82003668344325
82,003,668,344,325 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 82003668344325 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1080 divisors.
82003668344325 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 82003668344325:
32 × 52 × 74 × 13 × 17 × 73 × 972
(3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 17 × 73 × 97 × 97)See below for interesting mathematical facts about the number 82003668344325 from the Numbermatics database.
Names of 82003668344325
- Cardinal: 82003668344325 can be written as Eighty-two trillion, three billion, six hundred sixty-eight million, three hundred forty-four thousand, three hundred twenty-five.
Scientific notation
- Scientific notation: 8.2003668344325 × 1013
Factors of 82003668344325
Divisors of 82003668344325
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 3 5 7 9 13 15 17 21 25 35 39 45 49 51 63 65 73 75 85 91 97 105 117 119 147 153 175 195 219 221 225 245 255 273 291 315 325 343 357 365 425 441 455 485 511 525 585 595 637 657 663 679 735 765 819 833 873 949 975 1029 1071 1095 1105 1225 1241 1261 1275 1365 1455 1533 1547 1575 1649 1715 1785 1825 1911 1989 2037 2205 2275 2401 2425 2499 2555 2847 2925 2975 3087 3185 3285 3315 3395 3577 3675 3723 3783 3825 4095 4165 4365 4459 4599 4641 4745 4753 4947 5145 5355 5475 5525 5733 5831 6111 6205 6305 6643 6825 7081 7203 7275 7497 7665 7735 8245 8541 8575 8687 8827 8925 9409 9555 9945 10185 10731 10829 11025 11169 11349 11543 12005 12495 12775 13377 13923 14235 14259 14841 15435 15925 16133 16425 16575 16975 17493 17885 18615 18915 19929 20475 20825 21243 21437 21609 21825 22295 22995 23205 23725 23765 24735 25039 25725 26061 26481 26775 28227 28665 29155 30555 31025 31213 31525 32193 32487 33215 33271 34629 35405 36015 37485 38325 38675 40131 40817 41225 42705 42777 43435 44135 46501 47045 47775 48399 49567 49725 50925 52479 53655 54145 55845 56745 57715 59787 60025 60809 61789 62475 63729 64311 65863 66885 69615 71175 71295 74205 75117 75803 77175 78183 79443 80665 80801 84681 87465 89425 92053 93075 93639 94575 97461 99645 99813 103887 106215 107185 108045 111475 112931 114975 116025 118825 120377 122317 122451 123675 125195 130305 132405 139503 141135 143325 145197 145775 148701 150059 152775 156065 159953 160965 162435 166075 166355 173145 175273 177025 180075 182427 185367 187425 192933 197589 200655 204085 213525 213885 217175 220675 225351 227409 232505 232897 235225 241995 242403 247835 262395 268275 270725 276159 279225 280917 283725 288575 298935 299439 304045 308945 318645 321555 325507 329315 334425 338793 346969 348075 356475 361131 366951 367353 371025 375585 379015 390915 397215 403325 404005 418509 423405 425663 432523 437325 446103 450177 460265 461041 468195 479859 487305 498225 499065 519435 525819 530621 531075 535925 540225 547281 556101 564655 565607 592767 601885 611585 612255 625975 644371 651525 662025 682227 686857 697515 698691 705675 725985 727209 743505 750295 780325 790517 799765 804825 812175 828477 831775 842639 856219 865725 876365 912135 926835 964665 976521 987945 1003275 1016379 1020425 1040907 1050413 1069425 1083393 1100853 1119671 1126755 1137045 1162525 1164485 1209975 1212015 1239175 1276989 1297569 1311975 1350531 1380795 1383123 1404585 1439577 1494675 1497195 1520225 1544725 1564901 1577457 1591863 1593225 1607775 1627535 1646575 1693965 1696821 1734845 1805655 1834755 1836765 1877925 1895075 1933113 1954575 1986075 2020025 2060571 2079389 2092545 2096073 2117025 2128315 2162615 2230515 2250885 2278549 2301325 2305205 2340975 2371551 2399295 2428783 2436525 2495325 2527917 2568657 2597175 2629095 2653105 2736405 2780505 2823275 2828035 2929563 2963835 2979641 3009425 3027661 3057925 3061275 3122721 3151239 3221855 3227287 3359013 3411135 3434285 3487575 3493455 3629925 3636045 3717525 3751475 3830967 3892707 3952585 3959249 3998825 4142385 4149369 4213195 4281095 4381825 4510597 4560675 4634175 4694703 4775589 4807999 4823325 4882605 4939725 5081895 5090463 5204535 5252065 5416965 5504265 5533619 5598355 5633775 5685225 5799339 5822425 5898473 5993533 6060075 6181713 6238167 6384945 6487845 6752655 6835647 6903975 6915615 7022925 7114653 7197885 7286349 7352891 7485975 7583751 7705971 7824505 7837697 7887285 7959315 8137675 8469825 8484105 8674225 8929141 8938923 9028275 9082983 9173775 9183825 9453717 9665565 9681861 10077039 10302855 10396945 10462725 10480365 10641575 10813075 10954307 11152575 11254425 11392745 11526025 11676569 11857755 11877747 11996475 12143915 12639585 12843285 13145475 13265525 13531791 13682025 13902525 14084109 14140175 14423997 14555723 14647815 14819175 14898205 15138305 15613605 15756195 16109275 16136435 16600857 16795065 17001481 17055675 17171425 17467275 17695419 17980599 18180225 18714501 19154835 19463535 19762925 19796245 20506941 20711925 20746845 21065975 21405475 21859047 22058673 22552985 22591009 23473515 23513091 23877945 24039995 24413025 25409475 25452315 26022675 26260325 26787423 26816769 27084825 27248949 27521325 27668095 27991775 28996695 29045583 29492365 29967665 30908565 31190835 31574179 31924725 32439225 32862921 33655993 33763275 34178235 34578075 35029707 35573265 35633241 35989425 36431745 36764455 37918755 38529855 38735333 39122525 39188485 39436425 39796575 40595373 41289311 41954731 42420525 43271991 43667169 44645705 44694615 45414915 47268585 48327825 48409305 49802571 50385195 51004443 51470237 51514275 51984725 52401825 53086257 53941797 54771535 54863879 56963725 58382845 59288775 59388735 60719575 62503987 63197925 64216425 66176019 67658955 67773027 70420545 70539273 72119985 72778615 73239075 74491025 75691525 76680149 78068025 78780975 80362269 80682175 81735983 83004285 83975325 85007405 88477095 89902995 93572505 94722537 95774175 97317675 98588763 98981225 100967979 101890061 102534705 103734225 105089121 109295235 110293365 112764925 112955045 116205999 117367575 117565455 119389725 120199975 123867933 125864193 127261575 131001507 133937115 134083845 136244745 138340475 144983475 145227915 147461825 149838325 151795397 153013329 154410711 154542825 155954175 157870895 164314605 164591637 168279965 170891175 175148535 177866325 178166205 182158725 183822275 187511961 189593775 192649275 193676665 195942425 202976865 203319081 206446555 209773655 216359955 218335845 221019253 223228525 223473075 227074575 230040447 235591951 236342925 242046525 245207949 249012855 251925975 255022215 257351185 265431285 269708985 273857675 274319395 284167611 289025177 291914225 293683117 296943675 302903937 305670183 312519935 330880095 338294775 338865135 348617997 352102725 352696365 360599925 363893075 371603799 377592579 383400745 384047153 401811345 408679915 415021425 425037025 437527909 442385475 449514975 455386191 463232133 467862525 473612685 492943815 493774911 504839895 509450305 512673525 525445605 536761043 546476175 551466825 562535883 564775225 572151881 581029995 587827275 619339665 629320965 655007535 663057759 669685575 670419225 681223725 690121341 706775853 713230427 726139575 735623847 758976985 765066645 772053555 789354475 821573025 822958185 841399825 867075531 875742675 881049351 890831025 917010549 937559805 968383325 1014884325 1016595405 1032232775 1048868275 1062567779 1081799775 1091679225 1105096265 1150202235 1152141459 1177959755 1226039745 1245064275 1275111075 1286755925 1312583727 1327156425 1348544925 1366158573 1371596975 1420838055 1445125885 1468415585 1514519685 1528350915 1562599675 1610283129 1649143657 1654400475 1694325675 1716455643 1743089985 1763481825 1858018995 1887962895 1917003725 1920235765 1989173277 2009056725 2043399575 2120327559 2139691281 2187639545 2276930955 2316160665 2368063425 2464719075 2468874555 2524199475 2547251525 2601226593 2627228025 2643148053 2683805215 2812679415 2860759405 2905149975 3062695363 3096698325 3146604825 3187703337 3275037675 3315288795 3450606705 3456424377 3533879265 3566152135 3678119235 3757327301 3794884925 3825333225 3860267775 3937751181 4005063167 4114790925 4335377655 4405246755 4585052745 4687799025 4830849387 4947430971 4992612989 5082977025 5149366929 5312838895 5525481325 5751011175 5760707295 5889798775 6130198725 6419073843 6562918635 6830792865 7104190275 7225629425 7342077925 7437974453 7572598425 7641754575 8051415645 8245718285 8582278215 8715449925 9188086089 9290094975 9439814475 9563110011 9601178825 9945866385 10601637795 10698456405 10938197725 11271981903 11384654775 11580803325 12015189501 12344372775 13006132965 13215740265 13419026075 14063397075 14303797025 14842292913 14977838967 15313476815 15938516685 16576443975 17253033525 17282121885 17669396325 17830760675 18390596175 18786636505 19688755905 20025315835 21438867541 21676888275 22026233775 22313923359 22925263725 24154246935 24737154855 24963064945 25746834645 26564194475 27564258267 28035442169 28803536475 32095369215 32814593175 33815945709 34153964325 36045568503 37189872265 40257078225 41228591425 42911391075 44933516901 45940430445 47815550055 49729331925 52065821171 53008188975 53492282025 56359909515 60075947505 64316602623 65030664825 66078701325 66941770077 74211464565 74889194835 76567384075 79692583425 84106326507 86410609425 93933182525 98443779525 100126579175 107194337705 111569616795 120771234675 123685774275 124815324725 128734173225 137821291335 140177210845 156197463513 160476846075 169079728545 180227842515 185949361325 192949807869 224667584505 229702152225 239077750275 252318979521 260329105855 281799547575 300379737525 321583013115 334708850385 364460748197 371057322825 374445974175 420531632535 468592390539 535971688525 557848083975 689106456675 700886054225 780987317565 845398642725 901139212575 964749039345 1093382244591 1123337922525 1261594897605 1301645529275 1607915065575 1673544251925 1822303740985 2102658162675 2342961952695 3280146733773 3904936587825 4823745196725 5466911222955 6307974488025 9111518704925 11714809763475 16400733668865 27334556114775 82003668344325
- Sum of all divisors σ(n): 200121573696408
- Sum of proper divisors (its aliquot sum) s(n): 118117905352083
- 82003668344325 is an abundant number, because the sum of its proper divisors (118117905352083) is greater than itself. Its abundance is 36114237007758
Bases of 82003668344325
- Binary: 100101010010100111101111000010110011110000001012
- Hexadecimal: 0x4A94F7859E05
- Base-36: T2FYQUYV9
Squares and roots of 82003668344325
- 82003668344325 squared (820036683443252) is 6724601621926050086759705625
- 82003668344325 cubed (820036683443253) is 551442001152133785335701291973768139328125
-
The
square root of 82003668344325 is 9055587.6863031367 -
The
cube root of 82003668344325 is 43445.4626957493
Scales and comparisons
How big is 82003668344325?- 82,003,668,344,325 seconds is equal to 2,607,462 years, 51 weeks, 6 days, 18 hours, 18 minutes, 45 seconds.
-
To count from 1 to 82,003,668,344,325 would take you about six million, five hundred eighteen thousand, six hundred fifty-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 82003668344325 cubic inches would be around 3620.5 feet tall.
Recreational maths with 82003668344325
- 82003668344325 backwards is 52344386630028
- The number of decimal digits it has is: 14
- The sum of 82003668344325's digits is 54
- More coming soon!
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The information we have on file for 82003668344325 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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