221235345964924928

Names of 221235345964924928

• Cardinal: 221235345964924928 can be written as Two hundred twenty-one quadrillion, two hundred thirty-five trillion, three hundred forty-five billion, nine hundred sixty-four million, nine hundred twenty-four thousand, nine hundred twenty-eight.

Scientific notation

• Scientific notation: 2.21235345964924928 × 10¹⁷

Factors of 221235345964924928

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 43
• Sum of prime factors: 41

Divisors of 221235345964924928

• Number of divisors d(n): 912
• Complete list of divisors:
  1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 64 76 91 98 104 112 128 133 152 182 196 208 224 247 256 266 304 343 361 364 392 416 448 494 512 532 608 637 686 722 728 784 832 896 931 988 1024 1064 1216 1274 1372 1444 1456 1568 1664 1729 1792 1862 1976 2048 2128 2432 2527 2548 2744 2888 2912 3136 3328 3458 3584 3724 3952 4096 4256 4459 4693 4864 5054 5096 5488 5776 5824 6272 6517 6656 6916 7168 7448 7904 8192 8512 8918 9386 9728 10108 10192 10976 11552 11648 12103 12544 13034 13312 13832 14336 14896 15808 16384 17024 17689 17836 18772 19456 20216 20384 21952 23104 23296 24206 25088 26068 26624 27664 28672 29792 31616 32768 32851 34048 35378 35672 37544 38912 40432 40768 43904 46208 46592 48412 50176 52136 53248 55328 57344 59584 63232 65536 65702 68096 70756 71344 75088 77824 80864 81536 84721 87808 92416 93184 96824 100352 104272 106496 110656 114688 119168 123823 126464 131072 131404 136192 141512 142688 150176 155648 161728 163072 169442 175616 184832 186368 193648 200704 208544 212992 221312 229376 229957 238336 247646 252928 262144 262808 272384 283024 285376 300352 311296 323456 326144 338884 351232 369664 372736 387296 401408 417088 425984 442624 458752 459914 476672 495292 505856 524288 525616 544768 566048 570752 600704 622592 646912 652288 677768 702464 739328 745472 774592 802816 834176 851968 885248 917504 919828 953344 990584 1011712 1048576 1051232 1089536 1132096 1141504 1201408 1245184 1293824 1304576 1355536 1404928 1478656 1490944 1549184 1605632 1609699 1668352 1703936 1770496 1835008 1839656 1906688 1981168 2023424 2097152 2102464 2179072 2264192 2283008 2402816 2490368 2587648 2609152 2711072 2809856 2957312 2981888 3098368 3211264 3219398 3336704 3407872 3540992 3670016 3679312 3813376 3962336 4046848 4194304 4204928 4358144 4528384 4566016 4805632 4980736 5175296 5218304 5422144 5619712 5914624 5963776 6196736 6422528 6438796 6673408 6815744 7081984 7340032 7358624 7626752 7924672 8093696 8388608 8409856 8716288 9056768 9132032 9611264 9961472 10350592 10436608 10844288 11239424 11829248 11927552 12393472 12845056 12877592 13346816 13631488 14163968 14680064 14717248 15253504 15849344 16187392 16777216 16819712 17432576 18113536 18264064 19222528 19922944 20701184 20873216 21688576 22478848 23658496 23855104 24786944 25690112 25755184 26693632 27262976 28327936 29360128 29434496 30507008 31698688 32374784 33554432 33639424 34865152 36227072 36528128 38445056 39845888 41402368 41746432 43377152 44957696 47316992 47710208 49573888 51380224 51510368 53387264 54525952 56655872 58720256 58868992 61014016 63397376 64749568 67108864 67278848 69730304 72454144 73056256 76890112 79691776 82804736 83492864 86754304 89915392 94633984 95420416 99147776 102760448 103020736 106774528 109051904 113311744 117440512 117737984 122028032 126794752 129499136 134217728 134557696 139460608 144908288 146112512 153780224 159383552 165609472 166985728 173508608 179830784 189267968 190840832 198295552 205520896 206041472 213549056 218103808 226623488 234881024 235475968 244056064 253589504 258998272 268435456 269115392 278921216 289816576 292225024 307560448 318767104 331218944 333971456 347017216 359661568 378535936 381681664 396591104 411041792 412082944 427098112 436207616 453246976 469762048 470951936 488112128 507179008 517996544 536870912 538230784 557842432 579633152 584450048 615120896 637534208 662437888 667942912 694034432 719323136 757071872 763363328 793182208 822083584 824165888 854196224 872415232 906493952 939524096 941903872 976224256 1014358016 1035993088 1073741824 1076461568 1115684864 1159266304 1168900096 1230241792 1275068416 1324875776 1335885824 1388068864 1438646272 1514143744 1526726656 1586364416 1644167168 1648331776 1708392448 1744830464 1812987904 1879048192 1883807744 1952448512 2028716032 2071986176 2147483648 2152923136 2231369728 2318532608 2337800192 2460483584 2550136832 2649751552 2671771648 2776137728 2877292544 3028287488 3053453312 3172728832 3288334336 3296663552 3416784896 3489660928 3625975808 3758096384 3767615488 3904897024 4057432064 4143972352 4294967296 4305846272 4462739456 4637065216 4675600384 4920967168 5100273664 5299503104 5343543296 5552275456 5754585088 6056574976 6106906624 6345457664 6576668672 6593327104 6833569792 6979321856 7251951616 7516192768 7535230976 7809794048 8114864128 8287944704 8589934592 8611692544 8925478912 9274130432 9351200768 9841934336 10200547328 10599006208 10687086592 11104550912 11509170176 12113149952 12213813248 12690915328 13153337344 13186654208 13667139584 13958643712 14503903232 15032385536 15070461952 15619588096 16229728256 16575889408 17179869184 17223385088 17850957824 18548260864 18702401536 19683868672 20401094656 21198012416 21374173184 22209101824 23018340352 24226299904 24427626496 25381830656 26306674688 26373308416 27334279168 27917287424 29007806464 30064771072 30140923904 31239176192 32459456512 33151778816 34359738368 34446770176 35701915648 37096521728 37404803072 39367737344 40802189312 42396024832 42748346368 44418203648 46036680704 48452599808 48855252992 50763661312 52613349376 52746616832 54668558336 55834574848 58015612928 60129542144 60281847808 62478352384 64918913024 66303557632 68719476736 68893540352 71403831296 74193043456 74809606144 78735474688 81604378624 84792049664 85496692736 88836407296 92073361408 96905199616 97710505984 101527322624 105226698752 105493233664 109337116672 111669149696 116031225856 120259084288 120563695616 124956704768 129837826048 132607115264 137438953472 137787080704 142807662592 148386086912 149619212288 157470949376 163208757248 169584099328 170993385472 177672814592 184146722816 193810399232 195421011968 203054645248 210453397504 210986467328 218674233344 223338299392 232062451712 240518168576 241127391232 249913409536 259675652096 265214230528 275574161408 285615325184 296772173824 299238424576 314941898752 326417514496 339168198656 341986770944 355345629184 368293445632 387620798464 390842023936 406109290496 420906795008 421972934656 437348466688 446676598784 464124903424 481036337152 482254782464 499826819072 519351304192 530428461056 551148322816 571230650368 593544347648 598476849152 629883797504 652835028992 678336397312 683973541888 710691258368 736586891264 775241596928 781684047872 812218580992 841813590016 843945869312 874696933376 893353197568 928249806848 962072674304 964509564928 999653638144 1038702608384 1060856922112 1102296645632 1142461300736 1187088695296 1196953698304 1259767595008 1305670057984 1356672794624 1367947083776 1421382516736 1473173782528 1550483193856 1563368095744 1624437161984 1683627180032 1687891738624 1749393866752 1786706395136 1856499613696 1929019129856 1999307276288 2077405216768 2121713844224 2204593291264 2284922601472 2374177390592 2393907396608 2519535190016 2611340115968 2713345589248 2735894167552 2842765033472 2946347565056 3100966387712 3126736191488 3248874323968 3367254360064 3375783477248 3498787733504 3712999227392 3858038259712 3998614552576 4154810433536 4243427688448 4409186582528 4569845202944 4748354781184 4787814793216 5039070380032 5426691178496 5471788335104 5685530066944 5892695130112 6201932775424 6253472382976 6497748647936 6734508720128 6751566954496 6997575467008 7425998454784 7716076519424 7997229105152 8309620867072 8486855376896 8818373165056 9139690405888 9496709562368 9575629586432 10078140760064 10853382356992 10943576670208 11371060133888 11785390260224 12403865550848 12506944765952 12995497295872 13503133908992 13995150934016 14851996909568 15432153038848 15994458210304 16619241734144 16973710753792 17636746330112 18279380811776 18993419124736 19151259172864 20156281520128 21706764713984 21887153340416 22742120267776 23570780520448 24807731101696 25990994591744 27006267817984 27990301868032 29703993819136 30864306077696 31988916420608 33238483468288 33947421507584 35273492660224 37986838249472 38302518345728 40312563040256 43413529427968 43774306680832 45484240535552 47141561040896 49615462203392 51981989183488 54012535635968 55980603736064 59407987638272 61728612155392 63977832841216 66476966936576 70546985320448 75973676498944 76605036691456 80625126080512 86827058855936 87548613361664 90968481071104 103963978366976 108025071271936 111961207472128 118815975276544 123457224310784 127955665682432 132953933873152 141093970640896 151947352997888 153210073382912 161250252161024 173654117711872 181936962142208 207927956733952 216050142543872 223922414944256 237631950553088 246914448621568 265907867746304 282187941281792 303894705995776 306420146765824 322500504322048 347308235423744 363873924284416 415855913467904 432100285087744 447844829888512 493828897243136 531815735492608 564375882563584 607789411991552 612840293531648 645001008644096 727747848568832 831711826935808 864200570175488 895689659777024 987657794486272 1063631470985216 1128751765127168 1215578823983104 1455495697137664 1663423653871616 1728401140350976 1975315588972544 2127262941970432 2257503530254336 2431157647966208 2910991394275328 3456802280701952 3950631177945088 4254525883940864 4515007060508672 5821982788550656 6913604561403904 7901262355890176 8509051767881728 11643965577101312 13827209122807808 15802524711780352 17018103535763456 27654418245615616 31605049423560704 55308836491231232 110617672982462464 221235345964924928
• Sum of all divisors σ(n): 586479502253584800
• Sum of proper divisors (its aliquot sum) s(n): 365244156288659872
• 221235345964924928 is an abundant number, because the sum of its proper divisors (365244156288659872) is greater than itself. Its abundance is 144008810323734944

Bases of 221235345964924928

• Binary: 1100010001111111000110000000000000000000000000000000000000₂
• Hexadecimal: 0x311FC6000000000
• Base-36: 1OIDDUV05N28

Squares and roots of 221235345964924928

• 221235345964924928 squared (221235345964924928²) is 48945078304220024621440436675805184
• 221235345964924928 cubed (221235345964924928³) is 10828381331914458261686738758924053650718356513226752
• The square root of 221235345964924928 is 470356615.7341947369
• The cube root of 221235345964924928 is 604808.8971040495

Scales and comparisons

• 221,235,345,964,924,928 seconds is equal to 7,034,599,675 years, 43 weeks, 10 hours, 42 minutes, 8 seconds.
• To count from 1 to 221,235,345,964,924,928 would take you about twenty-one billion, one hundred three million, seven hundred ninety-nine thousand and twenty-seven 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 221235345964924928 cubic inches would be around 50400.7 feet tall.

Recreational maths with 221235345964924928

• 221235345964924928 backwards is 829429469543532122
• The number of decimal digits it has is: 18
• The sum of 221235345964924928's digits is 80
• More coming soon!