668801193984

Names of 668801193984

• Cardinal: 668801193984 can be written as Six hundred sixty-eight billion, eight hundred one million, one hundred ninety-three thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 6.68801193984 × 10¹¹

Factors of 668801193984

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 617

Divisors of 668801193984

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 54 56 62 63 64 66 72 77 81 84 88 93 96 99 108 112 124 126 128 132 144 154 162 168 176 186 189 192 198 216 217 224 231 243 248 252 256 264 279 288 297 308 324 336 341 352 372 378 384 396 432 434 448 462 486 496 504 512 528 558 563 567 576 594 616 648 651 672 682 693 704 744 756 768 792 837 864 868 891 896 924 972 992 1008 1023 1024 1056 1116 1126 1134 1152 1188 1232 1296 1302 1344 1364 1386 1408 1488 1512 1536 1584 1674 1689 1701 1728 1736 1782 1792 1848 1944 1953 1984 2016 2046 2048 2079 2112 2232 2252 2268 2304 2376 2387 2464 2511 2592 2604 2673 2688 2728 2772 2816 2976 3024 3069 3072 3168 3348 3378 3402 3456 3472 3564 3584 3696 3888 3906 3941 3968 4032 4092 4158 4224 4464 4504 4536 4608 4752 4774 4928 5022 5067 5184 5208 5346 5376 5456 5544 5632 5859 5952 6048 6138 6144 6193 6237 6336 6696 6756 6804 6912 6944 7128 7161 7168 7392 7533 7776 7812 7882 7936 8064 8184 8316 8448 8928 9008 9072 9207 9216 9504 9548 9856 10044 10134 10368 10416 10692 10752 10912 11088 11264 11718 11823 11904 12096 12276 12386 12474 12672 13392 13512 13608 13824 13888 14256 14322 14336 14784 15066 15201 15552 15624 15764 15872 16128 16368 16632 16896 17453 17577 17856 18016 18144 18414 18432 18579 18711 19008 19096 19712 20088 20268 20736 20832 21384 21483 21504 21824 22176 22528 23436 23646 23808 24192 24552 24772 24948 25344 26784 27024 27216 27621 27648 27776 28512 28644 29568 30132 30402 31104 31248 31528 31744 32256 32736 33264 33792 34906 35154 35469 35712 36032 36288 36828 37158 37422 38016 38192 39424 40176 40536 41472 41664 42768 42966 43008 43351 43648 44352 45603 46872 47292 47616 48384 49104 49544 49896 50688 52359 52731 53568 54048 54432 55242 55296 55552 55737 57024 57288 59136 60264 60804 62208 62496 63056 63488 64449 64512 65472 66528 67584 69812 70308 70938 71424 72064 72576 73656 74316 74844 76032 76384 78848 80352 81072 82863 82944 83328 85536 85932 86702 87296 88704 91206 93744 94584 95232 96768 98208 99088 99792 101376 104718 105462 106407 107136 108096 108864 110484 111104 111474 114048 114576 118272 120528 121608 122171 124416 124992 126112 128898 129024 130053 130944 133056 136809 139624 140616 141876 142848 144128 145152 147312 148632 149688 152064 152768 157077 157696 160704 162144 165726 165888 166656 167211 171072 171864 173404 174592 177408 182412 187488 189168 190464 191983 193347 193536 196416 198176 199584 202752 209436 210924 212814 214272 216192 217728 220968 222208 222948 228096 229152 236544 241056 243216 244342 248832 249984 252224 257796 260106 261888 266112 273618 279248 281232 283752 285696 288256 290304 294624 297264 299376 304128 305536 314154 319221 321408 324288 331452 333312 334422 342144 343728 346808 349184 354816 364824 366513 374976 378336 383966 386694 387072 390159 392832 396352 399168 418872 421848 425628 428544 432384 435456 441936 444416 445896 456192 458304 471231 473088 482112 486432 488684 497664 499968 501633 504448 515592 520212 523776 532224 547236 558496 562464 567504 571392 575949 576512 580041 580608 589248 594528 598752 608256 611072 628308 638442 642816 648576 662904 666624 668844 684288 687456 693616 698368 709632 729648 733026 749952 756672 767932 773388 780318 785664 792704 798336 837744 843696 851256 857088 864768 870912 883872 891792 912384 916608 942462 957663 964224 972864 977368 999936 1003266 1008896 1031184 1040424 1047552 1064448 1094472 1099539 1116992 1124928 1135008 1151898 1153024 1160082 1161216 1170477 1178496 1189056 1197504 1222144 1256616 1276884 1285632 1297152 1325808 1333248 1337688 1343881 1368576 1374912 1387232 1413693 1419264 1459296 1466052 1499904 1504899 1513344 1535864 1546776 1560636 1571328 1585408 1596672 1675488 1687392 1702512 1714176 1727847 1729536 1741824 1767744 1783584 1824768 1833216 1884924 1915326 1928448 1945728 1954736 1999872 2006532 2017792 2062368 2080848 2095104 2128896 2188944 2199078 2233984 2249856 2270016 2303796 2320164 2340954 2356992 2378112 2395008 2444288 2513232 2553768 2571264 2594304 2651616 2675376 2687762 2737152 2749824 2774464 2827386 2918592 2932104 2999808 3009798 3026688 3071728 3093552 3121272 3142656 3170816 3193344 3298617 3350976 3374784 3405024 3455694 3459072 3483648 3511431 3535488 3567168 3666432 3769848 3830652 3856896 3891456 3909472 3999744 4013064 4031643 4035584 4124736 4161696 4241079 4257792 4377888 4398156 4467968 4499712 4540032 4607592 4640328 4681908 4713984 4756224 4790016 4888576 5026464 5107536 5142528 5183541 5188608 5303232 5350752 5375524 5474304 5499648 5548928 5654772 5837184 5864208 5999616 6019596 6053376 6143456 6187104 6242544 6285312 6341632 6386688 6597234 6701952 6749568 6810048 6911388 7022862 7070976 7134336 7332864 7539696 7661304 7713792 7782912 7818944 8026128 8063286 8071168 8249472 8323392 8482158 8755776 8796312 8935936 8999424 9080064 9215184 9280656 9363816 9427968 9512448 9580032 9895851 10052928 10215072 10367082 10377216 10534293 10606464 10701504 10751048 10999296 11097856 11309544 11674368 11728416 11999232 12039192 12094929 12106752 12286912 12374208 12485088 12683264 12773376 13194468 13403904 13499136 13620096 13822776 14045724 14141952 14268672 14665728 15079392 15322608 15427584 15550623 15565824 15637888 16052256 16126572 16498944 16646784 16964316 17511552 17592624 17871872 17998848 18160128 18430368 18561312 18727632 18855936 19024896 19160064 19791702 20105856 20430144 20734164 21068586 21212928 21403008 21502096 21998592 22195712 22619088 23348736 23456832 24078384 24189858 24213504 24573824 24748416 24970176 26388936 26807808 26998272 27240192 27645552 28091448 28283904 28537344 29687553 30158784 30645216 31101246 31131648 31275776 32104512 32253144 32997888 33293568 33928632 35023104 35185248 35743744 35997696 36284787 36320256 36860736 37122624 37455264 38049792 38320128 39583404 40211712 40860288 41468328 42137172 42425856 42806016 43004192 43997184 44391424 45238176 46651869 46697472 46913664 48156768 48379716 49147648 49496832 49940352 52777872 53615616 53996544 54480384 55291104 56182896 56567808 57074688 59375106 60317568 61290432 62202492 62551552 64209024 64506288 65995776 66587136 67857264 70046208 70370496 72569574 72640512 73721472 74245248 74910528 79166808 80423424 81720576 82936656 84274344 84851712 85612032 86008384 88782848 90476352 93303738 93394944 93827328 96313536 96759432 98295296 98993664 99880704 105555744 107231232 107993088 108854361 108960768 110582208 112365792 114149376 118750212 120635136 122580864 124404984 125103104 128418048 129012576 131991552 133174272 135714528 140092416 140740992 145139148 147442944 148490496 149821056 158333616 160846848 163441152 165873312 168548688 169703424 171224064 172016768 180952704 186607476 187654656 192627072 193518864 196590592 197987328 199761408 211111488 217708722 217921536 221164416 224731584 237500424 241270272 245161728 248809968 250206208 256836096 258025152 266348544 271429056 280184832 281481984 290278296 294885888 296980992 299642112 316667232 321693696 326563083 326882304 331746624 337097376 342448128 344033536 361905408 373214952 375309312 385254144 387037728 393181184 395974656 399522816 422222976 435417444 442328832 449463168 475000848 482540544 490323456 497619936 513672192 516050304 542858112 562963968 580556592 589771776 593961984 599284224 633334464 653126166 653764608 663493248 674194752 688067072 723810816 746429904 750618624 770508288 774075456 799045632 844445952 870834888 884657664 898926336 950001696 965081088 980646912 995239872 1027344384 1032100608 1085716224 1125927936 1161113184 1179543552 1187923968 1198568448 1266668928 1306252332 1326986496 1348389504 1376134144 1447621632 1492859808 1541016576 1548150912 1688891904 1741669776 1769315328 1797852672 1900003392 1961293824 1990479744 2064201216 2171432448 2251855872 2322226368 2397136896 2533337856 2612504664 2653972992 2696779008 2752268288 2895243264 2985719616 3082033152 3096301824 3377783808 3483339552 3538630656 3595705344 3800006784 3980959488 4128402432 4342864896 4644452736 5066675712 5225009328 5307945984 5393558016 5971439232 6192603648 6755567616 6966679104 7191410688 7600013568 7961918976 8256804864 8685729792 9288905472 10133351424 10450018656 10615891968 10787116032 11942878464 12385207296 13933358208 15200027136 15923837952 18577810944 20266702848 20900037312 21574232064 23885756928 24770414592 27866716416 30400054272 31847675904 37155621888 41800074624 47771513856 55733432832 60800108544 74311243776 83600149248 95543027712 111466865664 167200298496 222933731328 334400596992 668801193984
• Sum of all divisors σ(n): 2582590832640
• Sum of proper divisors (its aliquot sum) s(n): 1913789638656
• 668801193984 is an abundant number, because the sum of its proper divisors (1913789638656) is greater than itself. Its abundance is 1244988444672

Bases of 668801193984

• Binary: 1001101110110111101010000101100000000000₂
• Hexadecimal: 0x9BB7A85800
• Base-36: 8J8QYO00

Squares and roots of 668801193984

• 668801193984 squared (668801193984²) is 447295037074423997792256
• 668801193984 cubed (668801193984³) is 299151454858492315992523392788987904
• The square root of 668801193984 is 817802.6620059389
• The cube root of 668801193984 is 8745.1181213211

Scales and comparisons

• 668,801,193,984 seconds is equal to 21,265 years, 42 weeks, 13 hours, 26 minutes, 24 seconds.
• To count from 1 to 668,801,193,984 would take you about forty-two thousand, five hundred thirty-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 668801193984 cubic inches would be around 728.8 feet tall.

Recreational maths with 668801193984

• 668801193984 backwards is 489391108866
• 668801193984 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 668801193984's digits is 63
• More coming soon!