13842346097664
13,842,346,097,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 13842346097664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1584 divisors.
13842346097664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13842346097664:
210 × 32 × 72 × 193 × 41 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 19 × 19 × 19 × 41 × 109)See below for interesting mathematical facts about the number 13842346097664 from the Numbermatics database.
Names of 13842346097664
- Cardinal: 13842346097664 can be written as Thirteen trillion, eight hundred forty-two billion, three hundred forty-six million, ninety-seven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3842346097664 × 1013
Factors of 13842346097664
Divisors of 13842346097664
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 41 42 48 49 56 57 63 64 72 76 82 84 96 98 109 112 114 123 126 128 133 144 147 152 164 168 171 192 196 218 224 228 246 252 256 266 287 288 294 304 327 328 336 342 361 369 384 392 399 436 441 448 456 492 504 512 532 574 576 588 608 654 656 672 684 722 738 763 768 779 784 798 861 872 882 896 912 931 981 984 1008 1024 1064 1083 1148 1152 1176 1197 1216 1308 1312 1344 1368 1444 1476 1526 1536 1558 1568 1596 1722 1744 1764 1792 1824 1862 1962 1968 2009 2016 2071 2128 2166 2289 2296 2304 2337 2352 2394 2432 2527 2583 2616 2624 2688 2736 2793 2888 2952 3052 3072 3116 3136 3192 3249 3444 3488 3528 3584 3648 3724 3924 3936 4018 4032 4142 4256 4332 4469 4578 4592 4608 4674 4704 4788 4864 5054 5166 5232 5248 5341 5376 5453 5472 5586 5776 5904 6027 6104 6213 6232 6272 6384 6498 6859 6867 6888 6976 7011 7056 7168 7296 7448 7581 7848 7872 8036 8064 8284 8379 8512 8664 8938 9156 9184 9216 9348 9408 9576 9728 10108 10332 10464 10496 10682 10752 10906 10944 11172 11552 11808 12054 12208 12426 12464 12544 12768 12996 13407 13718 13734 13776 13952 14022 14112 14497 14592 14801 14896 15162 15696 15744 16023 16072 16128 16359 16568 16758 17024 17328 17689 17876 18081 18312 18368 18639 18696 18816 19152 19456 20216 20577 20664 20928 20992 21364 21504 21812 21888 22344 22743 23104 23616 24108 24416 24852 24928 25088 25536 25992 26814 27436 27468 27552 27904 28044 28224 28994 29184 29602 29792 30324 31283 31392 31488 32046 32144 32256 32718 33136 33516 34048 34656 35378 35752 36162 36624 36736 37278 37392 37632 38171 38304 39349 40221 40432 41154 41328 41856 41984 42728 43491 43624 43776 44403 44688 45486 46208 47232 48013 48069 48216 48832 49077 49704 49856 50176 51072 51984 53067 53628 54872 54936 55104 55808 56088 56448 57988 58368 59204 59584 60648 61731 62566 62784 62976 64092 64288 64512 65436 66272 67032 68096 69312 70756 71504 72324 73248 73472 74556 74784 75264 76342 76608 78698 80442 80864 82308 82656 83712 84911 85456 86982 87248 87552 88806 89376 90972 92416 93849 94464 96026 96138 96432 97664 98154 99408 99712 101479 102144 103607 103968 106134 107256 109744 109872 110208 111616 112176 112896 114513 115976 118047 118408 119168 121296 123462 125132 125568 125952 128184 128576 130473 130872 132544 133209 134064 136192 138624 141512 143008 144039 144648 146496 146944 149112 149568 150528 152684 153216 157396 159201 160884 161728 164616 165312 167424 169822 170912 173964 174496 175104 177612 178752 181944 184832 187698 188928 192052 192276 192864 195328 196308 198816 199424 202958 204288 207214 207936 212268 214512 218981 219488 219744 220416 224352 225792 229026 231952 236094 236816 238336 242592 246924 250264 251136 254733 256368 257152 260946 261744 265088 266418 268128 275443 277248 281219 281547 283024 286016 288078 289296 292992 293888 298224 299136 304437 305368 306432 310821 314792 318402 321768 323456 329232 330624 334848 336091 339644 341824 343539 347928 348992 354141 355224 357504 363888 369664 375396 377856 384104 384552 385728 390656 392616 397632 398848 405916 408576 414428 415872 424536 429024 432117 437962 438976 439488 440832 448704 451584 458052 463904 472188 473632 476672 485184 493848 500528 502272 509466 512736 514304 521892 523488 530176 532836 536256 550886 554496 562438 563094 566048 572032 576156 578592 585984 594377 596448 598272 608874 610736 612864 621642 629584 636804 643536 646912 656943 658464 661248 672182 679288 683648 687078 695856 697984 708282 710448 715008 725249 727776 747631 750792 764199 768208 769104 771456 781312 785232 795264 797696 811832 826329 828856 831744 843657 849072 858048 864234 875924 877952 878976 881664 897408 913311 916104 927808 932463 944376 947264 953344 970368 987696 1001056 1004544 1008273 1018932 1025472 1028608 1043784 1046976 1060352 1065672 1072512 1101772 1108992 1124876 1126188 1132096 1144064 1152312 1157184 1171968 1188754 1192896 1196544 1217748 1221472 1225728 1243284 1259168 1273608 1287072 1293824 1313886 1316928 1322496 1344364 1358576 1367296 1374156 1391712 1395968 1416564 1420896 1430016 1450498 1455552 1495262 1501584 1528398 1536416 1538208 1542912 1570464 1590528 1613309 1623664 1652658 1657712 1663488 1687314 1698144 1716096 1728468 1751848 1755904 1757952 1783131 1794816 1826622 1832208 1855616 1864926 1888752 1894528 1928101 1940736 1968533 1970829 1975392 2002112 2016546 2037864 2050944 2057216 2087568 2093952 2120704 2131344 2145024 2175747 2203544 2242893 2249752 2252376 2264192 2288128 2304624 2314368 2343936 2377508 2385792 2393088 2435496 2442944 2478987 2486568 2518336 2530971 2547216 2574144 2587648 2627772 2633856 2644992 2688728 2717152 2734592 2748312 2783424 2791936 2833128 2841792 2860032 2900996 2911104 2990524 3003168 3024819 3056796 3072832 3076416 3085824 3140928 3181056 3226618 3247328 3305316 3315424 3326976 3374628 3396288 3432192 3456936 3503696 3511808 3515904 3566262 3589632 3653244 3664416 3711232 3729852 3777504 3789056 3856202 3881472 3937066 3941658 3950784 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32605824 33285112 33401088 33879489 34101504 34705818 34811952 35256704 35433594 35886288 35996032 36038016 36633919 36873984 37445751 38040128 38719416 38967936 39087104 39663792 39785088 40293376 40495536 40755456 41186304 41339193 41867336 42044352 42795144 43019648 43474432 43972992 44534784 45172652 45330048 45468672 46274424 46415936 47100753 47244792 47848384 48050688 48397104 48908736 49165312 49222656 49927668 50254848 51625888 51957248 52217928 52885056 53046784 53829432 53994048 54340608 55118924 55310976 56059136 57060192 58079124 58451904 58630656 59677632 60440064 61305742 61699232 62801004 62993056 63066528 63212544 64529472 65211648 66570224 66802176 67758978 68203008 69411636 69623904 70513408 70867188 71772576 71992064 72076032 73267838 73747968 74891502 76080256 77438832 77935872 79052141 79327584 79570176 80991072 81510912 82678386 83734672 84088704 85590288 86039296 86948864 87945984 90345304 90660096 91958613 92548848 92831872 94201506 94489584 95696768 96101376 96794208 97817472 99855336 101638467 103251776 103914496 104435856 105770112 106093568 107658864 107988096 109901757 110237848 110621952 112118272 114120384 116158248 116903808 117261312 119355264 120880128 122611484 123398464 124017579 125602008 125986112 126133056 129058944 130423296 133140448 133604352 135517956 136406016 138823272 139247808 141026816 141734376 143545152 143984128 144152064 146535676 147495936 149783004 152160512 154877664 155871744 158104282 158655168 159140352 161982144 163021824 165356772 167469344 168177408 171180576 172078592 175891968 180690608 181320192 183917226 185097696 185663744 188403012 188979168 191393536 193588416 195634944 199710672 203276934 206503552 208871712 211540224 214570097 215317728 215976192 219803514 220475696 221243904 224236544 228240768 232316496 233807616 237156423 238710528 245222968 246796928 248035158 251204016 251972224 252266112 258117888 260846592 266280896 271035912 275875839 277646544 278495616 282053632 283468752 287090304 287968256 288304128 293071352 299566008 304321024 309755328 311743488 316208564 317310336 318280704 323964288 329705271 330713544 334938688 336354816 342361152 344157184 351783936 361381216 362640384 367834452 370195392 371327488 376806024 377958336 382787072 387176832 391269888 399421344 406553868 413007104 417743424 423080448 429140194 430635456 431952384 439607028 440951392 442487808 456481536 464632992 467615232 474312846 477421056 490445936 493593856 496070316 502408032 503944448 504532224 516235776 532561792 542071824 551751678 555293088 556991232 566937504 574180608 586142704 599132016 608642048 619510656 632417128 634620672 643710291 647928576 659410542 661427088 669877376 672709632 684722304 711469269 722762432 735668904 740390784 742654976 753612048 755916672 765574144 774353664 782539776 798842688 813107736 826014208 835486848 846160896 858280388 861270912 863904768 879214056 881902784 912963072 929265984 935230464 948625692 954842112 980891872 987187712 992140632 1004816064 1007888896 1009064448 1032471552 1065123584 1084143648 1103503356 1110586176 1113982464 1133875008 1148361216 1172285408 1198264032 1239021312 1264834256 1269241344 1287420582 1295857152 1318821084 1322854176 1339754752 1369444608 1422938538 1445524864 1471337808 1480781568 1501990679 1507224096 1511833344 1548707328 1597685376 1626215472 1652028416 1670973696 1716560776 1722541824 1758428112 1763805568 1825926144 1858531968 1897251384 1931130873 1961783744 1974375424 1984281264 2009632128 2015777792 2018128896 2130247168 2168287296 2207006712 2221172352 2227964928 2267750016 2296722432 2344570816 2396528064 2478042624 2529668512 2538482688 2574841164 2591714304 2637642168 2645708352 2679509504 2738889216 2845877076 2891049728 2942675616 2961563136 3003981358 3014448192 3023666688 3097414656 3195370752 3252430944 3341947392 3433121552 3445083648 3516856224 3527611136 3717063936 3794502768 3862261746 3923567488 3968562528 4019264256 4260494336 4336574592 4414013424 4442344704 4505972037 4535500032 4689141632 4793056128 4956085248 5059337024 5149682328 5275284336 5291416704 5359019008 5477778432 5691754152 5782099456 5885351232 5923126272 6007962716 6028896384 6047333376 6390741504 6504861888 6683894784 6866243104 6890167296 7033712448 7055222272 7434127872 7589005536 7724523492 7847134976 7937125056 8038528512 8673149184 8828026848 8884689408 9011944074 9071000064 9378283264 9586112256 10118674048 10299364656 10550568672 10582833408 11383508304 11564198912 11770702464 12015925432 12057792768 12781483008 13009723776 13517916111 13732486208 14067424896 14110444544 14868255744 15178011072 15449046984 15694269952 15874250112 16077057024 17346298368 17656053696 17769378816 18023888148 18142000128 18756566528 19172224512 20237348096 20598729312 21101137344 21165666816 22767016608 23541404928 24031850864 24115585536 26019447552 27035832222 27464972416 28134849792 30356022144 30898093968 31388539904 31748500224 34692596736 35312107392 36047776296 37513133056 38344449024 40474696192 41197458624 42202274688 42331333632 45534033216 47082809856 48063701728 48231171072 52038895104 54071664444 54929944832 56269699584 60712044288 61796187936 63497000448 70624214784 72095552592 80949392384 82394917248 84404549376 91068066432 94165619712 96127403456 104077790208 108143328888 109859889664 112539399168 121424088576 123592375872 126994000896 141248429568 144191105184 164789834496 168809098752 182136132864 192254806912 216286657776 219719779328 242848177152 247184751744 282496859136 288382210368 329579668992 337618197504 364272265728 384509613824 432573315552 494369503488 576764420736 659159337984 728544531456 769019227648 865146631104 988739006976 1153528841472 1538038455296 1730293262208 1977478013952 2307057682944 3460586524416 4614115365888 6921173048832 13842346097664
- Sum of all divisors σ(n): 50736042957600
- Sum of proper divisors (its aliquot sum) s(n): 36893696859936
- 13842346097664 is an abundant number, because the sum of its proper divisors (36893696859936) is greater than itself. Its abundance is 23051350762272
Bases of 13842346097664
- Binary: 110010010110111011000001111100111100000000002
- Hexadecimal: 0xC96EC1F3C00
- Base-36: 4WN33GU80
Squares and roots of 13842346097664
- 13842346097664 squared (138423460976642) is 191610545487513769026256896
- 13842346097664 cubed (138423460976643) is 2652339486600356585118075777498369490944
-
The
square root of 13842346097664 is 3720530.3516654719 -
The
cube root of 13842346097664 is 24010.6122614711
Scales and comparisons
How big is 13842346097664?- 13,842,346,097,664 seconds is equal to 440,143 years, 41 weeks, 2 hours, 14 minutes, 24 seconds.
-
To count from 1 to 13,842,346,097,664 would take you about one million, one hundred thousand, three hundred fifty-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 13842346097664 cubic inches would be around 2000.9 feet tall.
Recreational maths with 13842346097664
- 13842346097664 backwards is 46679064324831
- 13842346097664 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13842346097664's digits is 63
- More coming soon!
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"Number 13842346097664 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 13842346097664 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13842346097664/
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The information we have on file for 13842346097664 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 13842346097664, math, Factors of 13842346097664, curriculum, school, college, exams, university, Prime factorization of 13842346097664, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred forty-two billion, three hundred forty-six million, ninety-seven thousand, six hundred sixty-four.