13038347836800
13,038,347,836,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13038347836800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
13038347836800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13038347836800:
27 × 32 × 52 × 112 × 134 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 13 × 13 × 13 × 13 × 131)See below for interesting mathematical facts about the number 13038347836800 from the Numbermatics database.
Names of 13038347836800
- Cardinal: 13038347836800 can be written as Thirteen trillion, thirty-eight billion, three hundred forty-seven million, eight hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30383478368 × 1013
Factors of 13038347836800
Divisors of 13038347836800
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 44 45 48 50 52 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 110 117 120 121 128 130 131 132 143 144 150 156 160 165 169 176 180 192 195 198 200 208 220 225 234 240 242 260 262 264 275 286 288 300 312 320 325 330 338 352 360 363 384 390 393 396 400 416 429 440 450 468 480 484 495 507 520 524 528 550 572 576 585 600 605 624 640 650 655 660 676 704 715 720 726 780 786 792 800 825 832 845 858 880 900 936 960 968 975 990 1014 1040 1048 1056 1089 1100 1144 1152 1170 1179 1200 1210 1248 1287 1300 1310 1320 1352 1408 1430 1440 1441 1452 1521 1560 1572 1573 1584 1600 1650 1664 1690 1703 1716 1760 1800 1815 1859 1872 1920 1936 1950 1965 1980 2028 2080 2096 2112 2145 2178 2197 2200 2288 2340 2358 2400 2420 2475 2496 2535 2574 2600 2620 2640 2704 2860 2880 2882 2904 2925 3025 3042 3120 3144 3146 3168 3200 3275 3300 3380 3406 3432 3520 3575 3600 3630 3718 3744 3872 3900 3930 3960 4056 4160 4192 4224 4225 4290 4323 4356 4394 4400 4576 4680 4716 4719 4800 4840 4950 4992 5070 5109 5148 5200 5240 5280 5408 5445 5577 5720 5760 5764 5808 5850 5895 6050 6084 6240 6288 6292 6336 6435 6550 6591 6600 6760 6812 6864 7040 7150 7200 7205 7260 7436 7488 7605 7744 7800 7860 7865 7920 8112 8320 8384 8450 8515 8580 8646 8712 8788 8800 9075 9152 9295 9360 9432 9438 9600 9680 9825 9900 10140 10218 10296 10400 10480 10560 10725 10816 10890 10985 11154 11440 11528 11616 11700 11790 12100 12168 12480 12576 12584 12672 12675 12870 12969 13100 13182 13200 13520 13624 13728 14157 14300 14400 14410 14520 14872 14976 15210 15327 15488 15600 15720 15730 15840 15851 16224 16731 16768 16900 17030 17160 17292 17424 17576 17600 18150 18304 18590 18720 18733 18864 18876 19360 19650 19773 19800 20280 20436 20449 20592 20800 20960 21120 21450 21615 21632 21780 21970 22139 22308 22880 23056 23232 23400 23580 23595 24167 24200 24336 24960 25152 25168 25350 25545 25740 25938 26200 26364 26400 27040 27225 27248 27456 27885 28314 28561 28600 28800 28820 29040 29475 29744 30420 30654 31200 31440 31460 31680 31702 32175 32448 32955 33462 33800 34060 34320 34584 34848 35152 35200 36025 36300 37180 37440 37466 37728 37752 38025 38720 39300 39325 39546 39600 40560 40872 40898 41184 41600 41920 42575 42900 43230 43560 43940 44278 44616 45760 46112 46464 46475 46800 47160 47190 47553 48334 48400 48672 50304 50336 50700 51090 51480 51876 52400 52728 52800 54080 54450 54496 54912 54925 55770 56199 56628 57122 57200 57640 58080 58950 59488 60840 61308 61347 62400 62880 62920 63360 63404 64350 64845 64896 65910 66417 66924 67600 68120 68640 69168 69696 70304 70785 72050 72501 72600 74360 74880 74932 75456 75504 76050 76635 77440 78600 78650 79092 79200 79255 81120 81744 81796 82368 83655 83840 85150 85683 85800 86460 87120 87880 88556 89232 91520 92224 92950 93600 93665 94320 94380 95106 96668 96800 97344 98865 100672 101400 102180 102245 102960 103752 104800 105456 105600 108075 108160 108900 108992 109850 110695 111540 112398 113256 114244 114400 115280 116160 117900 117975 118976 120835 121680 122616 122694 124800 125760 125840 126808 127725 128700 129690 131820 132834 133848 135200 136240 137280 138336 139392 139425 140608 141570 142659 142805 144100 145002 145200 148720 149864 150912 151008 152100 153270 157200 157300 158184 158400 158510 162240 163488 163592 164736 164775 167310 168597 170300 171366 171600 172920 174240 175760 177112 178464 184041 184448 185900 187200 187330 188640 188760 190212 193336 193600 194688 197730 199251 201344 202800 204360 204490 205920 206063 207504 209600 210912 216150 217503 217800 217984 219700 221390 223080 224796 226512 228488 228800 230560 232320 235800 235950 237765 237952 241670 243360 243529 245232 245388 251520 251680 253616 255450 257049 257400 259380 263640 265668 265837 267696 270400 272480 274560 276672 278850 280995 281216 283140 285318 285610 287807 288200 290004 290400 297440 299728 302016 304200 306540 306735 314171 314400 314600 316368 316800 317020 324225 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107152760 107902080 109588050 110517888 110588192 112244730 113101560 113971572 114127200 115122800 116001600 116893920 117786240 118692288 119626650 119727712 120546855 120641664 123469203 123637800 124411716 125668400 126635080 127520640 127601760 128583312 129513150 131880320 133940950 134693676 134877600 137092800 138147360 138235240 139201920 139298588 140272704 141376950 142464465 146117400 147232800 148365360 149659640 150802080 151962096 152169600 153122112 155514645 155858560 158293850 159400800 159502200 160729140 164511360 164625604 164850400 165776832 165882288 168367095 170135680 171444416 172684200 172794050 174002400 174123235 175340880 179591568 179836800 180962496 184196480 185456700 187074550 188502600 189952620 191402640 192874968 194823200 196310400 197820480 200911425 201069440 202616128 205639200 205782005 207221040 207352860 208947882 212534400 212669600 214305520 219176100 221176384 224489460 226203120 227943144 228254400 230245600 232003200 233787840 237384576 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584469600 588931200 593461440 598638560 602734275 603208320 607848384 617346015 622058580 626843646 633175400 637603200 638008800 642916560 658502416 659401600 663529152 673468380 690736800 691176200 696009600 696492940 701363520 712322325 718366272 740815218 741826800 748298200 754010400 759810480 765610560 771499872 777573225 779292800 803645700 822556800 823128020 828884160 829411440 835791528 841835475 850678400 857222080 870616175 876704400 897957840 904812480 905440822 911772576 920982400 949763100 957013200 964374840 987753624 989102400 995293728 1005347200 1013080640 1028666496 1028910025 1036105200 1036764300 1044739410 1071527600 1077549408 1105881920 1114388704 1122447300 1131015600 1139715720 1168939200 1186922880 1197277120 1205468550 1215696768 1234692030 1244117160 1253687292 1266350800 1276017600 1285833120 1317004832 1327058304 1346936760 1358161233 1381473600 1382352400 1392985880 1402727040 1424644650 1436732544 1481630436 1483653600 1496596400 1508020800 1519620960 1531221120 1542999744 1555146450 1567109115 1607291400 1646256040 1657768320 1658822880 1671583056 1683670950 1714444160 1741232350 1753408800 1795915680 1809624960 1810881644 1823545152 1852038045 1899526200 1914026400 1928749680 1975507248 1978204800 1990587456 2026161280 2057820050 2072210400 2073528600 2089478820 2143055200 2155098816 2211763840 2228777408 2244894600 2262031200 2263602055 2279431440 2337878400 2394554240 2410937100 2469384060 2488234320 2507374584 2532701600 2552035200 2571666240 2611848525 2634009664 2693873520 2716322466 2762947200 2764704800 2785971760 2849289300 2963260872 2967307200 2993192800 3016041600 3039241920 3085999488 3086730075 3110292900 3134218230 3214582800 3292512080 3317645760 3343166112 3367341900 3482464700 3506817600 3591831360 3621763288 3647090304 3704076090 3799052400 3828052800 3857499360 3951014496 3981174912 4074483699 4115640100 4144420800 4147057200 4178957640 4286110400 4310197632 4457554816 4489789200 4524062400 4527204110 4558862880 4821874200 4938768120 4976468640 5014749168 5065403200 5143332480 5223697050 5268019328 5387747040 5432644932 5529409600 5571943520 5698578600 5926521744 5934614400 5986385600 6078483840 6173460150 6220585800 6268436460 6429165600 6585024160 6635291520 6686332224 6734683800 6790806165 6964929400 7013635200 7183662720 7243526576 7408152180 7598104800 7656105600 7714998720 7835545575 7902028992 8148967398 8231280200 8288841600 8294114400 8357915280 8572220800 8979578400 9048124800 9054408220 9117725760 9260190225 9643748400 9877536240 9952937280 10029498336 10130806400 10447394100 10775494080 10865289864 11058819200 11143887040 11318010275 11397157200 11853043488 11972771200 12346920300 12441171600 12536872920 12858331200 13170048320 13372664448 13469367600 13581612330 13929858800 14487053152 14816304360 15196209600 15429997440 15671091150 15804057984 16297934796 16462560400 16588228800 16715830560 17959156800 18108816440 18235451520 18520380450 19287496800 19755072480 19905874560 20058996672 20372418495 20894788200 21550988160 21730579728 22287774080 22636020550 22794314400 23706086976 24693840600 24882343200 25073745840 25716662400 26340096640 26938735200 27163224660 27859717600 28974106304 29632608720 30392419200 31342182300 32595869592 32925120800 33176457600 33431661120 33954030825 35918313600 36217632880 37040760900 38574993600 39510144960 40117993344 40744836990 41789576400 43461159456 45272041100 45588628800 47412173952 49387681200 49764686400 50147491680 53877470400 54326449320 55719435200 57948212608 59265217440 62684364600 65191739184 65850241600 66863322240 67908061650 72435265760 74081521800 77149987200 79020289920 81489673980 83579152800 86922318912 90544082200 91177257600 98775362400 99529372800 100294983360 101862092475 107754940800 108652898640 111438870400 118530434880 125368729200 130383478368 131700483200 135816123300 144870531520 148163043600 162979347960 167158305600 173844637824 181088164400 197550724800 200589966720 203724184950 217305797280 237060869760 250737458400 260766956736 271632246600 289741063040 296326087200 325958695920 334316611200 362176328800 395101449600 407448369900 434611594560 501474916800 521533913472 543264493200 592652174400 651917391840 724352657600 814896739800 869223189120 1002949833600 1086528986400 1185304348800 1303834783680 1448705315200 1629793479600 2173057972800 2607669567360 3259586959200 4346115945600 6519173918400 13038347836800
- Sum of all divisors σ(n): 55821968141940
- Sum of proper divisors (its aliquot sum) s(n): 42783620305140
- 13038347836800 is an abundant number, because the sum of its proper divisors (42783620305140) is greater than itself. Its abundance is 29745272468340
Bases of 13038347836800
- Binary: 101111011011101110100001011101011101100000002
- Hexadecimal: 0xBDBBA175D80
- Base-36: 4MDQFNTS0
Squares and roots of 13038347836800
- 13038347836800 squared (130383478368002) is 169998514313387239434240000
- 13038347836800 cubed (130383478368003) is 2216499761357166350558146759852032000000
-
The
square root of 13038347836800 is 3610865.2476657171 -
The
cube root of 13038347836800 is 23536.4443344105
Scales and comparisons
How big is 13038347836800?- 13,038,347,836,800 seconds is equal to 414,579 years, 6 weeks, 5 days, 16 hours.
-
To count from 1 to 13,038,347,836,800 would take you about one million, thirty-six 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 13038347836800 cubic inches would be around 1961.4 feet tall.
Recreational maths with 13038347836800
- 13038347836800 backwards is 00863874383031
- The number of decimal digits it has is: 14
- The sum of 13038347836800's digits is 54
- More coming soon!
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"Number 13038347836800 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 13038347836800 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13038347836800/
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The information we have on file for 13038347836800 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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