22123082171606416

Names of 22123082171606416

• Cardinal: 22123082171606416 can be written as Twenty-two quadrillion, one hundred twenty-three trillion, eighty-two billion, one hundred seventy-one million, six hundred six thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 2.2123082171606416 × 10¹⁶

Factors of 22123082171606416

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 264005

Divisors of 22123082171606416

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 61 73 77 88 91 104 112 122 143 146 154 176 182 208 244 286 292 308 364 427 488 511 572 584 616 671 728 793 803 854 949 976 1001 1022 1144 1168 1181 1232 1342 1456 1586 1606 1708 1898 2002 2044 2288 2362 2684 3172 3212 3416 3796 4004 4088 4453 4697 4724 5368 5551 5621 6344 6424 6643 6832 7592 8008 8176 8267 8723 8906 9394 9448 10439 10736 11102 11242 12688 12848 12991 13286 15184 15353 16016 16534 17446 17812 18788 18896 20878 22204 22484 25982 26572 30706 31171 33068 34892 35624 37576 41756 44408 44968 48983 51964 53144 57889 61061 61412 62342 66136 69784 71248 72041 73073 75152 83512 86213 88816 89936 90937 97966 103928 106288 107471 115778 122122 122824 124684 132272 139568 144082 146146 167024 168883 172426 181874 195932 207856 214942 231556 244244 245648 249368 262657 288164 292292 337766 342881 344852 363748 391864 405223 429884 463112 488488 498736 504287 525314 576328 584584 603491 636779 675532 685762 689704 727496 783728 792451 810446 859768 926224 936533 948343 976976 1008574 1050628 1120769 1152656 1169168 1182181 1206982 1273558 1351064 1371524 1379408 1454992 1584902 1620892 1719536 1838599 1873066 1896686 2017148 2101256 2241538 2364362 2413964 2547116 2702128 2743048 2889227 3169804 3241784 3414541 3677198 3746132 3793372 4034296 4202512 4457453 4483076 4728724 4827928 5094232 5258993 5486096 5547157 5778454 6339608 6483568 6555731 6638401 6829082 7354396 7492264 7586744 7845383 8068592 8914906 8966152 9457448 9655856 10188464 10301863 10517986 11094314 11556908 12328459 12679216 13111462 13276802 13658164 14708792 14984528 15173488 15690766 16022077 17829812 17932304 18914896 19173961 20224589 20603726 21035972 22188628 23113816 23901787 24656918 26222924 26553604 27316328 29417584 31381532 32044154 35659624 36812951 37559951 38347922 40449178 41207452 42071944 44377256 46227632 47803574 49313836 52445848 53107208 54632656 57848923 62763064 64088308 68366909 71319248 72113041 73625902 75119902 76695844 80898356 82414904 84143888 86299213 88754512 95607148 98627672 104891696 106214416 112154539 115697846 125526128 128176616 134217727 136733818 144226082 147251804 150239804 153391688 161796712 164829808 172598426 176242847 191214296 197255344 208287001 210913571 224309078 231395692 249261493 256353232 262919657 268435454 273467636 288452164 294503608 300479608 306783376 310197917 323593424 345196852 352485694 382428592 404942461 416574002 421827142 448618156 462791384 478568363 498522986 525839314 536870908 546935272 576904328 589007216 600959216 620395834 690393704 704971388 752035999 809884922 833148004 843654284 897236312 925582768 957136726 997045972 1051678628 1073741816 1093870544 1153808656 1169611621 1233699929 1240791668 1380787408 1409942776 1458009007 1476394997 1504071998 1619769844 1666296008 1687308568 1744830451 1794472624 1914273452 1994091944 2103357256 2147483632 2171385419 2291157011 2339223242 2467399858 2481583336 2741876423 2819885552 2916018014 2952789994 3008143996 3239539688 3332592016 3374617136 3412177087 3489660902 3828546904 3988183888 4032572921 4206714512 4342770838 4582314022 4678446484 4934799716 4963166672 5264251993 5483752846 5832036028 5905579988 6016287992 6479079376 6824354174 6979321804 7657093808 8065145842 8187281347 8685541676 9164628044 9356892968 9869599432 10528503986 10967505692 11664072056 11811159976 12032575984 12865727831 13648708348 13958643608 15204951073 16038099077 16130291684 16374562694 17371083352 18329256088 18713785936 18922072937 19193134961 19739198864 21057007972 21935011384 22644447941 23328144112 23622319952 23885239609 25731455662 27297416696 27917287216 28228010447 30409902146 32076198154 32260583368 32749125388 34742166704 36658512176 37844145874 38386269922 42114015944 43870022768 44358302131 45288895882 47770479218 51462911324 54594833392 56456020894 60819804292 64152396308 64521166736 65498250776 75688291748 76772539844 84228031888 88716604262 90060094817 90577791764 95540958436 102925822648 106434657511 112912041788 121639608584 128304792616 130996501552 132454510559 151376583496 153545079688 158511135587 167254461803 177433208524 180120189634 181155583528 191081916872 205851645296 208142802307 212869315022 225824083576 243279217168 245986948181 249088927351 256609585232 264909021118 294377823233 302753166992 307090159376 310508114917 317022271174 334508923606 354866417048 360240379268 362311167056 382163833744 416285604614 425738630044 451648167152 491973896362 498177854702 529818042236 588755646466 621016229834 634044542348 669017847212 709732834096 720480758536 832571209228 851477260088 983947792724 996355709404 1059636084472 1170781232621 1177511292932 1242032459668 1268089084696 1338035694424 1381311324401 1440961517072 1456999616149 1665142418456 1702954520176 1721908637267 1743622491457 1967895585448 1992711418808 2060644762631 2119272168944 2341562465242 2355022585864 2484064919336 2536178169392 2676071388848 2705856429991 2762622648802 2913999232298 3238156055563 3330284836912 3443817274534 3487244982914 3935791170896 3985422837616 4121289525262 4683124930484 4710045171728 4968129838672 5411712859982 5525245297604 5827998464596 6476312111126 6887634549068 6974489965828 8242579050524 9366249860968 9669179270807 10823425719964 11050490595208 11655996929192 12952624222252 13775269098136 13948979931656 15194424568411 16485158101048 17957047217213 18732499721936 18940995009937 19338358541614 21646851439928 22100981190416 22667092388941 23311993858384 25905248444504 27550538196272 27897959863312 30388849136822 32970316202096 35914094434426 37881990019874 38676717083228 43293702879856 45334184777882 51810496889008 60777698273644 71828188868852 75763980039748 77353434166456 90668369555764 106360971978877 121555396547288 125699330520491 143656377737704 151527960079496 154706868332912 181336739111528 197527519389343 212721943957754 243110793094576 251398661040982 287312755475408 303055920158992 362673478223056 395055038778686 425443887915508 502797322081964 790110077557372 850887775831016 1005594644163928 1382692635725401 1580220155114744 1701775551662032 2011189288327856 2765385271450802 3160440310229488 5530770542901604 11061541085803208 22123082171606416
• Sum of all divisors σ(n): 59346140625902592
• Sum of proper divisors (its aliquot sum) s(n): 37223058454296176
• 22123082171606416 is an abundant number, because the sum of its proper divisors (37223058454296176) is greater than itself. Its abundance is 15099976282689760

Bases of 22123082171606416

• Binary: 1001110100110001101001101110110001011001110010110010000₂
• Hexadecimal: 0x4E98D3762CE590
• Base-36: 61TZ7N7X40G

Squares and roots of 22123082171606416

• 22123082171606416 squared (22123082171606416²) is 489430764771649655236986012365056
• 22123082171606416 cubed (22123082171606416³) is 10827717026355376020681426727259948046690943799296
• The square root of 22123082171606416 is 148738300.9571052483
• The cube root of 22123082171606416 is 280725.5086943811

Scales and comparisons

• 22,123,082,171,606,416 seconds is equal to 703,445,581 years, 45 weeks, 2 days, 16 seconds.
• To count from 1 to 22,123,082,171,606,416 would take you about two billion, one hundred ten million, three hundred thirty-six thousand, seven hundred forty-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 22123082171606416 cubic inches would be around 23393.8 feet tall.

Recreational maths with 22123082171606416

• 22123082171606416 backwards is 61460617128032122
• 22123082171606416 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 22123082171606416's digits is 52
• More coming soon!