13730144964480
13,730,144,964,480 is an even composite number composed of eight prime numbers multiplied together.
13730144964480 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13730144964480:
27 × 32 × 5 × 7 × 312 × 37 × 61 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 31 × 31 × 37 × 61 × 157)See below for interesting mathematical facts about the number 13730144964480 from the Numbermatics database.
Names of 13730144964480
- Cardinal: 13730144964480 can be written as Thirteen trillion, seven hundred thirty billion, one hundred forty-four million, nine hundred sixty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.373014496448 × 1013
Factors of 13730144964480
Divisors of 13730144964480
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 37 40 42 45 48 56 60 61 62 63 64 70 72 74 80 84 90 93 96 105 111 112 120 122 124 126 128 140 144 148 155 157 160 168 180 183 185 186 192 210 217 222 224 240 244 248 252 259 279 280 288 296 305 310 314 315 320 333 336 360 366 370 372 384 420 427 434 444 448 465 471 480 488 496 504 518 549 555 558 560 576 592 610 620 628 630 640 651 666 672 720 732 740 744 777 785 840 854 868 888 896 915 930 942 960 961 976 992 1008 1036 1085 1098 1099 1110 1116 1120 1147 1152 1184 1220 1240 1256 1260 1281 1295 1302 1332 1344 1395 1413 1440 1464 1480 1488 1554 1570 1665 1680 1708 1736 1776 1830 1860 1884 1891 1920 1922 1952 1953 1984 2016 2072 2135 2170 2196 2198 2220 2232 2240 2257 2294 2331 2355 2368 2440 2480 2512 2520 2562 2590 2604 2664 2688 2745 2790 2826 2880 2883 2928 2960 2976 3108 3140 3255 3297 3330 3360 3416 3441 3472 3552 3660 3720 3768 3782 3843 3844 3885 3904 3906 3968 4032 4144 4270 4340 4392 4396 4440 4464 4480 4514 4588 4662 4710 4736 4805 4867 4880 4960 5024 5040 5124 5180 5208 5328 5490 5495 5580 5652 5673 5735 5760 5766 5809 5856 5920 5952 6216 6280 6405 6510 6594 6660 6720 6727 6771 6832 6882 6944 7065 7104 7320 7440 7536 7564 7686 7688 7770 7808 7812 8029 8064 8288 8540 8649 8680 8784 8792 8880 8928 9028 9176 9324 9420 9455 9577 9610 9734 9760 9765 9891 9920 10048 10080 10248 10323 10360 10416 10656 10980 10990 11160 11285 11304 11346 11470 11532 11618 11655 11712 11840 11904 12432 12560 12810 13020 13188 13237 13320 13440 13454 13542 13664 13764 13888 14130 14208 14415 14601 14640 14880 15072 15128 15372 15376 15540 15624 15799 16058 16485 16576 17019 17080 17205 17298 17360 17427 17568 17584 17760 17856 18056 18352 18648 18840 18910 19154 19215 19220 19468 19520 19530 19782 19840 20096 20160 20181 20313 20496 20646 20720 20832 21312 21960 21980 22320 22570 22608 22692 22940 23064 23236 23310 23424 23680 24087 24335 24864 25120 25620 26040 26376 26474 26640 26908 27084 27328 27528 27776 28260 28365 28731 28830 29045 29202 29280 29760 30144 30256 30744 30752 31080 31248 31598 32116 32970 33152 33635 33855 34038 34069 34160 34410 34596 34720 34854 35136 35168 35520 35557 35712 36112 36704 37296 37680 37820 38308 38430 38440 38936 39040 39060 39564 39711 40145 40320 40362 40626 40663 40992 41292 41440 41664 42624 43245 43803 43920 43960 44640 45140 45216 45384 45880 46128 46472 46620 47397 47885 48174 48670 49455 49728 50240 51240 51615 52080 52281 52752 52948 53280 53816 54168 54656 55056 56520 56730 57462 57660 58090 58404 58560 58621 59520 60288 60512 60543 61488 61504 62160 62496 63196 64232 65940 66185 67039 67270 67710 68076 68138 68320 68820 69192 69440 69708 69967 70272 70336 71040 71114 72224 72261 73005 73408 74592 75360 75640 76616 76860 76880 77872 78120 78995 79128 79422 80290 80724 81252 81326 81984 82584 82880 83328 85095 86193 86490 87135 87606 87840 87920 89280 90280 90432 90768 91760 92256 92944 93240 94794 95770 96348 97340 98910 99456 100480 100905 101565 102207 102480 103230 104160 104562 105504 105896 106560 106671 107632 108336 110112 113040 113460 114924 115320 116180 116808 117120 117242 119133 120435 121024 121086 121989 122976 123008 124320 124992 126392 128464 131880 132370 134078 134540 135420 136152 136276 136640 137640 138384 138880 139416 139934 140672 142191 142228 143655 144448 144522 146010 146816 149184 150720 150877 151280 153232 153720 153760 155744 156240 157990 158256 158844 160580 161448 162504 162652 163968 165168 165760 170190 170345 172386 172980 174270 175212 175680 175840 175863 177785 178560 180079 180560 180864 181536 183520 184512 185888 186480 189588 191540 192696 194680 197820 198555 201117 201810 203130 203315 204414 204960 206460 208320 209124 209901 211008 211792 213120 213342 215264 216672 219015 220224 226080 226920 229848 230640 232360 233616 234484 236985 238266 240870 242048 242172 243978 245952 248640 248899 249984 252784 256928 261405 263760 264740 268156 269080 270840 272304 272552 273280 275280 276768 278832 279868 284382 284456 287310 288896 289044 292020 293105 296887 298368 301440 301754 302560 302715 306464 306621 307440 307520 311488 312480 315980 316512 317688 320013 321160 322896 325008 325304 330336 335195 340380 340690 344772 345960 348540 349835 350424 351360 351680 351726 354349 355570 360158 361120 361305 363072 365967 367040 369024 371776 372960 379176 383080 385392 389360 395640 397110 402234 403620 406260 406630 408828 409920 410347 412920 416640 418248 419802 422016 423584 426684 430528 430965 433344 438030 440448 452160 452631 453840 459696 461280 464720 467232 468968 473970 476532 481740 484344 487956 489769 491904 497280 497798 505568 511035 513856 522810 527520 527589 529480 533355 536312 538160 540237 541680 544608 545104 550560 553536 557664 559736 568764 568912 574620 578088 584040 586210 593774 595665 603351 603508 605120 605430 609945 612928 613242 614880 615040 622976 624960 629703 631960 633024 635376 640026 642320 645792 650016 650608 660672 670390 680760 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527271312 535915104 546582204 552209820 564213888 570023040 579820311 586157145 589023808 590899680 595306320 598524192 605065440 607313560 608336064 615149864 624665376 625234288 644244790 659089140 662651784 665026880 669893880 675928960 680350080 681058778 683227755 692043597 694072640 703028416 703388574 705267360 714367584 714553472 716829120 726078528 728776272 736279760 748155240 760420080 768937330 773093748 780831720 781542860 787866240 790906968 793741760 798032256 803872656 806753920 828314730 832887168 855034560 869051520 878785520 883535712 892959480 893191840 907598160 910970340 922724796 937851432 940356480 952490112 966367185 971701696 988633710 997540320 1004840820 1013893440 1020525120 1021588167 1030791664 1037255040 1041108960 1054542624 1071830208 1093164408 1104419640 1153405995 1159640622 1172314290 1178047616 1181799360 1190612640 1197048384 1210130880 1214627120 1216672128 1230299728 1249330752 1250468576 1288489580 1318178280 1325303568 1330053760 1339787760 1362117556 1366455510 1384087194 1388145280 1406056832 1406777148 1410534720 1428735168 1433658240 1452157056 1457552544 1472559520 1496310480 1520840160 1537874660 1546187496 1561663440 1563085720 1581813936 1587483520 1607745312 1656629460 1702646945 1710069120 1757571040 1758471435 1767071424 1785918960 1786383680 1815196320 1821940680 1845449592 1875702864 1932734370 1943403392 1977267420 1995080640 2009681640 2027786880 2041050240 2043176334 2061583328 2082217920 2109085248 2143660416 2186328816 2208839280 2306811990 2319281244 2344628580 2363598720 2381225280 2383705723 2394096768 2420261760 2429254240 2460599456 2498661504 2500937152 2576979160 2636356560 2650607136 2679575520 2724235112 2732911020 2768174388 2813554296 2821069440 2857470336 2899101555 2915105088 2945119040 2992620960 3041680320 3064764501 3075749320 3092374992 3123326880 3126171440 3163627872 3215490624 3313258920 3405293890 3460217985 3515142080 3516942870 3534142848 3571837920 3572767360 3630392640 3643881360 3690899184 3751405728 3865468740 3954534840 3990161280 4019363280 4086352668 4123166656 4164435840 4218170496 4372657632 4417678560 4613623980 4638562488 4689257160 4762450560 4767411446 4858508480 4921198912 5001874304 5107940835 5153958320 5272713120 5301214272 5359151040 5448470224 5465822040 5536348776 5627108592 5798203110 5830210176 5890238080 5985241920 6083360640 6129529002 6151498640 6184749984 6246653760 6252342880 6327255744 6430981248 6626517840 6810587780 6920435970 7030284160 7033885740 7143675840 7151117169 7260785280 7287762720 7381798368 7502811456 7730937480 7909069680 8038726560 8172705336 8246333312 8745315264 8835357120 9227247960 9277124976 9378514320 9534822892 9717016960 9842397824 10215881670 10307916640 10545426240 10602428544 10718302080 10896940448 10931644080 11072697552 11254217184 11596406220 11918528615 11970483840 12259058004 12302997280 12369499968 12493307520 12504685760 12654511488 13253035680 13621175560 13840871940 14067771480 14287351680 14302234338 14575525440 14763596736 15005622912 15323822505 15461874960 15818139360 16077453120 16345410672 17490630528 17670714240 18454495920 18554249952 18757028640 19069645784 20431763340 20615833280 21090852480 21453351507 21793880896 21863288160 22145395104 22508434368 23192812440 23837057230 24518116008 24605994560 24738999936 25009371520 26506071360 27242351120 27681743880 28135542960 28604468676 29151050880 29527193472 30647645010 30923749920 31636278720 32154906240 32690821344 35755585845 36908991840 37108499904 37514057280 38139291568 40863526680 41231666560 42906703014 43587761792 43726576320 44290790208 45016868736 46385624880 47674114460 49036232016 49211989120 53012142720 54484702240 55363487760 56271085920 57208937352 61295290020 61847499840 63272557440 65381642688 71511171690 73817983680 74216999808 75028114560 76278583136 81727053360 85813406028 87453152640 88581580416 92771249760 95348228920 98072464032 107266757535 108969404480 110726975520 112542171840 114417874704 122590580040 123694999680 130763285376 143022343380 147635967360 152557166272 163454106720 171626812056 185542499520 190696457840 196144928064 214533515070 217938808960 221453951040 225084343680 228835749408 245181160080 286044686760 305114332544 326908213440 343253624112 371084999040 381392915680 392289856128 429067030140 442907902080 457671498816 490362320160 572089373520 653816426880 686507248224 762785831360 858134060280 915342997632 980724640320 1144178747040 1373014496448 1525571662720 1716268120560 1961449280640 2288357494080 2746028992896 3432536241120 4576714988160 6865072482240 13730144964480
- Sum of all divisors σ(n): 58817477047680
- Sum of proper divisors (its aliquot sum) s(n): 45087332083200
- 13730144964480 is an abundant number, because the sum of its proper divisors (45087332083200) is greater than itself. Its abundance is 31357187118720
Bases of 13730144964480
- Binary: 110001111100110011000110100111001111100000002
- Hexadecimal: 0xC7CCC69CF80
- Base-36: 4V7JHT5S0
Squares and roots of 13730144964480
- 13730144964480 squared (137301449644802) is 188516880745635500461670400
- 13730144964480 cubed (137301449644803) is 2588364100889163934401328557809467392000
-
The
square root of 13730144964480 is 3705421.0239161757 -
The
cube root of 13730144964480 is 23945.5623593285
Scales and comparisons
How big is 13730144964480?- 13,730,144,964,480 seconds is equal to 436,576 years, 7 weeks, 1 day, 20 hours, 48 minutes.
-
To count from 1 to 13,730,144,964,480 would take you about one million, ninety-one 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 13730144964480 cubic inches would be around 1995.5 feet tall.
Recreational maths with 13730144964480
- 13730144964480 backwards is 08446944103731
- The number of decimal digits it has is: 14
- The sum of 13730144964480's digits is 54
- More coming soon!
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"Number 13730144964480 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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Numbermatics. (2024). Number 13730144964480 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/13730144964480/
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Numbermatics. 2024. "Number 13730144964480 - Facts about the integer". https://numbermatics.com/n/13730144964480/
The information we have on file for 13730144964480 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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