106638706322237440

Names of 106638706322237440

• Cardinal: 106638706322237440 can be written as One hundred six quadrillion, six hundred thirty-eight trillion, seven hundred six billion, three hundred twenty-two million, two hundred thirty-seven thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.0663870632223744 × 10¹⁷

Factors of 106638706322237440

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 322622850

Divisors of 106638706322237440

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 169 191 208 256 260 320 338 382 416 512 520 640 676 764 832 845 955 1024 1040 1280 1352 1528 1664 1690 1910 2048 2080 2483 2560 2704 3056 3328 3380 3820 4160 4966 5120 5408 6112 6656 6760 7640 8320 9932 10240 10816 12224 12415 13312 13520 15280 16640 19864 21632 24448 24830 26624 27040 30560 32279 33280 39728 43264 48896 49660 54080 61120 64558 66560 79456 86528 97792 99320 108160 122240 129116 133120 158912 161395 173056 195584 198640 216320 244480 258232 317824 322790 346112 391168 397280 432640 488960 516464 635648 645580 794560 865280 977920 1032928 1271296 1291160 1589120 1730560 1955840 2065856 2542592 2582320 3178240 4131712 5085184 5164640 6356480 8263424 10329280 12712960 16526848 20658560 25425920 33053696 41317120 66107392 82634240 165268480 322622639 330536960 645245278 1290490556 1613113195 2580981112 3226226390 4194094307 5161962224 6452452780 8388188614 10323924448 12904905560 16776377228 20647848896 20970471535 25809811120 33552754456 41295697792 41940943070 51619622240 54523225991 61620924049 67105508912 82591395584 83881886140 103239244480 109046451982 123241848098 134211017824 165182791168 167763772280 206478488960 218092903964 246483696196 268422035648 272616129955 308104620245 330365582336 335527544560 412956977920 436185807928 492967392392 536844071296 545232259910 616209240490 660731164672 671055089120 801072012637 825913955840 872371615856 985934784784 1073688142592 1090464519820 1232418480980 1342110178240 1602144025274 1651827911680 1744743231712 1971869569568 2147376285184 2180929039640 2464836961960 2684220356480 3204288050548 3303655823360 3489486463424 3943739139136 4005360063185 4294752570368 4361858079280 4929673923920 5368440712960 6408576101096 6978972926848 7887478278272 8010720126370 8589505140736 8723716158560 9859347847840 10413936164281 10736881425920 12817152202192 13957945853696 15774956556544 16021440252740 17447432317120 19718695695680 20827872328562 21473762851840 25634304404384 27915891707392 31549913113088 32042880505480 34894864634240 39437391391360 41655744657124 42947525703680 51268608808768 52069680821405 55831783414784 63099826226176 64085761010960 69789729268480 78874782782720 83311489314248 102537217617536 104139361642810 111663566829568 126199652452352 128171522021920 139579458536960 157749565565440 166622978628496 205074435235072 208278723285620 256343044043840 279158917073920 315499131130880 333245957256992 410148870470144 416557446571240 512686088087680 558317834147840 630998262261760 666491914513984 820297740940288 833114893142480 1025372176175360 1332983829027968 1640595481880576 1666229786284960 2050744352350720 2665967658055936 3332459572569920 4101488704701440 5331935316111872 6664919145139840 8202977409402880 10663870632223744 13329838290279680 21327741264447488 26659676580559360 53319353161118720 106638706322237440
• Sum of all divisors σ(n): 278517389272012800
• Sum of proper divisors (its aliquot sum) s(n): 171878682949775360
• 106638706322237440 is an abundant number, because the sum of its proper divisors (171878682949775360) is greater than itself. Its abundance is 65239976627537920

Bases of 106638706322237440

• Binary: 101111010110110110101011010100001101001001110100000000000₂
• Hexadecimal: 0x17ADB56A1A4E800
• Base-36: T609LDQGDTS

Squares and roots of 106638706322237440

• 106638706322237440 squared (106638706322237440²) is 11371813686080403356542247737753600
• 106638706322237440 cubed (106638706322237440³) is 1212675500021128556259234744865052413701111414784000
• The square root of 106638706322237440 is 326555824.2050468161
• The cube root of 106638706322237440 is 474210.9986599753

Scales and comparisons

• 106,638,706,322,237,440 seconds is equal to 3,390,781,005 years, 45 weeks, 2 days, 10 minutes, 40 seconds.
• To count from 1 to 106,638,706,322,237,440 would take you about ten billion, one hundred seventy-two million, three hundred forty-three thousand and seventeen 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 106638706322237440 cubic inches would be around 39517.6 feet tall.

Recreational maths with 106638706322237440

• 106638706322237440 backwards is 044732223607836601
• 106638706322237440 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 106638706322237440's digits is 64
• More coming soon!