13677015040416
13,677,015,040,416 is an even composite number composed of six prime numbers multiplied together.
What does the number 13677015040416 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
13677015040416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13677015040416:
25 × 39 × 7 × 13 × 192 × 661
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 19 × 19 × 661)See below for interesting mathematical facts about the number 13677015040416 from the Numbermatics database.
Names of 13677015040416
- Cardinal: 13677015040416 can be written as Thirteen trillion, six hundred seventy-seven billion, fifteen million, forty thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.3677015040416 × 1013
Factors of 13677015040416
Divisors of 13677015040416
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 32 36 38 39 42 48 52 54 56 57 63 72 76 78 81 84 91 96 104 108 112 114 117 126 133 144 152 156 162 168 171 182 189 208 216 224 228 234 243 247 252 266 273 288 304 312 324 336 342 351 361 364 378 399 416 432 456 468 486 494 504 513 532 546 567 608 624 648 661 672 684 702 722 728 729 741 756 798 819 864 912 936 972 988 1008 1026 1053 1064 1083 1092 1134 1197 1248 1296 1322 1368 1404 1444 1456 1458 1482 1512 1539 1596 1638 1701 1729 1824 1872 1944 1976 1983 2016 2052 2106 2128 2166 2184 2187 2223 2268 2394 2457 2527 2592 2644 2736 2808 2888 2912 2916 2964 3024 3078 3159 3192 3249 3276 3402 3458 3591 3744 3888 3952 3966 4104 4212 4256 4332 4368 4374 4446 4536 4617 4627 4693 4788 4914 5054 5103 5187 5288 5472 5616 5776 5832 5928 5949 6048 6156 6318 6384 6498 6552 6561 6669 6804 6916 7182 7371 7581 7776 7904 7932 8208 8424 8593 8664 8736 8748 8892 9072 9234 9254 9386 9477 9576 9747 9828 10108 10206 10374 10576 10773 11232 11552 11664 11856 11898 12312 12559 12636 12768 12996 13104 13122 13338 13608 13832 13851 13881 14079 14364 14742 15162 15309 15561 15864 16416 16848 17186 17328 17496 17784 17847 18144 18468 18508 18772 18954 19152 19494 19656 19683 20007 20216 20412 20748 21152 21546 22113 22743 23328 23712 23796 24624 25118 25272 25779 25992 26208 26244 26676 27216 27664 27702 27762 28158 28431 28728 29241 29484 30324 30618 31122 31728 32319 32851 33696 34372 34656 34992 35568 35694 36936 37016 37544 37677 37908 38304 38988 39312 39366 40014 40432 40824 41496 41553 41643 42237 43092 44226 45486 45927 46683 47592 49248 50236 50544 51558 51984 52488 53352 53541 54432 55328 55404 55524 56316 56862 57456 58482 58968 60021 60151 60648 61236 62244 63456 64638 65702 66339 68229 68744 69984 71136 71388 73872 74032 75088 75354 75816 77337 77976 78624 78732 80028 80864 81648 82992 83106 83286 84474 85293 86184 87723 87913 88452 90972 91854 93366 95184 96957 98553 100472 101088 103116 103968 104976 106704 107082 110808 111048 112632 113031 113724 114912 116964 117936 120042 120302 121296 122472 124488 124659 124929 126711 129276 131404 132678 136458 137488 137781 140049 142776 147744 148064 150176 150708 151632 154674 155952 157464 160056 160623 163267 163296 165984 166212 166572 168948 170586 172368 175446 175826 176904 180063 180453 181944 183708 186732 190368 193914 197106 199017 200944 204687 206232 209952 213408 214164 221616 222096 225264 226062 227448 232011 233928 235872 238621 240084 240604 242592 244944 248976 249318 249858 253422 255879 258552 262808 263169 263739 265356 272916 274976 275562 280098 285552 290871 295659 301416 303264 309348 311904 314928 320112 321246 326534 332424 333144 337896 339093 341172 344736 350892 351652 353808 360126 360906 363888 367416 373464 373977 374787 380133 387828 394212 398034 401888 409374 412464 420147 428328 443232 444192 450528 452124 454896 464022 467856 477242 480168 481208 481869 489801 489888 497952 498636 499716 506844 511758 517104 525616 526338 527478 530712 540189 541359 545832 551124 560196 571104 581742 591318 597051 602832 614061 618696 629856 640224 642492 653068 664848 666288 675792 678186 682344 696033 701784 703304 707616 715863 720252 721812 727776 734832 746928 747954 749574 760266 775656 788424 789507 791217 796068 818748 824928 840294 856656 872613 886977 904248 909792 928044 935712 954484 960336 962416 963738 979602 997272 999432 1013688 1017279 1023516 1034208 1051232 1052676 1054956 1061424 1080378 1082718 1091664 1102248 1120392 1124361 1140399 1142869 1163484 1182636 1194102 1205664 1228122 1237392 1260441 1284984 1306136 1329696 1332576 1351584 1356372 1364688 1392066 1403568 1406608 1431726 1440504 1443624 1445607 1469403 1469664 1493856 1495908 1499148 1520532 1551312 1576848 1579014 1582434 1592136 1620567 1624077 1637496 1670347 1680588 1713312 1745226 1773954 1791153 1808496 1842183 1856088 1908968 1920672 1924832 1927476 1959204 1994544 1998864 2027376 2034558 2047032 2088099 2105352 2109912 2122848 2147589 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300686256 309252816 317391048 323815968 328434912 329146272 329598396 335023884 338272038 341805744 347432176 347909418 350800632 357064929 360794952 363007008 364292964 369489276 370289556 383174064 384531462 390861198 394650711 397911528 405894321 416334816 423188064 431070822 439464528 446698512 451029384 463879224 467734176 476086572 481059936 485723952 492652368 493719408 494397594 502535826 512708616 521148264 521864127 526200948 530548704 541192428 544510512 555434334 574761096 576797193 586291797 601372512 618505632 634782096 646606233 659196792 670047768 676544076 683611488 694864352 695818836 701601264 714129858 721589904 728585928 738978552 740579112 753803739 766348128 769062924 781722396 789301422 795823056 811788642 833151501 862141644 878929056 893397024 902058768 927758448 952173144 971447904 985304736 987438816 988795188 1005071652 1025417232 1042296528 1043728254 1052401896 1071194787 1082384856 1089021024 1110868668 1149522192 1153594386 1172583594 1183952133 1217682963 1269564192 1293212466 1318393584 1340095536 1353088152 1391637672 1403202528 1428259716 1443179808 1457171856 1477957104 1481158224 1507607478 1538125848 1563444792 1565592381 1578602844 1591646112 1623577284 1666303002 1724283288 1730391579 1758875391 1804117536 1855516896 1904346288 1977590376 2010143304 2050834464 2084593056 2087456508 2104803792 2142389574 2164769712 2221737336 2261411217 2299044384 2307188772 2345167188 2367904266 2435365926 2499454503 2586424932 2636787168 2680191072 2706176304 2783275344 2856519432 2914343712 2955914208 2962316448 3015214956 3076251696 3126889584 3131184762 3157205688 3213584361 3247154568 3332606004 3448566576 3460783158 3517750782 3653048889 3808692576 3955180752 4020286608 4174913016 4209607584 4284779148 4329539424 4443474672 4522822434 4614377544 4690334376 4696777143 4735808532 4870731852 4998909006 5172849864 5276626173 5412352608 5566550688 5713038864 6030429912 6152503392 6253779168 6262369524 6314411376 6427168722 6494309136 6665212008 6784233651 6897133152 6921566316 7035501564 7306097778 7498363509 7910361504 8040573216 8349826032 8569558296 8886949344 9045644868 9228755088 9380668752 9393554286 9471617064 9741463704 9997818012 10345699728 10553252346 10959146667 11426077728 12060859824 12524739048 12628822752 12854337444 12988618272 13330424016 13568467302 13843132632 14071003128 14612195556 14996727018 15829878519 16699652064 17139116592 18091289736 18457510176 18761337504 18787108572 18943234128 19482927408 19995636024 20352700953 20691399456 21106504692 21918293334 22495090527 24121719648 25049478096 25708674888 26660848032 27136934604 27686265264 28142006256 29224391112 29993454036 31659757038 32877440001 34278233184 36182579472 37574217144 37886468256 38965854816 39991272048 40705401906 42213009384 43836586668 44990181054 47489635557 50098956192 51417349776 54273869208 55372530528 56284012512 58448782224 59986908072 61058102859 63319514076 65754880002 72365158944 75148434288 79982544096 81410803812 84426018768 87673173336 89980362108 94979271114 102834699552 108547738416 116897564448 119973816144 122116205718 126639028152 131509760004 142468906671 150296868576 162821607624 168852037536 175346346672 179960724216 189958542228 217095476832 239947632288 244232411436 253278056304 263019520008 284937813342 325643215248 350692693344 359921448432 379917084456 427406720013 488464822872 506556112608 526039040016 569875626684 651286430496 719842896864 759834168912 854813440026 976929645744 1052078080032 1139751253368 1519668337824 1709626880052 1953859291488 2279502506736 3419253760104 4559005013472 6838507520208 13677015040416
- Sum of all divisors σ(n): 52543226026368
- Sum of proper divisors (its aliquot sum) s(n): 38866210985952
- 13677015040416 is an abundant number, because the sum of its proper divisors (38866210985952) is greater than itself. Its abundance is 25189195945536
Bases of 13677015040416
- Binary: 110001110000011011011001111110000001101000002
- Hexadecimal: 0xC706D9F81A0
- Base-36: 4UJ4TMI00
Squares and roots of 13677015040416
- 13677015040416 squared (136770150404162) is 187060740415765478113453056
- 13677015040416 cubed (136770150404163) is 2558432560137777565283446712141158711296
-
The
square root of 13677015040416 is 3698244.8594456263 -
The
cube root of 13677015040416 is 23914.6359939179
Scales and comparisons
How big is 13677015040416?- 13,677,015,040,416 seconds is equal to 434,886 years, 40 weeks, 1 day, 4 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,677,015,040,416 would take you about one million, eighty-seven thousand, two hundred sixteen 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 13677015040416 cubic inches would be around 1992.9 feet tall.
Recreational maths with 13677015040416
- 13677015040416 backwards is 61404051077631
- The number of decimal digits it has is: 14
- The sum of 13677015040416's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 13677015040416 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 13677015040416 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/13677015040416/
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The information we have on file for 13677015040416 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!
Keywords: Divisors of 13677015040416, math, Factors of 13677015040416, curriculum, school, college, exams, university, Prime factorization of 13677015040416, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, six hundred seventy-seven billion, fifteen million, forty thousand, four hundred sixteen.