13431577296384
13,431,577,296,384 is an even composite number composed of five prime numbers multiplied together.
13431577296384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13431577296384:
29 × 33 × 132 × 61 × 3072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 61 × 307 × 307)See below for interesting mathematical facts about the number 13431577296384 from the Numbermatics database.
Names of 13431577296384
- Cardinal: 13431577296384 can be written as Thirteen trillion, four hundred thirty-one billion, five hundred seventy-seven million, two hundred ninety-six thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.3431577296384 × 1013
Factors of 13431577296384
Divisors of 13431577296384
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 61 64 72 78 96 104 108 117 122 128 144 156 169 183 192 208 216 234 244 256 288 307 312 338 351 366 384 416 432 468 488 507 512 549 576 614 624 676 702 732 768 793 832 864 921 936 976 1014 1098 1152 1228 1248 1352 1404 1464 1521 1536 1586 1647 1664 1728 1842 1872 1952 2028 2196 2304 2379 2456 2496 2704 2763 2808 2928 3042 3172 3294 3328 3456 3684 3744 3904 3991 4056 4392 4563 4608 4758 4912 4992 5408 5526 5616 5856 6084 6344 6588 6656 6912 7137 7368 7488 7808 7982 8112 8289 8784 9126 9516 9824 9984 10309 10816 11052 11232 11712 11973 12168 12688 13176 13824 14274 14736 14976 15616 15964 16224 16578 17568 18252 18727 19032 19648 19968 20618 21411 21632 22104 22464 23424 23946 24336 25376 26352 28548 29472 29952 30927 31232 31928 32448 33156 35136 35919 36504 37454 38064 39296 41236 42822 43264 44208 44928 46848 47892 48672 50752 51883 52704 56181 57096 58944 59904 61854 63856 64896 66312 70272 71838 73008 74908 76128 78592 82472 85644 86528 88416 89856 92781 93696 94249 95784 97344 101504 103766 105408 107757 112362 114192 117888 123708 127712 129792 132624 140544 143676 146016 149816 152256 155649 157184 164944 168543 171288 176832 179712 185562 188498 191568 194688 203008 207532 210816 215514 224724 228384 235776 243451 247416 255424 259584 265248 278343 281088 282747 287352 292032 299632 304512 311298 329888 337086 342576 353664 371124 376996 383136 389376 406016 415064 421632 431028 449448 456768 466947 471552 486902 494832 505629 510848 530496 556686 565494 574704 584064 599264 609024 622596 659776 674172 685152 707328 730353 742248 753992 766272 778752 830128 843264 848241 862056 898896 913536 933894 973804 989664 1011258 1021696 1060992 1113372 1130988 1149408 1168128 1198528 1218048 1225237 1245192 1319552 1348344 1370304 1400841 1414656 1460706 1484496 1507984 1532544 1660256 1696482 1724112 1797792 1827072 1867788 1947608 1979328 2022516 2043392 2121984 2191059 2226744 2261976 2298816 2336256 2397056 2450474 2490384 2544723 2639104 2696688 2740608 2801682 2921412 2968992 3015968 3065088 3164863 3320512 3392964 3448224 3595584 3654144 3675711 3735576 3895216 3958656 4045032 4243968 4382118 4453488 4523952 4597632 4794112 4900948 4980768 5089446 5278208 5393376 5481216 5603364 5749189 5842824 5937984 6031936 6130176 6329726 6573177 6641024 6785928 6896448 7191168 7351422 7471152 7790432 7917312 8090064 8764236 8906976 9047904 9195264 9494589 9588224 9801896 9961536 10178892 10786752 10962432 11027133 11206728 11498378 11685648 11875968 12063872 12659452 13146354 13282048 13571856 13792896 14382336 14702844 14942304 15580864 15834624 15928081 16180128 17247567 17528472 17813952 18095808 18390528 18989178 19603792 19923072 20357784 21573504 22054266 22413456 22996756 23371296 23751936 24127744 25318904 26292708 26564096 27143712 27585792 28483767 28764672 29405688 29884608 31161728 31856162 32360256 33081399 34495134 35056944 35627904 36191616 37978356 39207584 39846144 40715568 43147008 44108532 44826912 45993512 46742592 47503872 47784243 48255488 50637808 51742701 52585416 54287424 55171584 56967534 58811376 59769216 62323456 63712324 64720512 66162798 68990268 70113888 71255808 72383232 74739457 75956712 78415168 79692288 81431136 85451301 86294016 88217064 89653824 91987024 93485184 95568486 101275616 103485402 105170832 108574848 113935068 117622752 119538432 124646912 127424648 129441024 132325596 137980536 140227776 142511616 143352729 144766464 149478914 151913424 155228103 156830336 162862272 170902602 176434128 179307648 183974048 186970368 191136972 202551232 206970804 210341664 217149696 224218371 227870136 235245504 239076864 254849296 258882048 264651192 275961072 280455552 286705458 298957828 303826848 310456206 313660672 325724544 341805204 352868256 358615296 367948096 373940736 382273944 405102464 413941608 420683328 430058187 434299392 448436742 455740272 470491008 509698592 529302384 551922144 560911104 573410916 597915656 607653696 620912412 627321344 651449088 672655113 683610408 705736512 717230592 735896192 764547888 810204928 827883216 841366656 860116374 896873484 911480544 940982016 971612941 1019397184 1058604768 1103844288 1121822208 1146821832 1195831312 1215307392 1241824824 1302898176 1345310226 1367220816 1411473024 1471792384 1529095776 1620409856 1655766432 1682733312 1720232748 1793746968 1822961088 1881964032 1943225882 2017965339 2038794368 2117209536 2207688576 2293643664 2391662624 2430614784 2483649648 2690620452 2734441632 2822946048 2914838823 2943584768 3058191552 3311532864 3365466624 3440465496 3587493936 3645922176 3886451764 4035930678 4077588736 4234419072 4415377152 4587287328 4783325248 4861229568 4967299296 5381240904 5468883264 5645892096 5829677646 6116383104 6623065728 6880930992 7174987872 7291844352 7772903528 8071861356 8155177472 8468838144 8744516469 8830754304 9174574656 9566650496 9934598592 10762481808 10937766528 11659355292 12232766208 13246131456 13761861984 14349975744 14583688704 15545807056 16143722712 16937676288 17489032938 18349149312 19133300992 19869197184 21524963616 21875533056 23318710584 24465532416 26233549407 26492262912 27523723968 28699951488 31091614112 32287445424 34978065876 36698298624 38266601984 39738394368 43049927232 43751066112 46637421168 52467098814 55047447936 57399902976 62183228224 64574890848 69956131752 73396597248 79476788736 86099854464 93274842336 104934197628 110094895872 114799805952 124366456448 129149781696 139912263504 172199708928 186549684672 209868395256 220189791744 248732912896 258299563392 279824527008 344399417856 373099369344 419736790512 497465825792 516599126784 559649054016 746198738688 839473581024 1033198253568 1119298108032 1492397477376 1678947162048 2238596216064 3357894324096 4477192432128 6715788648192 13431577296384
- Sum of all divisors σ(n): 43900765104240
- Sum of proper divisors (its aliquot sum) s(n): 30469187807856
- 13431577296384 is an abundant number, because the sum of its proper divisors (30469187807856) is greater than itself. Its abundance is 17037610511472
Bases of 13431577296384
- Binary: 110000110111010010000110010010111110000000002
- Hexadecimal: 0xC374864BE00
- Base-36: 4REDQBUO0
Squares and roots of 13431577296384
- 13431577296384 squared (134315772963842) is 180407268668738122979475456
- 13431577296384 cubed (134315772963843) is 2423154173953671508749573848022965551104
-
The
square root of 13431577296384 is 3664911.6355492121 -
The
cube root of 13431577296384 is 23770.7201171303
Scales and comparisons
How big is 13431577296384?- 13,431,577,296,384 seconds is equal to 427,082 years, 31 weeks, 5 days, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 13,431,577,296,384 would take you about one million, sixty-seven thousand, seven hundred six 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 13431577296384 cubic inches would be around 1980.9 feet tall.
Recreational maths with 13431577296384
- 13431577296384 backwards is 48369277513431
- The number of decimal digits it has is: 14
- The sum of 13431577296384's digits is 63
- More coming soon!
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