934092 949158 961434 964224 968688 976941 979776 992448 999936 1084752 1089774 1107072 1116504 1119744 1121673 1124928 1157856 1245456 1256067 1265544 1281912 1285632 1291584 1302588 1306368 1323264 1401138 1442151 1446336 1453032 1476096 1488672 1495564 1499904 1543808 1634661 1655803 1660608 1674756 1687392 1709216 1722112 1736784 1868184 1898316 1922868 1928448 1937376 1953882 1959552 1984896 2101707 2169504 2179548 2214144 2233008 2243346 2249856 2315712 2490912 2512134 2531088 2563824 2583168 2605176 2612736 2646528 2802276 2884302 2892672 2906064 2930823 2977344 2991128 2999808 3087616 3269322 3311606 3321216 3349512 3365019 3374784 3418432 3444224 3473568 3736368 3768201 3796632 3845736 3856896 3874752 3907764 3919104 3969792 4203414 4326453 4339008 4359096 4428288 4466016 4486692 4499712 4631424 4903983 4967409 4981824 5024268 5062176 5127648 5166336 5210352 5604552 5768604 5785344 5812128 5861646 5954688 5982256 6175232 6538644 6623212 6642432 6699024 6730038 6749568 6836864 6947136 7472736 7536402 7593264 7691472 7749504 7815528 7838208 7939584 8406828 8652906 8678016 8718192 8792469 8932032 8973384 8999424 9262848 9807966 9934818 9963648 10048536 10095057 10124352 10255296 10332672 10420704 11209104 11537208 11570688 11590621 11624256 11723292 11909376 11964512 12979359 13077288 13246424 13284864 13398048 13460076 13499136 13673728 13894272 14711949 14902227 14945472 15072804 15186528 15382944 15499008 15631056 16813656 17305812 17356032 17436384 17584938 17864064 17946768 18525696 19615932 19869636 19927296 20097072 20190114 20248704 20510592 20841408 22418208 23074416 23181242 23248512 23446584 23818752 23929024 25958718 26154576 26377407 26492848 26796096 26920152 26998272 27347456 27788544 29423898 29804454 29890944 30145608 30285171 30373056 30765888 30998016 31262112 33627312 34611624 34712064 34771863 34872768 35169876 35728128 35893536 38938077 39231864 39739272 39854592 40194144 40380228 40497408 41021184 41682816 44706681 44836416 46148832 46362484 46497024 46893168 47858048 51917436 52309152 52754814 52985696 53592192 53840304 55577088 58847796 59608908 59781888 60291216 60570342 60746112 61531776 62524224 67254624 69223248 69543726 69745536 70339752 71456256 71787072 77876154 78463728 79478544 80388288 80760456 80994816 82042368 83365632 89413362 89672832 90855513 92297664 92724968 92994048 93786336 95716096 103834872 104315589 104618304 105509628 105971392 107184384 107680608 116814231 117695592 119217816 119563776 120582432 121140684 121492224 123063552 125048448 134120043 134509248 138446496 139087452 139491072 140679504 143574144 155752308 156927456 158957088 160776576 161520912 166731264 178826724 179345664 181711026 184595328 185449936 187572672 191432192 207669744 208631178 209236608 211019256 211942784 214368768 215361216 233628462 235391184 238435632 241164864 242281368 242984448 246127104 250096896 268240086 269018496 272566539 276892992 278174904 278982144 281359008 287148288 311504616 312946767 313854912 317914176 321553152 323041824 357653448 358691328 363422052 369190656 370899872 375145344 402360129 415339488 417262356 418473216 422038512 423885568 430722432 467256924 470782368 476871264 482329728 484562736 500193792 536480172 538036992 545133078 553785984 556349808 562718016 574296576 623009232 625893534 627709824 635828352 643106304 646083648 715306896 726844104 738381312 741799744 750290688 804720258 817699617 830678976 834524712 836946432 844077024 847771136 861444864 934513848 938840301 941564736 953742528 964659456 969125472 1072960344 1076073984 1090266156 1107571968 1112699616 1125436032 1207080387 1246018464 1251787068 1255419648 1271656704 1292167296 1430613792 1453688208 1483599488 1500581376 1609440516 1635399234 1661357952 1669049424 1688154048 1722889728 1869027696 1877680602 1883129472 1907485056 1929318912 1938250944 2145920688 2180532312 2215143936 2225399232 2250872064 2414160774 2492036928 2503574136 2510839296 2543313408 2584334592 2816520903 2861227584 2907376416 2967198976 3218881032 3270798468 3322715904 3338098848 3376308096 3621241161 3738055392 3755361204 3766258944 3814970112 3876501888 4291841376 4361064624 4450798464 4501744128 4828321548 4984073856 5007148272 5168669184 5633041806 5722455168 5814752832 5934397952 6437762064 6541596936 6645431808 6676197696 6752616192 7242482322 7476110784 7510722408 7532517888 7629940224 7753003776 8449562709 8583682752 8722129248 8901596928 9656643096 9968147712 10014296544 11266083612 11444910336 11629505664 12875524128 13083193872 13352395392 13505232384 14484964644 14952221568 15021444816 15506007552 16899125418 17167365504 17444258496 17803193856 19313286192 19936295424 20028593088 22532167224 22889820672 23259011328 25348688127 25751048256 26166387744 26704790784 28969929288 29904443136 30042889632 33798250836 34334731008 34888516992 38626572384 40057186176 45064334448 46518022656 50697376254 51502096512 52332775488 53409581568 57939858576 59808886272 60085779264 67596501672 68669462016 69777033984 77253144768 80114372352 90128668896 101394752508 103004193024 104665550976 115879717152 120171558528 135193003344 139554067968 154506289536 160228744704 180257337792 202789505016 206008386048 209331101952 231759434304 240343117056 270386006688 309012579072 360514675584 405579010032 418662203904 463518868608 480686234112 540772013376 618025158144 721029351168 811158020064 927037737216 1081544026752 1442058702336 1622316040128 1854075474432 2163088053504 3244632080256 4326176107008 6489264160512 12978528321024
• Sum of all divisors σ(n): 45954280880640
• Sum of proper divisors (its aliquot sum) s(n): 32975752559616
• 12978528321024 is an abundant number, because the sum of its proper divisors (32975752559616) is greater than itself. Its abundance is 19997224238592

Bases of 12978528321024

• Binary: 10111100110111001100100100011111111000000000₂
• Hexadecimal: 0xBCDCC91FE00
• Base-36: 4LM94O000

Squares and roots of 12978528321024

• 12978528321024 squared (12978528321024²) is 168442197379622048400408576
• 12978528321024 cubed (12978528321024³) is 2186131829146939356177846380748890701824
• The square root of 12978528321024 is 3602572.4588166163
• The cube root of 12978528321024 is 23500.3943323141

Scales and comparisons

• 12,978,528,321,024 seconds is equal to 412,677 years, 2 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 12,978,528,321,024 would take you about one million, thirty-one thousand, six hundred ninety-two 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 12978528321024 cubic inches would be around 1958.4 feet tall.

Recreational maths with 12978528321024

• 12978528321024 backwards is 42012382587921
• 12978528321024 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12978528321024's digits is 54
• More coming soon!