13834149088146816
13,834,149,088,146,816 is an even composite number composed of seven prime numbers multiplied together.
13834149088146816 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 13834149088146816:
27 × 3 × 11 × 132 × 19 × 1092 × 2932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 13 × 19 × 109 × 109 × 293 × 293)See below for interesting mathematical facts about the number 13834149088146816 from the Numbermatics database.
Names of 13834149088146816
- Cardinal: 13834149088146816 can be written as Thirteen quadrillion, eight hundred thirty-four trillion, one hundred forty-nine billion, eighty-eight million, one hundred forty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.3834149088146816 × 1016
Factors of 13834149088146816
Divisors of 13834149088146816
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 19 22 24 26 32 33 38 39 44 48 52 57 64 66 76 78 88 96 104 109 114 128 132 143 152 156 169 176 192 208 209 218 228 247 264 286 293 304 312 327 338 352 384 416 418 429 436 456 494 507 528 572 586 608 624 627 654 676 704 741 832 836 858 872 879 912 988 1014 1056 1144 1172 1199 1216 1248 1254 1308 1352 1408 1417 1482 1664 1672 1716 1744 1758 1824 1859 1976 2028 2071 2112 2288 2344 2398 2432 2496 2508 2616 2704 2717 2834 2964 3211 3223 3344 3432 3488 3516 3597 3648 3718 3809 3952 4056 4142 4224 4251 4576 4688 4796 4992 5016 5232 5408 5434 5567 5577 5668 5928 6213 6422 6446 6688 6864 6976 7032 7194 7296 7436 7618 7904 8112 8151 8284 8502 9152 9376 9592 9633 9669 10032 10464 10816 10868 11134 11154 11336 11427 11856 11881 12426 12844 12892 13376 13728 13952 14064 14388 14872 15236 15587 15808 16224 16302 16568 16701 17004 18304 18421 18752 19184 19266 19338 20064 20928 21632 21736 22268 22308 22672 22781 22854 23712 23762 24852 25688 25784 26752 26923 27456 28128 28776 29744 30472 31174 31616 31937 32448 32604 33136 33402 34008 35321 35643 36842 37504 38368 38532 38676 40128 41856 41899 43472 44536 44616 45344 45562 45708 46761 47424 47524 49517 49704 51376 51568 53846 54912 55263 56256 57552 59488 60944 61237 62348 63874 64896 65208 66272 66804 68016 68343 70642 71286 72371 73684 76736 77064 77352 80256 80769 83798 85849 86944 89072 89232 90688 91124 91416 93522 94848 95048 95811 99034 99408 102752 103136 105963 107692 110526 112512 115104 118976 121888 122474 124696 125697 127748 130416 130691 132544 133608 136032 136686 141284 142572 144742 147368 148551 153472 154128 154453 154704 161538 167596 171698 173888 178144 178464 181376 182248 182832 183711 187044 190096 191622 198068 198816 202631 205504 206272 211926 215384 217113 221052 225739 230208 237952 243776 244948 249392 251394 255496 257547 260832 261382 265088 267216 272064 273372 282568 285144 289484 294736 296153 297102 308256 308906 309408 323076 335192 343396 347776 349999 351307 356288 356928 364496 365664 367422 374088 380192 383244 392073 396136 397632 405262 411008 412544 415181 423852 430768 434226 442104 451478 460416 463359 487552 489896 498784 502788 510992 515094 521664 522764 534432 544128 544687 546744 565136 570288 578968 589472 592306 594204 606803 607893 616512 617812 618816 646152 670384 677217 686792 699998 702614 712576 713856 728992 731328 734844 748176 760384 766488 784146 792272 795264 796081 810524 830362 847704 861536 868452 884208 888459 902956 926718 940823 944339 979792 997568 1005576 1021984 1030188 1043328 1045528 1049997 1053921 1068864 1089374 1093488 1116037 1130272 1140576 1157936 1178944 1184612 1188408 1213606 1215786 1233024 1235624 1237632 1245543 1292304 1340768 1354434 1373584 1399996 1405228 1457984 1462656 1469688 1496352 1520768 1532976 1568292 1584544 1592162 1621048 1631131 1634061 1660724 1695408 1698983 1723072 1736904 1768416 1776918 1805912 1820409 1853436 1881646 1888678 1959584 1995136 2007889 2011152 2043968 2060376 2091056 2099994 2107842 2137728 2178748 2186976 2232074 2260544 2281152 2315872 2357888 2369224 2376816 2388243 2427212 2431572 2471248 2483129 2491086 2584608 2681536 2708868 2747168 2799992 2810456 2822469 2833017 2915968 2934607 2939376 2992704 3065952 3136584 3169088 3184324 3242096 3262262 3268122 3321448 3348111 3390816 3397966 3446144 3473808 3481133 3536832 3553836 3611824 3640818 3706872 3763292 3777356 3849989 3919168 4015778 4022304 4087936 4120752 4182112 4199988 4215684 4357496 4373952 4464148 4521088 4562304 4566991 4631744 4738448 4753632 4776486 4854424 4863144 4893393 4942496 4966258 4982172 5096949 5169216 5363072 5397353 5417736 5494336 5599984 5620912 5644938 5666034 5869214 5878752 5985408 6023667 6131904 6273168 6338176 6368648 6484192 6524524 6536244 6642896 6674833 6696222 6781632 6795932 6947616 6962266 7073664 7107672 7223648 7281636 7413744 7449387 7526584 7554712 7699978 7838336 7888439 8031556 8044608 8241504 8364224 8399976 8431368 8714992 8747904 8803821 8928296 9133982 9263488 9357541 9476896 9507264 9552972 9708848 9726288 9786786 9884992 9932516 9964344 10193898 10338432 10349053 10443399 10794706 10835472 10988672 11199968 11241824 11289876 11332068 11549967 11738428 11757504 12047334 12263808 12276407 12546336 12737296 12968384 13049048 13072488 13285792 13349666 13392444 13563264 13591864 13700973 13895232 13924532 14215344 14447296 14508481 14563272 14827488 14898774 15053168 15109424 15399956 15776878 16063112 16089216 16192059 16483008 16728448 16799952 16862736 17429984 17607642 17856592 17942441 18267964 18715082 18953792 19014528 19105944 19417696 19452576 19573572 19769984 19865032 19928688 20024499 20387796 20698106 20886798 21204703 21589412 21670944 22086779 22399936 22483648 22579752 22664136 23099934 23476856 23515008 23665317 24094668 24552814 25092672 25474592 25936768 26098096 26144976 26571584 26699332 26784888 27183728 27401946 27790464 27849064 28072623 28430688 28894592 29016962 29126544 29654976 29797548 30106336 30218848 30799912 31047159 31553756 32126224 32280677 32384118 32966016 33599904 33725472 34859968 35215284 35713184 35884882 36535928 36829221 37430164 37907584 38149891 38211888 38292463 38835392 38905152 39147144 39730064 39857376 40048998 40775592 41396212 41773596 42409406 43178824 43341888 43525443 44173558 44799872 44967296 45159504 45254729 45328272 46199868 46953712 47330634 48189336 49105628 50185344 50949184 52196192 52289952 53143168 53398664 53569776 53827323 54367456 54803892 55698128 56145246 56861376 58033924 58253088 59309952 59370883 59595096 60212672 60437696 61599824 62094318 63107512 63614109 64252448 64561354 64768236 66141527 66260337 67199808 67450944 69719936 70430568 71426368 71769764 73071856 73658442 74860328 76299782 76423776 76584926 77670784 77810304 78294288 79460128 79714752 80097996 81551184 82792424 83547192 84818812 86357648 86683776 86772829 87050886 88347116 90319008 90509458 90656544 92399736 93907424 94661268 96378672 96842031 98211256 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67318149954 68272619136 69582674876 69845452512 72194993728 72774540696 73962004064 75303869056 75665906888 75908372592 76273316691 77517869644 77657114964 79557813582 80572569792 82544625696 85640215232 89423344504 89568665472 89757533272 90141192453 93127270016 93874851312 95577987648 97032720928 97917309024 101211163456 101697755588 103542819952 104374012314 105853877376 106077084776 108292490592 110059500928 110943006096 112955803584 113498860332 116276804466 120188256604 122957098693 125166468416 128460322848 130556412032 134135016756 134636299908 139165349752 139690905024 144389987456 145549081392 145855991567 147924008128 151331813776 151816745184 152546633382 155035739288 155314229928 159115627164 161145139584 165089251392 171280430464 172375262761 178846689008 179515066544 180282384906 187749702624 191155975296 194065441856 195834618048 202422326912 203395511176 207085639904 208748024628 212154169552 213174141521 216584981184 221886012192 225911607168 226997720664 232553608932 240376513208 245914197386 250332936832 251933076343 256920645696 268270033512 269272599816 278330699504 279381810048 291098162784 291711983134 295848016256 302663627552 303633490368 305093266764 310071478576 310628459856 318231254328 330178502784 330517705661 344750525522 357693378016 359030133088 360564769812 368871296079 375499405248 388130883712 391669236096 406791022352 414171279808 417496049256 424308339104 426348283042 433169962368 437567974701 443772024384 453995441328 465107217864 480753026416 491828394772 503866152686 513841291392 517125788283 536540067024 538545199632 556661399008 582196325568 583423966268 605327255104 607266980736 610186533528 620142957152 621256919712 636462508656 639522424563 661035411322 689501051044 715386756032 718060266176 721129539624 737742592158 750998810496 755799229029 813582044704 828342559616 834992098512 848616678208 852696566084 875135949402 887544048768 907990882656 930214435728 961506052832 983656789544 991553116983 1007732305372 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5901940737264 6046393832232 6550259984918 6679936788096 6821572528672 7001087595216 7441715485824 7584511561484 7869254316352 7932424935864 8061858442976 8274012612528 8313791519319 9334783460288 9762984536448 9825389977377 10232358793008 10576566581152 11032016816704 11085055359092 11376767342226 11538072633984 11803881474528 12092787664464 13100519969836 13643145057344 14002175190432 15169023122968 15738508632704 15864849871728 16123716885952 16548025225056 16627583038638 18669566920576 19650779954754 20464717586016 21153133162304 22064033633408 22170110718184 22753534684452 23607762949056 24185575328928 26201039939672 27286290114688 28004350380864 30338046245936 31729699743456 32247433771904 33096050450112 33255166077276 36026429917049 39301559909508 40929435172032 42306266324608 44340221436368 45507069368904 47215525898112 48371150657856 52402079879344 56008700761728 60676092491872 63459399486912 66192100900224 66510332154552 72052859834098 78603119819016 81858870344064 88680442872736 91014138737808 96742301315712 104804159758688 108079289751147 121352184983744 126918798973824 133020664309104 144105719668196 157206239638032 177360885745472 182028277475616 209608319517376 216158579502294 242704369967488 266041328618208 288211439336392 314412479276064 354721771490944 364056554951232 419216639034752 432317159004588 532082657236416 576422878672784 628824958552128 728113109902464 864634318009176 1064165314472832 1152845757345568 1257649917104256 1729268636018352 2305691514691136 3458537272036704 4611383029382272 6917074544073408 13834149088146816
- Sum of all divisors σ(n): 46274091237259200
- Sum of proper divisors (its aliquot sum) s(n): 32439942149112384
- 13834149088146816 is an abundant number, because the sum of its proper divisors (32439942149112384) is greater than itself. Its abundance is 18605793060965568
Bases of 13834149088146816
- Binary: 1100010010011000010101110101100010101100110101100000002
- Hexadecimal: 0x312615D62B3580
- Base-36: 3S7SOCRXRPC
Squares and roots of 13834149088146816
- 13834149088146816 squared (138341490881468162) is 191383680993073380609029170937856
- 13834149088146816 cubed (138341490881468163) is 2647630375896507229178156851142831913835740266496
-
The
square root of 13834149088146816 is 117618659.6086982111 -
The
cube root of 13834149088146816 is 240058.7187815957
Scales and comparisons
How big is 13834149088146816?- 13,834,149,088,146,816 seconds is equal to 439,883,149 years, 8 weeks, 5 days, 23 hours, 53 minutes, 36 seconds.
-
To count from 1 to 13,834,149,088,146,816 would take you about one billion, three hundred nineteen million, six hundred forty-nine thousand, four hundred forty-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 13834149088146816 cubic inches would be around 20004.9 feet tall.
Recreational maths with 13834149088146816
- 13834149088146816 backwards is 61864188094143831
- The number of decimal digits it has is: 17
- The sum of 13834149088146816's digits is 75
- More coming soon!
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MLA style:
"Number 13834149088146816 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 13834149088146816 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/13834149088146816/
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Numbermatics. 2024. "Number 13834149088146816 - Facts about the integer". https://numbermatics.com/n/13834149088146816/
The information we have on file for 13834149088146816 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 13834149088146816, math, Factors of 13834149088146816, curriculum, school, college, exams, university, Prime factorization of 13834149088146816, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred thirty-four trillion, one hundred forty-nine billion, eighty-eight million, one hundred forty-six thousand, eight hundred sixteen.