331968968884224

Names of 331968968884224

• Cardinal: 331968968884224 can be written as Three hundred thirty-one trillion, nine hundred sixty-eight billion, nine hundred sixty-eight million, eight hundred eighty-four thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 3.31968968884224 × 10¹⁴

Factors of 331968968884224

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 1421

Divisors of 331968968884224

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 432 448 486 504 512 567 576 648 672 729 756 768 864 896 972 1008 1024 1134 1152 1296 1344 1409 1458 1512 1536 1701 1728 1792 1944 2016 2048 2268 2304 2592 2688 2818 2916 3024 3072 3402 3456 3584 3888 4032 4096 4227 4536 4608 5103 5184 5376 5636 5832 6048 6144 6804 6912 7168 7776 8064 8192 8454 9072 9216 9863 10206 10368 10752 11272 11664 12096 12288 12681 13608 13824 14336 15552 16128 16384 16908 18144 18432 19726 20412 20736 21504 22544 23328 24192 24576 25362 27216 27648 28672 29589 31104 32256 32768 33816 36288 36864 38043 39452 40824 41472 43008 45088 46656 48384 49152 50724 54432 55296 57344 59178 62208 64512 67632 72576 73728 76086 78904 81648 82944 86016 88767 90176 93312 96768 98304 101448 108864 110592 114129 114688 118356 124416 129024 135264 145152 147456 152172 157808 163296 165888 172032 177534 180352 186624 193536 202896 217728 221184 228258 229376 236712 248832 258048 266301 270528 290304 294912 304344 315616 326592 331776 342387 344064 355068 360704 373248 387072 405792 435456 442368 456516 473424 497664 516096 532602 541056 580608 608688 631232 653184 663552 684774 688128 710136 721408 746496 774144 798903 811584 870912 884736 913032 946848 995328 1027161 1032192 1065204 1082112 1161216 1217376 1262464 1306368 1327104 1369548 1420272 1442816 1492992 1548288 1597806 1623168 1741824 1826064 1893696 1985281 1990656 2054322 2064384 2130408 2164224 2322432 2396709 2434752 2524928 2612736 2654208 2739096 2840544 2885632 2985984 3096576 3195612 3246336 3483648 3652128 3787392 3970562 3981312 4108644 4260816 4328448 4644864 4793418 4869504 5049856 5225472 5478192 5681088 5771264 5955843 5971968 6193152 6391224 6492672 6967296 7190127 7304256 7574784 7941124 7962624 8217288 8521632 8656896 9289728 9586836 9739008 10099712 10450944 10956384 11362176 11542528 11911686 11943936 12782448 12985344 13896967 13934592 14380254 14608512 15149568 15882248 16434576 17043264 17313792 17867529 18579456 19173672 19478016 20199424 20901888 21912768 22724352 23085056 23823372 23887872 25564896 25970688 27793934 27869184 28760508 29217024 30299136 31764496 32869152 34086528 34627584 35735058 38347344 38956032 40398848 41690901 41803776 43825536 45448704 46170112 47646744 51129792 51941376 53602587 55587868 55738368 57521016 58434048 60598272 63528992 65738304 68173056 69255168 71470116 76694688 77912064 80797696 83381802 83607552 87651072 90897408 95293488 102259584 103882752 107205174 111175736 115042032 116868096 121196544 125072703 127057984 131476608 136346112 138510336 142940232 153389376 155824128 160807761 161595392 166763604 167215104 175302144 181794816 190586976 204519168 207765504 214410348 222351472 230084064 233736192 242393088 250145406 254115968 262953216 272692224 285880464 306778752 311648256 321615522 323190784 333527208 350604288 363589632 375218109 381173952 409038336 415531008 428820696 444702944 460168128 467472384 482423283 484786176 500290812 508231936 525906432 545384448 571760928 613557504 623296512 643231044 667054416 701208576 727179264 750436218 762347904 818076672 857641392 889405888 920336256 934944768 964846566 969572352 1000581624 1016463872 1051812864 1090768896 1125654327 1143521856 1227115008 1246593024 1286462088 1334108832 1402417152 1447269849 1454358528 1500872436 1524695808 1636153344 1715282784 1778811776 1840672512 1869889536 1929693132 2001163248 2032927744 2103625728 2181537792 2251308654 2287043712 2454230016 2572924176 2668217664 2804834304 2894539698 2908717056 3001744872 3049391616 3272306688 3376962981 3430565568 3557623552 3681345024 3739779072 3859386264 4002326496 4065855488 4207251456 4363075584 4502617308 4574087424 4908460032 5145848352 5336435328 5609668608 5789079396 6003489744 6098783232 6544613376 6753925962 6861131136 7115247104 7362690048 7718772528 8004652992 8131710976 8414502912 8726151168 9005234616 9148174848 9816920064 10130888943 10291696704 10672870656 11219337216 11578158792 12006979488 12197566464 13089226752 13507851924 13722262272 14230494208 14725380096 15437545056 16009305984 16263421952 16829005824 18010469232 18296349696 19633840128 20261777886 20583393408 21345741312 23156317584 24013958976 24395132928 26178453504 27015703848 27444524544 28460988416 29450760192 30875090112 32018611968 32526843904 33658011648 36020938464 36592699392 39267680256 40523555772 41166786816 42691482624 46312635168 48027917952 48790265856 54031407696 54889049088 56921976832 58901520384 61750180224 64037223936 65053687808 72041876928 73185398784 78535360512 81047111544 82333573632 85382965248 92625270336 96055835904 97580531712 108062815392 109778098176 113843953664 117803040768 123500360448 128074447872 144083753856 146370797568 162094223088 164667147264 170765930496 185250540672 192111671808 195161063424 216125630784 219556196352 227687907328 235606081536 247000720896 256148895744 288167507712 292741595136 324188446176 329334294528 341531860992 370501081344 384223343616 432251261568 439112392704 455375814656 494001441792 512297791488 576335015424 585483190272 648376892352 658668589056 683063721984 741002162688 768446687232 864502523136 878224785408 988002883584 1024595582976 1152670030848 1296753784704 1317337178112 1366127443968 1482004325376 1536893374464 1729005046272 1756449570816 1976005767168 2049191165952 2305340061696 2593507569408 2634674356224 2964008650752 3073786748928 3458010092544 3952011534336 4098382331904 4610680123392 5187015138816 5269348712448 5928017301504 6147573497856 6916020185088 7904023068672 9221360246784 10374030277632 11856034603008 12295146995712 13832040370176 15808046137344 18442720493568 20748060555264 23712069206016 27664080740352 36885440987136 41496121110528 47424138412032 55328161480704 82992242221056 110656322961408 165984484442112 331968968884224
• Sum of all divisors σ(n): 1138449516725640
• Sum of proper divisors (its aliquot sum) s(n): 806480547841416
• 331968968884224 is an abundant number, because the sum of its proper divisors (806480547841416) is greater than itself. Its abundance is 474511578957192

Bases of 331968968884224

• Binary: 1001011011110110010001100011101111000000000000000₂
• Hexadecimal: 0x12DEC8C778000
• Base-36: 39O8FSW000

Squares and roots of 331968968884224

• 331968968884224 squared (331968968884224²) is 110203396302054882303516082176
• 331968968884224 cubed (331968968884224³) is 36584107837932663449447872821314118613991424
• The square root of 331968968884224 is 18220015.6115252547
• The cube root of 331968968884224 is 69241.3983249225

Scales and comparisons

• 331,968,968,884,224 seconds is equal to 10,555,586 years, 18 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 331,968,968,884,224 would take you about twenty-six million, three hundred eighty-eight thousand, nine hundred sixty-five 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 331968968884224 cubic inches would be around 5770.1 feet tall.

Recreational maths with 331968968884224

• 331968968884224 backwards is 422488869869133
• 331968968884224 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 331968968884224's digits is 81
• More coming soon!