21726846807628032

Names of 21726846807628032

• Cardinal: 21726846807628032 can be written as Twenty-one quadrillion, seven hundred twenty-six trillion, eight hundred forty-six billion, eight hundred seven million, six hundred twenty-eight thousand and thirty-two.

Scientific notation

• Scientific notation: 2.1726846807628032 × 10¹⁶

Factors of 21726846807628032

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1508

Divisors of 21726846807628032

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 283 288 294 336 343 384 392 441 448 504 566 576 588 672 686 768 784 849 882 896 1008 1029 1132 1152 1176 1213 1344 1372 1568 1698 1764 1792 1981 2016 2058 2264 2304 2352 2426 2547 2688 2744 3087 3136 3396 3528 3639 3962 4032 4116 4528 4704 4852 5094 5376 5488 5943 6174 6272 6792 7056 7278 7924 8064 8232 8491 9056 9408 9704 10188 10917 10976 11886 12348 12544 13584 13867 14112 14556 15848 16128 16464 16982 17829 18112 18816 19408 20376 21834 21952 23772 24696 25473 27168 27734 28224 29112 31696 32928 33964 35658 36224 37632 38816 40752 41601 43668 43904 47544 49392 50946 54336 55468 56448 58224 59437 63392 65856 67928 71316 72448 76419 77632 80089 81504 83202 87336 87808 95088 97069 98784 101892 108672 110936 112896 116448 118874 124803 126784 131712 135856 142632 152838 155264 160178 163008 166404 174672 178311 190176 194138 197568 203784 217344 221872 232896 237748 240267 249606 253568 263424 271712 285264 291207 305676 310528 320356 326016 332808 343279 349344 356622 380352 388276 395136 407568 416059 443744 465792 475496 480534 499212 507136 534933 543424 560623 570528 582414 611352 640712 652032 665616 686558 698688 713244 720801 760704 776552 790272 815136 832118 873621 887488 931584 950992 961068 998424 1029837 1069866 1086848 1121246 1141056 1164828 1222704 1248177 1281424 1331232 1373116 1397376 1426488 1441602 1521408 1553104 1630272 1664236 1681869 1747242 1774976 1901984 1922136 1996848 2059674 2139732 2173696 2242492 2282112 2329656 2402953 2445408 2496354 2562848 2662464 2746232 2794752 2852976 2883204 3089511 3106208 3260544 3328472 3363738 3494484 3549952 3744531 3803968 3844272 3924361 3993696 4119348 4279464 4484984 4564224 4659312 4805906 4890816 4992708 5045607 5125696 5324928 5492464 5705952 5766408 6179022 6212416 6521088 6656944 6727476 6988968 7208859 7489062 7607936 7688544 7848722 7987392 8238696 8558928 8969968 9318624 9611812 9781632 9985416 10091214 10251392 10649856 10984928 11411904 11532816 11773083 12358044 12424832 13313888 13454952 13977936 14417718 14978124 15215872 15377088 15697444 15974784 16477392 16820671 17117856 17939936 18637248 19223624 19563264 19970832 20182428 20502784 21626577 21969856 22665187 22823808 23065632 23546166 24716088 24849664 26627776 26909904 27470527 27955872 28835436 29956248 30754176 31394888 31949568 32954784 33641342 34235712 35319249 35879872 37274496 38447248 39941664 40364856 43253154 43939712 45330374 45647616 46131264 47092332 49432176 50462013 53255552 53819808 54941054 55911744 57670872 59912496 61508352 62789776 65909568 67282684 67995561 68471424 70638498 71759744 74548992 76894496 79883328 80729712 82411581 86506308 87879424 90660748 92262528 94184664 97147957 98864352 100924026 106511104 107639616 109882108 111823488 115341744 117744697 119824992 125579552 131819136 134565368 135991122 136942848 141276996 143519488 151386039 153788992 158656309 159766656 161459424 164823162 173012616 181321496 184525056 188369328 194295914 197728704 201848052 203986683 215279232 219764216 223646976 230683488 235489394 239649984 247234743 251159104 263638272 269130736 271982244 282553992 291443871 302772078 307577984 317312618 319533312 322918848 329646324 346025232 353234091 362642992 376738656 388591828 395457408 403696104 407973366 430558464 439528432 461366976 470978788 475968927 479299968 494469486 502318208 538261472 543964488 565107984 582887742 605544156 615155968 634625236 645837696 659292648 680035699 692050464 706468182 725285984 753477312 777183656 790914816 807392208 815946732 874331613 879056864 922733952 941957576 951937854 958599936 988938972 1004636416 1059702273 1076522944 1087928976 1110594163 1130215968 1165775484 1211088312 1269250472 1291675392 1318585296 1360071398 1384100928 1412936364 1427906781 1450571968 1506954624 1554367312 1614784416 1631893464 1748663226 1758113728 1845467904 1883915152 1903875708 1977877944 2040107097 2119404546 2153045888 2175857952 2221188326 2260431936 2331550968 2422176624 2538500944 2637170592 2720142796 2768201856 2825872728 2855813562 2901143936 3013909248 3108734624 3229568832 3263786928 3331782489 3497326452 3516227456 3767830304 3807751416 3955755888 4080214194 4238809092 4306091776 4351715904 4442376652 4520863872 4663101936 4760249893 4844353248 5077001888 5274341184 5440285592 5536403712 5651745456 5711627124 5802287872 6120321291 6217469248 6459137664 6527573856 6663564978 6994652904 7032454912 7535660608 7615502832 7774159141 7911511776 8160428388 8477618184 8703431808 8884753304 9041727744 9326203872 9520499786 9688706496 9995347467 10154003776 10548682368 10880571184 11303490912 11423254248 12240642582 12434938496 12918275328 13055147712 13327129956 13989305808 14280749679 15071321216 15231005664 15548318282 15823023552 16320856776 16955236368 17406863616 17769506608 18652407744 19040999572 19377412992 19990694934 20308007552 21097364736 21761142368 22606981824 22846508496 23322477423 24481285164 24869876992 26110295424 26654259912 27492871831 27978611616 28561499358 30142642432 30462011328 31096636564 31646047104 32641713552 33321749251 33910472736 35539013216 37304815488 38081999144 38754825984 39981389868 40616015104 42842249037 43522284736 45213963648 45693016992 46644954846 48962570328 52220590848 53308519824 54985743662 55957223232 57122998716 60924022656 62193273128 63292094208 65283427104 66643498502 67820945472 69967432269 71078026432 74609630976 76163998288 79962779736 82478615493 85684498074 87044569472 90427927296 91386033984 93289909692 97925140656 99965247753 106617039648 109971487324 111914446464 114245997432 121848045312 124386546256 130566854208 133286997004 135641890944 139934864538 142156052864 152327996576 159925559472 164957230986 171368996148 174089138944 182772067968 186579819384 192450102817 195850281312 199930495506 213234079296 219942974648 223828892928 228491994864 247435846479 248773092512 261133708416 266573994008 271283781888 279869729076 284312105728 299895743259 304655993152 319851118944 329914461972 342737992296 365544135936 373159638768 384900205634 391700562624 399860991012 426468158592 439885949296 456983989728 494871692958 497546185024 522267416832 533147988016 559739458152 577350308451 599791486518 609311986304 639702237888 659828923944 685475984592 746319277536 769800411268 783401125248 799721982024 852936317184 879771898592 913967979456 989743385916 995092370048 1066295976032 1119478916304 1154700616902 1199582973036 1218623972608 1279404475776 1319657847888 1347150719719 1370951969184 1492638555072 1539600822536 1566802250496 1599443964048 1732050925353 1759543797184 1827935958912 1979486771832 1990184740096 2132591952064 2238957832608 2309401233804 2399165946072 2558808951552 2639315695776 2694301439438 2741903938368 2985277110144 3079201645072 3198887928096 3464101850706 3519087594368 3655871917824 3958973543664 4041452159157 4265183904128 4477915665216 4618802467608 4798331892144 5278631391552 5388602878876 5483807876736 5970554220288 6158403290144 6397775856192 6928203701412 7038175188736 7917947087328 8082904318314 8530367808256 8955831330432 9237604935216 9430055038033 9596663784288 10557262783104 10777205757752 10967615753472 12124356477471 12316806580288 12795551712384 13856407402824 15835894174656 16165808636628 17911662660864 18475209870432 18860110076066 19193327568576 21114525566208 21554411515504 24248712954942 24633613160576 25591103424768 27712814805648 28290165114099 31671788349312 32331617273256 36950419740864 37720220152132 38386655137152 43108823031008 48497425909884 49267226321152 55425629611296 56580330228198 63343576698624 64663234546512 73900839481728 75440440304264 76773310274304 84870495342297 86217646062016 96994851819768 110851259222592 113160660456396 129326469093024 147801678963456 150880880608528 169740990684594 172435292124032 193989703639536 221702518445184 226321320912792 258652938186048 301761761217056 339481981369188 344870584248064 387979407279072 443405036890368 452642641825584 517305876372096 603523522434112 678963962738376 775958814558144 905285283651168 1034611752744192 1207047044868224 1357927925476752 1551917629116288 1810570567302336 2414094089736448 2715855850953504 3103835258232576 3621141134604672 5431711701907008 7242282269209344 10863423403814016 21726846807628032
• Sum of all divisors σ(n): 73373555466848000
• Sum of proper divisors (its aliquot sum) s(n): 51646708659219968
• 21726846807628032 is an abundant number, because the sum of its proper divisors (51646708659219968) is greater than itself. Its abundance is 29919861851591936

Bases of 21726846807628032

• Binary: 1001101001100000111001110111010000011101101100100000000₂
• Hexadecimal: 0x4D3073BA0ED900
• Base-36: 5XXIVMQP8G0

Squares and roots of 21726846807628032

• 21726846807628032 squared (21726846807628032²) is 472055872202136405357182072193024
• 21726846807628032 cubed (21726846807628032³) is 10256285619977053610844001130673928753237897248768
• The square root of 21726846807628032 is 147400294.4624875301
• The cube root of 21726846807628032 is 279039.4244105759

Scales and comparisons

• 21,726,846,807,628,032 seconds is equal to 690,846,522 years, 48 weeks, 3 days, 13 hours, 7 minutes, 12 seconds.
• To count from 1 to 21,726,846,807,628,032 would take you about two billion, seventy-two million, five hundred thirty-nine thousand, five hundred sixty-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 21726846807628032 cubic inches would be around 23253.3 feet tall.

Recreational maths with 21726846807628032

• 21726846807628032 backwards is 23082670864862712
• 21726846807628032 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21726846807628032's digits is 72
• More coming soon!