82712072968358450688
82,712,072,968,358,450,688 is an even composite number composed of five prime numbers multiplied together.
82712072968358450688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 82712072968358450688:
29 × 32 × 37 × 1597 × 303773436899
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 37 × 1597 × 303773436899)See below for interesting mathematical facts about the number 82712072968358450688 from the Numbermatics database.
Names of 82712072968358450688
- Cardinal: 82712072968358450688 can be written as Eighty-two quintillion, seven hundred twelve quadrillion, seventy-two trillion, nine hundred sixty-eight billion, three hundred fifty-eight million, four hundred fifty thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 8.2712072968358450688 × 1019
Factors of 82712072968358450688
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 303773438538
Divisors of 82712072968358450688
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1152 1184 1332 1536 1597 1776 2304 2368 2664 3194 3552 4608 4736 4791 5328 6388 7104 9472 9582 10656 12776 14208 14373 18944 19164 21312 25552 28416 28746 38328 42624 51104 56832 57492 59089 76656 85248 102208 114984 118178 153312 170496 177267 204416 229968 236356 306624 354534 408832 459936 472712 531801 613248 709068 817664 919872 945424 1063602 1226496 1418136 1839744 1890848 2127204 2452992 2836272 3679488 3781696 4254408 5672544 7358976 7563392 8508816 11345088 15126784 17017632 22690176 30253568 34035264 45380352 68070528 90760704 136141056 272282112 303773436899 607546873798 911320310697 1215093747596 1822640621394 2430187495192 2733960932091 3645281242788 4860374990384 5467921864182 7290562485576 9720749980768 10935843728364 11239617165263 14581124971152 19441499961536 21871687456728 22479234330526 29162249942304 33718851495789 38882999923072 43743374913456 44958468661052 58324499884608 67437702991578 77765999846144 87486749826912 89916937322104 101156554487367 116648999769216 134875405983156 155531999692288 174973499653824 179833874644208 202313108974734 233297999538432 269750811966312 349946999307648 359667749288416 404626217949468 466595999076864 485126178727703 539501623932624 699893998615296 719335498576832 809252435898936 970252357455406 1079003247865248 1399787997230592 1438670997153664 1455378536183109 1618504871797872 1940504714910812 2158006495730496 2877341994307328 2910757072366218 3237009743595744 3881009429821624 4316012991460992 4366135608549327 5754683988614656 5821514144732436 6474019487191488 7762018859643248 8632025982921984 8732271217098654 11643028289464872 12948038974382976 15524037719286496 17264051965843968 17464542434197308 17949668612925011 23286056578929744 25896077948765952 31048075438572992 34929084868394616 35899337225850022 46572113157859488 51792155897531904 53849005838775033 62096150877145984 69858169736789232 71798674451700044 93144226315718976 107698011677550066 124192301754291968 139716339473578464 143597348903400088 161547017516325099 186288452631437952 215396023355100132 248384603508583936 279432678947156928 287194697806800176 323094035032650198 372576905262875904 430792046710200264 558865357894313856 574389395613600352 646188070065300396 745153810525751808 861584093420400528 1117730715788627712 1148778791227200704 1292376140130600792 1723168186840801056 2235461431577255424 2297557582454401408 2584752280261201584 3446336373681602112 4595115164908802816 5169504560522403168 6892672747363204224 9190230329817605632 10339009121044806336 13785345494726408448 20678018242089612672 27570690989452816896 41356036484179225344 82712072968358450688
- Sum of all divisors σ(n): 245317851486615164400
- Sum of proper divisors (its aliquot sum) s(n): 162605778518256713712
- 82712072968358450688 is an abundant number, because the sum of its proper divisors (162605778518256713712) is greater than itself. Its abundance is 79893705549898263024
Bases of 82712072968358450688
- Binary: 10001111011110111000101000000100011001010110011000111010110000000002
- Hexadecimal: 0x47BDC50232B31D600
- Base-36: HGEO6U9IHU9S0
Squares and roots of 82712072968358450688
- 82712072968358450688 squared (827120729683584506882) is 6841287014723052727946700090863727673344
- 82712072968358450688 cubed (827120729683584506883) is 565857030759256291582871855110125644937009562263746796060672
-
The
square root of 82712072968358450688 is 9094617802.2145851299 -
The
cube root of 82712072968358450688 is 4357020.8193585347
Scales and comparisons
How big is 82712072968358450688?- 82,712,072,968,358,450,688 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 82,712,072,968,358,450,688 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 82712072968358450688 cubic inches would be around 363085.1 feet tall.
Recreational maths with 82712072968358450688
- 82712072968358450688 backwards is 88605485386927021728
- The number of decimal digits it has is: 20
- The sum of 82712072968358450688's digits is 99
- More coming soon!
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