468240368909742
468,240,368,909,742 is an even composite number composed of six prime numbers multiplied together.
468240368909742 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 468240368909742:
2 × 36 × 11 × 13 × 195 × 907
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 19 × 19 × 19 × 19 × 19 × 907)See below for interesting mathematical facts about the number 468240368909742 from the Numbermatics database.
Names of 468240368909742
- Cardinal: 468240368909742 can be written as Four hundred sixty-eight trillion, two hundred forty billion, three hundred sixty-eight million, nine hundred nine thousand, seven hundred forty-two.
Scientific notation
- Scientific notation: 4.68240368909742 × 1014
Factors of 468240368909742
Divisors of 468240368909742
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 6 9 11 13 18 19 22 26 27 33 38 39 54 57 66 78 81 99 114 117 143 162 171 198 209 234 243 247 286 297 342 351 361 418 429 486 494 513 594 627 702 722 729 741 858 891 907 1026 1053 1083 1254 1287 1458 1482 1539 1782 1814 1881 2106 2166 2223 2574 2673 2717 2721 3078 3159 3249 3762 3861 3971 4446 4617 4693 5346 5434 5442 5643 6318 6498 6669 6859 7722 7942 8019 8151 8163 9234 9386 9477 9747 9977 11286 11583 11791 11913 13338 13718 13851 14079 16038 16302 16326 16929 17233 18954 19494 19954 20007 20577 23166 23582 23826 24453 24489 27702 28158 29241 29931 33858 34466 34749 35373 35739 40014 41154 42237 48906 48978 50787 51623 51699 58482 59862 60021 61731 69498 70746 71478 73359 73467 75449 84474 87723 89167 89793 101574 103246 103398 104247 106119 107217 120042 123462 126711 129701 130321 146718 146934 150898 152361 154869 155097 175446 178334 179586 180063 185193 189563 208494 212238 214434 220077 220401 224029 226347 253422 259402 260642 263169 267501 269379 304722 309738 310194 318357 321651 327427 360126 370386 379126 380133 389103 390963 440154 440802 448058 452694 464607 465291 526338 535002 538758 555579 568689 636714 643302 654854 660231 661203 672087 679041 760266 778206 781926 802503 808137 929214 930582 955071 964953 980837 982281 1111158 1137378 1140399 1167309 1172889 1320462 1322406 1344174 1358082 1393821 1395873 1433531 1605006 1616274 1666737 1694173 1706067 1910142 1929906 1961674 1964562 1980693 2016261 2037123 2280798 2334618 2345778 2407509 2424411 2464319 2476099 2787642 2791746 2865213 2867062 2894859 2942511 2946843 3333474 3388346 3412134 3421197 3501927 3518667 3601697 3961386 4032522 4074246 4181463 4187619 4256551 4300593 4815018 4848822 4928638 4952198 5000211 5082519 5118201 5730426 5789718 5885022 5893686 6048783 6111369 6221113 6842394 7003854 7037334 7203394 7222527 7273233 7392957 7428297 8362926 8375238 8513102 8595639 8601186 8827533 8840529 10000422 10165038 10236402 10505781 10556001 10805091 12097566 12222738 12442226 12544389 12562857 12769653 12901779 14445054 14546466 14785914 14856594 15247557 15354603 17191278 17655066 17681058 18146349 18334107 18635903 18663339 21011562 21112002 21610182 21667581 22178871 22284891 25088778 25125714 25539306 25803558 26482599 26521587 27237089 30495114 30709206 31517343 31668003 32189287 32415273 36292698 36668214 37271806 37326678 37633167 38308959 38705337 43335162 44357742 44569782 45742671 46063809 46822061 52965198 53043174 54439047 54474178 55002321 55907709 55990017 63034686 63336006 64378574 64830546 65002743 66536613 66854673 68432243 75266334 76617918 77410674 79447797 79564761 80874469 81711267 91485342 92127618 93644122 94552029 95004009 96567861 97245819 108878094 110004642 111815418 111980034 114926877 116116011 118201147 130005486 133073226 133709346 136864486 137228013 138191427 140466183 158895594 159129522 161748938 163317141 163422534 167723127 167970051 189104058 190008018 193135722 194491638 199609839 200564019 205296729 229853754 232232022 236402294 238343391 238694283 242623407 245133801 274456026 276382854 280932366 289703583 291737457 326634282 335446254 335940102 344780631 348348033 354082157 354603441 399219678 401128038 410593458 411684039 421398549 476686782 477388566 485246814 490267602 503169381 503910153 579407166 583474914 598829517 601692057 615890187 689561262 696696066 708164314 709206882 715030173 727870221 735401403 823368078 842797098 869110749 875212371 889619159 1006338762 1007820306 1034341893 1045044099 1062246471 1063810323 1197659034 1203384114 1231780374 1235052117 1264195647 1300212617 1430060346 1455740442 1470802806 1509508143 1511730459 1536614911 1738221498 1750424742 1779238318 1796488551 1805076171 1847670561 2068683786 2090088198 2124492942 2127620646 2183610663 2206204209 2245821793 2470104234 2528391294 2600425234 2607332247 2625637113 2668857477 3019016286 3023460918 3073229822 3103025679 3186739413 3191430969 3592977102 3610152342 3695341122 3792586941 3900637851 4367221326 4412408418 4491643586 4528524429 4535191377 4609844733 5214664494 5251274226 5337714954 5543011683 6206051358 6373478826 6382861938 6550831989 6618612627 6737465379 7585173882 7801275702 7821996741 8006572431 9057048858 9070382754 9219689466 9560218239 9574292907 11086023366 11377760823 11701913553 13101663978 13237225254 13474930758 13585573287 13829534199 15643993482 16013144862 16629035049 16902764021 19120436478 19148585814 19652495967 19855837881 20212396137 22755521646 23403827106 23465990223 24019717293 24704039723 27171146574 27659068398 28680654717 28722878721 29195683309 33258070098 33805528042 34133282469 35105740659 39304991934 39711675762 40424792274 41488602597 46931980446 48039434586 49408079446 49887105147 50708292063 57361309434 57445757442 58391366618 58957487901 60637188411 68266564938 70211481318 72059151879 74112119169 82977205194 86041964151 86168636163 87587049927 99774210294 101416584126 105317221977 117914975802 121274376822 124465807791 144118303758 148224238338 152124876189 172083928302 172337272326 175174099854 181911565233 210634443954 216177455637 222336357507 248931615582 258125892453 262761149781 304249752378 315951665931 321152516399 363823130466 373397423373 432354911274 444672715014 456374628567 516251784906 525522299562 545734695699 631903331862 642305032798 648532366911 667009072521 746794846746 788283449343 912749257134 947854997793 963457549197 1091469391398 1120192270119 1297064733822 1334018145042 1369123885701 1576566898686 1637204087097 1895709995586 1926915098394 2001027217563 2240384540238 2364850348029 2738247771402 2890372647591 3274408174194 4002054435126 4107371657103 4729700696058 5780745295182 6003081652689 7094551044087 8214743314206 8671117942773 12006163305378 12322114971309 14189102088174 17342235885546 18009244958067 21283653132261 24644229942618 26013353828319 36018489916134 42567306264522 52026707656638 78040061484957 156080122969914 234120184454871 468240368909742
- Sum of all divisors σ(n): 1307331237260160
- Sum of proper divisors (its aliquot sum) s(n): 839090868350418
- 468240368909742 is an abundant number, because the sum of its proper divisors (839090868350418) is greater than itself. Its abundance is 370850499440676
Bases of 468240368909742
- Binary: 11010100111011100101101001101101110111101101011102
- Hexadecimal: 0x1A9DCB4DBBDAE
- Base-36: 4LZ6NM1GVI
Squares and roots of 468240368909742
- 468240368909742 squared (4682403689097422) is 219249043076731282557742506564
- 468240368909742 cubed (4682403689097423) is 102661252813356570928661002979415558958546488
-
The
square root of 468240368909742 is 21638862.4680167049 -
The
cube root of 468240368909742 is 77652.6505773947
Scales and comparisons
How big is 468240368909742?- 468,240,368,909,742 seconds is equal to 14,888,595 years, 19 weeks, 1 day, 5 hours, 35 minutes, 42 seconds.
-
To count from 1 to 468,240,368,909,742 would take you about thirty-seven million, two hundred twenty-one thousand, four hundred eighty-eight 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 468240368909742 cubic inches would be around 6471.1 feet tall.
Recreational maths with 468240368909742
- 468240368909742 backwards is 247909863042864
- The number of decimal digits it has is: 15
- The sum of 468240368909742's digits is 72
- More coming soon!
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