131450190326353938006800
131,450,190,326,353,938,006,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 131450190326353938006800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
131450190326353938006800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 131450190326353938006800:
24 × 52 × 73 × 157 × 201923 × 30221893129
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 157 × 201923 × 30221893129)See below for interesting mathematical facts about the number 131450190326353938006800 from the Numbermatics database.
Names of 131450190326353938006800
- Cardinal: 131450190326353938006800 can be written as One hundred thirty-one sextillion, four hundred fifty quintillion, one hundred ninety quadrillion, three hundred twenty-six trillion, three hundred fifty-three billion, nine hundred thirty-eight million, six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.314501903263539380068 × 1023
Factors of 131450190326353938006800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 30222095223
Divisors of 131450190326353938006800
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 157 175 196 200 245 280 314 343 350 392 400 490 560 628 686 700 784 785 980 1099 1225 1256 1372 1400 1570 1715 1960 2198 2450 2512 2744 2800 3140 3430 3920 3925 4396 4900 5488 5495 6280 6860 7693 7850 8575 8792 9800 10990 12560 13720 15386 15700 17150 17584 19600 21980 27440 27475 30772 31400 34300 38465 43960 53851 54950 61544 62800 68600 76930 87920 107702 109900 123088 137200 153860 192325 201923 215404 219800 269255 307720 384650 403846 430808 439600 538510 615440 769300 807692 861616 1009615 1077020 1346275 1413461 1538600 1615384 2019230 2154040 2692550 2826922 3077200 3230768 4038460 4308080 5048075 5385100 5653844 7067305 8076920 9894227 10096150 10770200 11307688 14134610 16153840 19788454 20192300 21540400 22615376 28269220 31701911 35336525 39576908 40384600 49471135 56538440 63403822 69259589 70673050 79153816 80769200 98942270 113076880 126807644 138519178 141346100 158307632 158509555 197884540 221913377 247355675 253615288 277038356 282692200 317019110 346297945 395769080 443826754 494711350 507230576 554076712 565384400 634038220 692595890 791538160 792547775 887653508 989422700 1108153424 1109566885 1268076440 1385191780 1553393639 1585095550 1731489725 1775307016 1978845400 2219133770 2536152880 2770383560 3106787278 3170191100 3462979450 3550614032 3957690800 4438267540 5540767120 5547834425 6213574556 6340382200 6925958900 7766968195 8876535080 10873755473 11095668850 12427149112 12680764400 13851917800 15533936390 17753070160 21747510946 22191337700 24854298224 27703835600 30221893129 31067872780 38834840975 43495021892 44382675400 54368777365 60443786258 62135745560 77669681950 86990043784 88765350800 108737554730 120887572516 124271491120 151109465645 155339363900 173980087568 211553251903 217475109460 241775145032 271843886825 302218931290 310678727800 423106503806 434950218920 483550290064 543687773650 604437862580 621357455600 755547328225 846213007612 869900437840 1057766259515 1087375547300 1208875725160 1480872763321 1511094656450 1692426015224 2115532519030 2174751094600 2417751450320 2961745526642 3022189312900 3384852030448 4231065038060 4349502189200 4744837221253 5288831297575 5923491053284 6044378625800 7404363816605 8462130076120 9489674442506 10366109343247 10577662595150 11846982106568 12088757251600 14808727633210 16924260152240 18979348885012 20732218686494 21155325190300 23693964213136 23724186106265 29617455266420 33213860548771 37021819083025 37958697770024 41464437372988 42310650380600 47448372212530 51830546716235 59234910532840 66427721097542 74043638166050 75917395540048 82928874745976 84621300761200 94896744425060 103661093432470 118469821065680 118620930531325 132855442195084 148087276332100 165857749491952 166069302743855 189793488850120 207322186864940 232497023841397 237241861062650 259152733581175 265710884390168 296174552664200 332138605487710 379586977700240 414644373729880 464994047682794 474483722125300 518305467162350 531421768780336 592349105328400 664277210975420 829288747459760 830346513719275 929988095365588 948967444250600 1036610934324700 1162485119206985 1328554421950840 1627479166889779 1660693027438550 1859976190731176 1897934888501200 2073221868649400 2324970238413970 2657108843901680 3254958333779558 3321386054877100 3719952381462352 4146443737298800 4649940476827940 5812425596034925 6102495326287067 6509916667559116 6642772109754200 8137395834448895 9299880953655880 11624851192069850 12204990652574134 13019833335118232 13285544219508400 16274791668897790 18599761907311760 23249702384139700 24409981305148268 26039666670236464 30512476631435335 32549583337795580 40686979172244475 42717467284009469 46499404768279400 48819962610296536 61024953262870670 65099166675591160 81373958344488950 85434934568018938 92998809536558800 97639925220593072 122049906525741340 130198333351182320 152562383157176675 162747916688977900 170869869136037876 213587336420047345 244099813051482680 299022270988066283 305124766314353350 325495833377955800 341739738272075752 427174672840094690 488199626102965360 598044541976132566 610249532628706700 650991666755911600 683479476544151504 854349345680189380 958091766227069519 1067936682100236725 1196089083952265132 1220499065257413400 1495111354940331415 1708698691360378760 1916183532454139038 2093155896916463981 2135873364200473450 2392178167904530264 2440998130514826800 2990222709880662830 3417397382720757520 3832367064908278076 4186311793832927962 4271746728400946900 4784356335809060528 4790458831135347595 5980445419761325660 6706642363589486633 7475556774701657075 7664734129816556152 8372623587665855924 8543493456801893800 9580917662270695190 10465779484582319905 11960890839522651320 13413284727178973266 14951113549403314150 15329468259633112304 16745247175331711848 17086986913603787600 19161835324541390380 20931558969164639810 23921781679045302640 23952294155676737975 26826569454357946532 29902227098806628300 33490494350663423696 33533211817947433165 38323670649082780760 41863117938329279620 46946496545126406431 47904588311353475950 52328897422911599525 53653138908715893064 59804454197613256600 67066423635894866330 76647341298165561520 83726235876658559240 93892993090252812862 95809176622706951900 104657794845823199050 107306277817431786128 119608908395226513200 134132847271789732660 167452471753317118480 167666059089737165825 187785986180505625724 191618353245413903800 209315589691646398100 234732482725632032155 268265694543579465320 328625475815884845017 335332118179474331650 375571972361011251448 383236706490827807600 418631179383292796200 469464965451264064310 536531389087158930640 657250951631769690034 670664236358948663300 751143944722022502896 837262358766585592400 938929930902528128620 1173662413628160160775 1314501903263539380068 1341328472717897326600 1643127379079424225085 1877859861805056257240 2347324827256320321550 2629003806527078760136 2682656945435794653200 3286254758158848450170 3755719723610112514480 4694649654512640643100 5258007613054157520272 6572509516317696900340 8215636895397121125425 9389299309025281286200 13145019032635393800680 16431273790794242250850 18778598618050562572400 26290038065270787601360 32862547581588484501700 65725095163176969003400 131450190326353938006800
- Sum of all divisors σ(n): 370638109686097734624000
- Sum of proper divisors (its aliquot sum) s(n): 239187919359743796617200
- 131450190326353938006800 is an abundant number, because the sum of its proper divisors (239187919359743796617200) is greater than itself. Its abundance is 107737729033389858610400
Bases of 131450190326353938006800
- Binary: 110111101010111101101110110010100000011011100101001111000011011000011000100002
- Hexadecimal: 0x1BD5EDD940DCA786C310
- Base-36: LELKX58TCKP4J68
Squares and roots of 131450190326353938006800
- 131450190326353938006800 squared (1314501903263539380068002) is 17279152536834674422991055436546257556846240000
- 131450190326353938006800 cubed (1314501903263539380068003) is 2271347889645019427306498895576022966205893498593143835879674432000000
-
The
square root of 131450190326353938006800 is 362560602280.9896232573 -
The
cube root of 131450190326353938006800 is 50845642.5209168993
Scales and comparisons
How big is 131450190326353938006800?- 131,450,190,326,353,938,006,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 131,450,190,326,353,938,006,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 131450190326353938006800 cubic inches would be around 4237136.9 feet tall.
Recreational maths with 131450190326353938006800
- 131450190326353938006800 backwards is 008600839353623091054131
- 131450190326353938006800 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 131450190326353938006800's digits is 80
- More coming soon!
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The information we have on file for 131450190326353938006800 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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