13854735138816
13,854,735,138,816 is an even composite number composed of six prime numbers multiplied together.
What does the number 13854735138816 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1224 divisors.
13854735138816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred twenty-four divisors.
Prime factorization of 13854735138816:
216 × 32 × 112 × 13 × 109 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 13 × 109 × 137)See below for interesting mathematical facts about the number 13854735138816 from the Numbermatics database.
Names of 13854735138816
- Cardinal: 13854735138816 can be written as Thirteen trillion, eight hundred fifty-four billion, seven hundred thirty-five million, one hundred thirty-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.3854735138816 × 1013
Factors of 13854735138816
Divisors of 13854735138816
- Number of divisors d(n): 1224
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 64 66 72 78 88 96 99 104 109 117 121 128 132 137 143 144 156 176 192 198 208 218 234 242 256 264 274 286 288 312 327 352 363 384 396 411 416 429 436 468 484 512 528 548 572 576 624 654 704 726 768 792 822 832 858 872 936 968 981 1024 1056 1089 1096 1144 1152 1199 1233 1248 1287 1308 1408 1417 1452 1507 1536 1573 1584 1644 1664 1716 1744 1781 1872 1936 1962 2048 2112 2178 2192 2288 2304 2398 2466 2496 2574 2616 2816 2834 2904 3014 3072 3146 3168 3288 3328 3432 3488 3562 3597 3744 3872 3924 4096 4224 4251 4356 4384 4521 4576 4608 4719 4796 4932 4992 5148 5232 5343 5632 5668 5808 6028 6144 6292 6336 6576 6656 6864 6976 7124 7194 7488 7744 7848 8192 8448 8502 8712 8768 9042 9152 9216 9438 9592 9864 9984 10296 10464 10686 10791 11264 11336 11616 12056 12288 12584 12672 12753 13152 13189 13312 13563 13728 13952 14157 14248 14388 14933 14976 15488 15587 15696 16029 16384 16577 16896 17004 17424 17536 18084 18304 18432 18876 19184 19591 19728 19968 20592 20928 21372 21582 22528 22672 23232 24112 24576 25168 25344 25506 26304 26378 26624 27126 27456 27904 28314 28496 28776 29866 29952 30976 31174 31392 32058 32768 33154 33792 34008 34848 35072 36168 36608 36864 37752 38368 39182 39456 39567 39936 41184 41856 42744 43164 44799 45056 45344 46464 46761 48224 49152 49731 50336 50688 51012 52608 52756 53248 54252 54912 55808 56628 56992 57552 58773 59732 59904 61952 62348 62784 64116 65536 66308 67584 68016 69696 70144 72336 73216 73728 75504 76736 78364 78912 79134 79872 82368 83712 85488 86328 89598 90112 90688 92928 93522 96448 98304 99462 100672 101376 102024 105216 105512 106496 108504 109824 111616 113256 113984 115104 117546 118701 119464 119808 123904 124696 125568 128232 132616 134397 135168 136032 139392 140283 140288 144672 146432 147456 149193 151008 153472 156728 157824 158268 159744 164263 164736 167424 170976 171457 172656 176319 179196 180224 181376 185856 187044 192896 194129 196608 198924 201344 202752 204048 210432 211024 212992 215501 217008 219648 223232 226512 227968 230208 235092 237402 238928 239616 247808 249392 251136 256464 265232 268794 270336 272064 278784 280566 280576 289344 292864 294912 298386 302016 306944 313456 315648 316536 319488 328526 329472 334848 341952 342914 345312 352638 358392 360448 362752 371712 374088 385792 388258 397848 402688 405504 408096 420864 422048 425984 431002 434016 439296 446464 453024 455936 460416 470184 474804 477856 479232 492789 495616 498784 502272 512928 514371 530464 537588 540672 544128 557568 561132 561152 578688 582387 585728 589824 596772 604032 613888 626912 631296 633072 638976 646503 657052 658944 669696 683904 685828 690624 705276 716784 720896 725504 743424 748176 771584 776516 795696 805376 811008 816192 841728 844096 851968 862004 868032 878592 892928 906048 911872 920832 940368 949608 955712 958464 985578 991232 997568 1004544 1025856 1028742 1060928 1075176 1081344 1088256 1115136 1122264 1122304 1157376 1164774 1171456 1193544 1208064 1227776 1253824 1262592 1266144 1277952 1293006 1314104 1317888 1339392 1367808 1371656 1381248 1410552 1433568 1451008 1478367 1486848 1496352 1543113 1543168 1553032 1591392 1610752 1622016 1632384 1683456 1688192 1724008 1736064 1747161 1757184 1785856 1806893 1812096 1823744 1841664 1880736 1899216 1911424 1916928 1939509 1971156 1982464 1995136 2009088 2051712 2057484 2121856 2135419 2150352 2162688 2176512 2230272 2244528 2244608 2314752 2329548 2342912 2387088 2416128 2455552 2507648 2525184 2532288 2555904 2586012 2628208 2635776 2678784 2735616 2743312 2762496 2821104 2867136 2902016 2956734 2973696 2992704 3086226 3086336 3106064 3182784 3221504 3244032 3264768 3366912 3376384 3448016 3472128 3494322 3514368 3571712 3613786 3624192 3647488 3683328 3761472 3798432 3822848 3833856 3879018 3942312 3964928 3990272 4018176 4103424 4114968 4243712 4270838 4300704 4353024 4460544 4489056 4489216 4629504 4659096 4685824 4774176 4832256 4911104 5015296 5050368 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1944797184 1986057216 2018463744 2081540736 2106863616 2186669056 2201960448 2255002464 2298396672 2385457152 2444378112 2460002688 2593062912 2648076288 2691284992 2775387648 2809151488 2888810496 2935947264 3006669952 3027695616 3064528896 3160295424 3180609536 3259170816 3280003584 3382503696 3530768384 3578185728 3700516864 3851747328 3889594368 3972114432 4036927488 4163081472 4213727232 4373338112 4403920896 4510004928 4596793344 4770914304 4888756224 4920005376 5296152576 5382569984 5550775296 5618302976 5777620992 6013339904 6055391232 6320590848 6361219072 6560007168 6765007392 7061536768 7156371456 7401033728 7779188736 7944228864 8073854976 8326162944 8427454464 8746676224 8807841792 9020009856 9193586688 9541828608 9777512448 9840010752 10592305152 10765139968 11101550592 11236605952 11555241984 12026679808 12110782464 12641181696 12722438144 13120014336 13530014784 14123073536 14312742912 14802067456 15888457728 16147709952 16652325888 16854908928 17493352448 18040019712 19083657216 19680021504 21184610304 22203101184 24053359616 24221564928 25282363392 26240028672 27060029568 28625485824 29604134912 31776915456 32295419904 33304651776 33709817856 34986704896 36080039424 38167314432 39360043008 42369220608 44406202368 48106719232 48443129856 50564726784 52480057344 54120059136 57250971648 59208269824 63553830912 66609303552 69973409792 72160078848 78720086016 88812404736 96213438464 96886259712 101129453568 104960114688 108240118272 114501943296 118416539648 127107661824 133218607104 139946819584 144320157696 157440172032 177624809472 192426876928 209920229376 216480236544 266437214208 288640315392 314880344064 355249618944 384853753856 419840458752 432960473088 532874428416 577280630784 629760688128 769707507712 865920946176 1065748856832 1154561261568 1259521376256 1539415015424 1731841892352 2309122523136 3463683784704 4618245046272 6927367569408 13854735138816
- Sum of all divisors σ(n): 48161656222680
- Sum of proper divisors (its aliquot sum) s(n): 34306921083864
- 13854735138816 is an abundant number, because the sum of its proper divisors (34306921083864) is greater than itself. Its abundance is 20452185945048
Bases of 13854735138816
- Binary: 110010011001110011101001000100000000000000002
- Hexadecimal: 0xC99CE910000
- Base-36: 4WSRZKZK0
Squares and roots of 13854735138816
- 13854735138816 squared (138547351388162) is 191953685766742806789881856
- 13854735138816 cubed (138547351388163) is 2659467475217736244626183263532399722496
-
The
square root of 13854735138816 is 3722194.9356281705 -
The
cube root of 13854735138816 is 24017.7733732177
Scales and comparisons
How big is 13854735138816?- 13,854,735,138,816 seconds is equal to 440,537 years, 37 weeks, 3 days, 18 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,854,735,138,816 would take you about one million, one hundred one thousand, three hundred forty-four 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 13854735138816 cubic inches would be around 2001.5 feet tall.
Recreational maths with 13854735138816
- 13854735138816 backwards is 61883153745831
- The number of decimal digits it has is: 14
- The sum of 13854735138816's digits is 63
- More coming soon!
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The information we have on file for 13854735138816 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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