21728813410304

Names of 21728813410304

• Cardinal: 21728813410304 can be written as Twenty-one trillion, seven hundred twenty-eight billion, eight hundred thirteen million, four hundred ten thousand, three hundred four.

Scientific notation

• Scientific notation: 2.1728813410304 × 10¹³

Factors of 21728813410304

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1155

Divisors of 21728813410304

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 59 64 77 88 91 104 112 118 128 143 154 169 176 182 208 224 236 256 286 308 338 352 364 413 416 448 472 512 572 616 649 676 704 728 767 826 832 896 944 1001 1024 1063 1144 1183 1232 1298 1352 1408 1456 1534 1652 1664 1792 1859 1888 2002 2048 2126 2197 2288 2366 2464 2596 2704 2816 2912 3068 3304 3328 3584 3718 3776 4004 4252 4394 4543 4576 4732 4928 5192 5369 5408 5632 5824 6136 6608 6656 7168 7436 7441 7552 8008 8437 8504 8788 9086 9152 9464 9856 9971 10384 10738 10816 11264 11648 11693 12272 13013 13216 13312 13819 14336 14872 14882 15104 15379 16016 16874 17008 17576 18172 18304 18928 19712 19942 20768 21476 21632 22528 23296 23386 24167 24544 26026 26432 26624 27638 29744 29764 30208 30758 32032 33748 34016 35152 36344 36608 37856 39424 39884 41536 42952 43264 46592 46772 48334 49088 52052 52864 55276 59059 59488 59528 60416 61516 62717 64064 67496 68032 69797 70304 72688 73216 75712 78848 79768 81851 83072 85904 86528 93184 93544 96668 96733 98176 104104 105728 109681 110552 118118 118976 119056 120832 123032 125434 128128 129623 134992 136064 139594 140608 145376 146432 151424 152009 157696 159536 163702 166144 169169 171808 173056 179647 186368 187088 193336 193466 196352 208208 211456 219362 221104 236236 237952 238112 246064 250868 256256 259246 269984 272128 279188 281216 290752 292864 302848 304018 319072 327404 332288 338338 343616 346112 359294 374176 386672 386932 392704 416416 422912 438724 439019 442208 472472 475904 476224 492128 501736 512512 518492 539968 544256 558376 562432 581504 605696 608036 638144 654808 664576 676676 687232 689887 718588 748352 767767 773344 773864 785408 815321 832832 845824 877448 878038 884416 907361 944944 951808 952448 984256 1003472 1025024 1036984 1064063 1079936 1088512 1116752 1124864 1163008 1211392 1216072 1257529 1276288 1309616 1329152 1353352 1374464 1379774 1425853 1437176 1496704 1535534 1546688 1547728 1570816 1630642 1665664 1754896 1756076 1768832 1814722 1889888 1903616 1904896 1968512 1976117 2006944 2050048 2073968 2128126 2159872 2177024 2233504 2249728 2326016 2335411 2422784 2432144 2515058 2552576 2619232 2706704 2748928 2759548 2851706 2874352 2993408 3071068 3093376 3095456 3261284 3331328 3509792 3512152 3537664 3629444 3779776 3807232 3809792 3937024 3952234 4013888 4147936 4256252 4319744 4467008 4499456 4652032 4670822 4829209 4864288 5030116 5105152 5238464 5413408 5497856 5519096 5703412 5707247 5748704 5986816 6142136 6186752 6190912 6522568 6662656 7019584 7024304 7075328 7258888 7559552 7619584 7874048 7904468 8027776 8295872 8512504 8639488 8934016 8968531 9304064 9341644 9658418 9728576 9980971 10060232 10210304 10476928 10599173 10826816 10995712 11038192 11406824 11414494 11497408 11973632 12284272 12373504 12381824 13045136 13325312 13832819 14039168 14048608 14150656 14517776 15119104 15239168 15748096 15808936 16055552 16347877 16591744 17025008 17278976 17868032 17937062 18683288 19316836 19457152 19961942 20120464 20420608 20953856 21198346 21653632 22076384 22813648 22828988 22994816 23947264 24568544 24747008 24763648 25689521 26090272 26650624 27665638 28078336 28097216 28301312 29035552 30238208 31496192 31617872 32111104 32695754 33183488 34050016 35736064 35874124 37366576 38633672 38914304 39923884 40240928 41907712 42396692 43307264 44152768 45627296 45657976 45989632 49137088 49494016 49527296 51379042 52180544 55331276 56156672 56194432 58071104 60476416 62779717 63235744 64222208 65391508 66366976 68100032 71472128 71748248 74194211 74733152 77267344 77828608 79847768 80481856 83815424 84793384 86614528 88305536 91254592 91315952 91979264 98274176 99054592 102758084 104361088 110662552 112313344 112388864 116142208 116590903 120952832 125559434 126471488 128444416 130783016 132733952 136200064 137789249 142944256 143496496 148388422 149466304 154534688 155657216 159695536 160963712 167630848 169586768 173229056 176611072 179826647 182509184 182631904 183958528 196548352 198109184 205516168 208722176 221325104 224626688 224777728 232284416 233181806 251118868 252942976 261566032 265467904 272400128 275578498 286992992 296776844 298932608 309069376 311314432 319391072 321927424 339173536 346458112 353222144 359653294 365018368 365263808 367917056 393096704 411032336 417444352 442650208 449555456 464568832 466363612 502237736 505885952 523132064 544800256 551156996 573985984 593553688 597865216 618138752 638782144 643854848 678347072 706444288 719306588 730036736 730527616 786193408 816136321 822064672 834888704 885300416 899110912 929137664 932727224 964524743 1004475472 1011771904 1046264128 1089600512 1102313992 1147971968 1187107376 1195730432 1236277504 1277564288 1287709696 1356694144 1412888576 1438613176 1460073472 1461055232 1515681739 1572386816 1632272642 1644129344 1669777408 1770600832 1858275328 1865454448 1929049486 2008950944 2023543808 2092528256 2179201024 2204627984 2295943936 2374214752 2391460864 2472555008 2555128576 2575419392 2713388288 2877226352 2920146944 2922110464 3031363478 3264545284 3288258688 3541201664 3730908896 3858098972 4017901888 4047087616 4185056512 4409255968 4591887872 4748429504 4782921728 4945110016 5110257152 5426776576 5754452704 5844220928 6062726956 6529090568 6576517376 7082403328 7461817792 7716197944 8035803776 8370113024 8818511936 9183775744 9496859008 9890220032 10220514304 10609772173 10853553152 11508905408 11688441856 12125453912 13058181136 13153034752 14164806656 14923635584 15432395888 16071607552 16740226048 17637023872 18367551488 18993718016 20441028608 21219544346 21707106304 23017810816 24250907824 26116362272 26306069504 28329613312 29847271168 30864791776 32143215104 33480452096 35274047744 37987436032 42439088692 46035621632 48501815648 52232724544 52612139008 59694542336 61729583552 64286430208 70548095488 75974872064 84878177384 92071243264 97003631296 104465449088 119389084672 123459167104 128572860416 141096190976 151949744128 169756354768 184142486528 194007262592 208930898176 238778169344 246918334208 282192381952 339512709536 368284973056 388014525184 417861796352 493836668416 679025419072 776029050368 835723592704 987673336832 1358050838144 1552058100736 1671447185408 1975346673664 2716101676288 3104116201472 5432203352576 10864406705152 21728813410304
• Sum of all divisors σ(n): 59730338304000
• Sum of proper divisors (its aliquot sum) s(n): 38001524893696
• 21728813410304 is an abundant number, because the sum of its proper divisors (38001524893696) is greater than itself. Its abundance is 16272711483392

Bases of 21728813410304

• Binary: 100111100001100100010001101000110100000000000₂
• Hexadecimal: 0x13C322346800
• Base-36: 7PA2UHE68

Squares and roots of 21728813410304

• 21728813410304 squared (21728813410304²) is 472141332219806946653372416
• 21728813410304 cubed (21728813410304³) is 10259070911096537215047774486287523774464
• The square root of 21728813410304 is 4661417.5322860749
• The cube root of 21728813410304 is 27904.7843228815

Scales and comparisons

• 21,728,813,410,304 seconds is equal to 690,909 years, 2 weeks, 5 days, 22 hours, 51 minutes, 44 seconds.
• To count from 1 to 21,728,813,410,304 would take you about one million, seven hundred twenty-seven thousand, two hundred seventy-two 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 21728813410304 cubic inches would be around 2325.4 feet tall.

Recreational maths with 21728813410304

• 21728813410304 backwards is 40301431882712
• 21728813410304 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 21728813410304's digits is 44
• More coming soon!