131451938701824
131,451,938,701,824 is an even composite number composed of six prime numbers multiplied together.
131451938701824 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 131451938701824:
29 × 3 × 132 × 23 × 613 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 23 × 61 × 61 × 61 × 97)See below for interesting mathematical facts about the number 131451938701824 from the Numbermatics database.
Names of 131451938701824
- Cardinal: 131451938701824 can be written as One hundred thirty-one trillion, four hundred fifty-one billion, nine hundred thirty-eight million, seven hundred one thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.31451938701824 × 1014
Factors of 131451938701824
Divisors of 131451938701824
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 61 64 69 78 92 96 97 104 122 128 138 156 169 183 184 192 194 208 244 256 276 291 299 312 338 366 368 384 388 416 488 507 512 552 582 598 624 676 732 736 768 776 793 832 897 976 1014 1104 1164 1196 1248 1261 1352 1403 1464 1472 1536 1552 1586 1664 1794 1952 2028 2208 2231 2328 2379 2392 2496 2522 2704 2806 2928 2944 3104 3172 3328 3588 3721 3783 3887 3904 4056 4209 4416 4462 4656 4758 4784 4992 5044 5408 5612 5856 5888 5917 6208 6344 6656 6693 7176 7442 7566 7774 7808 8112 8418 8832 8924 9312 9516 9568 9984 10088 10309 10816 11163 11224 11661 11712 11776 11834 12416 12688 13386 14352 14884 15132 15548 15616 16224 16393 16836 17664 17751 17848 18239 18624 19032 19136 19968 20176 20618 21632 22326 22448 23322 23424 23668 24832 25376 26772 28704 29003 29768 30264 30927 31096 31232 32448 32786 33672 35328 35502 35696 36478 37248 38064 38272 40352 41236 43264 44652 44896 46644 46848 47336 48373 49179 49664 50752 53544 54717 57408 58006 59536 60528 61854 62192 64896 65572 67344 71004 71392 72956 74496 76128 76544 76921 80704 82472 85583 86528 87009 89304 89792 93288 93696 94672 96746 98358 101504 107088 109434 114816 116012 119072 121056 123708 124384 129792 131144 134688 136091 142008 142784 145119 145912 148992 152256 153088 153842 161408 164944 171166 174018 178608 179584 186576 189344 193492 196716 203008 214176 218868 226981 229632 230763 232024 237107 238144 242112 247416 248768 256749 259584 262288 269376 272182 284016 285568 290238 291824 304512 307684 322816 329888 342332 348036 357216 359168 360937 373152 377039 378688 386984 393432 406016 408273 428352 437736 453962 459264 461526 464048 474214 476288 484224 494832 497536 513498 524576 538752 544364 568032 571136 580476 583648 609024 615368 628849 645632 659776 680943 684664 696072 711321 714432 718336 721874 746304 754078 757376 773968 786864 816546 856704 875472 907924 923052 928096 948428 952576 968448 989664 995072 999973 1026996 1049152 1077504 1082811 1088728 1112579 1131117 1136064 1142272 1160952 1167296 1218048 1230736 1257698 1319552 1361886 1369328 1392144 1422642 1428864 1443748 1492608 1508156 1514752 1547936 1573728 1633092 1713408 1750944 1769183 1815848 1846104 1856192 1886547 1896856 1905152 1936896 1979328 1990144 1999946 2053992 2098304 2155008 2165622 2177456 2225158 2262234 2272128 2321904 2334592 2461472 2515396 2639104 2723772 2738656 2784288 2845284 2857728 2887496 2950753 2985216 2999919 3016312 3029504 3095872 3147456 3266184 3337737 3426816 3501888 3538366 3631696 3692208 3712384 3773094 3793712 3958656 3999892 4107984 4196608 4331244 4354912 4450316 4524468 4544256 4643808 4669184 4692181 4922944 5030792 5220563 5278208 5307549 5447544 5477312 5568576 5690568 5715456 5774992 5901506 5970432 5999838 6032624 6191744 6294912 6532368 6675474 7003776 7076732 7263392 7384416 7424768 7546188 7587424 7917312 7999784 8215968 8301551 8393216 8662488 8709824 8852259 8900632 9048936 9088512 9287616 9338368 9384362 9845888 10061584 10441126 10615098 10895088 10954624 11137152 11381136 11549984 11803012 11999676 12065248 12383488 12589824 13064736 13350948 14007552 14076543 14153464 14463527 14526784 14768832 14849536 15092376 15174848 15661689 15834624 15999568 16431936 16603102 17324976 17419648 17704518 17801264 18097872 18575232 18768724 19691776 20123168 20882252 21230196 21790176 21909248 22017157 22274304 22762272 22999379 23099968 23606024 23999352 24130496 24766976 24904653 25179648 26129472 26701896 28015104 28153086 28306928 28927054 29053568 29537664 30184752 30349696 31323378 31999136 32863872 33206204 34649952 34839296 35409036 35602528 36195744 37150464 37537448 38359789 39383552 40246336 41764504 42460392 43390581 43580352 43818496 44034314 44548608 45524544 45998758 46199936 47212048 47998704 48260992 49809306 52258944 53403792 56306172 56613856 57854108 58107136 59075328 60369504 60699392 60998353 62646756 63998272 65727744 66051471 66412408 67867319 68998137 69299904 69678592 70818072 71205056 72391488 74300928 75074896 76719578 80492672 83529008 84920784 86781162 87160704 88068628 91049088 91997516 92399872 94424096 95997408 96521984 99618612 104517888 106807584 107920163 112612344 113227712 115079367 115708216 116214272 118150656 120739008 121398784 121996706 125293512 127996544 131455488 132102942 132824816 135734638 137996274 138599808 141636144 142410112 144782976 150149792 153439156 160985344 167058016 169841568 173562324 174321408 176137256 182098176 182995059 183995032 184799744 188848192 191994816 193043968 199237224 203601957 209035776 213615168 215840326 225224688 226455424 230158734 231416432 241478016 243993412 250587024 255993088 264205884 265649632 271469276 275992548 277199616 283272288 284820224 286223041 289565952 300299584 306878312 321970688 323760489 334116032 339683136 347124648 348642816 352274512 364196352 365990118 367990064 377696384 383989632 398474448 407203914 427230336 431680652 450449376 452910848 460317468 462832864 482956032 487986824 501174048 506394611 511986176 528411768 531299264 542938552 551985096 554399232 566544576 569640448 572446082 579131904 600599168 613756624 647520978 668232064 679366272 694249296 704549024 731980236 735980128 755392768 767979264 796948896 814407828 854460672 858669123 863361304 882275147 900898752 905821696 920634936 925665728 965912064 975973648 1002348096 1012789222 1056823536 1062598528 1085877104 1103970192 1133089152 1144892164 1201198336 1227513248 1295041956 1336464128 1358732544 1388498592 1402962119 1409098048 1463960472 1471960256 1510785536 1519183833 1535958528 1593897792 1628815656 1708921344 1717338246 1726722608 1764550294 1801797504 1841269872 1851331456 1951947296 2004696192 2025578444 2113647072 2125197056 2171754208 2207940384 2266178304 2289784328 2402396672 2455026496 2590083912 2646825441 2672928256 2717465088 2776997184 2805924238 2818196096 2927920944 2943920512 3038367666 3187795584 3257631312 3434676492 3453445216 3529100588 3603595008 3682539744 3702662912 3720899533 3903894592 4009392384 4051156888 4208886357 4227294144 4250394112 4343508416 4415880768 4532356608 4579568656 4910052992 5180167824 5293650882 5553994368 5611848476 5636392192 5855841888 5887841024 6076735332 6375591168 6515262624 6583129943 6869352984 6906890432 7058201176 7207190016 7365079488 7405325824 7441799066 7807789184 8018784768 8102313776 8417772714 8454588288 8687016832 8831761536 9159137312 9820105984 10360335648 10587301764 11107988736 11162698599 11223696952 11272784384 11711683776 11775682048 12153470664 12751182336 13030525248 13166259886 13738705968 13813780864 14116402352 14730158976 14883598132 15615578368 16204627552 16835545428 16909176576 17374033664 17663523072 18318274624 19640211968 19749389829 20720671296 21174603528 22215977472 22325397198 22447393904 23423367552 24306941328 26061050496 26332519772 27477411936 27627561728 28232804704 29460317952 29767196264 31231156736 32409255104 33671090856 33818353152 34748067328 35327046144 36636549248 39498779658 41441342592 42349207056 44650794396 44894787808 46846735104 48613882656 52122100992 52665039544 54954823872 55255123456 56465609408 58920635904 59534392528 64818510208 67342181712 73273098496 78997559316 82882685184 84698414112 85580689259 89301588792 89789575616 93693470208 97227765312 104244201984 105330079088 109909647744 112931218816 119068785056 129637020416 134684363424 146546196992 157995118632 165765370368 169396828224 171161378518 178603177584 179579151232 194455530624 210660158176 219819295488 225862437632 238137570112 256742067777 259274040832 269368726848 315990237264 338793656448 342322757036 357206355168 359158302464 388911061248 421320316352 439638590976 451724875264 476275140224 513484135554 538737453696 631980474528 677587312896 684645514072 714412710336 718316604928 777822122496 842640632704 952550280448 1026968271108 1077474907392 1263960949056 1355174625792 1369291028144 1428825420672 1685281265408 1905100560896 2053936542216 2154949814784 2527921898112 2738582056288 2857650841344 3370562530816 4107873084432 5055843796224 5477164112576 5715301682688 8215746168864 10111687592448 10954328225152 16431492337728 21908656450304 32862984675456 43817312900608 65725969350912 131451938701824
- Sum of all divisors σ(n): 406435926935808
- Sum of proper divisors (its aliquot sum) s(n): 274983988233984
- 131451938701824 is an abundant number, because the sum of its proper divisors (274983988233984) is greater than itself. Its abundance is 143532049532160
Bases of 131451938701824
- Binary: 111011110001110000010100001110010000010000000002
- Hexadecimal: 0x778E0A1C8200
- Base-36: 1ALG6QBBPC
Squares and roots of 131451938701824
- 131451938701824 squared (1314519387018242) is 17279612188468094362380926976
- 131451938701824 cubed (1314519387018243) is 2271438522189798799661279003015311182004224
-
The
square root of 131451938701824 is 11465249.1774851539 -
The
cube root of 131451938701824 is 50845.8679469375
Scales and comparisons
How big is 131451938701824?- 131,451,938,701,824 seconds is equal to 4,179,765 years, 2 weeks, 1 day, 17 hours, 10 minutes, 24 seconds.
-
To count from 1 to 131,451,938,701,824 would take you about ten million, four hundred forty-nine thousand, four hundred twelve 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 131451938701824 cubic inches would be around 4237.2 feet tall.
Recreational maths with 131451938701824
- 131451938701824 backwards is 428107839154131
- The number of decimal digits it has is: 15
- The sum of 131451938701824's digits is 57
- 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 131451938701824 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
APA style:
Numbermatics. (2024). Number 131451938701824 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/131451938701824/
Chicago style:
Numbermatics. 2024. "Number 131451938701824 - Facts about the integer". https://numbermatics.com/n/131451938701824/
The information we have on file for 131451938701824 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 131451938701824, math, Factors of 131451938701824, curriculum, school, college, exams, university, Prime factorization of 131451938701824, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, four hundred fifty-one billion, nine hundred thirty-eight million, seven hundred one thousand, eight hundred twenty-four.