13391712681984
13,391,712,681,984 is an even composite number composed of five prime numbers multiplied together.
What does the number 13391712681984 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1224 divisors.
13391712681984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred twenty-four divisors.
Prime factorization of 13391712681984:
216 × 33 × 72 × 13 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 109 × 109)See below for interesting mathematical facts about the number 13391712681984 from the Numbermatics database.
Names of 13391712681984
- Cardinal: 13391712681984 can be written as Thirteen trillion, three hundred ninety-one billion, seven hundred twelve million, six hundred eighty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.3391712681984 × 1013
Factors of 13391712681984
Divisors of 13391712681984
- Number of divisors d(n): 1224
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 84 91 96 98 104 108 109 112 117 126 128 144 147 156 168 182 189 192 196 208 216 218 224 234 252 256 273 288 294 312 327 336 351 364 378 384 392 416 432 436 441 448 468 504 512 546 576 588 624 637 654 672 702 728 756 763 768 784 819 832 864 872 882 896 936 981 1008 1024 1092 1152 1176 1248 1274 1308 1323 1344 1404 1417 1456 1512 1526 1536 1568 1638 1664 1728 1744 1764 1792 1872 1911 1962 2016 2048 2184 2289 2304 2352 2457 2496 2548 2616 2646 2688 2808 2834 2912 2943 3024 3052 3072 3136 3276 3328 3456 3488 3528 3584 3744 3822 3924 4032 4096 4251 4368 4578 4608 4704 4914 4992 5096 5232 5292 5341 5376 5616 5668 5733 5824 5886 6048 6104 6144 6272 6552 6656 6867 6912 6976 7056 7168 7488 7644 7848 8064 8192 8502 8736 9156 9216 9408 9828 9919 9984 10192 10464 10584 10682 10752 11232 11336 11466 11648 11772 11881 12096 12208 12288 12544 12753 13104 13312 13734 13824 13952 14112 14336 14976 15288 15696 16023 16128 16384 17004 17199 17472 18312 18432 18816 19656 19838 19968 20384 20601 20928 21168 21364 21504 22464 22672 22932 23296 23544 23762 24192 24416 24576 25088 25506 26208 26624 27468 27648 27904 28224 28672 29757 29952 30576 31392 32046 32256 32768 34008 34398 34944 35643 36624 36864 37632 38259 39312 39676 39936 40768 41202 41856 42336 42728 43008 44928 45344 45864 46592 47088 47524 48069 48384 48832 49152 50176 51012 52416 53248 54936 55296 55808 56448 57344 59514 59904 61152 62784 64092 64512 65536 68016 68796 69433 69888 71286 73248 73728 75264 76518 78624 79352 79872 81536 82404 83167 83712 84672 85456 86016 89271 89856 90688 91728 93184 94176 95048 96138 96768 97664 98304 100352 102024 104832 106496 106929 109872 110592 111616 112896 114688 119028 119808 122304 125568 128184 129024 136032 137592 138866 139776 142572 144207 146496 147456 150528 153036 154453 157248 158704 159744 163072 164808 166334 167424 169344 170912 172032 178542 179712 181376 183456 186368 188352 190096 192276 193536 195328 196608 200704 204048 208299 209664 212992 213858 219744 221184 223232 225792 229376 238056 239616 244608 249501 251136 256368 258048 267813 272064 275184 277732 279552 285144 288414 292992 294912 301056 306072 308906 314496 317408 319488 320787 326144 329616 332668 334848 338688 341824 344064 357084 359424 362752 366912 372736 376704 380192 384552 387072 390656 401408 408096 416598 419328 425984 427716 439488 442368 446464 451584 458752 463359 476112 479232 489216 499002 502272 512736 516096 535626 544128 550368 555464 559104 570288 576828 582169 585984 589824 602112 612144 617812 624897 628992 634816 638976 641574 652288 659232 665336 669696 677376 683648 688128 714168 718848 725504 733824 745472 748503 753408 760384 769104 774144 781312 802816 816192 833196 838656 851968 855432 878976 884736 892928 903168 926718 952224 958464 978432 998004 1004544 1025472 1032192 1071252 1081171 1088256 1100736 1110928 1118208 1140576 1153656 1164338 1171968 1204224 1224288 1235624 1249794 1257984 1269632 1277952 1283148 1304576 1318464 1330672 1339392 1354752 1367296 1376256 1390077 1428336 1437696 1451008 1467648 1490944 1497006 1506816 1520768 1538208 1548288 1562624 1605632 1632384 1666392 1677312 1710864 1746507 1757952 1769472 1785856 1806336 1853436 1874691 1904448 1916928 1956864 1996008 2009088 2050944 2064384 2142504 2162342 2176512 2201472 2221856 2236416 2245509 2281152 2307312 2328676 2343936 2408448 2448576 2471248 2499588 2515968 2539264 2555904 2566296 2609152 2636928 2661344 2678784 2709504 2734592 2780154 2856672 2875392 2902016 2935296 2981888 2994012 3013632 3041536 3076416 3096576 3125248 3211264 3243513 3264768 3332784 3354624 3421728 3493014 3515904 3571712 3612672 3706872 3749382 3808896 3833856 3913728 3992016 4018176 4101888 4128768 4170231 4285008 4324684 4353024 4402944 4443712 4472832 4491018 4562304 4614624 4657352 4687872 4816896 4897152 4942496 4999176 5031936 5078528 5132592 5218304 5239521 5273856 5322688 5357568 5419008 5469184 5560308 5713344 5750784 5804032 5870592 5963776 5988024 6027264 6083072 6152832 6193152 6250496 6487026 6529536 6665568 6709248 6843456 6986028 7031808 7143424 7225344 7413744 7498764 7568197 7617792 7667712 7827456 7984032 8036352 8203776 8340462 8570016 8649368 8706048 8805888 8887424 8945664 8982036 9124608 9229248 9314704 9375744 9633792 9730539 9794304 9884992 9998352 10063872 10157056 10265184 10436608 10479042 10547712 10645376 10715136 10838016 10938368 11120616 11426688 11501568 11608064 11741184 11976048 12054528 12166144 12305664 12386304 12500992 12974052 13059072 13331136 13418496 13686912 13972056 14063616 14450688 14827488 14997528 15136394 15235584 15654912 15718563 15968064 16072704 16407552 16680924 17140032 17298736 17412096 17611776 17774848 17891328 17964072 18249216 18458496 18629408 18751488 19461078 19588608 19769984 19996704 20127744 20314112 20530368 20873216 20958084 21095424 21290752 21430272 21676032 21876736 22241232 22704591 22853376 23003136 23216128 23482368 23952096 24109056 24332288 24611328 25001984 25948104 26118144 26662272 26836992 27373824 27944112 28127232 28901376 29191617 29654976 29995056 30272788 30471168 31309824 31437126 31936128 32145408 32815104 33361848 34280064 34597472 34824192 35223552 35549696 35928144 36498432 36916992 37258816 37502976 38922156 39177216 39539968 39993408 40255488 40628224 41060736 41746432 41916168 42190848 42581504 43352064 43753472 44482464 45409182 45706752 46432256 46964736 47904192 48218112 48664576 49222656 50003968 51896208 52236288 53324544 53673984 54747648 55888224 56254464 58383234 59309952 59990112 60545576 60942336 62619648 62874252 63872256 64290816 65630208 66723696 68113773 68560128 69194944 69648384 70447104 71099392 71856288 72996864 73833984 74517632 75005952 77844312 78354432 79079936 79986816 80510976 81256448 82121472 83832336 84381696 85163008 86704128 87506944 88964928 90818364 91413504 92864512 93929472 95808384 96436224 97329152 98445312 103792416 104472576 106649088 109495296 111776448 112508928 116766468 118619904 119980224 121091152 121884672 125239296 125748504 127744512 131260416 133447392 136227546 137120256 138389888 139296768 140894208 142198784 143712576 145993728 147667968 149035264 150011904 155688624 156708864 158159872 159973632 161021952 162512896 164242944 167664672 168763392 170326016 175013888 177929856 181636728 182827008 187858944 191616768 192872448 194658304 196890624 204341319 207584832 208945152 213298176 218990592 223552896 225017856 233532936 237239808 239960448 242182304 243769344 251497008 255489024 262520832 266894784 272455092 274240512 276779776 278593536 281788416 284397568 287425152 291987456 295335936 298070528 311377248 313417728 316319744 319947264 325025792 328485888 335329344 337526784 340652032 350027776 355859712 363273456 365654016 375717888 383233536 389316608 393781248 408682638 415169664 417890304 426596352 437981184 447105792 450035712 467065872 474479616 479920896 484364608 487538688 502994016 510978048 525041664 533789568 544910184 548481024 553559552 563576832 568795136 574850304 583974912 590671872 596141056 622754496 626835456 632639488 639894528 650051584 656971776 670658688 675053568 681304064 711719424 726546912 731308032 766467072 778633216 787562496 817365276 830339328 835780608 853192704 875962368 894211584 934131744 948959232 959841792 968729216 975077376 1005988032 1021956096 1050083328 1067579136 1089820368 1096962048 1107119104 1127153664 1137590272 1149700608 1167949824 1181343744 1192282112 1245508992 1253670912 1265278976 1279789056 1313943552 1341317376 1350107136 1362608128 1423438848 1453093824 1462616064 1532934144 1575124992 1634730552 1660678656 1706385408 1751924736 1788423168 1868263488 1897918464 1919683584 1937458432 1950154752 2011976064 2043912192 2135158272 2179640736 2193924096 2214238208 2275180544 2299401216 2335899648 2362687488 2384564224 2491017984 2507341824 2530557952 2559578112 2627887104 2682634752 2725216256 2846877696 2906187648 2925232128 3065868288 3150249984 3269461104 3321357312 3412770816 3503849472 3576846336 3736526976 3795836928 3839367168 3874916864 4023952128 4087824384 4270316544 4359281472 4387848192 4428476416 4550361088 4598802432 4725374976 4769128448 4982035968 5061115904 5119156224 5255774208 5365269504 5450432512 5693755392 5812375296 5850464256 6131736576 6538922208 6642714624 6825541632 7007698944 7153692672 7473053952 7591673856 7678734336 7749833728 8047904256 8175648768 8540633088 8718562944 8775696384 8856952832 9197604864 9450749952 9538256896 9964071936 10122231808 10238312448 10511548416 10730539008 11387510784 11624750592 12263473152 13077844416 13285429248 13651083264 14307385344 14946107904 15183347712 15357468672 15499667456 16095808512 16351297536 17081266176 17437125888 17551392768 17713905664 18395209728 19076513792 19928143872 20476624896 21023096832 21461078016 22775021568 23249501184 24526946304 26155688832 26570858496 28614770688 29892215808 30366695424 30714937344 30999334912 32191617024 34162532352 34874251776 35427811328 36790419456 38153027584 39856287744 40953249792 42922156032 45550043136 46499002368 49053892608 52311377664 53141716992 57229541376 59784431616 61429874688 61998669824 64383234048 68325064704 69748503552 70855622656 73580838912 79712575488 85844312064 91100086272 92998004736 104622755328 106283433984 114459082752 119568863232 122859749376 123997339648 128766468096 136650129408 139497007104 147161677824 159425150976 171688624128 185996009472 209245510656 212566867968 239137726464 247994679296 257532936192 273300258816 278994014208 318850301952 343377248256 371992018944 418491021312 478275452928 495989358592 515065872384 557988028416 637700603904 743984037888 836982042624 956550905856 1030131744768 1115976056832 1487968075776 1673964085248 1913101811712 2231952113664 3347928170496 4463904227328 6695856340992 13391712681984
- Sum of all divisors σ(n): 50167781763120
- Sum of proper divisors (its aliquot sum) s(n): 36776069081136
- 13391712681984 is an abundant number, because the sum of its proper divisors (36776069081136) is greater than itself. Its abundance is 23384356399152
Bases of 13391712681984
- Binary: 110000101110000000000100011100000000000000002
- Hexadecimal: 0xC2E00470000
- Base-36: 4QW2FYTC0
Squares and roots of 13391712681984
- 13391712681984 squared (133917126819842) is 179337968556811098318176256
- 13391712681984 cubed (133917126819843) is 2401642547883495015328960861013387771904
-
The
square root of 13391712681984 is 3659468.9070934869 -
The
cube root of 13391712681984 is 23747.1798280799
Scales and comparisons
How big is 13391712681984?- 13,391,712,681,984 seconds is equal to 425,815 years, 2 weeks, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 13,391,712,681,984 would take you about one million, sixty-four thousand, five hundred thirty-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 13391712681984 cubic inches would be around 1978.9 feet tall.
Recreational maths with 13391712681984
- 13391712681984 backwards is 48918621719331
- 13391712681984 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13391712681984's digits is 63
- More coming soon!
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The information we have on file for 13391712681984 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 13391712681984, math, Factors of 13391712681984, curriculum, school, college, exams, university, Prime factorization of 13391712681984, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, three hundred ninety-one billion, seven hundred twelve million, six hundred eighty-one thousand, nine hundred eighty-four.