668443775914910016

Names of 668443775914910016

• Cardinal: 668443775914910016 can be written as Six hundred sixty-eight quadrillion, four hundred forty-three trillion, seven hundred seventy-five billion, nine hundred fourteen million, nine hundred ten thousand and sixteen.

Scientific notation

• Scientific notation: 6.68443775914910016 × 10¹⁷

Factors of 668443775914910016

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1499

Divisors of 668443775914910016

• Number of divisors d(n): 588
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 144 147 168 189 192 196 216 224 252 288 294 336 343 378 392 432 441 448 504 576 588 672 686 756 784 864 882 1008 1029 1176 1323 1344 1372 1487 1512 1568 1728 1764 2016 2058 2352 2401 2646 2744 2974 3024 3087 3136 3528 4032 4116 4461 4704 4802 5292 5488 5948 6048 6174 7056 7203 8232 8922 9261 9408 9604 10409 10584 10976 11896 12096 12348 13383 14112 14406 16464 16807 17844 18522 19208 20818 21168 21609 21952 23792 24696 26766 28224 28812 31227 32928 33614 35688 37044 38416 40149 41636 42336 43218 47584 49392 50421 53532 57624 62454 64827 65856 67228 71376 72863 74088 76832 80298 83272 84672 86436 93681 95168 98784 100842 107064 115248 117649 124908 129654 134456 142752 145726 148176 151263 153664 160596 166544 172872 187362 197568 201684 214128 218589 230496 235298 249816 259308 268912 281043 285504 291452 296352 302526 321192 333088 345744 352947 374724 403368 428256 437178 453789 460992 470596 499632 510041 518616 537824 562086 582904 592704 605052 642384 655767 666176 691488 705894 749448 806736 856512 874356 907578 941192 999264 1020082 1037232 1058841 1075648 1124172 1165808 1210104 1284768 1311534 1382976 1411788 1498896 1530123 1613472 1748712 1815156 1882384 1967301 1998528 2040164 2074464 2117682 2211169 2248344 2331616 2420208 2569536 2623068 2823576 2997792 3060246 3176523 3226944 3497424 3570287 3630312 3764768 3934602 4080328 4148928 4235364 4422338 4496688 4590369 4663232 4840416 5246136 5647152 5995584 6120492 6353046 6633507 6994848 7140574 7260624 7529536 7869204 8160656 8470728 8844676 8993376 9180738 9680832 10492272 10710861 11294304 12240984 12706092 13267014 13771107 13989696 14281148 14521248 15478183 15738408 16321312 16941456 17689352 17986752 18361476 19900521 20984544 21421722 22588608 24481968 24992009 25412184 26534028 27542214 28562296 29042496 30956366 31476816 32132583 32642624 33882912 35378704 36722952 39801042 41969088 42843444 46434549 48963936 49984018 50824368 53068056 55084428 57124592 59701563 61912732 62953632 64265166 67765824 70757408 73445904 74976027 79602084 85686888 92869098 96397749 97927872 99968036 101648736 106136112 108347281 110168856 114249184 119403126 123825464 125907264 128530332 139303647 141514816 146891808 149952054 159204168 171373776 174944063 185738196 192795498 199936072 203297472 212272224 216694562 220337712 224928081 228498368 238806252 247650928 257060664 278607294 293783616 299904108 318408336 325041843 342747552 349888126 371476392 385590996 399872144 417910941 424544448 433389124 440675424 449856162 477612504 495301856 514121328 524832189 557214588 599808216 636816672 650083686 674784243 685495104 699776252 742952784 758430967 771181992 799744288 835821882 866778248 881350848 899712324 955225008 975125529 990603712 1028242656 1049664378 1114429176 1199616432 1273633344 1300167372 1349568486 1399552504 1485905568 1516861934 1542363984 1574496567 1599488576 1671643764 1733556496 1799424648 1910450016 1950251058 2056485312 2099328756 2228858352 2275292901 2399232864 2600334744 2699136972 2799105008 2925376587 2971811136 3033723868 3084727968 3148993134 3343287528 3467112992 3598849296 3820900032 3900502116 4198657512 4457716704 4550585802 4723489701 4798465728 5200669488 5309016769 5398273944 5598210016 5850753174 6067447736 6169455936 6297986268 6686575056 6825878703 6934225984 7197698592 7801004232 8397315024 8915433408 9101171604 9446979402 10401338976 10618033538 10796547888 11196420032 11701506348 12134895472 12595972536 13373150112 13651757406 14395397184 15602008464 15927050307 16794630048 18202343208 18893958804 20477636109 20802677952 21236067076 21593095776 23403012696 24269790944 25191945072 26746300224 27303514812 31204016928 31854100614 33589260096 36404686416 37163117383 37787917608 40955272218 42472134152 43186191552 46806025392 47781150921 48539581888 50383890144 54607029624 62408033856 63708201228 72809372832 74326234766 75575835216 81910544436 84944268304 93612050784 95562301842 100767780288 109214059248 111489352149 127416402456 143343452763 145618745664 148652469532 151151670432 163821088872 169888536608 187224101568 191124603684 218428118496 222978704298 254832804912 260141821681 286686905526 297304939064 302303340864 327642177744 334468056447 339777073216 382249207368 436856236992 445957408596 509665609824 520283643362 573373811052 594609878128 655284355488 668936112894 764498414736 780425465043 891914817192 1003404169341 1019331219648 1040567286724 1146747622104 1189219756256 1310568710976 1337872225788 1528996829472 1560850930086 1783829634384 2006808338682 2081134573448 2293495244208 2341276395129 2378439512512 2675744451576 3057993658944 3121701860172 3567659268768 4013616677364 4162269146896 4586990488416 4682552790258 5351488903152 6243403720344 7023829185387 7135318537536 8027233354728 8324538293792 9173980976832 9365105580516 10702977806304 12486807440688 14047658370774 16054466709456 16649076587584 18730211161032 21405955612608 24973614881376 28095316741548 32108933418912 37460422322064 49947229762752 56190633483096 64217866837824 74920844644128 112381266966192 149841689288256 224762533932384 449525067864768
• Sum of all divisors σ(n): 669537060369238168
• Sum of proper divisors (its aliquot sum) s(n): 1093284454328152
• 668443775914910016 is a deficient number, because the sum of its proper divisors (1093284454328152) is less than itself. Its deficiency is 667350491460581864

Bases of 668443775914910016

• Binary: 100101000110110010100001001010010111101110101010000101000000₂
• Hexadecimal: 0x946CA1297BAA140
• Base-36: 52TRJJDSVYO0

Squares and roots of 668443775914910016

• 668443775914910016 squared (668443775914910016²) is 446817081559382435597761137377120256
• 668443775914910016 cubed (668443775914910016³) is 298672097140833905158229725319522474311485691450884096
• The square root of 668443775914910016 is 817584109.3825821271
• 668443775914910016 is a perfect cube number. Its cube root is 874356

Scales and comparisons

• 668,443,775,914,910,016 seconds is equal to 21,254,444,441 years, 38 weeks, 2 days, 22 hours, 33 minutes, 36 seconds.
• To count from 1 to 668,443,775,914,910,016 would take you about sixty-three billion, seven hundred sixty-three million, three hundred thirty-three thousand, three hundred twenty-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 668443775914910016 cubic inches would be around 72863 feet tall.

Recreational maths with 668443775914910016

• 668443775914910016 backwards is 610019419577344866
• The number of decimal digits it has is: 18
• The sum of 668443775914910016's digits is 81
• More coming soon!