13188540149664
13,188,540,149,664 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13188540149664 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
13188540149664 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13188540149664:
25 × 3 × 112 × 17 × 37 × 61 × 127 × 233
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 17 × 37 × 61 × 127 × 233)See below for interesting mathematical facts about the number 13188540149664 from the Numbermatics database.
Names of 13188540149664
- Cardinal: 13188540149664 can be written as Thirteen trillion, one hundred eighty-eight billion, five hundred forty million, one hundred forty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3188540149664 × 1013
Factors of 13188540149664
Divisors of 13188540149664
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 37 44 48 51 61 66 68 74 88 96 102 111 121 122 127 132 136 148 176 183 187 204 222 233 242 244 254 264 272 296 352 363 366 374 381 407 408 444 466 484 488 508 528 544 561 592 629 671 699 726 732 748 762 814 816 888 932 968 976 1016 1037 1056 1122 1184 1221 1258 1342 1397 1398 1452 1464 1496 1524 1628 1632 1776 1864 1887 1936 1952 2013 2032 2057 2074 2159 2244 2257 2442 2516 2563 2684 2794 2796 2904 2928 2992 3048 3111 3256 3552 3728 3774 3872 3961 4026 4064 4114 4148 4191 4318 4477 4488 4514 4699 4884 5032 5126 5368 5588 5592 5808 5856 5984 6096 6171 6222 6477 6512 6771 6919 7381 7456 7548 7689 7747 7922 8052 8228 8296 8382 8621 8636 8954 8976 9028 9398 9768 10064 10252 10736 11176 11184 11407 11616 11883 12192 12342 12444 12954 13024 13431 13542 13838 14097 14213 14762 15096 15367 15378 15494 15844 16104 16456 16592 16764 17242 17272 17908 17952 18056 18796 19536 20128 20504 20757 21472 22143 22352 22368 22814 23241 23749 23766 24684 24827 24888 25863 25908 26862 27084 27676 28193 28194 28426 29524 29591 30192 30734 30756 30988 31688 32208 32912 33184 33528 34221 34484 34544 35816 36112 37592 38369 39072 41008 41514 42639 43571 44286 44704 45628 46101 46482 47498 47532 49368 49654 49776 51689 51726 51816 53724 54168 55352 56386 56388 56852 59048 59182 60384 61468 61512 61976 63376 64416 65824 67056 68442 68968 69088 71247 71632 72224 74481 75184 76109 76738 79883 82016 83028 84579 85217 85278 87142 88572 88773 91256 92202 92964 94831 94996 95064 98736 99308 99552 103378 103452 103632 107448 108336 110704 112772 112776 113704 115107 118096 118364 122936 123024 123952 125477 126752 130713 131699 134112 136884 137936 142494 143264 146557 148962 150368 152218 153476 155067 156343 159766 166056 169158 170434 170556 174284 177144 177546 182512 184404 185928 189662 189992 190128 197472 198616 206756 206904 207264 214896 216672 221408 225544 225552 227408 228327 230214 236192 236728 239649 241621 245872 246048 247904 250954 255651 261239 261426 263398 273097 273768 275872 284493 284988 286639 293114 297924 304436 306952 310134 312686 319532 325501 332112 338316 340868 341112 348568 354288 355092 365024 368808 371856 376431 379324 379984 380256 395097 397232 413512 413808 422059 429792 439671 451088 451104 454816 456654 460428 469029 473456 479281 479298 483242 491744 501908 503047 511302 522478 522852 525881 526796 546194 547536 568579 568986 569976 573278 586228 595848 608872 613904 620268 625372 639064 651002 664224 676632 681736 682224 697136 708576 710184 724863 737616 743712 752862 758648 759968 783717 790194 794464 819291 827024 827616 844118 859917 878713 879342 902176 913308 920856 937387 938058 946912 958562 958596 966484 976503 1003816 1006094 1022604 1043141 1044956 1045704 1051762 1053592 1092388 1094867 1095072 1137158 1137972 1139952 1146556 1172456 1191696 1217744 1227808 1240536 1250744 1266177 1278128 1302004 1353264 1363472 1364448 1394272 1420368 1437843 1448689 1449726 1475232 1505724 1509141 1517296 1567434 1577643 1580388 1612127 1638582 1654048 1688236 1705737 1719773 1719834 1757426 1758684 1805051 1826616 1841712 1874774 1876116 1917124 1917192 1932968 1953006 2007632 2012188 2045208 2086282 2089912 2091408 2103524 2107184 2184776 2189734 2274316 2275944 2279904 2293112 2344912 2383392 2435488 2481072 2501488 2532354 2556256 2604008 2636139 2657831 2706528 2726944 2812161 2840736 2875686 2897378 2899452 3011448 3018282 3034592 3129423 3134868 3153029 3155286 3160776 3224254 3277164 3284601 3376472 3411474 3439546 3439668 3514852 3517368 3580511 3610102 3653232 3683424 3749548 3752232 3834248 3834384 3865936 3906012 4015264 4024376 4090416 4172564 4179824 4182816 4207048 4214368 4346067 4369552 4379468 4548632 4551888 4586224 4642649 4689824 4836381 4872863 4962144 5002976 5064708 5159319 5208016 5272278 5315662 5415153 5533517 5624322 5751372 5784691 5794756 5798904 6022896 6036564 6258846 6269736 6306058 6310572 6321552 6448508 6554328 6569202 6752944 6822948 6879092 6879336 7029704 7034736 7161022 7220204 7306464 7499096 7504464 7668496 7668768 7731872 7812024 7973493 8048752 8180832 8345128 8359648 8414096 8692134 8739104 8758936 8939977 9097264 9103776 9172448 9285298 9459087 9665843 9672762 9745726 10129416 10318638 10416032 10544556 10631324 10741533 10830306 11067034 11248644 11502744 11569382 11589512 11597808 12043537 12045792 12073128 12517692 12539472 12612116 12621144 12643104 12897016 13108656 13138404 13505888 13645896 13758184 13758672 13927947 14059408 14069472 14322044 14440408 14618589 14998192 15008928 15336992 15624048 15935579 15946986 16097504 16600551 16690256 16828192 17354073 17384268 17517872 17733397 17879954 18194528 18570596 18612739 18918174 19331686 19345524 19491452 19855561 20258832 20637276 21089112 21262648 21483066 21660612 22134068 22497288 23005488 23138764 23179024 23195616 24087074 24146256 25035384 25078944 25224232 25242288 25794032 26217312 26276808 26819931 27291792 27516368 27517344 27855894 28118816 28644088 28880816 28997529 29236141 29237178 29996384 30685867 31248096 31871158 31893972 33201102 33380512 34683319 34708146 34768536 35035744 35466794 35759908 36130611 37141192 37225478 37836348 38663372 38691048 38982904 39711122 40517664 41274552 42178224 42525296 42966132 43321224 44268136 44994576 46010976 46277528 46358048 47806737 48174148 48292512 50070768 50448464 50484576 51588064 52553616 53200191 53601493 53639862 54583584 55032736 55711788 55838217 57288176 57761632 57995058 58472282 58474356 59566683 60868687 61371734 63631601 63742316 63787944 66402204 66786887 69366638 69416292 69537072 70933588 71519816 72261222 74282384 74450956 75672696 77326744 77382096 77965808 79422244 82549104 84356448 85050592 85932264 86642448 87708423 88536272 89989152 92057601 92555056 95613474 96348296 98339747 100141536 100896928 104049957 105107232 106400382 107202986 107279724 111423576 111676434 114576352 115990116 116944564 116948712 119133366 121737374 122743468 127263202 127484632 127575888 132478907 132804408 133573774 138733276 138832584 139074144 141867176 143039632 144522444 148564768 148901912 151345392 154653488 154764192 155931616 158844488 160804479 165098208 171864528 173284896 175416846 177072544 182606061 184115202 185110112 190894803 191226948 192696592 196679494 200360661 204740129 208099914 212800764 214405972 214559448 218411171 222847152 223352868 231980232 233889128 233897424 238266732 243474748 245486936 254526404 254969264 255151776 264957814 265608816 267147548 277466552 277665168 283734352 286079264 289044888 295019241 297803824 302690784 309306976 317688976 321608958 337544537 343729056 350833692 365212122 368230404 381789606 382453896 385393184 393358988 397436721 400721322 409480258 416199828 425601528 428811944 429118896 436822342 445694304 446705736 463960464 467778256 467794848 476533464 486949496 490973872 509052808 509938528 529915628 531217632 534295096 554933104 555330336 567468704 578089776 589616423 590038482 595607648 614220387 635377952 643217916 655233513 675089074 701667384 730424244 734655757 736460808 763579212 764907792 786717976 794873442 801442644 818960516 832399656 851203056 857623888 858237792 873644684 893411472 927920928 935556512 953066928 973898992 981947744 1012633611 1018105616 1059831256 1068590192 1081737217 1109866208 1135377079 1156179552 1179232846 1180076964 1228440774 1286435832 1310467026 1350178148 1403334768 1460848488 1469311514 1472921616 1527158424 1529815584 1573435952 1589746884 1602885288 1637921032 1664799312 1702406112 1715247776 1747289368 1768849269 1786822944 1906133856 1947797984 2025267222 2036211232 2119662512 2137180384 2163474434 2203967271 2252141419 2270754158 2358465692 2360153928 2456881548 2572871664 2620934052 2700356296 2806669536 2921696976 2938623028 2945843232 3054316848 3146871904 3179493768 3205770576 3245211651 3275842064 3329598624 3406131237 3494578736 3537698538 3712989907 4050534444 4239325024 4326948868 4407934542 4504282838 4541508316 4716931384 4720307856 4913763096 5145743328 5241868104 5400712592 5843393952 5877246056 6108633696 6358987536 6411541152 6490423302 6551684128 6756424257 6812262474 6989157472 7075397076 7425979814 8081213327 8101068888 8653897736 8815869084 9008565676 9083016632 9433862768 9440615712 9827526192 10483736208 10801425184 11138969721 11754492112 12489147869 12717975072 12980846604 13512848514 13624524948 14150794152 14851959628 16162426654 16202137776 17307795472 17631738168 18017131352 18166033264 18867725536 19655052384 20967472416 22277939442 23508984224 24243639981 24978295738 25961693208 27025697028 27249049896 28301588304 29703919256 32324853308 32404275552 34615590944 35263476336 36034262704 36332066528 37467443607 44555878884 48487279962 49956591476 51923386416 54051394056 54498099792 56603176608 59407838512 64649706616 70526952672 72068525408 74934887214 89111757768 96974559924 99913182952 103846772832 108102788112 108996199584 118815677024 129299413232 137380626559 149869774428 178223515536 193949119848 199826365904 216205576224 258598826464 274761253118 299739548856 356447031072 387898239696 399652731808 412141879677 549522506236 599479097712 775796479392 824283759354 1099045012472 1198958195424 1648567518708 2198090024944 3297135037416 4396180049888 6594270074832 13188540149664
- Sum of all divisors σ(n): 42572171206656
- Sum of proper divisors (its aliquot sum) s(n): 29383631056992
- 13188540149664 is an abundant number, because the sum of its proper divisors (29383631056992) is greater than itself. Its abundance is 16195090907328
Bases of 13188540149664
- Binary: 101111111110101100100100000000101111101000002
- Hexadecimal: 0xBFEB2402FA0
- Base-36: 4OAQCAC2O
Squares and roots of 13188540149664
- 13188540149664 squared (131885401496642) is 173937591279299323519312896
- 13188540149664 cubed (131885401496643) is 2293982906122885961432452856606285266944
-
The
square root of 13188540149664 is 3631602.9724715229 -
The
cube root of 13188540149664 is 23626.4737803717
Scales and comparisons
How big is 13188540149664?- 13,188,540,149,664 seconds is equal to 419,354 years, 40 weeks, 4 days, 14 hours, 54 minutes, 24 seconds.
-
To count from 1 to 13,188,540,149,664 would take you about one million, forty-eight thousand, three hundred eighty-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 13188540149664 cubic inches would be around 1968.9 feet tall.
Recreational maths with 13188540149664
- 13188540149664 backwards is 46694104588131
- The number of decimal digits it has is: 14
- The sum of 13188540149664's digits is 60
- More coming soon!
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The information we have on file for 13188540149664 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 13188540149664, math, Factors of 13188540149664, curriculum, school, college, exams, university, Prime factorization of 13188540149664, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, one hundred eighty-eight billion, five hundred forty million, one hundred forty-nine thousand, six hundred sixty-four.