13681978575456384
13,681,978,575,456,384 is an even composite number composed of five prime numbers multiplied together.
What does the number 13681978575456384 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
13681978575456384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13681978575456384:
27 × 32 × 192 × 1133 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 19 × 113 × 113 × 113 × 151 × 151)See below for interesting mathematical facts about the number 13681978575456384 from the Numbermatics database.
Names of 13681978575456384
- Cardinal: 13681978575456384 can be written as Thirteen quadrillion, six hundred eighty-one trillion, nine hundred seventy-eight billion, five hundred seventy-five million, four hundred fifty-six thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.3681978575456384 × 1016
Factors of 13681978575456384
Divisors of 13681978575456384
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 113 114 128 144 151 152 171 192 226 228 288 302 304 339 342 361 384 452 453 456 576 604 608 678 684 722 904 906 912 1017 1083 1152 1208 1216 1356 1359 1368 1444 1808 1812 1824 2034 2147 2166 2416 2432 2712 2718 2736 2869 2888 3249 3616 3624 3648 4068 4294 4332 4832 5424 5436 5472 5738 5776 6441 6498 7232 7248 7296 8136 8588 8607 8664 9664 10848 10872 10944 11476 11552 12769 12882 12996 14464 14496 16272 17063 17176 17214 17328 19323 19328 21696 21744 21888 22801 22952 23104 25538 25764 25821 25992 28992 32544 34126 34352 34428 34656 38307 38646 40793 43392 43488 45602 45904 46208 51076 51189 51528 51642 51984 54511 57984 65088 68252 68403 68704 68856 69312 76614 77292 81586 86976 91204 91808 102152 102378 103056 103284 103968 109022 114921 122379 130176 136504 136806 137408 137712 138624 153228 153567 154584 163172 163533 173952 182408 183616 204304 204756 205209 206112 206568 207936 218044 229842 242611 244758 273008 273612 274816 275424 306456 307134 309168 324197 326344 327066 364816 367137 367232 408608 409512 410418 412224 413136 415872 433219 436088 459684 485222 489516 490599 546016 547224 550848 612912 614268 618336 648394 652688 654132 727833 729632 734274 817216 819024 820836 824448 826272 866438 872176 919368 970444 972591 979032 981198 1092032 1094448 1101696 1225824 1228536 1236672 1296788 1299657 1305376 1308264 1442897 1455666 1459264 1468548 1634432 1638048 1641672 1652544 1732876 1744352 1838736 1928119 1940888 1945182 1958064 1962396 2183499 2184064 2188896 2451648 2457072 2473344 2576513 2593576 2599314 2610752 2616528 2885794 2911332 2917773 2918528 2937096 3276096 3283344 3305088 3465752 3488704 3677472 3856238 3881776 3890364 3898971 3916128 3924792 4328691 4366998 4377792 4609609 4903296 4914144 5153026 5187152 5198628 5221504 5233056 5771588 5784357 5822664 5835546 5874192 6159743 6552192 6566688 6931504 6977408 7354944 7712476 7729539 7763552 7780728 7797942 7832256 7849584 8231161 8657382 8733996 8755584 9219218 9828288 10306052 10374304 10397256 10466112 11543176 11568714 11645328 11671092 11748384 12319486 12986073 13133376 13828827 13863008 14709888 15424952 15459078 15527104 15561456 15595884 15664512 15699168 16462322 17314764 17353071 17467992 18438436 18479229 19656576 20612104 20748608 20794512 20932224 23086352 23137428 23188617 23290656 23342184 23496768 24638972 24693483 25972146 26266752 27415043 27657654 27726016 30849904 30918156 31054208 31122912 31191768 31398336 32924644 34629528 34706142 34935984 36634261 36876872 36958458 41224208 41486481 41497216 41589024 46172704 46274856 46377234 46581312 46684368 46993536 48953747 49277944 49386966 51944292 54830086 55315308 55437687 55452032 61699808 61836312 62245824 62383536 62796672 65849288 69259056 69412284 69871968 73268522 73753744 73916916 74080449 82245129 82448416 82972962 83178048 92345408 92549712 92754468 93162624 93368736 97907494 98555888 98773932 103888584 109660172 109902783 110630616 110875374 123399616 123672624 124491648 124767072 131698576 138518112 138824568 139743936 146537044 146861241 147507488 147833832 148160898 164490258 164896832 165945924 166356096 184690816 185099424 185508936 186737472 195814988 197111776 197547864 207777168 217877447 219320344 219805566 221261232 221750748 246735387 246799232 247345248 249534144 263397152 277036224 277649136 279487872 291145969 293074088 293722482 295014976 295667664 296321796 328980516 329708349 329793664 331891848 370198848 371017872 373474944 391629976 394223552 395095728 415554336 435754894 438640688 439611132 440583723 442522464 443501496 493470774 494690496 499068288 520885817 526794304 554072448 555298272 582291938 586148176 587444964 590029952 591335328 592643592 653632341 657961032 659416698 663783696 696050959 740397696 742035744 783259952 788447104 790191456 831108672 871509788 873437907 877281376 879222264 881167446 885044928 887002992 930121193 986941548 989380992 1041771634 1053588608 1110596544 1164583876 1172296352 1174889928 1182670656 1185287184 1307264682 1315922064 1318833396 1327567392 1392101918 1484071488 1562657451 1566519904 1580382912 1662217344 1743019576 1746875814 1754562752 1758444528 1762334892 1770089856 1774005984 1860242386 1960897023 1973883096 2083543268 2088152877 2221193088 2329167752 2344592704 2349779856 2365341312 2370574368 2614529364 2620313721 2631844128 2637666792 2655134784 2784203836 2790363579 2968142976 3125314902 3133039808 3160765824 3486039152 3493751628 3509125504 3516889056 3524669784 3548011968 3720484772 3921794046 3947766192 4139671493 4167086536 4176305754 4658335504 4687972353 4689185408 4699559712 4741148736 5229058728 5240627442 5263688256 5275333584 5310269568 5531773411 5568407672 5580727158 6250629804 6264458631 6266079616 6972078304 6987503256 7033778112 7049339568 7096023936 7440969544 7843588092 7895532384 8279342986 8334173072 8352611508 8371090737 9316671008 9375944706 9399119424 9482297472 10458117456 10481254884 10527376512 10550667168 11063546822 11136815344 11161454316 12419014479 12501259608 12528917262 13944156608 13975006512 14067556224 14098679136 14881939088 15687176184 15791064768 16558685972 16595320233 16668346144 16705223016 16742181474 18633342016 18751889412 18798238848 20916234912 20962509768 21101334336 22127093644 22273630688 22322908632 24838028958 25002519216 25057834524 27888313216 27950013024 28197358272 29763878176 31374352368 31582129536 32899494497 33117371944 33190640466 33336692288 33410446032 33484362948 37257043437 37266684032 37503778824 41832469824 41925019536 42202668672 44254187288 44547261376 44645817264 49676057916 49785960699 50005038432 50115669048 55900026048 56394716544 59527756352 62748704736 65798988994 66234743888 66381280932 66673384576 66820892064 66968725896 74514086874 75007557648 78653758367 83664939648 83850039072 88508374576 89094522752 89291634528 98698483491 99352115832 99571921398 100010076864 100231338096 105103694809 111800052096 119055512704 125497409472 131597977988 132469487776 132762561864 133641784128 133937451792 149028173748 150015115296 157307516734 167700078144 177016749152 178583269056 197396966982 198704231664 199143842796 200020153728 200462676192 210207389618 235961275101 250994818944 263195955976 264938975552 265525123728 267283568256 267874903584 296095450473 298056347496 300030230592 314615033468 315311084427 335400156288 354033498304 357166538112 394793933964 397408463328 398287685592 400925352384 420414779236 471922550202 526391911952 529877951104 531050247456 535749807168 592190900946 596112694992 600060461184 625090395443 629230066936 630622168854 707883825303 708066996608 789587867928 794816926656 796575371184 801850704768 840829558472 943845100404 945933253281 1052783823904 1062100494912 1071499614336 1184381801892 1192225389984 1250180790886 1258460133872 1261244337708 1415767650606 1579175735856 1589633853312 1593150742368 1681659116944 1875271186329 1887690200808 1891866506562 2105567647808 2124200989824 2368763603784 2384450779968 2500361581772 2516920267744 2522488675416 2831535301212 3158351471712 3186301484736 3363318233888 3750542372658 3775380401616 3783733013124 4211135295616 4737527207568 4768901559936 5000723163544 5033840535488 5044977350832 5625813558987 5663070602424 6316702943424 6372602969472 6726636467776 7501084745316 7550760803232 7567466026248 9475054415136 10001446327088 10067681070976 10089954701664 11251627117974 11326141204848 11876717513417 12633405886848 13453272935552 15002169490632 15101521606464 15134932052496 18950108830272 20002892654176 20179909403328 22503254235948 22652282409696 23753435026834 30004338981264 30203043212928 30269864104992 35630152540251 37900217660544 40005785308352 40359818806656 45006508471896 45304564819392 47506870053668 60008677962528 60539728209984 71260305080502 80011570616704 90013016943792 90609129638784 95013740107336 106890457620753 120017355925056 121079456419968 142520610161004 180026033887584 190027480214672 213780915241506 240034711850112 285041220322008 360052067775168 380054960429344 427561830483012 570082440644016 720104135550336 760109920858688 855123660966024 1140164881288032 1520219841717376 1710247321932048 2280329762576064 3420494643864096 4560659525152128 6840989287728192 13681978575456384
- Sum of all divisors σ(n): 42203037881195100
- Sum of proper divisors (its aliquot sum) s(n): 28521059305738716
- 13681978575456384 is an abundant number, because the sum of its proper divisors (28521059305738716) is greater than itself. Its abundance is 14839080730282332
Bases of 13681978575456384
- Binary: 1100001001101110101111111000001101000010001000100000002
- Hexadecimal: 0x309BAFE0D08880
- Base-36: 3QPUU6PLWG0
Squares and roots of 13681978575456384
- 13681978575456384 squared (136819785754563842) is 187196537739247502845153886355456
- 13681978575456384 cubed (136819785754563843) is 2561219018747996775229235748031816537625648431104
-
The
square root of 13681978575456384 is 116969990.0635046819 -
The
cube root of 13681978575456384 is 239175.2860308677
Scales and comparisons
How big is 13681978575456384?- 13,681,978,575,456,384 seconds is equal to 435,044,597 years, 29 weeks, 1 day, 5 hours, 26 minutes, 24 seconds.
-
To count from 1 to 13,681,978,575,456,384 would take you about one billion, three hundred five million, one hundred thirty-three thousand, seven hundred ninety-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 13681978575456384 cubic inches would be around 19931.3 feet tall.
Recreational maths with 13681978575456384
- 13681978575456384 backwards is 48365457587918631
- The number of decimal digits it has is: 17
- The sum of 13681978575456384's digits is 90
- More coming soon!
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The information we have on file for 13681978575456384 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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