830329227366073974
830,329,227,366,073,974 is an even composite number composed of seven prime numbers multiplied together.
830329227366073974 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 830329227366073974:
2 × 32 × 73 × 11 × 19 × 71 × 9063147859
(2 × 3 × 3 × 7 × 7 × 7 × 11 × 19 × 71 × 9063147859)See below for interesting mathematical facts about the number 830329227366073974 from the Numbermatics database.
Names of 830329227366073974
- Cardinal: 830329227366073974 can be written as Eight hundred thirty quadrillion, three hundred twenty-nine trillion, two hundred twenty-seven billion, three hundred sixty-six million, seventy-three thousand, nine hundred seventy-four.
Scientific notation
- Scientific notation: 8.30329227366073974 × 1017
Factors of 830329227366073974
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 9063147972
Divisors of 830329227366073974
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 49 57 63 66 71 77 98 99 114 126 133 142 147 154 171 198 209 213 231 266 294 342 343 399 418 426 441 462 497 539 627 639 686 693 781 798 882 931 994 1029 1078 1197 1254 1278 1349 1386 1463 1491 1562 1617 1862 1881 2058 2343 2394 2698 2793 2926 2982 3087 3234 3479 3762 3773 4047 4389 4473 4686 4851 5467 5586 6174 6517 6958 7029 7546 8094 8379 8778 8946 9443 9702 10241 10437 10934 11319 12141 13034 13167 14058 14839 16401 16758 18886 19551 20482 20874 22638 24282 24353 26334 28329 29678 30723 31311 32802 33957 38269 39102 44517 48706 49203 56658 58653 61446 62622 66101 67914 71687 73059 76538 84987 89034 92169 98406 103873 114807 117306 132202 133551 143374 146118 169974 184338 198303 207746 215061 219177 229614 267102 267883 311619 344421 396606 430122 438354 462707 535766 594909 623238 645183 688842 727111 803649 925414 934857 1189818 1290366 1388121 1454222 1607298 1869714 2181333 2410947 2776242 4164363 4362666 4821894 5089777 6543999 8328726 10179554 13087998 15269331 30538662 45807993 91615986 9063147859 18126295718 27189443577 54378887154 63442035013 81568330731 99694626449 126884070026 163136661462 172199809321 190326105039 199389252898 299083879347 344399618642 380652210078 444094245091 516599427963 570978315117 598167758694 643483497989 697862385143 888188490182 897251638041 1033198855926 1141956630234 1205398665247 1286966995978 1332282735273 1395724770286 1549798283889 1794503276082 1894197902531 1930450493967 2093587155429 2410797330494 2664565470546 3099596567778 3108659715637 3616195995741 3788395805062 3860900987934 3996848205819 4187174310858 4504384485923 4885036696001 5682593707593 5791351481901 6217319431274 6280761466287 7078318477879 7232391991482 7993696411638 8437790656729 9008768971846 9325979146911 9770073392002 10848587987223 11365187415186 11582702963802 12226186461791 12561522932574 13259385317717 13513153457769 14156636955758 14655110088003 16875581313458 17047781122779 18651958293822 21234955433637 21697175974446 24452372923582 25313371970187 26518770635434 27026306915538 27977937440733 29310220176006 31530691401461 34095562245558 34195256872007 36678559385373 39778155953151 40539460373307 42469910867274 43965330264009 49548229345153 50626743940374 55955874881466 59064534597103 63061382802922 63704866300911 68390513744014 73357118770746 75940115910561 79556311906302 81078920746614 85583305232537 87930660528018 92815697224019 94592074204383 99096458690306 102585770616021 110035678156119 118129069194206 119334467859453 127409732601822 134488051079701 148644688035459 151880231821122 171166610465074 177193603791309 185631394448038 189184148408766 205171541232042 220071356312238 220714839810227 238668935718906 256749915697611 268976102159402 278447091672057 283776222613149 297289376070918 307757311848063 346837605416071 354387207582618 403464153239103 441429679620454 445934064106377 513499831395222 531580811373927 556894183344114 567552445226298 599083136627759 615514623696126 649709880568133 662144519430681 693675210832142 770249747092833 806928306478206 835341275016171 891868128212754 941416357557907 1040512816248213 1063161622747854 1198166273255518 1210392459717309 1299419761136266 1324289038861362 1540499494185666 1670682550032342 1797249409883277 1882832715115814 1949129641704399 1986433558292043 2081025632496426 2420784919434618 2427863237912497 2824249072673721 3121538448744639 3594498819766554 3898259283408798 3972867116584086 4193581956394313 4855726475824994 5391748229649831 5648498145347442 5847388925113197 6243076897489278 6589914502905349 7283589713737491 8387163912788626 8472747218021163 10783496459299662 11694777850226394 12580745869182939 13179829005810698 14567179427474982 16945494436042326 19769743508716047 21850769141212473 25161491738365878 37742237607548817 39539487017432094 43701538282424946 46129401520337443 59309230526148141 75484475215097634 92258803040674886 118618461052296282 138388204561012329 276776409122024658 415164613683036987 830329227366073974
- Sum of all divisors σ(n): 2443134642324480000
- Sum of proper divisors (its aliquot sum) s(n): 1612805414958406026
- 830329227366073974 is an abundant number, because the sum of its proper divisors (1612805414958406026) is greater than itself. Its abundance is 782476187592332052
Bases of 830329227366073974
- Binary: 1011100001011110110000001000011100111100011110000110011101102
- Hexadecimal: 0xB85EC0873C78676
- Base-36: 6B3R593OF0XI
Squares and roots of 830329227366073974
- 830329227366073974 squared (8303292273660739742) is 689446625818341368846486350440152676
- 830329227366073974 cubed (8303292273660739743) is 572467684125890097390636120009256135467444791270054424
-
The
square root of 830329227366073974 is 911224026.9912081143 -
The
cube root of 830329227366073974 is 939903.8785695085
Scales and comparisons
How big is 830329227366073974?- 830,329,227,366,073,974 seconds is equal to 26,401,901,053 years, 15 weeks, 6 days, 15 hours, 12 minutes, 54 seconds.
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To count from 1 to 830,329,227,366,073,974 would take you about seventy-nine billion, two hundred five million, seven hundred three thousand, one hundred fifty-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 830329227366073974 cubic inches would be around 78325.3 feet tall.
Recreational maths with 830329227366073974
- 830329227366073974 backwards is 479370663722923038
- The number of decimal digits it has is: 18
- The sum of 830329227366073974's digits is 81
- More coming soon!
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The information we have on file for 830329227366073974 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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