820493861879808

Names of 820493861879808

• Cardinal: 820493861879808 can be written as Eight hundred twenty trillion, four hundred ninety-three billion, eight hundred sixty-one million, eight hundred seventy-nine thousand, eight hundred eight.

Scientific notation

• Scientific notation: 8.20493861879808 × 10¹⁴

Factors of 820493861879808

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 241

Divisors of 820493861879808

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 144 162 172 192 193 216 256 258 288 324 344 384 386 387 432 512 516 576 579 648 688 768 772 774 864 1024 1032 1152 1158 1161 1296 1376 1536 1544 1548 1728 1737 2048 2064 2304 2316 2322 2592 2752 3072 3088 3096 3456 3474 3483 4096 4128 4608 4632 4644 5184 5211 5504 6144 6176 6192 6912 6948 6966 8192 8256 8299 9216 9264 9288 10368 10422 11008 12288 12352 12384 13824 13896 13932 15633 16384 16512 16598 18432 18528 18576 20736 20844 22016 24576 24704 24768 24897 27648 27792 27864 31266 32768 33024 33196 36864 37056 37152 37249 41472 41688 44032 49152 49408 49536 49794 55296 55584 55728 62532 66048 66392 73728 74112 74304 74498 74691 82944 83376 88064 98304 98816 99072 99588 110592 111168 111456 111747 125064 132096 132784 147456 148224 148608 148996 149382 165888 166752 176128 197632 198144 199176 221184 222336 222912 223494 224073 250128 264192 265568 294912 296448 297216 297992 298764 331776 333504 335241 352256 395264 396288 398352 442368 444672 445824 446988 448146 500256 528384 531136 592896 594432 595984 597528 663552 667008 670482 672219 704512 790528 792576 796704 884736 889344 891648 893976 896292 1000512 1005723 1056768 1062272 1185792 1188864 1191968 1195056 1327104 1334016 1340964 1344438 1409024 1581056 1585152 1593408 1601707 1778688 1783296 1787952 1792584 2001024 2011446 2113536 2124544 2371584 2377728 2383936 2390112 2654208 2668032 2681928 2688876 3017169 3162112 3170304 3186816 3203414 3557376 3566592 3575904 3585168 4002048 4022892 4227072 4249088 4743168 4755456 4767872 4780224 4805121 5336064 5363856 5377752 6034338 6324224 6340608 6373632 6406828 7114752 7133184 7151808 7170336 7189057 8004096 8045784 8498176 9486336 9510912 9535744 9560448 9610242 10672128 10727712 10755504 12068676 12681216 12747264 12813656 14229504 14266368 14303616 14340672 14378114 14415363 16008192 16091568 16996352 18972672 19021824 19071488 19120896 19220484 21344256 21455424 21511008 21567171 24137352 25494528 25627312 28459008 28532736 28607232 28681344 28756228 28830726 32016384 32183136 33992704 38043648 38142976 38241792 38440968 42688512 42910848 43022016 43134342 43246089 48274704 50989056 51254624 56918016 57065472 57214464 57362688 57512456 57661452 64032768 64366272 64701513 67985408 76285952 76483584 76881936 85377024 85821696 86044032 86268684 86492178 96549408 101978112 102509248 114130944 114428928 114725376 115024912 115322904 128065536 128732544 129403026 129738267 135970816 152571904 152967168 153763872 170754048 171643392 172088064 172537368 172984356 193098816 194104539 203956224 205018496 228857856 229450752 230049824 230645808 256131072 257465088 258806052 259476534 271941632 305143808 305934336 307527744 309129451 343286784 344176128 345074736 345968712 386197632 388209078 407912448 410036992 457715712 458901504 460099648 461291616 512262144 514930176 517612104 518953068 582313617 610287616 611868672 615055488 618258902 686573568 688352256 690149472 691937424 772395264 776418156 815824896 820073984 915431424 917803008 920199296 922583232 927388353 1029860352 1035224208 1037906136 1164627234 1220575232 1223737344 1230110976 1236517804 1373147136 1376704512 1380298944 1383874848 1544790528 1552836312 1640147968 1830862848 1835606016 1840398592 1845166464 1854776706 2059720704 2070448416 2075812272 2329254468 2447474688 2460221952 2473035608 2746294272 2753409024 2760597888 2767749696 2782165059 3089581056 3105672624 3280295936 3661725696 3671212032 3680797184 3690332928 3709553412 4119441408 4140896832 4151624544 4658508936 4920443904 4946071216 5492588544 5506818048 5521195776 5535499392 5564330118 6179162112 6211345248 6560591872 7342424064 7361594368 7380665856 7419106824 8238882816 8281793664 8303249088 8346495177 9317017872 9840887808 9892142432 10985177088 11013636096 11042391552 11070998784 11128660236 12358324224 12422690496 13121183744 14723188736 14761331712 14838213648 16477765632 16563587328 16606498176 16692990354 18634035744 19681775616 19784284864 22027272192 22084783104 22141997568 22257320472 24716648448 24845380992 25039485531 26242367488 29446377472 29522663424 29676427296 32955531264 33127174656 33212996352 33385980708 37268071488 39363551232 39568569728 44169566208 44283995136 44514640944 49433296896 49690761984 50078971062 52484734976 58892754944 59045326848 59352854592 66254349312 66425992704 66771961416 74536142976 78727102464 79137139456 88339132416 88567990272 89029281888 98866593792 99381523968 100157942124 117785509888 118090653696 118705709184 132508698624 132851985408 133543922832 149072285952 157454204928 158274278912 176678264832 177135980544 178058563776 198763047936 200315884248 235571019776 236181307392 237411418368 265017397248 265703970816 267087845664 298144571904 316548557824 353356529664 354271961088 356117127552 397526095872 400631768496 472362614784 474822836736 530034794496 531407941632 534175691328 596289143808 633097115648 706713059328 708543922176 712234255104 795052191744 801263536992 949645673472 1060069588992 1062815883264 1068351382656 1192578287616 1266194231296 1417087844352 1424468510208 1590104383488 1602527073984 1899291346944 2120139177984 2125631766528 2136702765312 2385156575232 2532388462592 2848937020416 3180208766976 3205054147968 3798582693888 4251263533056 4273405530624 4770313150464 5064776925184 5697874040832 6360417533952 6410108295936 7597165387776 8546811061248 9540626300928 10129553850368 11395748081664 12820216591872 15194330775552 17093622122496 19081252601856 22791496163328 25640433183744 30388661551104 34187244244992 45582992326656 51280866367488 68374488489984 91165984653312 102561732734976 136748976979968 205123465469952 273497953959936 410246930939904 820493861879808
• Sum of all divisors σ(n): 2521386119010000
• Sum of proper divisors (its aliquot sum) s(n): 1700892257130192
• 820493861879808 is an abundant number, because the sum of its proper divisors (1700892257130192) is greater than itself. Its abundance is 880398395250384

Bases of 820493861879808

• Binary: 10111010100011110000011101001011011000000000000000₂
• Hexadecimal: 0x2EA3C1D2D8000
• Base-36: 82U9OCU800

Squares and roots of 820493861879808

• 820493861879808 squared (820493861879808²) is 673210177382441447491438116864
• 820493861879808 cubed (820493861879808³) is 552364818297309956601169869982859758625882112
• The square root of 820493861879808 is 28644264.0310378371
• The cube root of 820493861879808 is 93617.8031050803

Scales and comparisons

• 820,493,861,879,808 seconds is equal to 26,089,166 years, 44 weeks, 2 days, 17 hours, 16 minutes, 48 seconds.
• To count from 1 to 820,493,861,879,808 would take you about sixty-five million, two hundred twenty-two thousand, nine hundred seventeen 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 820493861879808 cubic inches would be around 7801.5 feet tall.

Recreational maths with 820493861879808

• 820493861879808 backwards is 808978168394028
• 820493861879808 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 820493861879808's digits is 81
• More coming soon!