13338624735072
13,338,624,735,072 is an even composite number composed of six prime numbers multiplied together.
What does the number 13338624735072 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13338624735072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13338624735072:
25 × 33 × 72 × 13 × 173 × 4933
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 17 × 17 × 17 × 4933)See below for interesting mathematical facts about the number 13338624735072 from the Numbermatics database.
Names of 13338624735072
- Cardinal: 13338624735072 can be written as Thirteen trillion, three hundred thirty-eight billion, six hundred twenty-four million, seven hundred thirty-five thousand and seventy-two.
Scientific notation
- Scientific notation: 1.3338624735072 × 1013
Factors of 13338624735072
Divisors of 13338624735072
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 32 34 36 39 42 48 49 51 52 54 56 63 68 72 78 84 91 96 98 102 104 108 112 117 119 126 136 144 147 153 156 168 182 189 196 204 208 216 221 224 234 238 252 272 273 288 289 294 306 312 336 351 357 364 378 392 408 416 432 441 442 459 468 476 504 544 546 578 588 612 624 637 663 672 702 714 728 756 784 816 819 833 864 867 882 884 918 936 952 1008 1071 1092 1156 1176 1224 1248 1274 1323 1326 1404 1428 1456 1512 1547 1568 1632 1638 1666 1734 1764 1768 1836 1872 1904 1911 1989 2016 2023 2142 2184 2312 2352 2448 2457 2499 2548 2601 2646 2652 2808 2856 2912 3024 3094 3213 3276 3332 3468 3528 3536 3672 3744 3757 3808 3822 3978 4046 4284 4368 4624 4641 4704 4896 4913 4914 4933 4998 5096 5202 5292 5304 5616 5712 5733 5967 6048 6069 6188 6426 6552 6664 6936 7056 7072 7344 7497 7514 7644 7803 7956 8092 8568 8736 9248 9282 9826 9828 9866 9996 10192 10404 10584 10608 10829 11232 11271 11424 11466 11934 12138 12376 12852 13104 13328 13872 13923 14112 14161 14688 14739 14799 14994 15028 15288 15606 15912 16184 17136 17199 18207 18564 19652 19656 19732 19992 20384 20808 21168 21216 21658 22491 22542 22932 23868 24276 24752 25704 26208 26299 26656 27744 27846 28322 29478 29598 29988 30056 30576 31212 31824 32368 32487 33813 34272 34391 34398 34531 36414 37128 39304 39312 39464 39984 41616 41769 42336 42483 43316 44217 44397 44982 45084 45864 47736 48552 49504 51408 52598 54621 55692 56644 58956 59196 59976 60112 61152 62424 63648 63869 64129 64736 64974 67626 68782 68796 69062 72828 74256 78608 78624 78897 78928 79968 83232 83538 83861 84966 86632 88434 88794 89964 90168 91728 95472 97104 97461 101439 102816 103173 103593 105196 109242 111384 113288 117912 118392 119952 120224 124848 127449 127738 128258 129948 132651 133191 135252 137564 137592 138124 145656 148512 157216 157794 157856 167076 167722 169932 173264 176868 177588 179928 180336 183456 184093 190944 191607 192387 194208 194922 202878 206346 207186 210392 218484 222768 226576 235824 236691 236784 239904 240737 241717 249696 251583 254898 255476 256516 259896 265302 266382 270504 275128 275184 276248 291312 292383 309519 310779 315588 334152 335444 339864 346528 353736 355176 359856 360672 368186 382347 383214 384774 389844 405756 412692 414372 420784 436968 445536 447083 448903 453152 471648 473382 473568 481474 483434 503166 509796 510952 513032 519792 530604 532764 541008 550256 550368 552279 552496 574821 577161 582624 584766 587027 619038 621558 631176 668304 670888 679728 707472 710073 710352 719712 722211 725151 736372 754749 764694 766428 769548 779688 811512 825384 828744 841568 873936 894166 897806 928557 932337 946764 962948 966868 1006332 1019592 1021904 1026064 1039584 1061208 1065528 1082016 1090193 1100512 1104558 1104992 1149642 1154322 1169532 1174054 1238076 1243116 1262352 1336608 1341249 1341776 1346709 1359456 1414944 1420146 1420704 1425637 1444422 1450302 1472744 1509498 1529388 1532856 1539096 1559376 1623024 1650768 1656837 1657488 1724463 1731483 1747872 1761081 1788332 1795612 1857114 1864674 1893528 1925896 1933736 2012664 2039184 2043808 2052128 2122416 2131056 2166633 2175453 2180386 2209116 2264247 2299284 2308644 2339064 2348108 2476152 2486232 2524704 2682498 2683552 2693418 2840292 2851274 2888844 2900604 2945488 3018996 3058776 3065712 3078192 3118752 3129581 3142321 3246048 3270579 3301536 3313674 3314976 3448926 3462966 3522162 3576664 3591224 3714228 3729348 3787056 3851792 3867472 4023747 4025328 4040127 4078368 4109189 4244832 4262112 4276911 4333266 4350906 4360772 4418232 4528494 4598568 4617288 4678128 4696216 4952304 4970511 4972464 5283243 5364996 5386836 5680584 5702548 5777688 5801208 5890976 6037992 6117552 6131424 6156384 6259162 6284642 6499899 6526359 6541158 6627348 6897852 6925932 7044324 7153328 7182448 7428456 7458696 7574112 7631351 7703584 7734944 8047494 8050656 8080254 8218378 8553822 8666532 8701812 8721544 8836464 9056988 9197136 9234576 9356256 9388743 9392432 9426963 9811737 9904608 9941022 9944928 9979459 10566486 10729992 10773672 11361168 11405096 11555376 11602416 12071241 12075984 12120381 12235104 12327567 12518324 12569284 12830733 12999798 13052718 13082316 13254696 13795704 13851864 14088648 14306656 14364896 14856912 14917392 15262702 15849729 16094988 16160508 16436756 17107644 17333064 17403624 17443088 17672928 18113976 18394272 18469152 18533281 18777486 18784864 18853926 19623474 19882044 19958918 21132972 21459984 21547344 22722336 22810192 22894053 23110752 23204832 24142482 24151968 24235829 24240762 24655134 25036648 25138568 25661466 25999596 26105436 26164632 26509392 27591408 27703728 28166229 28177296 28280889 29435211 29713824 29834784 29938377 30525404 31699458 32189976 32321016 32873512 34215288 34666128 34807248 34886176 36227952 36982701 37066562 37554972 37707852 38492199 39246948 39764088 39917836 42265944 42919968 43094688 45620384 45788106 48284964 48471658 48481524 49310268 50073296 50277136 51322932 51999192 52210872 52329264 53018784 53419457 55182816 55407456 55599843 56332458 56354592 56561778 58870422 59876754 61050808 63398916 64379952 64642032 65747024 68430576 68682159 69332256 69614496 69856213 72455904 72707487 73965402 74133124 75109944 75415704 76984398 78493896 79528176 79835672 84498687 84531888 84842667 89815131 91576212 96569928 96943316 96963048 98620536 100146592 100554272 102645864 103998384 104421744 104658528 106838914 110948103 111199686 112664916 113123556 117740844 119753508 122101616 126797832 128759904 129284064 129732967 131494048 136861152 137364318 139712426 145414974 147930804 148266248 150219888 150831408 153968796 156987792 159056352 159671344 160258371 166799529 168997374 169063776 169650803 169685334 179630262 183152424 193139856 193886632 193926096 197241072 205291728 206046477 207996768 208843488 209568639 213677828 218122461 221896206 222399372 225329832 226247112 235481688 239507016 244203232 253595664 259465934 269445393 274728636 279424852 290829948 295861608 296532496 300439776 301662816 307937592 313975584 315065777 319342688 320516742 333599058 337994748 339301606 339370668 359260524 366304848 386279712 387773264 387852192 389198901 394482144 410583456 412092954 419137278 427355656 436244922 443792412 444798744 450659664 452494224 470963376 479014032 480775113 500398587 507191328 508952409 518931868 538890786 549457272 558849704 581659896 591723216 593064992 615875184 628705917 630131554 641033484 654367383 667198116 675989496 678603212 678741336 718521048 732609696 775546528 778397802 824185908 838274556 854711312 872489844 887584824 889597488 901319328 904988448 908130769 941926752 945197331 958028064 961550226 1000797174 1017904818 1037863736 1077781572 1098914544 1117699408 1163319792 1167596703 1183446432 1187555621 1231750368 1257411834 1260263108 1282066968 1308734766 1334396232 1351978992 1357206424 1357482672 1437042096 1442325339 1526857227 1556795604 1648371816 1676549112 1709422624 1744979688 1775169648 1779194976 1816261538 1886117751 1890394662 1923100452 2001594348 2035809636 2075727472 2155563144 2197829088 2205460439 2235398816 2326639584 2335193406 2375111242 2514823668 2520526216 2564133936 2617469532 2668792464 2703957984 2714412848 2714965344 2724392307 2835591993 2874084192 2884650678 3053714454 3113591208 3296743632 3353098224 3489959376 3502790109 3550339296 3562666863 3632523076 3772235502 3780789324 3846200904 4003188696 4071619272 4151454944 4311126288 4410920878 4580571681 4670386812 4750222484 5029647336 5041052432 5128267872 5234939064 5337584928 5428825696 5448784614 5671183986 5769301356 6107428908 6227182416 6593487264 6616381317 6706196448 6979918752 7005580218 7125333726 7265046152 7544471004 7561578648 7692401808 8006377392 8143238544 8173176921 8506775979 8622252576 8821841756 9161143362 9340773624 9500444968 10059294672 10082104864 10469878128 10688000589 10897569228 11342367972 11538602712 12214857816 12454364832 13232762634 14011160436 14250667452 14530092304 15088942008 15123157296 15384803616 15438223073 16012754784 16286477088 16346353842 17013551958 17643683512 18322286724 18681547248 19000889936 19849143951 20118589344 20939756256 21376001178 21795138456 22684735944 23077205424 24429715632 24519530763 26465525268 28022320872 28501334904 29060184608 30177884016 30246314592 30876446146 32064001767 32692707684 34027103916 35287367024 36644573448 37363094496 38001779872 39698287902 42752002356 43590276912 45369471888 46154410848 46314669219 48859431264 49039061526 52931050536 56044641744 57002669808 59547431853 60355768032 61752892292 64128003534 65385415368 68054207832 70574734048 73289146896 79396575804 85504004712 87180553824 90738943776 92629338438 98078123052 105862101072 112089283488 114005339616 119094863706 123505784584 128256007068 130770830736 136108415664 138944007657 146578293792 158793151608 171008009424 185258676876 196156246104 211724202144 238189727412 247011569168 256512014136 261541661472 272216831328 277888015314 317586303216 342016018848 370517353752 392312492208 416832022971 476379454824 494023138336 513024028272 555776030628 635172606432 741034707504 784624984416 833664045942 952758909648 1026048056544 1111552061256 1482069415008 1667328091884 1905517819296 2223104122512 3334656183768 4446208245024 6669312367536 13338624735072
- Sum of all divisors σ(n): 51793240060800
- Sum of proper divisors (its aliquot sum) s(n): 38454615325728
- 13338624735072 is an abundant number, because the sum of its proper divisors (38454615325728) is greater than itself. Its abundance is 25115990590656
Bases of 13338624735072
- Binary: 110000100001101000111111110100110111011000002
- Hexadecimal: 0xC21A3FD3760
- Base-36: 4Q7OGRVC0
Squares and roots of 13338624735072
- 13338624735072 squared (133386247350722) is 177918909823074582186845184
- 13338624735072 cubed (133386247350723) is 2373193571403107257214504932835479093248
-
The
square root of 13338624735072 is 3652208.1998527959 -
The
cube root of 13338624735072 is 23715.7584403061
Scales and comparisons
How big is 13338624735072?- 13,338,624,735,072 seconds is equal to 424,127 years, 2 days, 17 hours, 31 minutes, 12 seconds.
-
To count from 1 to 13,338,624,735,072 would take you about one million, sixty thousand, three hundred seventeen 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 13338624735072 cubic inches would be around 1976.3 feet tall.
Recreational maths with 13338624735072
- 13338624735072 backwards is 27053742683331
- 13338624735072 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13338624735072's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 13338624735072 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13338624735072/
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The information we have on file for 13338624735072 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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