82007673904728
82,007,673,904,728 is an even composite number composed of seven prime numbers multiplied together.
82007673904728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 82007673904728:
23 × 32 × 11 × 133 × 232 × 412 × 53
(2 × 2 × 2 × 3 × 3 × 11 × 13 × 13 × 13 × 23 × 23 × 41 × 41 × 53)See below for interesting mathematical facts about the number 82007673904728 from the Numbermatics database.
Names of 82007673904728
- Cardinal: 82007673904728 can be written as Eighty-two trillion, seven billion, six hundred seventy-three million, nine hundred four thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 8.2007673904728 × 1013
Factors of 82007673904728
Divisors of 82007673904728
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 18 22 23 24 26 33 36 39 41 44 46 52 53 66 69 72 78 82 88 92 99 104 106 117 123 132 138 143 156 159 164 169 184 198 207 212 234 246 253 264 276 286 299 312 318 328 338 369 396 414 424 429 451 468 477 492 506 507 529 533 552 572 583 598 636 676 689 738 759 792 828 858 897 902 936 943 954 984 1012 1014 1058 1066 1144 1166 1196 1219 1272 1287 1352 1353 1378 1476 1518 1521 1587 1599 1656 1681 1716 1749 1794 1804 1859 1886 1908 2024 2028 2067 2116 2132 2173 2197 2277 2332 2392 2438 2574 2691 2706 2756 2829 2952 3036 3042 3174 3198 3289 3362 3432 3498 3588 3608 3657 3718 3772 3816 3887 4056 4059 4134 4232 4264 4346 4394 4554 4664 4761 4797 4876 5043 5148 5247 5382 5412 5512 5577 5658 5819 5863 6072 6084 6201 6348 6396 6519 6578 6591 6724 6877 6929 6996 7176 7314 7436 7544 7579 7774 8118 8268 8487 8692 8788 8957 9108 9522 9594 9752 9867 10086 10296 10373 10494 10764 10824 10971 11154 11316 11638 11661 11726 12168 12259 12402 12696 12792 13038 13156 13182 13409 13448 13754 13858 13992 14628 14872 15129 15158 15548 15847 16236 16536 16731 16974 17384 17457 17576 17589 17914 18216 18491 19044 19188 19557 19734 19773 20172 20631 20746 20787 20988 21528 21689 21853 21942 22308 22632 22737 23276 23322 23452 23903 24167 24518 24804 26076 26312 26364 26818 26871 27508 27716 28037 28249 29256 29601 30258 30316 31096 31119 31694 32472 33462 33948 34914 34983 35178 35828 36777 36982 38088 38376 38663 39114 39468 39546 40227 40344 41262 41492 41574 41976 42757 43378 43706 43884 44616 45474 46552 46644 46904 47541 47806 48334 49036 49608 49979 50531 52152 52371 52728 52767 53636 53742 55016 55432 55473 56074 56498 59202 60516 60632 61893 62238 62361 63388 65067 65559 66924 67896 68211 69828 69966 70356 71656 71709 72501 73554 73964 75647 76219 77326 78228 78936 79092 80454 80613 82524 82984 83148 84111 84747 85514 86756 87412 87768 89093 89401 90077 90948 93288 93357 95082 95612 96668 98072 98527 99958 101062 104742 105534 107272 107484 110331 110946 112148 112996 115989 116441 118404 120681 121032 123786 124476 124722 126776 128271 130134 131118 133848 134849 136422 139656 139932 140712 142623 143418 145002 147108 147928 149937 151294 151593 152438 154652 156456 158184 159367 160908 161226 165048 166296 166419 168222 169494 171028 173512 174317 174824 178186 178802 180154 181896 186714 190164 191224 193336 195201 196677 197054 199916 202124 206011 209484 211068 214968 215127 217503 220662 221892 224296 225992 226941 228657 231978 232882 236808 238579 240383 241362 247572 248952 249444 252333 254241 256542 260268 262236 267279 268203 269698 270231 272844 279864 281957 284089 285246 286836 290004 294216 295581 299874 302588 303186 304876 308407 309304 310739 318734 321816 322452 332838 336444 338988 342056 347967 348634 349323 356372 357604 360308 364481 367237 373428 380328 384813 390402 393354 394108 399832 404248 404547 412022 418968 422136 425293 430254 435006 441324 443784 449811 453882 454779 457314 463956 465764 477158 478101 480766 482724 495144 498888 502619 504666 508482 513084 520536 522951 524472 534558 536406 539396 540462 545688 549769 555841 563914 568178 570492 573672 580008 591162 599748 605176 606372 609752 616814 618033 621478 637468 644904 649727 665676 672888 677976 680823 685971 695934 697268 698646 712744 715208 715737 720616 721149 728962 734474 746856 769626 780804 786708 788216 801837 804609 809094 810693 824044 845871 850586 852267 860508 870012 882648 886743 889249 899622 907764 909558 914628 925221 927912 931528 932217 954316 956202 961532 965448 980023 983411 990847 1005238 1009332 1016964 1026168 1045902 1047969 1069116 1072812 1078792 1080924 1093443 1099538 1101711 1111682 1127828 1136356 1140984 1149517 1158209 1162213 1182324 1199496 1212744 1213641 1233628 1236066 1242956 1274936 1275879 1280851 1299454 1331352 1361646 1371942 1391868 1394536 1397292 1431474 1434303 1442298 1457924 1468948 1507857 1539252 1561608 1568853 1573416 1603674 1609218 1618188 1621386 1648088 1649307 1667523 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630178692 639331368 646870653 657523724 658823178 662495548 677570179 679540888 692608982 704285208 707029752 725757318 731245086 739167468 743287688 762975642 764483499 777073492 782949284 811459044 820421316 832337064 836198649 848343546 857713194 862494204 878430904 879080631 901698486 910417464 917301528 920472696 934368721 938174094 945268038 958997052 967676424 974993448 986285586 988234767 993743322 1017300856 1019311332 1036864334 1038913473 1048316126 1060544628 1075947912 1084083624 1108751202 1114931532 1131124728 1143617592 1144463463 1165610238 1172107508 1174423926 1202264648 1207842493 1225385122 1250898792 1260357384 1293741306 1315047448 1317646356 1324991096 1352547729 1355140358 1385217964 1451514636 1462490172 1478334936 1479428379 1490614983 1525951284 1528966998 1554146984 1555296501 1565898568 1572474189 1622918088 1640842632 1653113891 1672397298 1696687092 1715426388 1724988408 1748415357 1758161262 1761635889 1803396972 1838077683 1868737442 1876348188 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6689589192 6739618171 6993661428 7032645048 7046543556 7247054958 7352310732 7474949768 7576466547 7618698802 7814720212 7905878136 7965003293 8130842148 8311307784 8409318489 8547808412 8612442124 9003916766 9155707704 9331779006 9434845134 9662739944 9918683346 10101955396 10548967572 10820381832 10870582437 11028466098 11212424652 11428048203 11722080318 11835427032 11924919864 12196263222 12442372008 12466961676 12579793512 12821712618 12918663186 13224911128 13479236342 13505875149 13987322856 14093087112 14494109916 14704621464 14878025019 15152933094 15237397604 15629440424 15930006586 16261684296 16818636978 17095616824 17224884248 17583120477 18007833532 18663558012 18869690268 19232568927 19377994779 19837366692 20203910792 20218854513 21097935144 21490480583 21741164874 22056932196 22424849304 22729399641 22856096406 23444160636 23895009879 24392526444 24933923352 25643425236 25837326372 26958472684 27011750298 27780377339 28988219832 29756050038 30305866188 30474795208 31860013172 33637273956 34284144609 35166240954 36015667064 37327116024 37739380536 38465137854 38755989558 39674733384 40437709026 40517625447 42980961166 43482329748 44113864392 45458799282 45712192812 46888321272 47790019758 48785052888 49521542213 51286850472 51674652744 53916945368 54023500596 55560754678 59512100076 60611732376 60656563539 63720026344 64471441749 67274547912 68568289218 70332481908 71685029637 76930275708 77511979116 80875418052 81035250894 83341132017 85961922332 86964659496 87615036223 90917598564 91424385624 95580039516 99043084426 103545042809 108047001192 111121509356 119024200152 121313127078 128942883498 137136578436 140664963816 143370059274 148564626639 153860551416 155023958232 161750836104 162070501788 166682264034 171923844664 175230072446 181835197128 191160079032 193414325247 198086168852 207090085618 222243018712 242626254156 250023396051 257885766996 262845108669 274273156872 286740118548 297129253278 310635128427 324141003576 333364528068 350460144892 386828650494 396172337704 414180171236 445693879917 485252508312 500046792102 515771533992 525690217338 573480237096 594258506556 621270256854 666729056136 700920289784 773657300988 788535326007 828360342472 891387759834 931905385281 1000093584204 1051380434676 1138995470899 1188517013112 1242540513708 1547314601976 1577070652014 1782775519668 1863810770562 2000187168408 2102760869352 2277990941798 2485081027416 3154141304028 3416986412697 3565551039336 3727621541124 4555981883596 6308282608056 6833972825394 7455243082248 9111963767192 10250959238091 13667945650788 20501918476182 27335891301576 41003836952364 82007673904728
- Sum of all divisors σ(n): 286547737039200
- Sum of proper divisors (its aliquot sum) s(n): 204540063134472
- 82007673904728 is an abundant number, because the sum of its proper divisors (204540063134472) is greater than itself. Its abundance is 122532389229744
Bases of 82007673904728
- Binary: 100101010010101111001100100010110011110010110002
- Hexadecimal: 0x4A95E6459E58
- Base-36: T2HSZO120
Squares and roots of 82007673904728
- 82007673904728 squared (820076739047282) is 6725258579264205774420753984
- 82007673904728 cubed (820076739047283) is 551522812493273311653955319013459142436352
-
The
square root of 82007673904728 is 9055808.8487295269 -
The
cube root of 82007673904728 is 43446.1700648837
Scales and comparisons
How big is 82007673904728?- 82,007,673,904,728 seconds is equal to 2,607,590 years, 18 weeks, 6 days, 9 hours, 58 minutes, 48 seconds.
-
To count from 1 to 82,007,673,904,728 would take you about six million, five hundred eighteen thousand, nine hundred seventy-five 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 82007673904728 cubic inches would be around 3620.5 feet tall.
Recreational maths with 82007673904728
- 82007673904728 backwards is 82740937670028
- The number of decimal digits it has is: 14
- The sum of 82007673904728's digits is 63
- More coming soon!
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"Number 82007673904728 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 82007673904728 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/82007673904728/
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The information we have on file for 82007673904728 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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