668438967168

Names of 668438967168

• Cardinal: 668438967168 can be written as Six hundred sixty-eight billion, four hundred thirty-eight million, nine hundred sixty-seven thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 6.68438967168 × 10¹¹

Factors of 668438967168

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 885

Divisors of 668438967168

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 31 32 36 38 42 48 54 56 57 62 63 64 72 76 81 84 93 96 108 112 114 124 126 128 133 144 152 162 168 171 186 189 192 216 217 224 228 248 252 266 279 288 304 324 336 342 361 372 378 384 399 432 434 448 456 496 504 513 532 558 567 576 589 608 648 651 672 684 722 744 756 798 823 837 864 868 896 912 992 1008 1026 1064 1083 1116 1134 1152 1178 1197 1216 1296 1302 1344 1368 1444 1488 1512 1539 1596 1646 1674 1728 1736 1767 1824 1953 1984 2016 2052 2128 2166 2232 2268 2356 2394 2432 2469 2511 2527 2592 2604 2688 2736 2888 2976 3024 3078 3192 3249 3292 3348 3456 3472 3534 3591 3648 3906 3968 4032 4104 4123 4256 4332 4464 4536 4712 4788 4938 5022 5054 5184 5208 5301 5472 5761 5776 5859 5952 6048 6156 6384 6498 6584 6696 6944 7068 7182 7296 7407 7581 7812 8064 8208 8246 8512 8664 8928 9072 9424 9576 9747 9876 10044 10108 10368 10416 10602 10773 10944 11191 11522 11552 11718 11904 12096 12312 12369 12768 12996 13168 13392 13888 14136 14364 14814 15162 15624 15637 15903 16416 16492 17024 17283 17328 17577 17856 18144 18848 19152 19494 19752 20088 20216 20832 21204 21546 21888 22221 22382 22743 23044 23104 23436 24192 24624 24738 25513 25536 25992 26336 26784 27776 28272 28728 29241 29628 30324 31248 31274 31806 32832 32984 33573 34566 34656 35154 35712 36288 37107 37696 38304 38988 39504 40176 40432 41664 42408 43092 44442 44764 45486 46088 46208 46872 46911 47709 49248 49476 51026 51072 51849 51984 52672 53568 56544 57456 58482 59256 60648 62496 62548 63612 65664 65968 66663 67146 68229 69132 69312 70308 72576 74214 75392 76539 76608 77976 78337 79008 80352 80864 83328 84816 86184 88884 89528 90972 92176 93744 93822 95418 98496 98952 100719 102052 103698 103968 105344 107136 109459 111321 113088 114912 116964 118512 121296 124992 125096 127224 131936 133326 134292 136458 138264 138624 140616 140733 148428 153078 153216 155547 155952 156674 158016 160704 161728 169632 172368 177768 178591 179056 181944 184352 187488 187644 190836 196992 197904 201438 204104 204687 207396 207936 218918 222642 226176 229617 229824 233928 235011 237024 242592 249984 250192 254448 263872 266652 268584 272916 276528 281232 281466 296856 297103 302157 306156 311094 311904 313348 316032 321408 323456 328377 333963 339264 344736 355536 357182 358112 363888 368704 374976 375288 381672 395808 402876 408208 409374 414792 415872 422199 437836 445284 459234 459648 466641 467856 470022 474048 484747 485184 500384 508896 527744 533304 535773 537168 545832 553056 562464 562932 593712 594206 604314 612312 622188 623808 626696 656754 667926 678528 688851 689472 705033 711072 714364 716224 727776 737408 749952 750576 763344 791616 805752 816416 818748 829584 844398 875672 890568 891309 906471 918468 933282 935712 940044 948096 969494 970368 985131 1000768 1017792 1066608 1071546 1074336 1091664 1106112 1124928 1125864 1187424 1188412 1208628 1224624 1244376 1247616 1253392 1266597 1313508 1335852 1377702 1378944 1410066 1422144 1428728 1432448 1454241 1455552 1501152 1526688 1583232 1607319 1611504 1632832 1637496 1659168 1688796 1751344 1781136 1782618 1812942 1836936 1866564 1871424 1880088 1938988 1970262 2001536 2035584 2066553 2079721 2115099 2133216 2143092 2148672 2183328 2212224 2249856 2251728 2374848 2376824 2417256 2449248 2488752 2506784 2533194 2627016 2671704 2673927 2755404 2820132 2844288 2857456 2908482 2911104 2955393 3002304 3053376 3214638 3223008 3265664 3274992 3318336 3377592 3393229 3502688 3562272 3565236 3625884 3673872 3733128 3742848 3760176 3877976 3940524 4133106 4159442 4230198 4266432 4286184 4297344 4362723 4366656 4503456 4749696 4753648 4821957 4834512 4898496 4977504 5013568 5066388 5254032 5343408 5347854 5510808 5640264 5714912 5816964 5910786 6004608 6106752 6239163 6345297 6429276 6446016 6549984 6636672 6755184 6786458 7005376 7124544 7130472 7251768 7347744 7466256 7520352 7755952 7881048 8021781 8266212 8318884 8460396 8532864 8572368 8725446 8733312 8866179 9006912 9210193 9507296 9643914 9669024 9796992 9955008 10027136 10132776 10179687 10508064 10686816 10695708 11021616 11280528 11429824 11633928 11821572 12478326 12690594 12858552 12892032 13088169 13099968 13510368 13572916 14010752 14249088 14260944 14465871 14503536 14695488 14932512 15040704 15511904 15762096 16043562 16532424 16637768 16920792 17144736 17450892 17732358 18013824 18420386 18717489 19014592 19287828 19338048 19910016 20265552 20359374 21016128 21373632 21391416 22043232 22561056 22859648 23267856 23643144 24065343 24956652 25381188 25717104 26176338 26199936 27020736 27145832 27630579 28521888 28931742 29007072 29390976 29865024 30081408 30539061 31023808 31524192 32087124 33064848 33275536 33841584 34289472 34901784 35464716 36840772 37434978 38029184 38575656 38676096 39264507 40531104 40718748 42032256 42747264 42782832 44086464 45122112 46535712 47286288 48130686 49913304 50762376 51434208 52352676 54041472 54291664 55261158 56152467 57043776 57863484 58014144 59730048 61078122 62047616 63048384 64174248 64471351 66129696 66551072 67683168 68578944 69803568 70929432 73681544 74869956 77151312 78529014 81062208 81437496 82891737 85565664 88172928 90244224 91617183 93071424 94572576 96261372 99826608 101524752 102868416 104705352 108583328 110522316 112304934 114087552 115726968 116028288 122156244 126096768 128348496 128942702 132259392 133102144 135366336 139607136 141858864 147363088 149739912 154302624 157058028 162124416 162874992 165783474 168457401 171131328 183234366 186142848 189145152 192522744 193414053 199653216 203049504 205736832 209410704 217166656 221044632 224609868 231453936 244312488 248675211 256696992 257885404 264518784 266204288 270732672 274851549 279214272 283717728 294726176 299479824 308605248 314116056 325749984 331566948 336914802 342262656 366468732 378290304 385045488 386828106 399306432 406099008 418821408 434333312 442089264 449219736 462907872 488624976 497350422 513393984 515770808 549703098 558428544 567435456 580242159 589452352 598959648 617210496 628232112 651499968 663133896 673829604 732937464 746025633 770090976 773656212 798612864 812198016 837642816 884178528 898439472 925815744 977249952 994700844 1026787968 1031541616 1099406196 1134870912 1160484318 1178904704 1197919296 1256464224 1302999936 1326267792 1347659208 1465874928 1492051266 1540181952 1547312424 1675285632 1740726477 1768357056 1796878944 1851631488 1954499904 1989401688 2063083232 2198812392 2320968636 2395838592 2512928448 2652535584 2695318416 2931749856 2984102532 3080363904 3094624848 3481452954 3536714112 3593757888 3908999808 3978803376 4126166464 4397624784 4641937272 5025856896 5222179431 5305071168 5390636832 5863499712 5968205064 6189249696 6962905908 7187515776 7957606752 8252332928 8795249568 9283874544 10444358862 10610142336 10781273664 11726999424 11936410128 12378499392 13925811816 15915213504 17590499136 18567749088 20888717724 21562547328 23872820256 24756998784 27851623632 31830427008 35180998272 37135498176 41777435448 47745640512 55703247264 74270996352 83554870896 95491281024 111406494528 167109741792 222812989056 334219483584 668438967168
• Sum of all divisors σ(n): 2479805982720
• Sum of proper divisors (its aliquot sum) s(n): 1811367015552
• 668438967168 is an abundant number, because the sum of its proper divisors (1811367015552) is greater than itself. Its abundance is 1142928048384

Bases of 668438967168

• Binary: 1001101110100010000100010011001110000000₂
• Hexadecimal: 0x9BA2113380
• Base-36: 8J2RAW00

Squares and roots of 668438967168

• 668438967168 squared (668438967168²) is 446810652828622581940224
• 668438967168 cubed (668438967168³) is 298665651296424296380204780074565632
• The square root of 668438967168 is 817581.1685502547
• The cube root of 668438967168 is 8743.5390330569

Scales and comparisons

• 668,438,967,168 seconds is equal to 21,254 years, 15 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 668,438,967,168 would take you about forty-two thousand, five hundred eight 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 668438967168 cubic inches would be around 728.6 feet tall.

Recreational maths with 668438967168

• 668438967168 backwards is 861769834866
• 668438967168 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 668438967168's digits is 72
• More coming soon!