82825561728
82,825,561,728 is an even composite number composed of seven prime numbers multiplied together.
What does the number 82825561728 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
82825561728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 82825561728:
27 × 32 × 7 × 13 × 73 × 79 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 73 × 79 × 137)See below for interesting mathematical facts about the number 82825561728 from the Numbermatics database.
Names of 82825561728
- Cardinal: 82825561728 can be written as Eighty-two billion, eight hundred twenty-five million, five hundred sixty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 8.2825561728 × 1010
Factors of 82825561728
Divisors of 82825561728
- Number of divisors d(n): 768
-
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 48 52 56 63 64 72 73 78 79 84 91 96 104 112 117 126 128 137 144 146 156 158 168 182 192 208 219 224 234 237 252 273 274 288 292 312 316 336 364 384 411 416 438 448 468 474 504 511 546 548 553 576 584 624 632 657 672 711 728 819 822 832 876 896 936 948 949 959 1008 1022 1027 1092 1096 1106 1152 1168 1233 1248 1264 1314 1344 1422 1456 1533 1638 1644 1659 1664 1752 1781 1872 1896 1898 1918 2016 2044 2054 2184 2192 2212 2336 2466 2496 2528 2628 2688 2844 2847 2877 2912 3066 3081 3276 3288 3318 3504 3562 3744 3792 3796 3836 4032 4088 4108 4368 4384 4424 4599 4672 4932 4977 4992 5056 5256 5343 5688 5694 5754 5767 5824 6132 6162 6552 6576 6636 6643 7008 7124 7189 7488 7584 7592 7672 8064 8176 8216 8541 8631 8736 8768 8848 9198 9243 9344 9864 9954 10001 10112 10512 10686 10823 11376 11388 11508 11534 11648 12264 12324 12467 13104 13152 13272 13286 14016 14248 14378 14976 15168 15184 15344 16029 16352 16432 17082 17262 17301 17472 17536 17696 18396 18486 19728 19908 19929 20002 21024 21372 21567 21646 22752 22776 23016 23068 24528 24648 24934 26208 26304 26544 26572 28032 28496 28756 30003 30336 30368 30688 32058 32469 32704 32864 34164 34524 34602 34944 35392 36792 36972 37401 39456 39816 39858 40004 40369 42048 42744 43134 43292 45504 45552 46032 46136 49056 49296 49868 51903 52416 52608 53088 53144 56992 57512 59787 60006 60736 61376 64116 64701 64938 65408 65728 68328 69048 69204 70007 70784 73584 73944 74802 74971 75761 78912 79632 79716 80008 80738 84096 85488 86268 86584 90009 91008 91104 92064 92272 97407 98112 98592 99736 103806 104832 106176 106288 112203 113984 115024 119574 120012 121107 121472 122752 128232 129402 129876 130013 131456 136656 138096 138408 140014 140699 147168 147888 149604 149942 151522 157824 159264 159432 160016 161476 170976 172536 173168 180018 182208 184128 184544 194814 196224 197184 199472 207612 210021 212352 212576 224406 224913 227283 227968 230048 239148 240024 242214 256464 258804 259752 260026 273312 276192 276816 280028 281398 294336 295776 299208 299884 303044 318528 318864 320032 322952 341952 345072 346336 360036 363321 364416 368256 369088 389628 390039 394368 398944 415224 420042 422097 425152 448812 449826 454566 460096 478296 480048 484428 512928 517608 519504 520052 524797 546624 552384 553632 560056 562796 588672 591552 598416 599768 606088 630063 637056 637728 640064 645904 674739 681849 683904 690144 692672 720072 726642 738176 779256 780078 790079 797888 830448 840084 844194 850304 897624 899652 909132 910091 920192 956592 960096 968856 984893 1025856 1035216 1039008 1040104 1049594 1093248 1104768 1107264 1120112 1125592 1170117 1183104 1196832 1199536 1212176 1260126 1266291 1275456 1280128 1291808 1349478 1363698 1380288 1385344 1440144 1453284 1558512 1560156 1574391 1580158 1595776 1660896 1680168 1688388 1795248 1799304 1818264 1820182 1913184 1920192 1937712 1969786 2051712 2070432 2078016 2080208 2099188 2214528 2240224 2251184 2340234 2370237 2393664 2399072 2424352 2520252 2532582 2550912 2583616 2698956 2727396 2730273 2760576 2880288 2906568 2954679 3117024 3120312 3148782 3160316 3321792 3360336 3376776 3590496 3598608 3636528 3640364 3826368 3840384 3875424 3939572 4140864 4156032 4160416 4198376 4480448 4502368 4680468 4723173 4740474 4787328 4798144 4848704 5040504 5065164 5167232 5397912 5454792 5460546 5530553 5760576 5813136 5909358 6234048 6240624 6297564 6320632 6643584 6720672 6753552 7110711 7180992 7197216 7273056 7280728 7652736 7750848 7879144 8190819 8281728 8320832 8396752 8864037 8960896 9004736 9360936 9446346 9480948 9596288 9697408 10081008 10130328 10271027 10795824 10909584 10921092 11061106 11521152 11626272 11818716 12468096 12481248 12595128 12641264 13441344 13507104 14221422 14361984 14394432 14546112 14561456 15501696 15758288 16381638 16591659 16641664 16793504 17728074 18009472 18721872 18892692 18961896 20162016 20260656 20542054 21591648 21819168 21842184 22122212 23252544 23637432 24962496 25190256 25282528 26882688 27014208 28442844 28788864 29092224 29122912 30813081 31516576 32763276 33183318 33587008 35456148 37443744 37785384 37923792 40324032 40521312 41084108 43183296 43638336 43684368 44244424 46505088 47274864 49774977 49924992 50380512 50565056 54028416 56885688 58245824 61626162 63033152 65526552 66366636 67174016 70912296 71897189 74887488 75570768 75847584 80648064 81042624 82168216 86366592 87276672 87368736 88488848 92439243 94549728 99549954 100761024 101130112 113771376 116491648 123252324 126066304 131053104 132733272 141824592 143794378 149774976 151141536 151695168 162085248 164336432 174737472 176977696 184878486 189099456 199099908 201522048 215691567 227542752 246504648 262106208 265466544 283649184 287588756 302283072 303390336 328672864 349474944 353955392 369756972 378198912 398199816 431383134 455085504 493009296 524212416 530933088 567298368 575177512 604566144 647074701 657345728 707910784 739513944 796399632 862766268 910171008 986018592 1048424832 1061866176 1134596736 1150355024 1294149402 1314691456 1479027888 1592799264 1725532536 1972037184 2123732352 2300710048 2588298804 2958055776 3185598528 3451065072 3944074368 4601420096 5176597608 5916111552 6371197056 6902130144 9202840192 10353195216 11832223104 13804260288 20706390432 27608520576 41412780864 82825561728
- Sum of all divisors σ(n): 303320908800
- Sum of proper divisors (its aliquot sum) s(n): 220495347072
- 82825561728 is an abundant number, because the sum of its proper divisors (220495347072) is greater than itself. Its abundance is 137669785344
Bases of 82825561728
- Binary: 10011010010001100100111000110100000002
- Hexadecimal: 0x1348C9C680
- Base-36: 121S78G0
Squares and roots of 82825561728
- 82825561728 squared (828255617282) is 6860073675558738345984
- 82825561728 cubed (828255617283) is 568189455673618127765098412900352
-
The
square root of 82825561728 is 287794.3045440617 -
The
cube root of 82825561728 is 4359.0126563763
Scales and comparisons
How big is 82825561728?- 82,825,561,728 seconds is equal to 2,633 years, 31 weeks, 4 hours, 28 minutes, 48 seconds.
-
To count from 1 to 82,825,561,728 would take you about five thousand, two hundred sixty-seven 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 82825561728 cubic inches would be around 363.3 feet tall.
Recreational maths with 82825561728
- 82825561728 backwards is 82716552828
- The number of decimal digits it has is: 11
- The sum of 82825561728's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 82825561728 - Facts about the integer". Numbermatics.com. 2024. Web. 26 June 2024.
APA style:
Numbermatics. (2024). Number 82825561728 - Facts about the integer. Retrieved 26 June 2024, from https://numbermatics.com/n/82825561728/
Chicago style:
Numbermatics. 2024. "Number 82825561728 - Facts about the integer". https://numbermatics.com/n/82825561728/
The information we have on file for 82825561728 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!
Keywords: Divisors of 82825561728, math, Factors of 82825561728, curriculum, school, college, exams, university, Prime factorization of 82825561728, STEM, science, technology, engineering, physics, economics, calculator, eighty-two billion, eight hundred twenty-five million, five hundred sixty-one thousand, seven hundred twenty-eight.