668683911168

Names of 668683911168

• Cardinal: 668683911168 can be written as Six hundred sixty-eight billion, six hundred eighty-three million, nine hundred eleven thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 6.68683911168 × 10¹¹

Factors of 668683911168

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 138

Divisors of 668683911168

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 81 84 91 96 98 104 108 112 113 117 126 128 144 147 156 162 168 182 189 192 196 208 216 224 226 234 252 256 273 288 294 312 324 336 339 343 351 364 378 384 392 416 432 441 448 452 468 504 512 546 567 576 588 624 637 648 672 678 686 702 728 756 768 784 791 819 832 864 882 896 904 936 1008 1017 1024 1029 1053 1092 1134 1152 1176 1248 1274 1296 1323 1344 1356 1372 1404 1456 1469 1512 1536 1568 1582 1638 1664 1728 1764 1792 1808 1872 1911 2016 2034 2048 2058 2106 2184 2268 2304 2352 2373 2457 2496 2548 2592 2646 2688 2712 2744 2808 2912 2938 3024 3051 3072 3087 3136 3164 3276 3328 3456 3528 3584 3616 3744 3822 3969 4032 4068 4096 4116 4212 4368 4407 4459 4536 4608 4704 4746 4914 4992 5096 5184 5292 5376 5424 5488 5537 5616 5733 5824 5876 6048 6102 6144 6174 6272 6328 6552 6656 6912 7056 7119 7168 7232 7371 7488 7644 7938 8064 8136 8192 8232 8424 8736 8814 8918 9072 9153 9216 9261 9408 9492 9828 9984 10192 10283 10368 10584 10752 10848 10976 11074 11232 11466 11648 11752 12096 12204 12288 12348 12544 12656 13104 13221 13312 13377 13824 14112 14238 14336 14464 14742 14976 15288 15876 16128 16272 16384 16464 16611 16848 17199 17472 17628 17836 18144 18306 18432 18522 18816 18984 19656 19968 20384 20566 20736 21168 21357 21504 21696 21952 22148 22464 22932 23296 23504 24192 24408 24576 24696 25088 25312 26208 26442 26624 26754 27648 27783 28224 28476 28672 28928 29484 29952 30576 30849 31752 32256 32544 32928 33222 33696 34398 34944 35256 35672 36288 36612 36864 37044 37632 37968 38759 39312 39663 39936 40131 40768 41132 41472 42336 42714 43008 43392 43904 44296 44928 45864 46592 47008 48384 48816 49152 49392 49833 50176 50624 51597 52416 52884 53248 53508 55296 55566 56448 56952 57344 57856 58968 59904 61152 61698 63504 64071 64512 65088 65856 66444 67392 68796 69888 70512 71344 71981 72576 73224 73728 74088 75264 75936 77518 78624 79326 79872 80262 81536 82264 82944 84672 85428 86016 86784 87808 88592 89856 91728 92547 93184 94016 96768 97632 98784 99666 100352 101248 103194 104832 105768 106496 107016 110592 111132 112896 113904 114688 115712 116277 117936 118989 119808 120393 122304 123396 127008 128142 129024 130176 131712 132888 134784 137592 139776 141024 142688 143962 145152 146448 147456 148176 149499 150528 151872 155036 157248 158652 159744 160524 163072 164528 165888 169344 170856 172032 173568 175616 177184 179712 183456 185094 186368 188032 193536 195264 197568 199332 200704 202496 206388 209664 211536 212992 214032 215943 221184 222264 225792 227808 231424 232554 235872 237978 239616 240786 244608 246792 254016 256284 258048 260352 263424 265776 269568 275184 277641 279552 282048 285376 287924 290304 292896 296352 298998 301056 303744 310072 314496 317304 319488 321048 326144 329056 331776 338688 341712 344064 347136 348831 351232 354368 359424 361179 366912 370188 372736 376064 387072 390528 395136 398664 401408 404992 412776 419328 423072 428064 431886 442368 444528 448497 451584 455616 462848 465108 471744 475956 479232 481572 489216 493584 503867 508032 512568 516096 520704 526848 531552 539136 550368 555282 559104 564096 570752 575848 580608 585792 592704 597996 602112 607488 620144 628992 634608 638976 642096 647829 652288 658112 663552 677376 683424 694272 697662 702464 708736 718848 722358 733824 740376 745472 752128 774144 781056 790272 797328 802816 809984 825552 832923 838656 846144 856128 863772 889056 896994 903168 911232 925696 930216 943488 951912 958464 963144 978432 987168 1007734 1016064 1025136 1032192 1041408 1046493 1053696 1063104 1078272 1100736 1110564 1118208 1128192 1141504 1151696 1161216 1171584 1185408 1195992 1204224 1214976 1240288 1257984 1269216 1284192 1295658 1304576 1316224 1327104 1354752 1366848 1388544 1395324 1404928 1417472 1437696 1444716 1467648 1480752 1490944 1504256 1511601 1548288 1562112 1580544 1594656 1619968 1651104 1665846 1677312 1692288 1712256 1727544 1778112 1793988 1806336 1822464 1851392 1860432 1886976 1903824 1916928 1926288 1943487 1956864 1974336 2015468 2032128 2050272 2082816 2092986 2107392 2126208 2156544 2201472 2221128 2236416 2256384 2283008 2303392 2322432 2343168 2370816 2391984 2408448 2429952 2480576 2515968 2538432 2568384 2591316 2609152 2632448 2709504 2733696 2777088 2790648 2809856 2834944 2875392 2889432 2935296 2961504 3008512 3023202 3096576 3124224 3139479 3161088 3189312 3239936 3302208 3331692 3354624 3384576 3424512 3455088 3556224 3587976 3612672 3644928 3720864 3773952 3807648 3852576 3886974 3913728 3948672 4030936 4064256 4100544 4165632 4185972 4214784 4252416 4313088 4402944 4442256 4472832 4512768 4534803 4566016 4606784 4644864 4686336 4741632 4783968 4859904 4961152 5031936 5076864 5136768 5182632 5218304 5264896 5419008 5467392 5554176 5581296 5619712 5669888 5750784 5778864 5830461 5870592 5923008 6017024 6046404 6248448 6278958 6322176 6378624 6479872 6604416 6663384 6709248 6769152 6849024 6910176 7112448 7175952 7225344 7289856 7441728 7547904 7615296 7705152 7773948 7827456 7897344 8061872 8128512 8201088 8331264 8371944 8429568 8504832 8626176 8805888 8884512 9025536 9069606 9132032 9213568 9289728 9372672 9483264 9567936 9719808 9922304 10063872 10153728 10273536 10365264 10436608 10529792 10838016 10934784 11162592 11339776 11557728 11660922 11741184 11846016 12034048 12092808 12496896 12557916 12644352 12757248 12959744 13208832 13326768 13418496 13538304 13604409 13698048 13820352 14224896 14351904 14579712 14883456 15095808 15230592 15410304 15547896 15654912 15794688 16123744 16257024 16402176 16662528 16743888 16859136 17009664 17252352 17611776 17769024 18051072 18139212 18264064 18427136 18745344 18966528 19135872 19439616 19844608 20127744 20307456 20547072 20730528 21059584 21676032 21869568 22325184 22679552 23115456 23321844 23482368 23692032 24068096 24185616 24993792 25115832 25288704 25514496 26417664 26653536 27076608 27208818 27396096 27640704 28449792 28703808 29159424 29766912 30191616 30461184 30820608 31095792 31309824 31589376 32247488 32514048 32804352 33487776 34019328 35223552 35538048 36102144 36278424 36528128 36854272 37490688 37933056 38271744 38879232 39689216 40255488 40614912 40813227 41094144 41461056 42119168 43739136 44650368 45359104 46230912 46643688 46964736 47384064 48371232 49987584 50231664 50577408 51028992 52835328 53307072 54153216 54417636 54792192 55281408 56899584 57407616 58318848 59533824 60383232 60922368 61641216 62191584 63178752 64494976 65028096 65608704 66975552 68038656 70447104 71076096 72204288 72556848 73056256 73708544 74981376 75866112 76543488 79378432 81229824 81626454 82188288 82922112 84238336 87478272 89300736 90718208 92461824 93287376 93929472 94768128 96742464 100463328 102057984 105670656 106614144 108306432 108835272 109584384 110562816 113799168 114815232 116637696 119067648 120766464 121844736 123282432 124383168 126357504 128989952 131217408 133951104 136077312 140894208 142152192 145113696 147417088 149962752 151732224 153086976 158756864 162459648 163252908 164376576 165844224 168476672 174956544 178601472 184923648 186574752 189536256 193484928 200926656 204115968 211341312 213228288 216612864 217670544 219168768 221125632 227598336 229630464 238135296 243689472 246564864 248766336 252715008 257979904 262434816 267902208 272154624 281788416 284304384 290227392 294834176 306173952 317513728 324919296 326505816 328753152 331688448 349913088 357202944 369847296 373149504 379072512 386969856 401853312 408231936 422682624 426456576 435341088 442251264 455196672 459260928 476270592 487378944 493129728 497532672 505430016 515959808 524869632 535804416 568608768 580454784 589668352 612347904 635027456 649838592 653011632 657506304 663376896 714405888 739694592 746299008 758145024 773939712 803706624 816463872 845365248 852913152 870682176 884502528 918521856 952541184 974757888 986259456 995065344 1031919616 1049739264 1071608832 1137217536 1160909568 1179336704 1224695808 1306023264 1326753792 1428811776 1479389184 1492598016 1516290048 1547879424 1607413248 1705826304 1741364352 1769005056 1837043712 1905082368 1949515776 1972518912 1990130688 2063839232 2143217664 2274435072 2321819136 2449391616 2612046528 2653507584 2857623552 2958778368 2985196032 3095758848 3214826496 3411652608 3482728704 3538010112 3674087424 3980261376 4127678464 4286435328 4548870144 4643638272 5224093056 5307015168 5715247104 5917556736 5970392064 6191517696 6429652992 6823305216 6965457408 7348174848 7960522752 8255356928 8572870656 9287276544 10448186112 10614030336 11940784128 12383035392 12859305984 13646610432 13930914816 15921045504 17145741312 18574553088 20896372224 23881568256 24766070784 25718611968 27861829632 31842091008 37149106176 41792744448 47763136512 51437223936 55723659264 74298212352 83585488896 95526273024 111447318528 167170977792 222894637056 334341955584 668683911168
• Sum of all divisors σ(n): 2531132788800
• Sum of proper divisors (its aliquot sum) s(n): 1862448877632
• 668683911168 is an abundant number, because the sum of its proper divisors (1862448877632) is greater than itself. Its abundance is 1193764966464

Bases of 668683911168

• Binary: 1001101110110000101010101100000000000000₂
• Hexadecimal: 0x9BB0AAC000
• Base-36: 8J6T4W00

Squares and roots of 668683911168

• 668683911168 squared (668683911168²) is 447138173054933715124224
• 668683911168 cubed (668683911168³) is 298994102390887107548254819300933632
• The square root of 668683911168 is 817730.9528004919
• The cube root of 668683911168 is 8744.6069021185

Scales and comparisons

• 668,683,911,168 seconds is equal to 21,262 years, 4 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 668,683,911,168 would take you about forty-two thousand, five hundred twenty-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 668683911168 cubic inches would be around 728.7 feet tall.

Recreational maths with 668683911168

• 668683911168 backwards is 861119386866
• 668683911168 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 668683911168's digits is 63
• More coming soon!