13946723232497748
13,946,723,232,497,748 is an even composite number composed of six prime numbers multiplied together.
13946723232497748 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13946723232497748:
22 × 33 × 75 × 112 × 31 × 1273
(2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 31 × 127 × 127 × 127)See below for interesting mathematical facts about the number 13946723232497748 from the Numbermatics database.
Names of 13946723232497748
- Cardinal: 13946723232497748 can be written as Thirteen quadrillion, nine hundred forty-six trillion, seven hundred twenty-three billion, two hundred thirty-two million, four hundred ninety-seven thousand, seven hundred forty-eight.
Scientific notation
- Scientific notation: 1.3946723232497748 × 1016
Factors of 13946723232497748
Divisors of 13946723232497748
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 31 33 36 42 44 49 54 62 63 66 77 84 93 98 99 108 121 124 126 127 132 147 154 186 189 196 198 217 231 242 252 254 279 294 297 308 341 343 363 372 378 381 396 434 441 462 484 508 539 558 588 594 651 682 686 693 726 756 762 837 847 868 882 889 924 1023 1029 1078 1089 1116 1143 1188 1302 1323 1364 1372 1386 1397 1452 1519 1524 1617 1674 1694 1764 1778 1953 2046 2058 2079 2156 2178 2286 2387 2401 2541 2604 2646 2667 2772 2794 3038 3069 3087 3234 3267 3348 3388 3429 3556 3751 3773 3906 3937 4092 4116 4158 4191 4356 4557 4572 4774 4802 4851 5082 5292 5334 5588 5859 5929 6076 6138 6174 6223 6468 6534 6858 7161 7203 7502 7546 7623 7812 7874 8001 8316 8382 9114 9207 9261 9548 9604 9702 9779 10164 10633 10668 11253 11319 11718 11811 11858 12276 12348 12446 12573 13068 13671 13716 14322 14406 14553 15004 15092 15246 15367 15748 16002 16129 16709 16764 16807 17787 18228 18414 18522 18669 19404 19558 21266 21483 21609 22506 22638 22869 23436 23622 23716 24003 24892 25146 26257 26411 27342 27559 28644 28812 29106 29337 30492 30734 31899 32004 32258 33418 33614 33759 33957 35433 35574 36828 37044 37338 37719 39116 41013 41503 42532 42966 43218 43307 43561 45012 45276 45738 46101 47244 48006 48387 50127 50292 50421 52514 52822 53361 54684 55118 56007 58212 58674 61468 63798 64449 64516 64827 66836 67228 67518 67914 68453 70866 71148 74431 74676 75438 78771 79233 82026 82677 83006 85932 86436 86614 87122 88011 91476 92202 95697 96012 96774 100254 100842 101277 101871 105028 105644 106299 106722 107569 110236 112014 112903 116963 117348 124509 127596 128898 129654 129921 130683 135036 135828 136906 138303 141732 145161 148862 150381 150876 151263 157542 158466 160083 164052 165354 166012 168021 173228 174244 176022 177419 183799 184404 184877 191394 192913 193548 200508 201684 202554 203742 205359 212598 213444 215138 223293 224028 225806 233926 236313 237699 248031 249018 257796 259308 259842 261366 264033 273812 276606 287091 290322 290521 297724 300762 302526 303149 304927 315084 316932 320166 322707 330708 336042 338709 350889 352044 354838 367598 369754 373527 382788 385826 389763 392049 405108 407484 410718 414909 425196 430276 435483 446586 451143 451612 453789 467852 472626 475398 476377 479171 496062 498036 499999 519684 521017 522732 528066 532257 551397 553212 554631 574182 578739 580644 581042 601524 605052 606298 609854 616077 640332 645414 669879 672084 677418 701778 708939 709676 713097 735196 739508 744093 747054 752983 771652 779526 784098 790321 818741 821436 829818 870966 871563 893172 902286 907578 909447 914781 945252 950796 952754 958342 968121 992124 999998 1016127 1042034 1052667 1056132 1064514 1102794 1109262 1120581 1148364 1157478 1162084 1169289 1176147 1212596 1219708 1232154 1241933 1286593 1290828 1339758 1350391 1354836 1403556 1417878 1426194 1429131 1437513 1488186 1494108 1499997 1505966 1559052 1563051 1568196 1580642 1596771 1637482 1654191 1659636 1663893 1736217 1741932 1743126 1804572 1815156 1818894 1829562 1848231 1905508 1916684 1936242 1951609 1999996 2009637 2032254 2033647 2048383 2084068 2105334 2122043 2129028 2134489 2205588 2218524 2241162 2258949 2314956 2338578 2352294 2370963 2456223 2464308 2483866 2573186 2614689 2679516 2700782 2728341 2744343 2835756 2852388 2858262 2875026 2904363 2976372 2999994 3011932 3048381 3126102 3158001 3161284 3193542 3274964 3308382 3327786 3334639 3354197 3472434 3486252 3499993 3637788 3659124 3696462 3725799 3859779 3872484 3903218 4019274 4051173 4064508 4067294 4096766 4210668 4244086 4268978 4287393 4312539 4482324 4499991 4517898 4677156 4689153 4704588 4741926 4790313 4912446 4962573 4967732 4991679 5146372 5208651 5229378 5270881 5401564 5456682 5488686 5499989 5532247 5716524 5731187 5750052 5808726 5854827 5999988 6096762 6100941 6145149 6252204 6316002 6366129 6387084 6403467 6616764 6655572 6669278 6708394 6776847 6944868 6999986 7112889 7368669 7392924 7451598 7719558 7806436 7844067 8038548 8102346 8134588 8185023 8193532 8233029 8488172 8537956 8574786 8625078 8693531 8999982 9006151 9035796 9378306 9452737 9483852 9580626 9824892 9925146 9983358 10003917 10062591 10417302 10458756 10499979 10541762 10913364 10977372 10999978 11064494 11177397 11462374 11579337 11617452 11709654 12153519 12193524 12201882 12290298 12632004 12732258 12806934 12862179 12937617 13338556 13416788 13499973 13553694 13661263 13999972 14067459 14225778 14338681 14737338 14854301 14903196 15439116 15688134 15812643 16204692 16370046 16466058 16499967 16596741 17149572 17193561 17250156 17387062 17564481 17999964 18012302 18302823 18435447 18756612 18905474 19098387 19161252 19210401 19850292 19966716 20007834 20125182 20330541 20834604 20999958 21083524 21338667 21999956 22106007 22128988 22354794 22532213 22924748 23158674 23342473 23419308 23479379 24307038 24403764 24499951 24580596 25464516 25613868 25724358 25875234 26080593 26999946 27018453 27107388 27322526 28134918 28358211 28451556 28677362 29474676 29708602 30011751 30187773 31376268 31499937 31625286 32740092 32932116 32999934 33193482 33532191 34387122 34738011 34774124 35128962 36024604 36460557 36605646 36870894 36896167 37810948 38196774 38420802 38499923 38725729 40015668 40250364 40661082 40983789 41999916 42677334 43016043 44212014 44562903 44709588 45064426 46317348 46684946 46958758 47437929 48614076 48999902 49499901 49790223 51448716 51580683 51750468 52161186 52693443 53999892 54036906 54645052 54908469 55306341 56269836 56716422 57295161 57354724 57631203 59417204 60023502 60375546 60499879 60854717 62999874 63043057 63250572 63499873 65999868 66169159 66386964 67064382 67596639 68774244 69476022 70027419 70257924 70438137 72921114 73211292 73499853 73741788 73792334 76393548 76841604 76999846 77451458 78241779 81055359 81322164 81967578 85074633 85354668 86032086 88424028 89125806 90035253 90128852 90563319 93369892 93917516 94499811 94875858 95628841 97999804 98999802 99580446 100370767 103161366 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88010823978 88527016494 92201815596 92438315123 92742588708 93688941654 96077618868 98402077389 100841798316 101870796258 102679294641 103281519243 106721786556 107347720788 107568784862 108199686826 109303765263 112013775972 118849262301 119240471196 123528367116 124508750982 126516956643 129653740692 130682738634 131202769852 132016235967 132790524741 136905726188 137708692324 138302723394 139113883062 144116428302 145260209479 145738353684 151262697474 152463195073 158465683068 160082679834 161021581182 161353177293 162299530239 168020663958 168689275524 170028079298 176021647956 177054032988 184876630246 186763126473 187377883308 196024107951 196804154778 203741592516 205358589282 206563038486 207454085091 208670824593 215137569724 216174642453 216399373652 218607530526 226894046211 237698524602 239585020829 249017501964 253033913286 255042118947 261365477268 264032471934 265581049482 276605446788 277314945369 278227766124 288232856604 290520418958 295206232167 302525394948 304926390146 308037883923 309844557729 320165359668 322043162364 322706354586 324599060478 327911295789 336041327916 340056158596 356547786903 369753260492 373526252946 376490747017 378698903891 392048215902 393608309556 410717178564 413126076972 414908170182 417341649186 432349284906 435780628437 437215061052 453788092422 457389585219 475397049204 479170041658 484059531879 486898590717 506067826572 510084237894 528064943868 531162098964 554629890738 560289379419 581040837916 588072323853 590412464334 595098277543 609852780292 616075767846 619689115458 645412709172 649198120956 655822591578 713095573806 718755062487 747052505892 752981494034 757397807782 765126356841 784096431804 829816340364 831944836107 834683298372 864698569812 871561256874 885618696501 907576184844 914779170438 924113651769 929533673187 958340083316 968119063758 973797181434 1016821466353 1020168475788 1067242365511 1109259781476 1120578758838 1129472241051 1136096711673 1176144647706 1180824928668 1190196555086 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6816580270038 7141179330516 7844051311866 7906305687357 8233012533942 8331375885602 8625060749844 9151393197177 9181516282092 9605181289599 9983338033284 10062570874818 10165250169459 10224870405057 10541740916476 10711768995774 11739666020621 12201857596236 12497063828403 12806908386132 12937591124766 13553666892612 13633160540076 15093856312227 15688102623732 15812611374714 16067653493661 16466025067884 16662751771204 18302786394354 18448046603833 19210362579198 20125141749636 20330500338918 20449740810114 21423537991548 23479332041242 23718917062071 24994127656806 25875182249532 27454179591531 28815543868797 30187712624454 31625222749428 32135306987322 35218998061863 36605572788708 36896093207666 37491191485209 38420725158396 40661000677836 40899481620228 45281568936681 46958664082484 47437834124142 49988255313612 54908359183062 55344139811499 57631087737594 60375425248908 64270613974644 70437996123726 71156751186213 73792186415332 74982382970418 90563137873362 94875668248284 105656994185589 109816718366124 110688279622998 112473574455627 115262175475188 129136326226831 140875992247452 142313502372426 149964765940836 166032419434497 181126275746724 211313988371178 221376559245996 224947148911254 258272652453662 284627004744852 316970982556767 332064838868994 387408978680493 422627976742356 449894297822508 498097258303491 516545304907324 633941965113534 664129677737988 774817957360986 996194516606982 1162226936041479 1267883930227068 1549635914721972 1992389033213964 2324453872082958 3486680808124437 4648907744165916 6973361616248874 13946723232497748
- Sum of all divisors σ(n): 48243330947481600
- Sum of proper divisors (its aliquot sum) s(n): 34296607714983852
- 13946723232497748 is an abundant number, because the sum of its proper divisors (34296607714983852) is greater than itself. Its abundance is 20349884482486104
Bases of 13946723232497748
- Binary: 1100011000110001111000100011000000110111000000010101002
- Hexadecimal: 0x318C788C0DC054
- Base-36: 3TBP87AWML0
Squares and roots of 13946723232497748
- 13946723232497748 squared (139467232324977482) is 194511088923892433014810825071504
- 13946723232497748 cubed (139467232324977483) is 2712792322873285980886355544858088956538618972992
-
The
square root of 13946723232497748 is 118096245.6325252871 -
The
cube root of 13946723232497748 is 240708.1125727675
Scales and comparisons
How big is 13946723232497748?- 13,946,723,232,497,748 seconds is equal to 443,462,658 years, 38 weeks, 5 days, 12 hours, 55 minutes, 48 seconds.
-
To count from 1 to 13,946,723,232,497,748 would take you about one billion, three hundred thirty million, three hundred eighty-seven thousand, nine hundred seventy-six 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 13946723232497748 cubic inches would be around 20059 feet tall.
Recreational maths with 13946723232497748
- 13946723232497748 backwards is 84779423232764931
- The number of decimal digits it has is: 17
- The sum of 13946723232497748's digits is 81
- More coming soon!
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"Number 13946723232497748 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 13946723232497748 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/13946723232497748/
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The information we have on file for 13946723232497748 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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