82825469397216
82,825,469,397,216 is an even composite number composed of seven prime numbers multiplied together.
What does the number 82825469397216 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
82825469397216 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 82825469397216:
25 × 32 × 74 × 13 × 43 × 472 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 7 × 13 × 43 × 47 × 47 × 97)See below for interesting mathematical facts about the number 82825469397216 from the Numbermatics database.
Names of 82825469397216
- Cardinal: 82825469397216 can be written as Eighty-two trillion, eight hundred twenty-five billion, four hundred sixty-nine million, three hundred ninety-seven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 8.2825469397216 × 1013
Factors of 82825469397216
Divisors of 82825469397216
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 43 47 48 49 52 56 63 72 78 84 86 91 94 96 97 98 104 112 117 126 129 141 144 147 156 168 172 182 188 194 196 208 224 234 252 258 273 282 288 291 294 301 312 329 336 343 344 364 376 387 388 392 416 423 441 468 504 516 546 559 564 582 588 602 611 624 637 658 672 679 686 688 728 752 774 776 784 819 846 873 882 903 936 987 1008 1029 1032 1092 1118 1128 1164 1176 1204 1222 1248 1261 1274 1316 1358 1372 1376 1456 1504 1548 1552 1568 1638 1677 1692 1746 1764 1806 1833 1872 1911 1974 2016 2021 2037 2058 2064 2107 2184 2209 2236 2256 2303 2328 2352 2401 2408 2444 2522 2548 2632 2709 2716 2744 2912 2961 3087 3096 3104 3276 3354 3384 3492 3528 3612 3666 3744 3783 3822 3913 3948 4042 4074 4116 4128 4171 4214 4277 4368 4418 4459 4472 4512 4559 4606 4656 4704 4753 4802 4816 4888 5031 5044 5096 5264 5418 5432 5488 5499 5733 5922 6063 6111 6174 6192 6321 6552 6627 6708 6768 6909 6984 7056 7203 7224 7332 7566 7644 7826 7896 8084 8148 8232 8342 8428 8554 8736 8827 8836 8918 8944 9118 9212 9312 9506 9604 9632 9776 10062 10088 10192 10528 10836 10864 10976 10998 11349 11466 11739 11844 12126 12222 12348 12384 12513 12642 12831 13104 13254 13377 13416 13536 13677 13818 13968 14112 14147 14259 14406 14448 14664 14749 15132 15288 15463 15652 15792 16121 16168 16296 16464 16684 16856 17108 17654 17672 17836 17888 18189 18236 18424 18963 19012 19208 19552 19881 20124 20176 20384 20727 21609 21672 21728 21996 22698 22932 23478 23688 24252 24444 24696 25026 25284 25662 26208 26273 26481 26508 26754 26832 27354 27391 27636 27936 28294 28518 28717 28812 28896 29197 29328 29498 29939 30264 30576 30926 31213 31304 31584 31913 32242 32336 32592 32928 33271 33368 33712 34216 35217 35308 35344 35672 36378 36472 36848 37539 37926 38024 38416 38493 39762 40131 40248 40352 41031 41454 42441 42777 43218 43344 43992 44247 45396 45864 46389 46956 47376 48363 48504 48888 49392 50052 50568 51324 52546 52962 53016 53508 53664 54223 54708 54782 55272 56588 57036 57434 57624 58394 58656 58996 59267 59878 60528 61152 61789 61852 62426 62608 63826 64484 64672 65184 66542 66736 67424 68432 70434 70616 70688 71344 72756 72944 73696 75078 75852 76048 76832 76986 78819 79443 79524 80262 80496 82062 82173 82908 84882 85554 86151 86436 86688 87591 87984 88494 89817 90792 91728 92778 93639 93912 94752 94987 95739 96726 97008 97776 98784 99029 99813 100104 101136 102648 103243 105092 105924 106032 107016 108241 108446 109416 109564 110544 112847 113176 114072 114868 115248 116788 117992 118534 119756 121056 123578 123704 124852 125216 127323 127652 128968 132741 133084 133472 136864 139167 140868 141232 142688 145089 145512 145888 150156 151704 152096 153972 157638 158886 159048 160524 160992 162669 164124 164346 165816 169764 171108 172302 172872 175182 175968 176988 177801 179634 181584 183456 183911 185367 185556 187278 187824 189974 191478 191737 193452 194016 195552 196037 198058 199626 200208 201019 202272 204379 205296 206486 209573 210184 211848 212064 214032 214273 216482 216892 218832 219128 221088 223391 225694 226352 228144 229736 230496 232897 233576 235984 236457 237068 239512 246519 247156 247408 249704 254646 255304 257936 258453 262773 265482 266168 269451 278334 280917 281736 282464 284961 287217 290178 291024 297087 299439 300312 303408 307944 309729 315276 317772 318096 321048 324723 325338 328248 328692 331632 338541 339528 342216 344604 345744 350364 353976 355602 359268 363168 367822 370734 371112 374556 375648 379561 379948 382956 383474 386904 392074 396116 399252 400416 402038 408758 410592 412972 414869 419146 420368 423696 428064 428546 432523 432964 433784 437664 438256 446782 451388 452704 456288 459472 465794 467152 471968 472914 474136 479024 488007 493038 494312 494816 499408 509292 510608 515872 516906 525546 530964 532336 533403 538902 551733 556101 556668 561834 563472 569922 574434 575211 580356 582048 588111 594174 598878 600624 603057 606816 613137 615888 619458 628719 630552 635544 636192 642096 642819 649446 650676 656496 657384 663264 664909 670173 677082 679056 684432 689208 691488 693203 698691 700728 707952 711204 718536 735644 741468 742224 749112 757687 759122 759896 765912 766948 773808 784148 792232 798504 804076 817516 825944 829738 838292 840736 847392 854883 857092 865046 865928 867568 876512 891261 893564 902776 918944 929187 931588 934304 945828 948272 958048 974169 976014 986076 988624 998816 1015623 1018584 1021216 1033812 1051092 1061928 1064672 1066806 1077804 1103466 1112202 1113336 1123668 1126944 1138683 1139844 1148868 1150422 1160712 1176222 1188348 1197756 1201248 1206114 1226274 1231776 1234831 1238916 1244607 1257438 1261104 1271088 1284192 1285638 1287377 1297569 1298892 1301352 1312992 1314768 1329818 1340346 1342159 1354164 1358112 1368864 1372259 1378416 1386406 1397382 1401456 1407133 1415904 1422408 1430653 1437072 1467011 1471288 1482936 1484448 1498224 1499911 1515374 1518244 1519792 1531824 1533896 1547616 1563737 1568296 1584464 1597008 1608152 1635032 1651888 1655199 1659476 1676584 1709766 1714184 1725633 1730092 1731856 1735136 1764333 1782522 1787128 1805552 1809171 1839411 1858374 1863176 1886157 1891656 1896544 1928457 1948338 1952028 1972152 1977248 1994727 2010519 2031246 2037168 2067624 2079609 2096073 2102184 2123856 2133612 2155608 2206932 2224404 2226672 2247336 2273061 2277366 2279688 2297736 2300844 2321424 2352444 2376696 2395512 2412228 2452548 2469662 2477832 2489214 2514876 2522208 2542176 2548481 2571276 2574754 2595138 2597784 2602704 2629536 2656927 2659636 2680692 2684318 2708328 2744518 2756832 2772812 2785549 2794764 2802912 2814266 2844816 2861306 2874144 2904083 2934022 2942576 2965872 2996448 2999822 3027661 3030748 3036488 3039584 3063648 3067792 3127474 3136592 3168928 3194016 3216304 3270064 3303776 3310398 3318952 3353168 3416049 3419532 3428368 3451266 3460184 3463712 3528666 3565044 3574256 3611104 3618342 3678822 3704493 3716748 3726352 3733821 3772314 3783312 3856914 3862131 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945593376 955443307 958228856 961398816 968107504 975771888 999004552 1007940192 1009303568 1028938946 1031938768 1041515384 1042577312 1050831264 1075851056 1078007463 1089120942 1091935208 1103192272 1123880121 1135466514 1138400536 1160931114 1171704807 1172899476 1175930224 1210332438 1228427109 1241091306 1244709648 1270641099 1280700603 1284434424 1297676016 1322921502 1326778416 1339091208 1340456544 1354419633 1368382722 1383237072 1397497248 1403916696 1412054511 1418390064 1437343284 1442098224 1452161256 1463657832 1498506828 1511910288 1513955352 1527496992 1543408419 1547908152 1562273076 1563865968 1576246896 1613776584 1637902812 1654788408 1676900498 1694188132 1707600804 1712579232 1748257966 1763895336 1785454944 1805892844 1824510296 1871888928 1882739348 1910886614 1916457712 1936215008 1951543776 1998009104 2018607136 2052574083 2057877892 2063877536 2083030768 2151702112 2156014926 2178241884 2183870416 2206384544 2247760242 2270933028 2276801072 2321862228 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6191632608 6249092304 6320624954 6455106336 6551611248 6619153632 6688103149 6707601992 6776752528 6830403216 6993031864 7055581344 7223571376 7298041184 7530957392 7546052241 7623846594 7643546456 7867160847 8126517798 8210296332 8231511568 8472327066 8598989763 8624059704 8712967536 8894487693 8991040968 9083732112 9260450514 9287448912 9373638456 9383195808 9480937431 9682659504 9827416872 9928730448 10061402988 10165128792 10245604824 10489547796 10583372016 10835357064 10947061776 11296436088 11465319684 11498746272 11738303486 11859316924 11988054624 12237805762 12347267352 12498184608 12641249908 13103222496 13376206298 13415203984 13553505056 13660806432 13986063728 14447142752 15061914784 15092104482 15247693188 15287092912 15734321694 16253035596 16420592664 16463023136 16944654132 17197979526 17248119408 17425935072 17607455229 17788975386 17982081936 18167464224 18356708643 18520901028 18574897824 18747276912 18961874862 19365319008 19654833744 19857460896 20064309447 20122805976 20330257584 20491209648 20979095592 21166744032 21670714128 21894123552 22122187339 22592872176 22930639368 23476606972 23718633848 24475611524 24694534704 25282499816 26683463079 26752412596 26830407968 27972127456 28442812293 30184208964 30495386376 30574185824 31468643388 32506071192 32841185328 33889308264 34395959052 34496238816 35214910458 35577950772 35964163872 36713417286 37041802056 37494553824 37923749724 39309667488 40128618894 40245611952 40660515168 40982419296 41084062201 41958191184 43341428256 44244374678 45185744352 45861278736 46953213944 47437267696 48951223048 49389069408 50564999632 52822365687 53366926158 53504825192 55070125929 56885624586 60192928341 60368417928 60990772752 62937286776 65012142384 65682370656 66366562017 67778616528 68791918104 70429820916 71155901544 73426834572 74083604112 75847499448 80257237788 80491223904 82168124402 83916382368 88488749356 91722557472 93906427888 94874535392 97902446096 101129999264 105644731374 106733852316 107009650384 110140251858 113771249172 120385856682 120736835856 121981545504 123252186603 125874573552 130024284768 132733124034 135557233056 137583836208 140859641832 142311803088 146853669144 148167208224 151694998896 160514475576 164336248804 176977498712 187812855776 195804892192 199099686051 211289462748 213467704632 214019300768 220280503716 227542498344 240771713364 241473671712 246504373206 251749147104 265466248068 275167672416 281719283664 284623606176 287588435407 293707338288 303389997792 321028951152 328672497608 353954997424 369756559809 398199372102 422578925496 426935409264 440561007432 455084996688 481543426728 493008746412 530932496136 563438567328 575176870814 587414676576 642057902304 657344995216 707909994848 739513119618 796398744204 845157850992 853870818528 862765306221 881122014864 910169993376 963086853456 986017492824 1061864992272 1150353741628 1314689990432 1479026239236 1592797488408 1690315701984 1725530612442 1762244029728 1926173706912 1972034985648 2123729984544 2300707483256 2588295918663 2958052478472 3185594976816 3451061224884 3944069971296 4601414966512 5176591837326 5916104956944 6371189953632 6902122449768 9202829933024 10353183674652 11832209913888 13804244899536 20706367349304 27608489799072 41412734698608 82825469397216
- Sum of all divisors σ(n): 312561410104944
- Sum of proper divisors (its aliquot sum) s(n): 229735940707728
- 82825469397216 is an abundant number, because the sum of its proper divisors (229735940707728) is greater than itself. Its abundance is 146910471310512
Bases of 82825469397216
- Binary: 100101101010100010011101010111010001000111000002
- Hexadecimal: 0x4B544EAE88E0
- Base-36: TCXHTZLK0
Squares and roots of 82825469397216
- 82825469397216 squared (828254693972162) is 6860058380869164146388550656
- 82825469397216 cubed (828254693972163) is 568187555487794097877942269885332201373696
-
The
square root of 82825469397216 is 9100849.9271889985 -
The
cube root of 82825469397216 is 43590.1103662199
Scales and comparisons
How big is 82825469397216?- 82,825,469,397,216 seconds is equal to 2,633,593 years, 38 weeks, 33 minutes, 36 seconds.
-
To count from 1 to 82,825,469,397,216 would take you about six million, five hundred eighty-three thousand, nine hundred eighty-four 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 82825469397216 cubic inches would be around 3632.5 feet tall.
Recreational maths with 82825469397216
- 82825469397216 backwards is 61279396452828
- 82825469397216 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 82825469397216's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 82825469397216 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 82825469397216 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/82825469397216/
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Numbermatics. 2024. "Number 82825469397216 - Facts about the integer". https://numbermatics.com/n/82825469397216/
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