820243998056448
820,243,998,056,448 is an even composite number composed of four prime numbers multiplied together.
What does the number 820243998056448 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 672 divisors.
820243998056448 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 820243998056448:
213 × 35 × 7 × 3893
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 389 × 389 × 389)See below for interesting mathematical facts about the number 820243998056448 from the Numbermatics database.
Names of 820243998056448
- Cardinal: 820243998056448 can be written as Eight hundred twenty trillion, two hundred forty-three billion, nine hundred ninety-eight million, fifty-six thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 8.20243998056448 × 1014
Factors of 820243998056448
Divisors of 820243998056448
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 389 432 448 486 504 512 567 576 648 672 756 768 778 864 896 972 1008 1024 1134 1152 1167 1296 1344 1512 1536 1556 1701 1728 1792 1944 2016 2048 2268 2304 2334 2592 2688 2723 3024 3072 3112 3402 3456 3501 3584 3888 4032 4096 4536 4608 4668 5184 5376 5446 6048 6144 6224 6804 6912 7002 7168 7776 8064 8169 8192 9072 9216 9336 10368 10503 10752 10892 12096 12288 12448 13608 13824 14004 14336 15552 16128 16338 18144 18432 18672 20736 21006 21504 21784 24192 24507 24576 24896 27216 27648 28008 28672 31104 31509 32256 32676 36288 36864 37344 41472 42012 43008 43568 48384 49014 49792 54432 55296 56016 57344 62208 63018 64512 65352 72576 73521 73728 74688 82944 84024 86016 87136 94527 96768 98028 99584 108864 110592 112032 124416 126036 129024 130704 145152 147042 149376 151321 165888 168048 172032 174272 189054 193536 196056 199168 217728 220563 221184 224064 248832 252072 258048 261408 290304 294084 298752 302642 331776 336096 348544 378108 387072 392112 398336 435456 441126 448128 453963 497664 504144 516096 522816 580608 588168 597504 605284 661689 663552 672192 697088 756216 774144 784224 796672 870912 882252 896256 907926 995328 1008288 1045632 1059247 1161216 1176336 1195008 1210568 1323378 1344384 1361889 1394176 1512432 1548288 1568448 1593344 1741824 1764504 1792512 1815852 1990656 2016576 2091264 2118494 2322432 2352672 2390016 2421136 2646756 2688768 2723778 2788352 3024864 3136896 3177741 3186688 3483648 3529008 3585024 3631704 4033152 4085667 4182528 4236988 4644864 4705344 4780032 4842272 5293512 5377536 5447556 5576704 6049728 6273792 6355482 6967296 7058016 7170048 7263408 8066304 8171334 8365056 8473976 9410688 9533223 9560064 9684544 10587024 10755072 10895112 11153408 12099456 12257001 12547584 12710964 13934592 14116032 14340096 14526816 16132608 16342668 16730112 16947952 18821376 19066446 19369088 21174048 21510144 21790224 22306816 24198912 24514002 25095168 25421928 28232064 28599669 28680192 29053632 32265216 32685336 33460224 33895904 36771003 37642752 38132892 38738176 42348096 43020288 43580448 48397824 49028004 50190336 50843856 56464128 57199338 58107264 58863869 64530432 65370672 66920448 67791808 73542006 75285504 76265784 77476352 84696192 85799007 86040576 87160896 96795648 98056008 100380672 101687712 112928256 114398676 116214528 117727738 129060864 130741344 135583616 147084012 150571008 152531568 154952704 169392384 171598014 174321792 176591607 193591296 196112016 200761344 203375424 225856512 228797352 232429056 235455476 257397021 258121728 261482688 271167232 294168024 301142016 305063136 309905408 338784768 343196028 348643584 353183214 387182592 392224032 406750848 412047083 451713024 457594704 464858112 470910952 514794042 522965376 529774821 542334464 588336048 602284032 610126272 619810816 677569536 686392056 697287168 706366428 774365184 784448064 813501696 824094166 903426048 915189408 929716224 941821904 1029588084 1045930752 1059549642 1084668928 1176672096 1220252544 1236141249 1239621632 1355139072 1372784112 1394574336 1412732856 1568896128 1589324463 1627003392 1648188332 1806852096 1830378816 1859432448 1883643808 2059176168 2091861504 2119099284 2169337856 2353344192 2440505088 2472282498 2710278144 2745568224 2789148672 2825465712 3137792256 3178648926 3254006784 3296376664 3660757632 3708423747 3718864896 3767287616 4118352336 4183723008 4238198568 4338675712 4706688384 4767973389 4881010176 4944564996 5420556288 5491136448 5578297344 5650931424 6275584512 6357297852 6508013568 6592753328 7321515264 7416847494 7534575232 8236704672 8367446016 8476397136 8677351424 9413376768 9535946778 9762020352 9889129992 10982272896 11125271241 11156594688 11301862848 12551169024 12714595704 13016027136 13185506656 14303920167 14643030528 14833694988 15069150464 16473409344 16734892032 16952794272 18826753536 19071893556 19524040704 19778259984 21964545792 22250542482 22603725696 25102338048 25429191408 26032054272 26371013312 28607840334 29286061056 29667389976 30138300928 32946818688 33375813723 33469784064 33905588544 37653507072 38143787112 39048081408 39556519968 43929091584 44501084964 45207451392 50204676096 50858382816 52742026624 57215680668 58572122112 59334779952 60276601856 65893637376 66751627446 67811177088 75307014144 76287574224 78096162816 79113039936 87858183168 89002169928 90414902784 100127441169 100409352192 101716765632 105484053248 114431361336 117144244224 118669559904 120553203712 131787274752 133503254892 135622354176 150614028288 152575148448 158226079872 175716366336 178004339856 180829805568 200254882338 203433531264 210968106496 228862722672 234288488448 237339119808 241106407424 263574549504 267006509784 271244708352 301228056576 305150296896 316452159744 351432732672 356008679712 361659611136 400509764676 406867062528 421936212992 457725445344 474678239616 482212814848 527149099008 534013019568 542489416704 610300593792 632904319488 702865465344 712017359424 723319222272 801019529352 813734125056 843872425984 915450890688 949356479232 1054298198016 1068026039136 1084978833408 1220601187584 1265808638976 1424034718848 1446638444544 1602039058704 1627468250112 1687744851968 1830901781376 1898712958464 2108596396032 2136052078272 2169957666816 2441202375168 2531617277952 2848069437696 3204078117408 3254936500224 3375489703936 3661803562752 3797425916928 4272104156544 4339915333632 4882404750336 5063234555904 5696138875392 6408156234816 6509873000448 7323607125504 7594851833856 8544208313088 9764809500672 10126469111808 11392277750784 12816312469632 13019746000896 14647214251008 15189703667712 17088416626176 19529619001344 22784555501568 25632624939264 29294428502016 30379407335424 34176833252352 39059238002688 45569111003136 51265249878528 58588857004032 68353666504704 91138222006272 102530499757056 117177714008064 136707333009408 205060999514112 273414666018816 410121999028224 820243998056448
- Sum of all divisors σ(n): 2815473743671680
- Sum of proper divisors (its aliquot sum) s(n): 1995229745615232
- 820243998056448 is an abundant number, because the sum of its proper divisors (1995229745615232) is greater than itself. Its abundance is 1174985747558784
Bases of 820243998056448
- Binary: 101110101000000001111100000010001000100000000000002
- Hexadecimal: 0x2EA01F0222000
- Base-36: 82R2W2DC00
Squares and roots of 820243998056448
- 820243998056448 squared (8202439980564482) is 672800216347626270401394376704
- 820243998056448 cubed (8202439980564483) is 551860339350220156456259596034024932368187392
-
The
square root of 820243998056448 is 28639902.2005391631 -
The
cube root of 820243998056448 is 93608.2990416587
Scales and comparisons
How big is 820243998056448?- 820,243,998,056,448 seconds is equal to 26,081,221 years, 49 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 820,243,998,056,448 would take you about sixty-five million, two hundred three thousand and fifty-four 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 820243998056448 cubic inches would be around 7800.7 feet tall.
Recreational maths with 820243998056448
- 820243998056448 backwards is 844650899342028
- 820243998056448 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 820243998056448's digits is 72
- More coming soon!
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The information we have on file for 820243998056448 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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