82742375785680
82,742,375,785,680 is an even composite number composed of seven prime numbers multiplied together.
82742375785680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 82742375785680:
24 × 32 × 5 × 133 × 292 × 37 × 412
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 13 × 29 × 29 × 37 × 41 × 41)See below for interesting mathematical facts about the number 82742375785680 from the Numbermatics database.
Names of 82742375785680
- Cardinal: 82742375785680 can be written as Eighty-two trillion, seven hundred forty-two billion, three hundred seventy-five million, seven hundred eighty-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 8.274237578568 × 1013
Factors of 82742375785680
Divisors of 82742375785680
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 29 30 36 37 39 40 41 45 48 52 58 60 65 72 74 78 80 82 87 90 104 111 116 117 120 123 130 144 145 148 156 164 169 174 180 185 195 205 208 222 232 234 240 246 260 261 290 296 312 328 333 338 348 360 369 370 377 390 410 435 444 464 468 481 492 507 520 522 533 555 580 585 592 615 624 656 666 676 696 720 738 740 754 780 820 841 845 870 888 936 962 984 1014 1040 1044 1066 1073 1110 1131 1160 1170 1189 1230 1305 1332 1352 1392 1443 1476 1480 1508 1517 1521 1560 1599 1640 1665 1681 1682 1690 1740 1776 1845 1872 1885 1924 1968 2028 2088 2132 2146 2197 2220 2262 2320 2340 2378 2405 2460 2523 2535 2610 2664 2665 2704 2886 2952 2960 3016 3034 3042 3120 3198 3219 3280 3330 3362 3364 3380 3393 3480 3567 3690 3770 3848 4056 4176 4205 4264 4292 4329 4394 4440 4524 4551 4680 4756 4797 4810 4901 4920 5043 5046 5070 5220 5328 5330 5365 5655 5772 5904 5945 6032 6068 6084 6253 6396 6438 6591 6660 6724 6728 6760 6786 6929 6960 7134 7215 7380 7540 7569 7585 7605 7696 7995 8112 8405 8410 8528 8584 8658 8788 8880 9048 9102 9360 9512 9594 9620 9657 9802 9840 10086 10092 10140 10440 10660 10701 10730 10933 10985 11310 11544 11890 12136 12168 12506 12615 12792 12876 13182 13320 13448 13456 13520 13572 13653 13858 13949 14268 14430 14703 14760 15080 15129 15138 15170 15210 15457 15990 16095 16810 16820 16965 17168 17316 17576 17835 18096 18204 18759 19024 19188 19240 19314 19604 19721 19773 20172 20184 20280 20787 20880 21320 21402 21460 21645 21853 21866 21970 22620 22755 23088 23780 23985 24272 24336 24505 25012 25215 25230 25584 25752 26364 26640 26896 27144 27306 27716 27898 28536 28860 29406 29520 30160 30258 30276 30340 30420 30914 31117 31265 31980 32190 32799 32955 33620 33640 33930 34481 34632 34645 35152 35670 36408 37518 37845 38376 38480 38628 39208 39442 39546 40344 40368 40560 41574 41847 42640 42804 42920 43290 43706 43732 43940 43993 44109 45240 45510 46371 47560 47970 48285 48749 49010 50024 50430 50460 51504 52728 53505 54288 54612 54665 55432 55796 56277 57072 57720 58812 59163 60516 60552 60680 60840 61828 62197 62234 62361 62530 63713 63960 64380 65559 65598 65910 67240 67280 67860 68265 68962 69264 69290 69745 71340 72816 73515 75036 75645 75690 76752 77256 77285 78416 78884 79092 80688 81289 83148 83694 85608 85840 86580 87412 87464 87880 87986 88218 90077 90480 91020 92742 93351 93795 95120 95940 96570 97498 98020 98397 98605 98865 100048 100860 100920 103443 103935 105456 107010 109224 109265 109330 110864 111592 112554 115440 117624 118326 121032 121104 121360 121680 123656 124394 124468 124722 125060 125541 127426 127920 128760 131118 131196 131820 131979 134480 135720 136530 137924 138580 139113 139490 142129 142680 146247 147030 150072 151290 151380 154512 154570 155585 157768 158184 162578 163995 166296 167388 171216 172405 173160 174824 174928 175760 175972 176436 177489 180154 181337 182040 185484 186591 186702 187590 191139 191880 193140 194996 196040 196677 196794 197210 197730 200941 201720 201840 206886 207870 209235 214020 218448 218530 218660 219965 220545 223184 225108 231855 235248 236652 242064 243745 243867 247312 248788 248936 249444 250120 251082 254852 256373 257520 262236 262392 263640 263958 270231 271440 273060 275848 277160 278226 278980 280053 281385 284089 284258 285360 292494 294060 295815 300144 302580 302760 309140 310329 310985 311170 311805 315536 316368 318565 325156 327795 327990 332592 334776 344810 346320 349648 351944 352872 354978 360308 362674 364080 370968 373182 373404 375180 382278 383760 386280 389992 392080 393354 393588 394420 395460 395937 401882 403440 404521 406445 413772 415740 418470 426387 428040 437060 437320 438741 439930 441090 448253 450216 450385 463710 466755 473304 487490 487734 491985 497576 497872 498888 500240 502164 509704 512746 517215 524472 524784 527280 527916 540462 544011 546120 551696 554320 556452 557960 559773 560106 562770 568178 568516 571909 573417 584988 588120 591630 602823 605160 605520 618280 620658 621970 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91857384 91891865 92294280 93236624 93793076 94040388 94295240 94601637 94657914 96652621 97027320 97085040 98862972 99512166 99985470 101787912 102063760 102272040 102332880 102943620 104489320 104615354 104891202 105112930 105175460 106082145 107101553 107580720 108222780 110270238 110794710 110860620 111522255 113097680 113154288 114072660 114821730 116432784 116545780 117241345 117550485 118957072 119982564 123578715 125387184 126135516 126210552 127234890 129867336 130562640 131817296 132682888 132953652 133032744 133313960 133826706 136646809 136728098 137258160 139854936 140689614 141442860 144297040 144677520 145540980 145627560 147026984 147726280 147814160 148294458 148696340 149268249 149978205 151509514 152096880 153095640 156733980 156923031 157669395 157763190 159976752 161371080 162334170 164771620 165405357 165853610 166192065 166290930 168180688 169646520 169731432 174818670 177271536 178435608 183714768 183783730 184588560 187586152 188080776 188590480 189203274 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420701840 422068842 424328580 428406212 431219386 432891120 441080952 443178840 443442480 446089020 454528542 456290640 459286920 466183120 468965380 470201940 470769093 473008185 473289570 477837698 479930256 483263105 494314860 497560830 504542064 508939560 523076770 524456010 531814608 535306824 535507765 546587236 546912392 551351190 562758456 565771440 579915726 582163920 593177832 594785360 597072996 599912820 606038056 609654994 615276441 626935920 627692124 630677580 631052760 642609318 646829079 649336680 659086480 661621428 663414440 664768260 665163720 669133530 679999801 681792813 683234045 683640490 699274680 703448070 716756547 735134920 741472290 746341245 756813096 757263312 757547570 773220968 784615155 796097328 799883760 819880854 820368588 827026785 836922832 839129616 840903440 844137684 848657160 856812424 862438772 869873589 882161904 886357680 892178040 909057084 914482491 918573840 937930760 940403880 941538186 946016370 946579140 955675396 963913977 966526210 988629720 995121660 1017879120 1025460735 1046153540 1048912020 1055172105 1070613648 1071015530 1078048465 1093174472 1093824784 1102702380 1125516912 1136321355 1159831452 1186355664 1194145992 1194594245 1199825640 1212076112 1219309988 1229821281 1230552882 1255384248 1261355160 1262105520 1285218636 1293658158 1298673360 1323242856 1326828880 1329536520 1330327440 1338267060 1359999602 1363585626 1366468090 1367280980 1398549360 1406896140 1433513094 1449789315 1470269840 1482944580 1492682490 1513626192 1515095140 1524137485 1546441936 1569230310 1606523295 1639761708 1640737176 1654053570 1688275368 1697314320 1713624848 1724877544 1739747178 1784356080 1818114168 1828964982 1875861520 1880807760 1883076372 1892032740 1893158280 1911350792 1927827954 1933052420 1940487237 1977259440 1990243320 2039999403 2049702135 2050921470 2092307080 2097824040 2110344210 2142031060 2150269641 2156096930 2186348944 2205404760 2272642710 2319662904 2353845465 2388291984 2389188490 2399651280 2438619976 2459642562 2461105764 2510768496 2522710320 2570437272 2587316316 2646485712 2659073040 2676534120 2719999204 2727171252 2732936180 2734561960 2743447473 2802926009 2813792280 2867026188 2899578630 2965889160 2985364980 3030190280 3048274970 3076382205 3105945037 3138460620 3213046590 3234145395 3279523416 3281474352 3308107140 3376550736 3399999005 3408964065 3449755088 3479494356 3583782735 3636228336 3657929964 3766152744 3784065480 3786316560 3822701584 3855655908 3866104840 3880974474 3962757461 3980486640 4079998806 4099404270 4101842940 4184614160 4195648080 4220688420 4284062120 4300539282 4312193860 4349367945 4410809520 4545285420 4572412455 4639325808 4707690930 4778376980 4819569885 4877239952 4919285124 4922211528 5140874544 5174632632 5353068240 5439998408 5454342504 5465872360 5469123920 5486894946 5605852018 5627584560 5734052376 5799157260 5931778320 5970729960 6060380560 6096549940 6119998209 6149106405 6152764410 6211890074 6276921240 6426093180 6468290790 6559046832 6616214280 6799998010 6817928130 6958988712 7167565470 7315859928 7532305488 7568130960 7711311816 7732209680 7761948948 7925514922 8159997612 8198808540 8203685880 8408778027 8441376840 8568124240 8601078564 8624387720 8698735890 8839997413 9090570840 9144824910 9317835111 9415381860 9556753960 9639139770 9702436185 9838570248 9844423056 10199997015 10349265264 10751348205 10879996816 10908685008 10931744720 10973789892 11211704036 11468104752 11598314520 11888272383 11941459920 12193099880 12239996418 12298212810 12305528820 12423780148 12553842480 12852186360 12936581580 13232428560 13599996020 13635856260 13717237365 13917977424 14014630045 14335130940 14631719856 15422623632 15523897896 15529725185 15851029844 16319995224 16397617080 16407371760 16817556054 16882753680 17202157128 17248775440 17397471780 17679994826 18181141680 18289649820 18635670222 18830763720 19113507920 19278279540 19404872370 19677140496 19813787305 20399994030 21502696410 21947579784 22423408072 23196629040 23776544766 24386199760 24479992836 24596425620 24611057640 24847560296 25226334081 25704372720 25873163160 26519992239 27199992040 27271712520 27434474730 27953505333 28029260090 28670261880 30599991045 31047795792 31059450370 31702059688 32639990448 32795234160 33635112108 34404314256 34794943560 35359989652 35664817149 36579299640 37271340444 37661527440 38556559080 38809744740 39627574610 40799988060 42043890135 43005392820 43895159568 44199987065 44846816144 46589175555 47553089532 48959985672 49192851240 49222115280 49695120592 50452668162 51746326320 53039984478 54399984080 54543425040 54868949460 55907010666 56058520180 57340523760 59441361915 61199982090 62118900740 63404119376 67270224216 69589887120 70719979304 71329634298 73158599280 74542680888 77113118160 77619489480 79255149220 79559976717 81599976120 84087780270 86010785640 88399974130 93178351110 95106179064 97919971344 98385702480 100905336324 106079968956 109737898920 111814021332 112117040360 114919966369 118882723830 122399964180 124237801480 126131670405 132599961195 134540448432 139767526665 141439958608 142659268596 149085361776 155238978960 158510298440 159119953434 163199952240 168175560540 172021571280 176799948260 178324085745 186356702220 190212358128 201810672648 212159937912 219475797840 223628042664 224234080720 229839932738 237765447660 244799928360 248475602960 252263340810 265199922390 279535053330 285318537192 317020596880 318239906868 336351121080 344759899107 353599896520 356648171490 372713404440 397799883585 403621345296 424319875824 447256085328 459679865476 475530895320 489599856720 504526681620 530399844780 559070106660 570637074384 574599831845 636479813736 672702242160 689519798214 707199793040 713296342980 745426808880 795599767170 919359730952 951061790640 1009053363240 1034279697321 1060799689560 1118140213320 1149199663690 1272959627472 1379039596428 1426592685960 1591199534340 1723799495535 1838719461904 2018106726480 2068559394642 2121599379120 2236280426640 2298399327380 2758079192856 2853185371920 3182399068680 3447598991070 4137118789284 4596798654760 5171398486605 5516158385712 6364798137360 6895197982140 8274237578568 9193597309520 10342796973210 13790395964280 16548475157136 20685593946420 27580791928560 41371187892840 82742375785680
- Sum of all divisors σ(n): 328186175313360
- Sum of proper divisors (its aliquot sum) s(n): 245443799527680
- 82742375785680 is an abundant number, because the sum of its proper divisors (245443799527680) is greater than itself. Its abundance is 162701423742000
Bases of 82742375785680
- Binary: 100101101000000111101011110101010100100110100002
- Hexadecimal: 0x4B40F5EAA4D0
- Base-36: TBVBM74K0
Squares and roots of 82742375785680
- 82742375785680 squared (827423757856802) is 6846300750658683997293062400
- 82742375785680 cubed (827423757856803) is 566479189452783902088036396992413266432000
-
The
square root of 82742375785680 is 9096283.6249580521 -
The
cube root of 82742375785680 is 43575.5284118949
Scales and comparisons
How big is 82742375785680?- 82,742,375,785,680 seconds is equal to 2,630,951 years, 31 weeks, 5 days, 9 hours, 48 minutes.
-
To count from 1 to 82,742,375,785,680 would take you about six million, five hundred seventy-seven thousand, three hundred seventy-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 82742375785680 cubic inches would be around 3631.3 feet tall.
Recreational maths with 82742375785680
- 82742375785680 backwards is 08658757324728
- 82742375785680 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 82742375785680's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 82742375785680 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 82742375785680 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/82742375785680/
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Numbermatics. 2024. "Number 82742375785680 - Facts about the integer". https://numbermatics.com/n/82742375785680/
The information we have on file for 82742375785680 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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