13742520390144
13,742,520,390,144 is an even composite number composed of seven prime numbers multiplied together.
13742520390144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 13742520390144:
29 × 33 × 7 × 13 × 23 × 197 × 2411
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 23 × 197 × 2411)See below for interesting mathematical facts about the number 13742520390144 from the Numbermatics database.
Names of 13742520390144
- Cardinal: 13742520390144 can be written as Thirteen trillion, seven hundred forty-two billion, five hundred twenty million, three hundred ninety thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3742520390144 × 1013
Factors of 13742520390144
Divisors of 13742520390144
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 32 36 39 42 46 48 52 54 56 63 64 69 72 78 84 91 92 96 104 108 112 117 126 128 138 144 156 161 168 182 184 189 192 197 207 208 216 224 234 252 256 273 276 288 299 312 322 336 351 364 368 378 384 394 414 416 432 448 468 483 504 512 546 552 576 591 598 621 624 644 672 702 728 736 756 768 788 819 828 832 864 896 897 936 966 1008 1092 1104 1152 1182 1196 1242 1248 1288 1344 1379 1404 1449 1456 1472 1512 1536 1576 1638 1656 1664 1728 1773 1792 1794 1872 1932 2016 2093 2184 2208 2304 2364 2392 2411 2457 2484 2496 2561 2576 2688 2691 2758 2808 2898 2912 2944 3024 3152 3276 3312 3328 3456 3546 3584 3588 3744 3864 4032 4137 4186 4347 4368 4416 4531 4608 4728 4784 4822 4914 4968 4992 5122 5152 5319 5376 5382 5516 5616 5796 5824 5888 6048 6279 6304 6552 6624 6656 6912 7092 7176 7233 7488 7683 7728 8064 8073 8274 8372 8694 8736 8832 9062 9456 9568 9644 9828 9936 9984 10244 10304 10638 10752 10764 11032 11232 11592 11648 11776 12096 12411 12558 12608 13104 13248 13593 13824 14184 14352 14466 14976 15366 15456 16128 16146 16548 16744 16877 17388 17472 17664 17927 18124 18837 18912 19136 19288 19656 19872 19968 20488 20608 21276 21528 21699 22064 22464 23049 23184 23296 24192 24822 25116 25216 26208 26496 27186 28368 28704 28932 29952 30732 30912 31343 31717 32256 32292 33096 33488 33754 34776 34944 35328 35854 36248 37233 37674 37824 38272 38576 39312 39744 40779 40976 41216 42552 43056 43398 44128 44928 46098 46368 46592 48384 49644 50232 50432 50631 52416 52992 53781 54372 55453 56511 56736 57408 57864 58903 59904 61464 61824 62686 63434 64584 65097 66192 66976 67508 69147 69552 69888 71708 72496 74466 75348 75648 76544 77152 78624 79488 81558 81952 82432 85104 86112 86796 88256 89856 92196 92736 94029 95151 96768 99288 100464 100864 101262 104832 105984 107562 108744 110906 113022 113472 114816 115728 117806 122337 122928 123648 125372 126868 129168 130194 132384 133952 135016 138294 139104 139776 143416 144992 148932 150696 151296 151893 153088 154304 157248 158976 161343 163116 163904 166359 170208 172224 173592 176512 176709 179712 184392 185472 188058 190302 198576 200928 202524 209664 215124 217488 219401 221812 226044 226944 229632 231456 235612 244674 245856 247296 250744 253736 258336 260388 264768 267904 270032 276588 278208 282087 285453 286832 289984 297864 301392 302592 303786 308608 314496 317952 322686 326232 327808 332718 340416 344448 347184 353024 353418 368784 370944 376116 380604 388171 397152 401856 405048 412321 419328 430248 434976 438802 443624 452088 453888 455679 459264 462912 471224 474967 484029 489348 491712 499077 501488 507472 516672 520776 529536 530127 535808 540064 553176 556416 564174 570906 573664 579968 595728 602784 607572 617216 628992 645372 652464 655616 658203 665436 680832 688896 694368 706048 706836 720889 737568 741888 752232 761208 776342 794304 803712 810096 824642 846261 856359 860496 869952 877604 887248 904176 907776 911358 925824 942448 949934 968058 978696 983424 998154 1002976 1014944 1033344 1041552 1059072 1060254 1071616 1080128 1106352 1112832 1128348 1141812 1147328 1159936 1164513 1191456 1205568 1215144 1234432 1236963 1257984 1290744 1304928 1311232 1316406 1330872 1361664 1377792 1388736 1413672 1424901 1441778 1475136 1497231 1504464 1522416 1552684 1588608 1590381 1607424 1620192 1649284 1692522 1712718 1720992 1739904 1755208 1774496 1808352 1822716 1851648 1884896 1899868 1936116 1957392 1966848 1974609 1996308 2005952 2029888 2066688 2083104 2118144 2120508 2160256 2162667 2212704 2225664 2256696 2283624 2294656 2319872 2329026 2382912 2411136 2430288 2473926 2581488 2609856 2632812 2661744 2723328 2777472 2827344 2849802 2883556 2950272 2994462 3008928 3044832 3105368 3177216 3180762 3214848 3240384 3298568 3324769 3385044 3425436 3441984 3479808 3493539 3510416 3548992 3616704 3645432 3703296 3710889 3769792 3799736 3872232 3914784 3933696 3949218 3992616 4011904 4059776 4133376 4166208 4241016 4274703 4320512 4325334 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1788691968 1835272488 1899975168 1915066944 1937749632 1988211862 2064681549 2074655856 2097454272 2179968336 2188647936 2272242128 2333987838 2359636056 2371035264 2447029984 2491392384 2553422592 2556272394 2583666176 2667414672 2683037952 2752908732 2766207808 2796605696 2849962752 2872600416 2906624448 2982317793 3032999424 3111983784 3146181408 3161380352 3282971904 3321856512 3408363192 3556552896 3670544976 3830133888 3834408591 3875499264 3976423724 4129363098 4149311712 4194908544 4359936672 4544484256 4667975676 4719272112 4742070528 4894059968 4982784768 5106845184 5112544788 5334829344 5366075904 5505817464 5532415616 5593211392 5699925504 5745200832 5813248896 5964635586 6223967568 6292362816 6565943808 6816726384 7113105792 7341089952 7660267776 7668817182 7750998528 7952847448 8258726196 8298623424 8389817088 8719873344 8946953379 9088968512 9335951352 9438544224 9484141056 9788119936 9965569536 10225089576 10669658688 11011634928 11064831232 11490401664 11626497792 11929271172 12447935136 12584725632 13633452768 14226211584 14682179904 15320535552 15337634364 15905694896 16517452392 16597246848 16779634176 17439746688 17893906758 18177937024 18671902704 18877088448 19576239872 20450179152 21339317376 22023269856 22129662464 22980803328 23252995584 23858542344 24895870272 25169451264 26840860137 27266905536 28452423168 29364359808 30675268728 31811389792 33034904784 33194493696 34879493376 35787813516 36355874048 37343805408 37754176896 39152479744 40900358304 42678634752 44046539712 45961606656 47717084688 49791740544 50338902528 53681720274 54533811072 58728719616 61350537456 63622779584 66069809568 66388987392 69758986752 71575627032 72711748096 74687610816 75508353792 81800716608 85357269504 88093079424 95434169376 99583481088 107363440548 109067622144 117457439232 122701074912 127245559168 132139619136 143151254064 149375221632 151016707584 163601433216 176186158848 190868338752 199166962176 214726881096 218135244288 245402149824 254491118336 264279238272 286302508128 298750443264 327202866432 352372317696 381736677504 429453762192 490804299648 508982236672 528558476544 572605016256 597500886528 654405732864 763473355008 858907524384 981608599296 1057116953088 1145210032512 1526946710016 1717815048768 1963217198592 2290420065024 3435630097536 4580840130048 6871260195072 13742520390144
- Sum of all divisors σ(n): 52529997864960
- Sum of proper divisors (its aliquot sum) s(n): 38787477474816
- 13742520390144 is an abundant number, because the sum of its proper divisors (38787477474816) is greater than itself. Its abundance is 25044957084672
Bases of 13742520390144
- Binary: 110001111111101011100000101111010010000000002
- Hexadecimal: 0xC7FAE0BD200
- Base-36: 4VD85THC0
Squares and roots of 13742520390144
- 13742520390144 squared (137425203901442) is 188856866673523597972340736
- 13742520390144 cubed (137425203901443) is 2595369341079604907082042618615624105984
-
The
square root of 13742520390144 is 3707090.5559675771 -
The
cube root of 13742520390144 is 23952.7545033225
Scales and comparisons
How big is 13742520390144?- 13,742,520,390,144 seconds is equal to 436,969 years, 33 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,742,520,390,144 would take you about one million, ninety-two thousand, four hundred twenty-four 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 13742520390144 cubic inches would be around 1996.1 feet tall.
Recreational maths with 13742520390144
- 13742520390144 backwards is 44109302524731
- The number of decimal digits it has is: 14
- The sum of 13742520390144's digits is 45
- More coming soon!
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"Number 13742520390144 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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The information we have on file for 13742520390144 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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