420826618664561664

Names of 420826618664561664

• Cardinal: 420826618664561664 can be written as Four hundred twenty quadrillion, eight hundred twenty-six trillion, six hundred eighteen billion, six hundred sixty-four million, five hundred sixty-one thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 4.20826618664561664 × 10¹⁷

Factors of 420826618664561664

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 438

Divisors of 420826618664561664

• Number of divisors d(n): 264
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 433 512 576 768 864 866 1024 1152 1299 1536 1728 1732 2304 2598 3072 3456 3464 3897 4608 5196 6912 6928 7794 9216 10392 11691 13824 13856 15588 20784 23382 27648 27712 31176 41568 46764 55424 62352 83136 93528 110848 124704 166272 187056 187489 221696 249408 332544 374112 374978 443392 498816 562467 665088 748224 749956 997632 1124934 1330176 1496448 1499912 1687401 1995264 2249868 2992896 2999824 3374802 3990528 4499736 5062203 5985792 5999648 6749604 8999472 10124406 11971584 11999296 13499208 17998944 20248812 23998592 26998416 35997888 40497624 47997184 53996832 71995776 80995248 81182737 95994368 107993664 143991552 161990496 162365474 191988736 215987328 243548211 287983104 323980992 324730948 431974656 487096422 575966208 647961984 649461896 730644633 863949312 974192844 1295923968 1298923792 1461289266 1727898624 1948385688 2191933899 2591847936 2597847584 2922578532 3896771376 4383867798 5183695872 5195695168 5845157064 7793542752 8767735596 10391390336 11690314128 15587085504 17535471192 20782780672 23380628256 31174171008 35070942384 35152125121 41565561344 46761256512 62348342016 70141884768 70304250242 83131122688 93522513024 105456375363 124696684032 140283769536 140608500484 187045026048 210912750726 249393368064 280567539072 281217000968 316369126089 374090052096 421825501452 561135078144 562434001936 632738252178 748180104192 843651002904 949107378267 1122270156288 1124868003872 1265476504356 1687302005808 1898214756534 2244540312576 2249736007744 2530953008712 3374604011616 3796429513068 4499472015488 5061906017424 6749208023232 7592859026136 8998944030976 10123812034848 13498416046464 15185718052272 15220870177393 17997888061952 20247624069696 26996832092928 30371436104544 30441740354786 35995776123904 40495248139392 45662610532179 53993664185856 60742872209088 60883480709572 80990496278784 91325221064358 107987328371712 121485744418176 121766961419144 136987831596537 161980992557568 182650442128716 242971488836352 243533922838288 273975663193074 323961985115136 365300884257432 410963494789611 485942977672704 487067845676576 547951326386148 730601768514864 821926989579222 971885955345408 974135691353152 1095902652772296 1461203537029728 1643853979158444 1948271382706304 2191805305544592 2922407074059456 3287707958316888 3896542765412608 4383610611089184 5844814148118912 6575415916633776 7793085530825216 8767221222178368 11689628296237824 13150831833267552 15586171061650432 17534442444356736 23379256592475648 26301663666535104 35068884888713472 46758513184951296 52603327333070208 70137769777426944 105206654666140416 140275539554853888 210413309332280832 420826618664561664
• Sum of all divisors σ(n): 1249169768759487120
• Sum of proper divisors (its aliquot sum) s(n): 828343150094925456
• 420826618664561664 is an abundant number, because the sum of its proper divisors (828343150094925456) is greater than itself. Its abundance is 407516531430363792

Bases of 420826618664561664

• Binary: 10111010111000100111001010001111101100001111010110000000000₂
• Hexadecimal: 0x5D713947D87AC00
• Base-36: 373ML3QBKLC0

Squares and roots of 420826618664561664

• 420826618664561664 squared (420826618664561664²) is 177095042976648399468786909258448896
• 420826618664561664 cubed (420826618664561664³) is 74526308118118175370275565079819681307725532384722944
• The square root of 420826618664561664 is 648711506.4992771223
• The cube root of 420826618664561664 is 749378.2216511035

Scales and comparisons

• 420,826,618,664,561,664 seconds is equal to 13,380,984,771 years, 17 weeks, 2 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 420,826,618,664,561,664 would take you about forty billion, one hundred forty-two million, nine hundred fifty-four thousand, three hundred fourteen 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 420826618664561664 cubic inches would be around 62448.2 feet tall.

Recreational maths with 420826618664561664

• 420826618664561664 backwards is 466165466816628024
• The number of decimal digits it has is: 18
• The sum of 420826618664561664's digits is 81
• More coming soon!