820019104795843970072

Names of 820019104795843970072

• Cardinal: 820019104795843970072 can be written as Eight hundred twenty quintillion, nineteen quadrillion, one hundred four trillion, seven hundred ninety-five billion, eight hundred forty-three million, nine hundred seventy thousand and seventy-two.

Scientific notation

• Scientific notation: 8.20019104795843970072 × 10²⁰

Factors of 820019104795843970072

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 6680926

Divisors of 820019104795843970072

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 4 8 11 22 31 44 62 88 124 229 248 341 458 682 916 1364 1832 2519 2728 5038 7027 7099 10076 14054 14198 20152 28108 28109 28396 56216 56218 56792 77297 78089 112436 154594 156178 217837 224872 309188 309199 312356 435674 618376 618398 624712 871348 871379 1236796 1609183 1742696 1742758 2396207 2473592 3218366 3485516 4792414 6436732 6436961 6645517 6971032 9584828 9585169 12873464 12873922 13291034 17701013 19169656 19170338 25747844 26582068 35402026 38340676 49884673 51495688 53164136 70804052 70806571 73100687 76681352 99769346 141608104 141613142 146201374 197521943 199538692 199545791 206011027 283226284 292402748 395043886 399077384 399091582 412022054 548731403 566452568 584805496 790087772 798183164 824044108 1097462806 1521823393 1580175544 1596366328 1648088216 2172741373 2194925612 2195003701 2266121297 3043646786 4345482746 4389851224 4390007402 4532242594 6087293572 6123180233 8690965492 8780014804 9064485188 12174587144 12246360466 16740057323 17381930984 17560029608 18128970376 24492720932 33480114646 45232524947 46698047959 47176525183 48985441864 66960229292 67354982563 90465049894 93396095918 94353050366 133920458584 134709965126 180930099788 186792191836 186798837353 188706100732 269419930252 361860199576 373584383672 373597674706 377412201464 497557774417 513678527549 518941777013 538839860504 747195349412 995115548834 1027357055098 1037883554026 1402208273357 1447639486729 1494390698824 1990231097668 2054714110196 2054787210883 2075767108052 2804416546714 2895278973458 3980462195336 4109428220392 4109574421766 4151534216104 5608833093428 5790557946916 5790763957943 8219148843532 10693852982611 11217666186856 11581115893832 11581527915886 15424291006927 15924034354019 16438297687064 21387705965222 23163055831772 30848582013854 31848068708038 42775411930444 42776933753837 46326111663544 61697164027708 63696137416076 63698403537373 85550823860888 85553867507674 117632382808721 123394328055416 127392274832152 127396807074746 171107735015348 235264765617442 254793614149492 331509442460941 342215470030696 470529531234884 470546271292207 509587228298984 663018884921882 941059062469768 941092542584414 1312635430079531 1326037769843764 1326084946368947 1882185085168828 2625270860159062 2652075539687528 2652169892737894 3646603867070351 3764370170337656 5250541720318124 5304339785475788 7293207734140702 10501083440636248 10608679570951576 14438989730874841 14586415468281404 14586934410058417 28877979461749682 29172830936562808 29173868820116834 40691698332465461 57755958923499364 58347737640233668 81383396664930922 115511917846998728 116695475280467336 162766793329861844 300593513488212599 325533586659723688 447608681657120071 601187026976425198 895217363314240142 1202374053952850396 1790434726628480284 2404748107905700792 3306528648370338589 3580869453256960568 6613057296740677178 9318398918134590569 13226114593481354356 18636797836269181138 26452229186962708712 37273595672538362276 74547191345076724552 102502388099480496259 205004776198960992518 410009552397921985036 820019104795843970072
• Sum of all divisors σ(n): 1739289024970624512000
• Sum of proper divisors (its aliquot sum) s(n): 919269920174780541928
• 820019104795843970072 is an abundant number, because the sum of its proper divisors (919269920174780541928) is greater than itself. Its abundance is 99250815378936571856

Bases of 820019104795843970072

• Binary: 1011000111010000001101000101110010101000010110000110010100010000011000₂
• Hexadecimal: 0x2C740D172A16194418
• Base-36: 4T24CGHG8ANBIW

Squares and roots of 820019104795843970072

• 820019104795843970072 squared (820019104795843970072²) is 672431332230177335157856135675962431685184
• 820019104795843970072 cubed (820019104795843970072³) is 551406539092066761180121227074526719404728010726995919821813248
• The square root of 820019104795843970072 is 28635975708.8150214487
• The cube root of 820019104795843970072 is 9359974.3132309569

Scales and comparisons

• 820,019,104,795,843,970,072 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 820,019,104,795,843,970,072 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 820019104795843970072 cubic inches would be around 779997.9 feet tall.

Recreational maths with 820019104795843970072

• 820019104795843970072 backwards is 270079348597401910028
• The number of decimal digits it has is: 21
• The sum of 820019104795843970072's digits is 86
• More coming soon!