13742121795339744
13,742,121,795,339,744 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13742121795339744 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
13742121795339744 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 13742121795339744:
25 × 38 × 19 × 61 × 67 × 127 × 6637
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 61 × 67 × 127 × 6637)See below for interesting mathematical facts about the number 13742121795339744 from the Numbermatics database.
Names of 13742121795339744
- Cardinal: 13742121795339744 can be written as Thirteen quadrillion, seven hundred forty-two trillion, one hundred twenty-one billion, seven hundred ninety-five million, three hundred thirty-nine thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.3742121795339744 × 1016
Factors of 13742121795339744
Divisors of 13742121795339744
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 61 67 72 76 81 96 108 114 122 127 134 144 152 162 171 183 201 216 228 243 244 254 268 288 304 324 342 366 381 402 432 456 486 488 508 513 536 549 603 608 648 684 729 732 762 804 864 912 972 976 1016 1026 1072 1098 1143 1159 1206 1273 1296 1368 1458 1464 1524 1539 1608 1647 1809 1824 1944 1952 2032 2052 2144 2187 2196 2286 2318 2412 2413 2546 2592 2736 2916 2928 3048 3078 3216 3294 3429 3477 3618 3819 3888 4064 4087 4104 4374 4392 4572 4617 4636 4824 4826 4941 5092 5427 5472 5832 5856 6096 6156 6432 6561 6588 6637 6858 6954 7236 7239 7638 7747 7776 8174 8208 8509 8748 8784 9144 9234 9272 9648 9652 9882 10184 10287 10431 10854 11457 11664 12192 12261 12312 13122 13176 13274 13716 13851 13908 14472 14478 14823 15276 15494 16281 16348 16416 17018 17496 17568 18288 18468 18544 19296 19304 19764 19911 20368 20574 20862 21708 21717 22914 23241 23328 24522 24624 25527 26244 26352 26548 27432 27702 27816 28944 28956 29646 30552 30861 30988 31293 32562 32696 34036 34371 34992 36576 36783 36936 37088 38608 39528 39822 40736 41148 41553 41724 43416 43434 44469 45828 46482 48843 49044 49248 51054 52488 52704 53096 54864 55404 55632 57888 57912 59292 59733 61104 61722 61976 62586 65124 65151 65392 68072 68742 69723 69984 73566 73872 76581 77216 77653 79056 79644 82296 83106 83448 86832 86868 88938 91656 92583 92964 93879 97686 98088 102108 103113 104976 106192 109728 110349 110808 111264 115824 118584 119466 122208 123444 123952 124659 125172 126103 130248 130302 130784 133407 136144 137484 139446 146529 147132 147193 147744 153162 155306 158112 159288 161671 164592 166212 166896 173664 173736 177876 179199 183312 185166 185928 187758 195372 195453 196176 204216 206226 209169 209952 212384 220698 221616 229743 231648 232959 237168 238932 246888 247904 249318 250344 252206 260496 260604 266814 272288 274968 277749 278892 281637 293058 294264 294386 306324 309339 310612 318576 323342 329184 331047 332424 333792 347472 355752 358398 366624 370332 371856 375516 378309 390744 390906 392352 400221 404857 408432 412452 418338 439587 441396 441579 443232 444679 459486 465918 474336 477864 485013 493776 498636 500688 504412 519049 520992 521208 533628 537597 549936 555498 557784 563274 586116 586359 588528 588772 612648 618678 621224 627507 637152 646684 662094 664848 689229 694944 698877 711504 716796 740664 743712 751032 756618 781488 781812 800442 809714 816864 824904 833247 836676 842899 844911 879174 882792 883158 889358 918972 928017 931836 955728 970026 987552 993141 997272 1001376 1008824 1038098 1042416 1067256 1075194 1099872 1110996 1115568 1126548 1134927 1172232 1172718 1177056 1177544 1214571 1225296 1237356 1242448 1255014 1293368 1324188 1324737 1329696 1334037 1378458 1397754 1423008 1433592 1455039 1481328 1502064 1513236 1557147 1562976 1563624 1600884 1612791 1619428 1649808 1666494 1673352 1685798 1689822 1758348 1759077 1765584 1766316 1778716 1837944 1856034 1863672 1882521 1911456 1940052 1986282 1994544 2017648 2067687 2076196 2084832 2096631 2134512 2150388 2221992 2231136 2253096 2269854 2344464 2345436 2355088 2429142 2450592 2474712 2484896 2510028 2528697 2534733 2586736 2648376 2649474 2668074 2756916 2784051 2795508 2867184 2910078 2962656 2979423 3004128 3026472 3114294 3127248 3201768 3225582 3238856 3299616 3332988 3346704 3371596 3379644 3404781 3516696 3518154 3531168 3532632 3557432 3643713 3675888 3712068 3727344 3765042 3880104 3972564 3974211 3989088 4002111 4035296 4135374 4152392 4193262 4269024 4300776 4365117 4443984 4506192 4539708 4671441 4688928 4690872 4710176 4838373 4858284 4949424 5020056 5057394 5069466 5173472 5277231 5296752 5298948 5336148 5513832 5568102 5591016 5647563 5734368 5820156 5958846 6052944 6203061 6228588 6254496 6289893 6403536 6451164 6477712 6665976 6693408 6743192 6759288 6809562 7033392 7036308 7065264 7114864 7287426 7351776 7424136 7454688 7530084 7586091 7604199 7692283 7760208 7945128 7948422 8004222 8270748 8304784 8352153 8386524 8448901 8601552 8730234 8887968 8938269 9012384 9079416 9342882 9381744 9676746 9716568 9861931 9898848 10040112 10114788 10138932 10214343 10554462 10593504 10597896 10672296 10931139 11027664 11136204 11182032 11295126 11640312 11917692 11922633 12006333 12105888 12406122 12457176 12579786 12807072 12902328 12955424 13095351 13331952 13486384 13518576 13619124 14014323 14066784 14072616 14130528 14229728 14515119 14574852 14848272 15060168 15172182 15208398 15384566 15520416 15831693 15890256 15896844 16008444 16015081 16541496 16609568 16704306 16773048 16897802 16942689 17203104 17460468 17876538 18158832 18609183 18685764 18763488 18869679 19353492 19433136 19723862 20080224 20229576 20277864 20428686 21108924 21195792 21344592 21862278 22055328 22272408 22364064 22590252 22758273 23076849 23280624 23835384 23845266 24012666 24812244 24914352 25159572 25346703 25804656 26190702 26663904 26814807 26972768 27037152 27125419 27238248 28028646 28145232 29030238 29149704 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6591476817 6618894264 6646132512 6810960978 6889856426 6918514992 7083378072 7189347699 7299850464 7373680452 7404024816 7476899076 7725866184 7780103784 7783329366 7812120672 7815359528 8132289552 8151701328 8212331772 8246127376 8329527918 8485787448 8520708384 8584083416 8788635756 8792279469 8825192352 9081281304 9148825746 9276893298 9444504096 9585796932 9657093843 9831573936 9969198768 10301154912 10334784639 10373471712 10377772488 10625067108 10949775696 11060520678 11106037224 11215348614 11314383264 11670155676 11674994049 11718181008 11723039292 12108375072 12198434328 12318497658 12369191064 12494291877 12781062576 12876125124 13182953634 13237788528 13621921956 13723238619 13779712852 13837029984 13915339947 14166756144 14378695398 14747360904 14808049632 14953798152 15451732368 15560207568 15566658732 15630719056 16264579104 16303402656 16424663544 16492254752 16659055836 16823022921 16971574896 17168166832 17577271512 17584558938 18162562608 18297651492 18477746487 18553786596 19171593864 19314187686 19663147872 19774430451 19938397536 20669569278 20755544976 21250134216 21568043097 21899551392 22121041356 22212074448 22430697228 23340311352 23349988098 23436362016 23446078584 24396868656 24636995316 24738382128 24988583754 25562125152 25752250248 26365907268 26376838407 26475577056 27243843912 27446477238 27559425704 27830679894 28333512288 28757390796 28971281529 29494721808 29907596304 30903464736 31004353917 31120415136 31133317464 31261438112 32849327088 33318111672 33646045842 33943149792 34336333664 35024982147 35154543024 35169117876 36325125216 36595302984 36955492974 37107573192 37482875631 38343187728 38628375372 39548860902 41169715857 41339138556 41511089952 41746019841 42500268432 43136086194 44242082712 44424148896 44861394456 46680622704 46699976196 46892157168 48793737312 49273990632 49476764256 49977167508 50469068763 51504500496 52731814536 52753676814 54487687824 54892954476 55118851408 55433239461 55661359788 57514781592 57942563058 58989443616 59323291353 59815192608 62008707834 62266634928 64704129291 65453636047 65698654176 66636223344 67292091684 70049964294 70309086048 70338235752 73190605968 73910985948 74215146384 74965751262 76686375456 77256750744 79097721804 79130515221 82339431714 82678277112 83492039682 85000536864 86272172388 86913844587 88484165424 89722788912 93013061751 93361245408 93399952392 93784314336 98547981264 99954335016 100938137526 103009000992 105074946441 105463629072 105507353628 108975375648 109785908952 110237702816 110866478922 111322719576 112448626893 115029563184 115885126116 118646582706 123509147571 124017415668 124533269856 125238059523 129408258582 130907272094 133272446688 134584183368 140099928588 140676471504 146381211936 147821971896 148430292768 149931502524 154513501488 158195443608 158261030442 164678863428 165356554224 166984079364 172544344776 173827689174 176968330848 177969874059 179445577824 186026123502 186799904784 196360908141 197095962528 199908670032 201876275052 210149892882 210927258144 211014707256 219571817904 221732957844 222645439152 224897253786 230059126368 231770252232 237293165412 237391545663 247018295142 248034831336 250476119046 258816517164 260741533761 261814544188 269168366736 279039185253 280199857176 281352943008 295643943792 299863005048 309027002976 316390887216 316522060884 329357726856 330713108448 333968158728 337345880679 345088689552 347655378348 355939748118 370527442713 372052247004 373599809568 375714178569 392721816282 399817340064 403752550104 420299785764 422029414512 439143635808 443465915688 445290878304 449794507572 463540504464 474586330824 474783091326 494036590284 496069662672 500952238092 517633034328 521483067522 523629088376 538336733472 558078370506 560399714352 589082724423 591287887584 599726010096 632781774432 633044121768 658715453712 667936317456 674691761358 690177379104 695310756696 711879496236 712174636989 741054885426 744104494008 751428357138 782224601283 785443632564 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4508570142828 4693347607698 4712661795384 5022705334554 5301744519807 5397534090864 5695035969888 5697397095912 5928439083408 6011426857104 6257796810264 6283549060512 6409571732901 6696940446072 6762855214242 7040021411547 7068992693076 7534058001831 7596529461216 8343729080352 8546095643868 8929253928096 9017140285656 9386695215396 9425323590768 10045410669108 10603489039614 10795068181728 11394794191824 11856878166816 12022853714208 12515593620528 12819143465802 13393880892144 13525710428484 14080042823094 14137985386152 15068116003662 15905233559421 17092191287736 18034280571312 18773390430792 18850647181536 20090821338216 21206978079228 22602174005493 22789588383648 25031187241056 25638286931604 26787761784288 27051420856968 28160085646188 28275970772304 30136232007324 31810467118842 34184382575472 36068561142624 37546780861584 40181642676432 42413956158456 45204348010986 47715700678263 51276573863208 54102841713936 56320171292376 56551941544608 60272464014648 63620934237684 68368765150944 75093561723168 80363285352864 84827912316912 90408696021972 95431401356526 102553147726416 108205683427872 112640342584752 120544928029296 127241868475368 143147102034789 169655824633824 180817392043944 190862802713052 205106295452832 225280685169504 241089856058592 254483736950736 286294204069578 361634784087888 381725605426104 429441306104367 508967473901472 572588408139156 723269568175776 763451210852208 858882612208734 1145176816278312 1526902421704416 1717765224417468 2290353632556624 3435530448834936 4580707265113248 6871060897669872 13742121795339744
- Sum of all divisors σ(n): 44417856515235840
- Sum of proper divisors (its aliquot sum) s(n): 30675734719896096
- 13742121795339744 is an abundant number, because the sum of its proper divisors (30675734719896096) is greater than itself. Its abundance is 16933612924556352
Bases of 13742121795339744
- Binary: 1100001101001001100011000100000001001001000101111000002
- Hexadecimal: 0x30D263101245E0
- Base-36: 3RB6BLLVI00
Squares and roots of 13742121795339744
- 13742121795339744 squared (137421217953397442) is 188845911437951628879356385985536
- 13742121795339744 cubed (137421217953397443) is 2595143515532274134714330255626254876357389942784
-
The
square root of 13742121795339744 is 117226796.4048311951 -
The
cube root of 13742121795339744 is 239525.2292193561
Scales and comparisons
How big is 13742121795339744?- 13,742,121,795,339,744 seconds is equal to 436,956,965 years, 47 weeks, 5 days, 5 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,742,121,795,339,744 would take you about one billion, three hundred ten million, eight hundred seventy thousand, eight hundred ninety-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 13742121795339744 cubic inches would be around 19960.4 feet tall.
Recreational maths with 13742121795339744
- 13742121795339744 backwards is 44793359712124731
- 13742121795339744 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13742121795339744's digits is 72
- More coming soon!
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"Number 13742121795339744 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13742121795339744 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13742121795339744/
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Numbermatics. 2024. "Number 13742121795339744 - Facts about the integer". https://numbermatics.com/n/13742121795339744/
The information we have on file for 13742121795339744 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 13742121795339744, math, Factors of 13742121795339744, curriculum, school, college, exams, university, Prime factorization of 13742121795339744, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, seven hundred forty-two trillion, one hundred twenty-one billion, seven hundred ninety-five million, three hundred thirty-nine thousand, seven hundred forty-four.