13981738168320
13,981,738,168,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13981738168320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 832 divisors.
13981738168320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 13981738168320:
212 × 3 × 5 × 13 × 37 × 73 × 6481
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 37 × 73 × 6481)See below for interesting mathematical facts about the number 13981738168320 from the Numbermatics database.
Names of 13981738168320
- Cardinal: 13981738168320 can be written as Thirteen trillion, nine hundred eighty-one billion, seven hundred thirty-eight million, one hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.398173816832 × 1013
Factors of 13981738168320
Divisors of 13981738168320
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 37 39 40 48 52 60 64 65 73 74 78 80 96 104 111 120 128 130 146 148 156 160 185 192 195 208 219 222 240 256 260 292 296 312 320 365 370 384 390 416 438 444 480 481 512 520 555 584 592 624 640 730 740 768 780 832 876 888 949 960 962 1024 1040 1095 1110 1168 1184 1248 1280 1443 1460 1480 1536 1560 1664 1752 1776 1898 1920 1924 2048 2080 2190 2220 2336 2368 2405 2496 2560 2701 2847 2886 2920 2960 3072 3120 3328 3504 3552 3796 3840 3848 4096 4160 4380 4440 4672 4736 4745 4810 4992 5120 5402 5694 5772 5840 5920 6144 6240 6481 6656 7008 7104 7215 7592 7680 7696 8103 8320 8760 8880 9344 9472 9490 9620 9984 10240 10804 11388 11544 11680 11840 12288 12480 12962 13312 13505 14016 14208 14235 14430 15184 15360 15392 16206 16640 17520 17760 18688 18944 18980 19240 19443 19968 20480 21608 22776 23088 23360 23680 24960 25924 26624 27010 28032 28416 28470 28860 30368 30720 30784 32405 32412 33280 35040 35113 35520 37376 37888 37960 38480 38886 39936 40515 43216 45552 46176 46720 47360 49920 51848 53248 54020 56064 56832 56940 57720 60736 61440 61568 64810 64824 66560 70080 70226 71040 74752 75776 75920 76960 77772 79872 81030 84253 86432 91104 92352 93440 94720 97215 99840 103696 105339 108040 112128 113664 113880 115440 121472 123136 129620 129648 133120 140160 140452 142080 149504 151552 151840 153920 155544 159744 162060 168506 172864 175565 182208 184704 186880 189440 194430 199680 207392 210678 216080 224256 227328 227760 230880 239797 242944 246272 252759 259240 259296 266240 280320 280904 284160 299008 303680 307840 311088 324120 337012 345728 351130 364416 369408 373760 378880 388860 399360 414784 421265 421356 432160 448512 454656 455520 461760 473113 479594 485888 492544 505518 518480 518592 526695 560640 561808 568320 607360 615680 622176 648240 674024 691456 702260 719391 728832 738816 747520 757760 777720 798720 829568 842530 842712 864320 897024 911040 923520 946226 959188 971776 985088 1011036 1036960 1037184 1053390 1121280 1123616 1136640 1198985 1214720 1231360 1244352 1263795 1296480 1348048 1382912 1404520 1419339 1438782 1457664 1477632 1495040 1555440 1659136 1685060 1685424 1728640 1822080 1847040 1892452 1918376 1943552 1970176 2022072 2073920 2074368 2106780 2242560 2247232 2273280 2365565 2397970 2429440 2462720 2488704 2527590 2592960 2696096 2765824 2809040 2838678 2877564 2915328 2955264 3110880 3117361 3318272 3370120 3370848 3457280 3596955 3644160 3694080 3784904 3836752 3887104 4044144 4147840 4148736 4213560 4485120 4494464 4731130 4795940 4858880 4925440 4977408 5055180 5185920 5392192 5531648 5618080 5677356 5755128 5830656 5910528 6150469 6221760 6234722 6636544 6740240 6741696 6914560 7096695 7193910 7288320 7388160 7569808 7673504 8088288 8295680 8297472 8427120 8988928 9352083 9462260 9591880 9717760 9850880 9954816 10110360 10371840 10784384 11063296 11236160 11354712 11510256 11661312 12300938 12443520 12469444 13273088 13480480 13483392 13829120 14193390 14387820 14576640 14776320 15139616 15347008 15586805 16176576 16591360 16594944 16854240 17505181 17977856 18451407 18704166 18924520 19183760 19435520 19909632 20220720 20743680 21568768 22472320 22709424 23020512 24601876 24887040 24938888 26546176 26960960 26966784 27658240 28386780 28775640 29153280 29552640 30279232 30694016 30752345 31173610 32353152 33182720 33189888 33708480 35010362 35955712 36902814 37408332 37849040 38367520 39819264 40441440 41487360 43137536 44944640 45418848 46041024 46760415 49203752 49774080 49877776 52515543 53921920 53933568 55316480 56773560 57551280 58306560 60558464 61388032 61504690 62347220 64706304 66365440 67416960 70020724 71911424 73805628 74816664 75698080 76735040 79638528 80882880 82974720 86275072 87525905 89889280 90837696 92082048 92257035 93520830 98407504 99548160 99755552 105031086 107843840 107867136 113547120 115102560 121116928 122776064 123009380 124694440 129412608 132730880 134833920 140041448 143822848 147611256 149633328 151396160 153470080 161765760 165949440 172550144 175051810 179778560 181675392 184164096 184514070 187041660 196815008 199096320 199511104 210062172 215687680 215734272 227094240 227567353 230205120 242233856 245552128 246018760 249388880 258825216 262577715 269667840 280082896 295222512 299266656 302792320 306940160 323531520 345100288 350103620 359557120 363350784 368328192 369028140 374083320 393630016 398192640 399022208 420124344 431375360 431468544 454188480 455134706 460410240 484467712 491104256 492037520 498777760 517650432 525155430 539335680 560165792 590445024 598533312 605584640 613880320 647063040 682702059 700207240 719114240 726701568 736656384 738056280 748166640 787260032 798044416 840248688 862750720 908376960 910269412 920820480 968935424 982208512 984075040 997555520 1035300864 1050310860 1078671360 1120331584 1137836765 1180890048 1197066624 1211169280 1227760640 1294126080 1365404118 1400414480 1453403136 1473312768 1476112560 1496333280 1574520064 1596088832 1680497376 1725501440 1816753920 1820538824 1841640960 1937870848 1968150080 1995111040 2100621720 2157342720 2240663168 2275673530 2361780096 2394133248 2422338560 2455521280 2588252160 2730808236 2800828960 2906806272 2946625536 2952225120 2992666560 3149040128 3192177664 3360994752 3413510295 3633507840 3641077648 3683281920 3936300160 3990222080 4201243440 4481326336 4551347060 4723560192 4788266496 4844677120 4911042560 5176504320 5461616472 5601657920 5813612544 5904450240 5985333120 6298080256 6384355328 6721989504 6827020590 7267015680 7282155296 7366563840 7872600320 7980444160 8402486880 8962652672 9102694120 9447120384 9576532992 9689354240 10923232944 11203315840 11808900480 11970666240 12596160512 12768710656 13443979008 13654041180 14534031360 14564310592 14733127680 15745200640 15960888320 16804973760 17925305344 18205388240 18894240768 19153065984 21846465888 22406631680 23617800960 23941332480 25192321024 26887958016 27308082360 29068062720 29128621184 31490401280 31921776640 33609947520 35850610688 36410776480 37788481536 38306131968 43692931776 44813263360 47235601920 47882664960 53775916032 54616164720 58257242368 62980802560 63843553280 67219895040 71701221376 72821552960 75576963072 87385863552 89626526720 94471203840 95765329920 107551832064 109232329440 116514484736 125961605120 134439790080 145643105920 174771727104 179253053440 188942407680 191530659840 215103664128 218464658880 233028969472 268879580160 291286211840 349543454208 358506106880 377884815360 436929317760 466057938944 537759160320 582572423680 699086908416 873858635520 932115877888 1075518320640 1165144847360 1398173816832 1747717271040 2330289694720 2796347633664 3495434542080 4660579389440 6990869084160 13981738168320
- Sum of all divisors σ(n): 50164968787584
- Sum of proper divisors (its aliquot sum) s(n): 36183230619264
- 13981738168320 is an abundant number, because the sum of its proper divisors (36183230619264) is greater than itself. Its abundance is 22201492450944
Bases of 13981738168320
- Binary: 110010110111011000001000100101110000000000002
- Hexadecimal: 0xCB760897000
- Base-36: 4YF4DWOAO
Squares and roots of 13981738168320
- 13981738168320 squared (139817381683202) is 195489002207456308651622400
- 13981738168320 cubed (139817381683203) is 2733276043650784605573163543972282368000
-
The
square root of 13981738168320 is 3739216.2505423513 -
The
cube root of 13981738168320 is 24090.9386504201
Scales and comparisons
How big is 13981738168320?- 13,981,738,168,320 seconds is equal to 444,576 years, 1 week, 2 days, 5 hours, 52 minutes.
-
To count from 1 to 13,981,738,168,320 would take you about one million, one hundred eleven thousand, four hundred forty 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 13981738168320 cubic inches would be around 2007.6 feet tall.
Recreational maths with 13981738168320
- 13981738168320 backwards is 02386183718931
- 13981738168320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13981738168320's digits is 60
- More coming soon!
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"Number 13981738168320 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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The information we have on file for 13981738168320 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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