221148421806720

Names of 221148421806720

• Cardinal: 221148421806720 can be written as Two hundred twenty-one trillion, one hundred forty-eight billion, four hundred twenty-one million, eight hundred six thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 2.2114842180672 × 10¹⁴

Factors of 221148421806720

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 89104

Divisors of 221148421806720

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 101 120 128 142 160 181 192 202 213 240 284 303 320 355 362 384 404 426 480 505 543 568 606 640 710 724 808 852 905 960 1010 1065 1086 1136 1212 1420 1448 1515 1616 1704 1810 1920 2020 2130 2172 2272 2424 2715 2840 2896 3030 3232 3408 3620 4040 4260 4344 4544 4848 5430 5680 5792 6060 6464 6816 7171 7240 8080 8520 8688 9088 9696 10860 11360 11584 12120 12851 12928 13632 14342 14480 16160 17040 17376 18281 19392 21513 21720 22720 23168 24240 25702 27264 28684 28960 32320 34080 34752 35855 36562 38553 38784 43026 43440 45440 48480 51404 54843 57368 57920 64255 64640 68160 69504 71710 73124 77106 86052 86880 88741 91405 96960 102808 107565 109686 114736 115840 128510 136320 143420 146248 154212 172104 173760 177482 182810 192765 193920 205616 215130 219372 229472 257020 266223 274215 286840 292496 308424 344208 347520 354964 365620 385530 411232 430260 438744 443705 458944 514040 532446 548430 573680 584992 616848 688416 709928 731240 771060 822464 860520 877488 887410 917888 1028080 1064892 1096860 1147360 1169984 1233696 1297951 1331115 1376832 1419856 1462480 1542120 1644928 1721040 1754976 1774820 2056160 2129784 2193720 2294720 2339968 2467392 2595902 2662230 2753664 2839712 2924960 3084240 3442080 3509952 3549640 3893853 4112320 4259568 4387440 4589440 4934784 5191804 5324460 5679424 5849920 6168480 6300611 6489755 6884160 7019904 7099280 7787706 8224640 8519136 8774880 8962841 10383608 10648920 11358848 11699840 12336960 12601222 12979510 13768320 14198560 15575412 16062121 17038272 17549760 17925682 18901833 19469265 20767216 21297840 24673920 25202444 25959020 26888523 28397120 31150824 31503055 32124242 34076544 35099520 35851364 37803666 38938530 41534432 42595680 44814205 48186363 50404888 51918040 53777046 56794240 62301648 63006110 64248484 71702728 75607332 77877060 80310605 83068864 85191360 89628410 94509165 96372726 100809776 103836080 107554092 124603296 126012220 128496968 134442615 143405456 151214664 155754120 160621210 166137728 170382720 179256820 189018330 192745452 201619552 207672160 215108184 240931815 249206592 252024440 256993936 268885230 286810912 302429328 311508240 321242420 358513640 378036660 385490904 403239104 415344320 430216368 481863630 498413184 504048880 513987872 537770460 573621824 604858656 623016480 636361711 642484840 717027280 756073320 770981808 806478208 830688640 860432736 963727260 1008097760 1027975744 1075540920 1140410591 1147243648 1209717312 1246032960 1272723422 1284969680 1434054560 1512146640 1541963616 1622274221 1720865472 1909085133 1927454520 2016195520 2055951488 2151081840 2280821182 2419434624 2492065920 2545446844 2569939360 2868109120 3024293280 3083927232 3181808555 3244548442 3421231773 3441730944 3818170266 3854909040 4032391040 4302163680 4561642364 4866822663 5090893688 5139878720 5702052955 5736218240 6048586560 6167854464 6363617110 6489096884 6842463546 7636340532 7709818080 8111371105 8604327360 9123284728 9545425665 9733645326 10181787376 10279757440 11404105910 12097173120 12727234220 12978193768 13684927092 15272681064 15419636160 16222742210 17106158865 17208654720 18246569456 19090851330 19467290652 20363574752 22808211820 24334113315 25454468440 25956387536 27369854184 30545362128 30839272320 32445484420 34212317730 36493138912 38181702660 38934581304 40727149504 45616423640 48668226630 50908936880 51912775072 54739708368 61090724256 64890968840 68424635460 72986277824 76363405320 77869162608 81454299008 91232847280 97336453260 101817873760 103825550144 109479416736 115181469691 122181448512 129781937680 136849270920 145972555648 152726810640 155738325216 182465694560 194672906520 203635747520 207651100288 218958833472 230362939382 244362897024 259563875360 273698541840 305453621280 311476650432 345544409073 364931389120 389345813040 407271495040 437917666944 460725878764 519127750720 547397083680 575907348455 610907242560 622953300864 691088818146 729862778240 778691626080 921451757528 1038255501440 1094794167360 1151814696910 1221814485120 1382177636292 1557383252160 1727722045365 1842903515056 2189588334720 2303629393820 2764355272584 3114766504320 3455444090730 3685807030112 4607258787640 5528710545168 6910888181460 7371614060224 9214517575280 11057421090336 13821776362920 14743228120448 18429035150560 22114842180672 27643552725840 36858070301120 44229684361344 55287105451680 73716140602240 110574210903360 221148421806720
• Sum of all divisors σ(n): 725913194872320
• Sum of proper divisors (its aliquot sum) s(n): 504764773065600
• 221148421806720 is an abundant number, because the sum of its proper divisors (504764773065600) is greater than itself. Its abundance is 283616351258880

Bases of 221148421806720

• Binary: 110010010010001000100001000111111101101010000000₂
• Hexadecimal: 0xC922211FDA80
• Base-36: 26E26KGL1C

Squares and roots of 221148421806720

• 221148421806720 squared (221148421806720²) is 48906624467602950029037158400
• 221148421806720 cubed (221148421806720³) is 10815622816904310144368123577911742824448000
• The square root of 221148421806720 is 14871059.8750297553
• The cube root of 221148421806720 is 60472.9676201925

Scales and comparisons

• 221,148,421,806,720 seconds is equal to 7,031,835 years, 39 weeks, 2 days, 8 hours, 32 minutes.
• To count from 1 to 221,148,421,806,720 would take you about seventeen million, five hundred seventy-nine thousand, five hundred eighty-nine 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 221148421806720 cubic inches would be around 5039.4 feet tall.

Recreational maths with 221148421806720

• 221148421806720 backwards is 027608124841122
• 221148421806720 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 221148421806720's digits is 48
• More coming soon!