13974308961984
13,974,308,961,984 is an even composite number composed of six prime numbers multiplied together.
What does the number 13974308961984 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
13974308961984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 13974308961984:
26 × 39 × 72 × 31 × 67 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 31 × 67 × 109)See below for interesting mathematical facts about the number 13974308961984 from the Numbermatics database.
Names of 13974308961984
- Cardinal: 13974308961984 can be written as Thirteen trillion, nine hundred seventy-four billion, three hundred eight million, nine hundred sixty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.3974308961984 × 1013
Factors of 13974308961984
Divisors of 13974308961984
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 49 54 56 62 63 64 67 72 81 84 93 96 98 108 109 112 124 126 134 144 147 162 168 186 189 192 196 201 216 217 218 224 243 248 252 268 279 288 294 324 327 336 372 378 392 402 432 434 436 441 448 469 486 496 504 536 558 567 576 588 603 648 651 654 672 729 744 756 763 784 804 837 864 868 872 882 938 972 981 992 1008 1072 1116 1134 1176 1206 1296 1302 1308 1323 1344 1407 1458 1488 1512 1519 1526 1568 1608 1674 1701 1728 1736 1744 1764 1809 1876 1944 1953 1962 1984 2016 2077 2144 2187 2232 2268 2289 2352 2412 2511 2592 2604 2616 2646 2814 2916 2943 2976 3024 3038 3052 3136 3216 3283 3348 3379 3402 3472 3488 3528 3618 3752 3888 3906 3924 3969 4032 4154 4221 4288 4374 4464 4536 4557 4578 4704 4824 5022 5103 5184 5208 5232 5292 5341 5427 5628 5832 5859 5886 5952 6048 6076 6104 6231 6432 6561 6566 6696 6758 6804 6867 6944 6976 7056 7236 7303 7504 7533 7776 7812 7848 7938 8308 8442 8748 8829 8928 9072 9114 9156 9408 9648 9849 10044 10137 10206 10416 10464 10584 10682 10854 11256 11664 11718 11772 11907 12096 12152 12208 12462 12663 12864 13122 13132 13392 13516 13608 13671 13734 13888 14112 14472 14539 14606 15008 15066 15309 15552 15624 15696 15876 16023 16281 16616 16884 17496 17577 17658 17856 18144 18228 18312 18693 19296 19683 19698 20088 20274 20412 20601 20832 20928 21168 21364 21708 21909 22512 22599 23328 23436 23544 23653 23814 24304 24416 24924 25326 26244 26264 26487 26784 27032 27216 27342 27468 28224 28944 29078 29212 29547 30016 30132 30411 30618 31248 31392 31752 32046 32562 33232 33768 34992 35154 35316 35721 36288 36456 36624 37386 37989 38592 39366 39396 40176 40548 40824 41013 41202 41664 42336 42728 43416 43617 43818 45024 45198 45927 46656 46872 47088 47306 47628 48069 48608 48832 48843 49848 50652 51121 52488 52528 52731 52974 53568 54064 54432 54684 54936 56079 57888 58156 58424 59094 60264 60822 61236 61803 62496 62784 63504 64092 65124 65727 66464 67536 67797 69984 70308 70632 70959 71442 72912 73248 74772 75978 78732 78792 79461 80352 81096 81648 82026 82404 84672 85456 86832 87234 87636 88641 90048 90396 91233 91854 93744 94176 94612 95256 96138 97216 97686 99696 101304 101773 102242 104976 105056 105462 105948 107163 108128 108864 109368 109872 112158 113967 115776 116312 116848 118188 120528 121644 122472 123039 123606 124992 127008 128184 130248 130851 131454 132928 135072 135594 137781 139968 140616 141264 141918 142884 144207 145824 146496 146529 149544 151956 153363 157464 157584 158193 158922 160704 162192 163296 164052 164808 165571 168237 170912 173664 174468 175272 177282 180792 182466 183708 185409 187488 188352 189224 190512 192276 195372 197181 199392 202608 203391 203546 204484 209952 210112 210924 211896 212877 214326 216256 218736 219744 224316 226393 227934 232624 233696 236376 238383 241056 243288 244944 246078 247212 254016 256368 260496 261702 262908 265923 270144 271188 273699 275562 281232 282528 283836 285768 288414 291648 293058 299088 303912 305319 306726 314928 315168 316386 317844 321489 324384 326592 328104 329616 331142 336474 341824 341901 347328 348936 350544 354564 357847 361584 364932 367416 369117 370818 374976 378448 381024 384552 390744 392553 394362 398784 405216 406782 407092 408968 419904 421848 423792 425754 428652 432621 437472 439488 439587 448632 452786 455868 460089 465248 467392 472752 474579 476766 482112 486576 489888 492156 494424 496713 504711 512736 520992 523404 525816 531846 542376 547398 551124 556227 562464 565056 567672 571536 576828 586116 591543 598176 607824 610173 610638 613452 629856 630336 632772 635688 638631 642978 648768 656208 659232 662284 672948 679179 683802 697872 701088 709128 715149 715694 723168 729864 734832 738234 741636 756896 762048 769104 781488 785106 788724 797769 810432 813564 814184 817936 821097 843696 847584 851508 857304 865242 874944 879174 897264 905572 911736 915957 920178 930496 945504 949158 953532 964467 973152 979776 984312 988848 993426 1009422 1025472 1025703 1041984 1046808 1051632 1063692 1073541 1084752 1094796 1102248 1107351 1112454 1124928 1135344 1143072 1153656 1172232 1177659 1183086 1196352 1215648 1220346 1221276 1226904 1259712 1265544 1271376 1277262 1285956 1297863 1312416 1318464 1318761 1324568 1345896 1358358 1367604 1380267 1395744 1402176 1418256 1423737 1430298 1431388 1446336 1459728 1469664 1476468 1483272 1490139 1513792 1514133 1538208 1562976 1570212 1577448 1584751 1595538 1627128 1628368 1635872 1642194 1668681 1687392 1695168 1703016 1714608 1730484 1758348 1774629 1794528 1811144 1823472 1831914 1840356 1891008 1898316 1907064 1915893 1928934 1946304 1968624 1977696 1986852 2018844 2037537 2051406 2093616 2103264 2127384 2145447 2147082 2169504 2189592 2204496 2214702 2224908 2270688 2286144 2307312 2344464 2355318 2366172 2393307 2431296 2440692 2442552 2453808 2463291 2531088 2542752 2554524 2571912 2595726 2624832 2637522 2649136 2691792 2716716 2735208 2747871 2760534 2791488 2836512 2847474 2860596 2862776 2919456 2939328 2952936 2966544 2980278 3028266 3076416 3077109 3125952 3140424 3154896 3169502 3191076 3220623 3254256 3256736 3271744 3284388 3322053 3337362 3374784 3406032 3429216 3460968 3516696 3532977 3549258 3589056 3622288 3646944 3663828 3680712 3796632 3814128 3831786 3857868 3893589 3937248 3955392 3973704 4037688 4075074 4102812 4140801 4187232 4206528 4254768 4271211 4290894 4294164 4339008 4379184 4408992 4429404 4449816 4470417 4541376 4542399 4614624 4688928 4710636 4732344 4754253 4786614 4881384 4885104 4907616 4926582 5006043 5062176 5085504 5109048 5143824 5191452 5275044 5298272 5323887 5383584 5433432 5470416 5495742 5521068 5673024 5694948 5721192 5725552 5747679 5838912 5905872 5933088 5960556 6056532 6112611 6154218 6280848 6309792 6339004 6382152 6441246 6508512 6513472 6568776 6644106 6674724 6812064 6858432 6921936 7033392 7065954 7098516 7179921 7244576 7293888 7327656 7361424 7389873 7593264 7628256 7663572 7715736 7787178 7874496 7947408 8075376 8150148 8205624 8243613 8281602 8374464 8509536 8542422 8581788 8588328 8758368 8817984 8858808 8899632 8940834 9084798 9229248 9231327 9377856 9421272 9464688 9508506 9573228 9661869 9762768 9770208 9815232 9853164 9966159 10012086 10124352 10218096 10287648 10382904 10550088 10596544 10598931 10647774 10767168 10866864 10940832 10991484 11042136 11093257 11389896 11442384 11451104 11495358 11680767 11811744 11866176 11921112 12113064 12225222 12308436 12422403 12561696 12619584 12678008 12764304 12882492 13017024 13137552 13288212 13349448 13411251 13624128 13627197 13843872 14066784 14131908 14197032 14262759 14359842 14489152 14655312 14722848 14779746 15018129 15186528 15256512 15327144 15431472 15574356 15894816 15971661 16150752 16300296 16411248 16487226 16563204 17019072 17084844 17163576 17176656 17243037 17516736 17717616 17799264 17881668 18169596 18337833 18462654 18842544 18929376 19017012 19146456 19323738 19525536 19540416 19706328 19932318 20024172 20436192 20575296 20765808 21100176 21197862 21295548 21539763 21733728 21881664 21982968 22084272 22169619 22186514 22779792 22884768 22902208 22990716 23361534 23623488 23842224 24226128 24450444 24616872 24730839 24844806 25123392 25356016 25528608 25764984 26275104 26576424 26698896 26822502 27254394 27687744 28133568 28263816 28394064 28525518 28719684 28985607 29310624 29445696 29559492 29898477 30036258 30373056 30654288 30862944 31148712 31789632 31796793 31943322 32301504 32600592 32822496 32974452 33126408 33279771 34169688 34327152 34353312 34486074 35042301 35435232 35598528 35763336 36339192 36675666 36925308 37267209 37685088 37858752 38034024 38292912 38647476 39051072 39412656 39864636 40048344 40233753 40872384 40881591 41531616 42200352 42395724 42591096 42788277 43079526 43467456 43965936 44168544 44339238 44373028 45559584 45769536 45981432 46723068 47684448 47914983 48452256 48900888 49233744 49461678 49689612 50712032 51057216 51529968 51729111 52550208 53152848 53397792 53645004 54508788 55013499 56527632 56788128 57051036 57439368 57971214 58621248 59118984 59796954 60072516 61308576 61725888 62297424 63593586 63886644 64619289 65201184 65644992 65948904 66252816 66508857 66559542 68339376 68654304 68706624 68972148 70084602 70870464 71526672 72678384 73351332 73850616 74192517 74534418 75370176 76068048 76585824 77294952 78825312 79729272 80096688 80467506 81763182 83063232 84400704 84791448 85182192 85576554 86159052 86956821 87931872 88337088 88678476 88746056 91119168 91962864 93446136 95368896 95390379 95829966 96904512 97801776 98467488 98923356 99379224 99839313 101424064 103059936 103458222 105126903 106305696 106795584 107290008 109017576 110026998 111801627 113055264 113576256 114102072 114878736 115942428 118237968 119593908 120145032 120701259 122617152 124594848 127187172 127773288 128364831 129238578 130402368 131897808 132505632 133017714 133119084 136678752 137308608 137944296 140169204 143053344 143744949 145356768 146702664 147701232 148385034 149068836 152136096 153171648 154589904 155187333 157650624 159458544 160193376 160935012 163526364 165040497 169582896 170364384 171153108 172318104 173913642 175863744 177356952 177492112 183925728 186892272 190780758 191659932 195603552 196934976 197846712 198758448 199678626 206119872 206916444 210253806 212611392 214580016 218035152 220053996 222577551 223603254 226110528 228204144 229757472 231884856 236475936 239187816 240290064 241402518 249189696 254374344 255546576 256729662 258477156 260870463 263795616 265011264 266035428 266238168 273357504 275888592 280338408 286106688 286171137 287489898 290713536 293405328 295402464 296770068 298137672 299517939 304272192 309179808 310374666 318917088 320386752 321870024 327052728 330080994 335404881 339165792 340728768 342306216 344636208 347827284 354713904 354984224 362103777 367851456 373784544 381561516 383319864 385094493 391207104 395693424 397516896 399357252 413832888 420507612 429160032 436070304 440107992 445155102 447206508 456408288 459514944 463769712 465561999 472951872 478375632 480580128 482805036 495121491 508748688 511093152 513459324 516954312 521740926 527591232 532070856 532476336 551777184 560676816 572342274 574979796 586810656 590804928 593540136 596275344 599035878 618359616 620749332 637834176 643740048 654105456 660161988 667732653 670809762 678331584 684612432 689272416 695654568 709427808 709968448 724207554 747569088 763123032 766639728 770188986 782611389 791386848 795033792 798714504 827665776 841015224 858320064 872140608 880215984 890310204 894413016 898553817 912816576 927539424 931123998 956751264 961160256 965610072 990242982 1006214643 1017497376 1022186304 1026918648 1033908624 1043481852 1064141712 1064952672 1086311331 1103554368 1121353632 1144684548 1149959592 1155283479 1173621312 1187080272 1192550688 1198071756 1241498664 1287480096 1308210912 1320323976 1335465306 1341619524 1369224864 1378544832 1391309136 1418855616 1448415108 1485364473 1526246064 1533279456 1540377972 1565222778 1582773696 1597429008 1655331552 1682030448 1760431968 1780620408 1788826032 1797107634 1855078848 1862247996 1913502528 1931220144 1980485964 2003197959 2012429286 2034994752 2053837296 2067817248 2086963704 2128283424 2129905344 2172622662 2242707264 2289369096 2299919184 2310566958 2347834167 2374160544 2385101376 2396143512 2482997328 2574960192 2616421824 2640647952 2670930612 2683239048 2695661451 2738449728 2782618272 2896830216 2970728946 3052492128 3066558912 3080755944 3130445556 3194858016 3258933993 3310663104 3364060896 3465850437 3520863936 3561240816 3577652064 3594215268 3724495992 3862440288 3960971928 4006395918 4024858572 4107674592 4135634496 4173927408 4256566848 4345245324 4456093419 4578738192 4599838368 4621133916 4695668334 4748321088 4792287024 4965994656 5281295904 5341861224 5366478096 5391322902 5565236544 5793660432 5941457892 6104984256 6161511888 6260891112 6389716032 6517867986 6728121792 6931700874 7043502501 7122481632 7155304128 7188430536 7448991984 7724880576 7921943856 8012791836 8049717144 8086984353 8215349184 8347854816 8690490648 8912186838 9157476384 9199676736 9242267832 9391336668 9584574048 9931989312 10397551311 10562591808 10683722448 10732956192 10782645804 11587320864 11882915784 12323023776 12521782224 13035735972 13863401748 14087005002 14244963264 14376861072 14897983968 15843887712 16025583672 16099434288 16173968706 16695709632 17380981296 17824373676 18314952768 18484535664 18782673336 19169148096 20795102622 21367444896 21465912384 21565291608 23174641728 23765831568 24260953059 24646047552 25043564448 26071471944 27726803496 28174010004 28753722144 29795967936 31192653933 31687775424 32051167344 32198868576 32347937412 34761962592 35648747352 36969071328 37565346672 41590205244 42734889792 43130583216 47531663136 48521906118 50087128896 52142943888 55453606992 56348020008 57507444288 62385307866 64102334688 64397737152 64695874824 69523925184 71297494704 72782859177 73938142656 75130693344 83180410488 86261166432 95063326272 97043812236 104285887776 110907213984 112696040016 124770615732 128204669376 129391749648 142594989408 145565718354 150261386688 166360820976 172522332864 194087624472 208571775552 218348577531 221814427968 225392080032 249541231464 258783499296 285189978816 291131436708 332721641952 388175248944 436697155062 450784160064 499082462928 517566998592 582262873416 665443283904 776350497888 873394310124 998164925856 1164525746832 1552700995776 1746788620248 1996329851712 2329051493664 3493577240496 4658102987328 6987154480992 13974308961984
- Sum of all divisors σ(n): 51157033128960
- Sum of proper divisors (its aliquot sum) s(n): 37182724166976
- 13974308961984 is an abundant number, because the sum of its proper divisors (37182724166976) is greater than itself. Its abundance is 23208415204992
Bases of 13974308961984
- Binary: 110010110101101001011011100010111110110000002
- Hexadecimal: 0xCB5A5B8BEC0
- Base-36: 4YBPIR000
Squares and roots of 13974308961984
- 13974308961984 squared (139743089619842) is 195281310964986339557216256
- 13974308961984 cubed (139743089619843) is 2728921373925992972106542456559970811904
-
The
square root of 13974308961984 is 3738222.7009615145 -
The
cube root of 13974308961984 is 24086.6709820983
Scales and comparisons
How big is 13974308961984?- 13,974,308,961,984 seconds is equal to 444,339 years, 41 weeks, 4 days, 1 hour, 26 minutes, 24 seconds.
-
To count from 1 to 13,974,308,961,984 would take you about one million, one hundred ten thousand, eight hundred forty-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 13974308961984 cubic inches would be around 2007.2 feet tall.
Recreational maths with 13974308961984
- 13974308961984 backwards is 48916980347931
- 13974308961984 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13974308961984's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 13974308961984 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 13974308961984 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13974308961984/
Chicago style:
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The information we have on file for 13974308961984 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 13974308961984, math, Factors of 13974308961984, curriculum, school, college, exams, university, Prime factorization of 13974308961984, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred seventy-four billion, three hundred eight million, nine hundred sixty-one thousand, nine hundred eighty-four.