820829993984

Names of 820829993984

• Cardinal: 820829993984 can be written as Eight hundred twenty billion, eight hundred twenty-nine million, nine hundred ninety-three thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 8.20829993984 × 10¹¹

Factors of 820829993984

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1034

Divisors of 820829993984

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 4 7 8 11 13 14 16 22 23 26 28 32 37 44 46 52 56 64 74 77 88 91 92 104 112 128 143 148 154 161 176 182 184 208 224 253 256 259 286 296 299 308 322 352 364 368 407 416 448 481 506 512 518 572 592 598 616 644 704 728 736 814 832 851 896 941 962 1001 1012 1024 1036 1144 1184 1196 1232 1288 1408 1456 1472 1628 1664 1702 1771 1792 1882 1924 2002 2024 2072 2093 2288 2368 2392 2464 2576 2816 2849 2912 2944 3256 3289 3328 3367 3404 3542 3584 3764 3848 4004 4048 4144 4186 4576 4736 4784 4928 5152 5291 5632 5698 5824 5888 5957 6512 6578 6587 6656 6734 6808 7084 7168 7528 7696 8008 8096 8288 8372 9152 9361 9472 9568 9856 10304 10351 10582 11063 11264 11396 11648 11776 11914 12233 13024 13156 13174 13312 13468 13616 14168 15056 15392 16016 16192 16576 16744 18304 18722 18944 19136 19712 20608 20702 21164 21643 22126 22792 23023 23296 23552 23828 24466 26048 26312 26348 26936 27232 28336 30112 30784 32032 32384 33152 33488 34817 36608 37037 37444 37888 38272 39424 41216 41404 42328 43286 44252 45584 46046 46592 47656 48932 52096 52624 52696 53872 54464 56672 60224 61568 64064 64768 65527 66304 66976 69634 72457 73216 74074 74888 76544 77441 78848 82432 82808 84656 85631 86572 88504 91168 92092 93184 95312 97864 104192 105248 105392 107744 108928 113344 120448 121693 123136 128128 129536 131054 132608 133952 134563 139268 144914 146432 148148 149776 151501 153088 154882 164864 165616 169312 171262 173144 177008 182336 184184 190624 195728 208384 210496 210784 215488 217856 226688 238073 240896 243386 243719 246272 256256 259072 262108 265216 267904 269126 278536 281359 289828 296296 299552 303002 306176 309764 331232 338624 342524 346288 354016 364672 368368 381248 382987 391456 416768 420992 421568 430976 435712 452621 453376 476146 481792 486772 487438 492544 512512 524216 535808 538252 557072 562718 579656 592592 599104 606004 619528 662464 677248 685048 692576 708032 729344 736736 762496 765974 782912 800791 841984 843136 851851 861952 871424 905242 906752 941941 952292 963584 973544 974876 1025024 1048432 1071616 1076504 1114144 1125436 1159312 1185184 1198208 1212008 1239056 1324928 1354496 1370096 1385152 1416064 1458688 1473472 1524992 1531948 1565824 1601582 1666511 1683968 1686272 1703702 1723904 1810484 1813504 1883882 1904584 1947088 1949752 1969513 2096864 2143232 2153008 2228288 2250872 2318624 2370368 2396416 2424016 2478112 2649856 2680909 2708992 2740192 2770304 2832128 2917376 2946944 3049984 3063896 3094949 3131648 3168347 3203164 3333022 3367936 3372544 3407404 3447808 3620968 3767764 3809168 3894176 3899504 3939026 4193728 4306016 4456576 4501744 4637248 4740736 4792832 4848032 4956224 4978831 5299712 5361818 5417984 5480384 5540608 5605537 5664256 5893888 6099968 6127792 6189898 6263296 6336694 6406328 6666044 6745088 6814808 7241936 7535528 7618336 7788352 7799008 7878052 8387456 8612032 8808701 8913152 9003488 9274496 9481472 9585664 9696064 9912448 9957662 10410283 10599424 10723636 10960768 11081216 11211074 11328512 11787776 12255584 12379796 12526592 12673388 12812656 13332088 13629616 14483872 15071056 15236672 15576704 15598016 15756104 16774912 17224064 17617402 17826304 18006976 18548992 18962944 19392128 19824896 19915324 20820566 21447272 21664643 21921536 22162432 22422148 23575552 24511168 24759592 25346776 25625312 26664176 27259232 28967744 30142112 30473344 31153408 31196032 31512208 33549824 34448128 34851817 35234804 35652608 36013952 37097984 37925888 38784256 39649792 39830648 41641132 42894544 43329286 43843072 44844296 49022336 49519184 50693552 51250624 53328352 54518464 57935488 60284224 60946688 61660907 62306816 62392064 63024416 67099648 68896256 69703634 70469608 72027904 72871981 74195968 77568512 79299584 79661296 83282264 85789088 86658572 87686144 89688592 98044672 99038368 101387104 102501248 106656704 109036928 114513113 115870976 120568448 121893376 123321814 124613632 124784128 126048832 137792512 139407268 140939216 144055808 145743962 155137024 159322592 166564528 171578176 173317144 179377184 196089344 198076736 202774208 205002496 213313408 218073856 229026226 231741952 241136896 243786752 246643628 249568256 252097664 278814536 281878432 288111616 291487924 318645184 333129056 343156352 346634288 358754368 392178688 396153472 405548416 410004992 426626816 436147712 458052452 463483904 482273792 493287256 504195328 557629072 563756864 582975848 637290368 666258112 686312704 693268576 717508736 792306944 801591791 811096832 820009984 853253632 872295424 916104904 964547584 986574512 1008390656 1115258144 1127513728 1165951696 1274580736 1332516224 1372625408 1386537152 1435017472 1584613888 1603183582 1622193664 1706507264 1832209808 1973149024 2016781312 2230516288 2255027456 2331903392 2549161472 2665032448 2745250816 2773074304 2870034944 3169227776 3206367164 3244387328 3664419616 3946298048 4461032576 4510054912 4663806784 5098322944 5330064896 5546148608 5740069888 6412734328 7328839232 7892596096 8922065152 9020109824 9327613568 10660129792 11092297216 12825468656 14657678464 15785192192 17844130304 18655227136 22184594432 25650937312 29315356928 31570384384 35688260608 37310454272 51301874624 58630713856 63140768768 74620908544 102603749248 117261427712 205207498496 410414996992 820829993984
• Sum of all divisors σ(n): 2363539433472
• Sum of proper divisors (its aliquot sum) s(n): 1542709439488
• 820829993984 is an abundant number, because the sum of its proper divisors (1542709439488) is greater than itself. Its abundance is 721879445504

Bases of 820829993984

• Binary: 1011111100011101010001111011110000000000₂
• Hexadecimal: 0xBF1D47BC00
• Base-36: AH30ZGU8

Squares and roots of 820829993984

• 820829993984 squared (820829993984²) is 673761879023773476192256
• 820829993984 cubed (820829993984³) is 553043959105732518255868259707387904
• The square root of 820829993984 is 905996.6854155703
• The cube root of 820829993984 is 9363.0585509445

Scales and comparisons

• 820,829,993,984 seconds is equal to 26,099 years, 44 weeks, 3 days, 3 hours, 39 minutes, 44 seconds.
• To count from 1 to 820,829,993,984 would take you about fifty-two thousand, one hundred ninety-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 820829993984 cubic inches would be around 780.3 feet tall.

Recreational maths with 820829993984

• 820829993984 backwards is 489399928028
• The number of decimal digits it has is: 12
• The sum of 820829993984's digits is 71
• More coming soon!