13681942301798400
13,681,942,301,798,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13681942301798400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1872 divisors.
13681942301798400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 13681942301798400:
212 × 3 × 52 × 72 × 181 × 1061 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 181 × 1061 × 4733)See below for interesting mathematical facts about the number 13681942301798400 from the Numbermatics database.
Names of 13681942301798400
- Cardinal: 13681942301798400 can be written as Thirteen quadrillion, six hundred eighty-one trillion, nine hundred forty-two billion, three hundred one million, seven hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.36819423017984 × 1016
Factors of 13681942301798400
Divisors of 13681942301798400
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 140 147 150 160 168 175 181 192 196 200 210 224 240 245 256 280 294 300 320 336 350 362 384 392 400 420 448 480 490 512 525 543 560 588 600 640 672 700 724 735 768 784 800 840 896 905 960 980 1024 1050 1061 1086 1120 1176 1200 1225 1267 1280 1344 1400 1448 1470 1536 1568 1600 1680 1792 1810 1920 1960 2048 2100 2122 2172 2240 2352 2400 2450 2534 2560 2688 2715 2800 2896 2940 3072 3136 3183 3200 3360 3584 3620 3675 3801 3840 3920 4096 4200 4244 4344 4480 4525 4704 4733 4800 4900 5068 5120 5305 5376 5430 5600 5792 5880 6144 6272 6335 6366 6400 6720 7168 7240 7350 7427 7602 7680 7840 8400 8488 8688 8869 8960 9050 9408 9466 9600 9800 10136 10240 10610 10752 10860 11200 11584 11760 12288 12544 12670 12732 12800 13440 13575 14199 14336 14480 14700 14854 15204 15360 15680 15915 16800 16976 17376 17738 17920 18100 18816 18932 19005 19200 19600 20272 20480 21220 21504 21720 22281 22400 23168 23520 23665 25088 25340 25464 25600 26525 26607 26880 27150 28398 28672 28960 29400 29708 30408 30720 31360 31675 31830 33131 33600 33952 34752 35476 35840 36200 37135 37632 37864 38010 38400 39200 40544 42440 43008 43440 44345 44562 44800 46336 47040 47330 50176 50680 50928 51200 51989 53050 53214 53760 54300 56796 57920 58800 59416 60816 61440 62720 63350 63660 66262 67200 67904 69504 70952 70995 71680 72400 74270 75264 75728 76020 76800 78400 79575 81088 84880 86016 86880 88690 89124 89600 92672 94080 94660 95025 99393 100352 101360 101856 102400 103978 106100 106428 107520 108600 111405 113592 115840 117600 118325 118832 121632 125440 126700 127320 132524 133035 134400 135808 139008 141904 141990 143360 144800 148540 150528 151456 152040 153600 155967 156800 159150 162176 165655 169760 173760 177380 178248 179200 185344 185675 188160 189320 190050 192041 198786 200704 202720 203712 207956 212200 212856 215040 217200 221725 222810 227184 231680 231917 235200 236650 237664 243264 250880 253400 254640 259945 265048 266070 268800 271616 278016 283808 283980 289600 297080 301056 302912 304080 307200 311934 313600 318300 324352 331310 339520 347520 354760 354975 356496 358400 370688 371350 376320 378640 380100 384082 397572 405440 407424 415912 424400 425712 430080 434400 443450 445620 454368 463360 463834 470400 473300 475328 486528 496965 501760 506800 509280 519890 530096 532140 537600 543232 556032 557025 567616 567960 576123 579200 594160 602112 605824 608160 623868 627200 636600 648704 662620 665175 679040 695040 695751 709520 709950 712992 716800 741376 742700 752640 757280 760200 768164 779835 795144 810880 814848 828275 831824 848800 851424 856673 868800 886900 891240 908736 926720 927668 940800 946600 950656 960205 973056 993930 1003520 1013600 1018560 1039780 1060192 1064280 1075200 1086464 1112064 1114050 1135232 1135920 1152246 1158400 1159585 1188320 1211648 1216320 1247736 1254400 1273200 1297408 1299725 1325240 1330350 1344287 1358080 1390080 1391502 1419040 1419900 1425984 1485400 1505280 1514560 1520400 1536328 1559670 1590288 1621760 1629696 1656550 1663648 1697600 1702848 1713346 1737600 1773800 1782480 1817472 1853440 1855336 1881600 1893200 1901312 1920410 1946112 1987860 2027200 2037120 2079560 2120384 2128560 2150400 2172928 2224128 2228100 2270464 2271840 2304492 2316800 2319170 2376640 2423296 2432640 2484825 2495472 2508800 2546400 2570019 2594816 2599450 2650480 2660700 2688574 2716160 2780160 2783004 2838080 2839800 2851968 2880615 2970800 3010560 3029120 3040800 3072656 3119340 3180576 3243520 3259392 3313100 3327296 3395200 3405696 3426692 3475200 3478755 3547600 3564960 3634944 3706880 3710672 3763200 3786400 3802624 3840820 3892224 3899175 3975720 4032861 4054400 4074240 4159120 4240768 4257120 4283365 4345856 4456200 4540928 4543680 4608984 4633600 4638340 4753280 4801025 4846592 4865280 4969650 4990944 5017600 5021713 5092800 5140038 5189632 5198900 5300960 5321400 5377148 5432320 5560320 5566008 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72268869120 72714404240 73687584768 73819181100 76350124452 76757900800 77133511680 78740459840 80595795840 82592993280 84364778400 85968848896 87257285088 87723315200 89075145194 89989096960 90336086400 90893005300 92109480960 94488551808 95437655565 96358492160 96416889600 98425574800 100744744800 101800165936 102844682240 103241241600 107461061120 107986916352 109071606360 112486371200 115136851200 115630190592 116343046784 118110689760 120448115200 122812641280 125984735744 127250207420 128555852800 128953273344 131584972800 133612717791 134326326400 134983645440 136339507950 137654988800 143982555136 144537738240 145428808480 147638362200 152700248904 153515801600 154267023360 157480919680 159062759275 161191591680 168729556800 171937697792 174514570176 178150290388 179978193920 180672172800 181786010600 184218961920 188977103616 190875311130 192716984320 192833779200 196851149600 201489489600 203600331872 206482483200 214922122240 215973832704 218143212720 222687862985 224972742400 230273702400 232686093568 236221379520 240896230400 251969471488 254500414840 257111705600 257906546688 263169945600 267225435582 268652652800 269967290880 272679015900 289075476480 290857616960 295276724400 305400497808 307031603200 308534046720 314961839360 318125518550 322383183360 337459113600 349029140352 356300580776 359956387840 361344345600 363572021200 368437923840 377954207232 381750622260 385667558400 393702299200 402978979200 407200663744 412964966400 429844244480 431947665408 436286425440 445375725970 449945484800 460547404800 465372187136 472442759040 477188277825 481792460800 503938942976 509000829680 514223411200 515813093376 534450871164 537305305600 539934581760 545358031800 578150952960 581715233920 590553448800 610800995616 614063206400 629923678720 636251037100 644766366720 668063588955 674918227200 698058280704 712601161552 719912775680 722688691200 727144042400 755908414464 763501244520 771335116800 787404598400 805957958400 814401327488 859688488960 872572850880 890751451940 899890969600 921094809600 930744374272 944885518080 954376555650 963584921600 1007877885952 1018001659360 1068901742328 1074610611200 1079869163520 1090716063600 1113439314925 1163430467840 1181106897600 1221601991232 1259847357440 1272502074200 1289532733440 1336127177910 1349836454400 1396116561408 1425202323104 1445377382400 1454288084800 1511816828928 1527002489040 1542670233600 1574809196800 1611915916800 1628802654976 1745145701760 1781502903880 1799781939200 1842189619200 1861488748544 1889771036160 1908753111300 2036003318720 2137803484656 2149221222400 2159738327040 2181432127200 2226878629850 2326860935680 2362213795200 2443203982464 2519694714880 2545004148400 2579065466880 2672254355820 2699672908800 2792233122816 2850404646208 2890754764800 2908576169600 3023633657856 3054004978080 3149618393600 3223831833600 3257605309952 3340317944775 3490291403520 3563005807760 3599563878400 3722977497088 3779542072320 3817506222600 4072006637440 4275606969312 4298442444800 4362864254400 4453757259700 4653721871360 4724427590400 4886407964928 5039389429760 5090008296800 5344508711640 5399345817600 5584466245632 5700809292416 5817152339200 6108009956160 6299236787200 6447663667200 6515210619904 6680635889550 6980582807040 7126011615520 7559084144640 7635012445200 8144013274880 8551213938624 8725728508800 8907514519400 9307443742720 9448855180800 9772815929856 10180016593600 10689017423280 10798691635200 11168932491264 11401618584832 11634304678400 12216019912320 12598473574400 12895327334400 13030421239808 13361271779100 13961165614080 14252023231040 15118168289280 15270024890400 16288026549760 17102427877248 17451457017600 17815029038800 18614887485440 18897710361600 19545631859712 20360033187200 21378034846560 22803237169664 23268609356800 24432039824640 25196947148800 26060842479616 26722543558200 27922331228160 28504046462080 30540049780800 32576053099520 34204855754496 34902914035200 35630058077600 37795420723200 39091263719424 40720066374400 42756069693120 45606474339328 46537218713600 48864079649280 53445087116400 55844662456320 57008092924160 61080099561600 65152106199040 68409711508992 69805828070400 71260116155200 75590841446400 78182527438848 81440132748800 85512139386240 91212948678656 93074437427200 97728159298560 106890174232800 114016185848320 122160199123200 130304212398080 136819423017984 139611656140800 142520232310400 162880265497600 171024278772480 182425897357312 195456318597120 213780348465600 228032371696640 244320398246400 273638846035968 279223312281600 285040464620800 325760530995200 342048557544960 390912637194240 427560696931200 456064743393280 488640796492800 547277692071936 570080929241600 651521061990400 684097115089920 855121393862400 912129486786560 977281592985600 1140161858483200 1368194230179840 1710242787724800 1954563185971200 2280323716966400 2736388460359680 3420485575449600 4560647433932800 6840971150899200 13681942301798400
- Sum of all divisors σ(n): 52973372783586528
- Sum of proper divisors (its aliquot sum) s(n): 39291430481788128
- 13681942301798400 is an abundant number, because the sum of its proper divisors (39291430481788128) is greater than itself. Its abundance is 25609488179989728
Bases of 13681942301798400
- Binary: 1100001001101110100111011011101011110001110000000000002
- Hexadecimal: 0x309BA76EBC7000
- Base-36: 3QPUDIT7ITC
Squares and roots of 13681942301798400
- 13681942301798400 squared (136819423017984002) is 187195545149740500067874242560000
- 13681942301798400 cubed (136819423017984003) is 2561198647892446850299094785684189325819904000000
-
The
square root of 13681942301798400 is 116969835.0079985365 -
The
cube root of 13681942301798400 is 239175.0746635291
Scales and comparisons
How big is 13681942301798400?- 13,681,942,301,798,400 seconds is equal to 435,043,444 years, 8 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 13,681,942,301,798,400 would take you about one billion, three hundred five million, one hundred thirty thousand, three hundred thirty-two 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 13681942301798400 cubic inches would be around 19931.3 feet tall.
Recreational maths with 13681942301798400
- 13681942301798400 backwards is 00489710324918631
- The number of decimal digits it has is: 17
- The sum of 13681942301798400's digits is 66
- More coming soon!
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"Number 13681942301798400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 13681942301798400 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/13681942301798400/
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Numbermatics. 2024. "Number 13681942301798400 - Facts about the integer". https://numbermatics.com/n/13681942301798400/
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