13829807025216
13,829,807,025,216 is an even composite number composed of six prime numbers multiplied together.
What does the number 13829807025216 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1176 divisors.
13829807025216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred seventy-six divisors.
Prime factorization of 13829807025216:
26 × 36 × 7 × 132 × 331 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 331 × 757)See below for interesting mathematical facts about the number 13829807025216 from the Numbermatics database.
Names of 13829807025216
- Cardinal: 13829807025216 can be written as Thirteen trillion, eight hundred twenty-nine billion, eight hundred seven million, twenty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.3829807025216 × 1013
Factors of 13829807025216
Divisors of 13829807025216
- Number of divisors d(n): 1176
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 144 156 162 168 169 182 189 192 208 216 224 234 243 252 273 288 312 324 331 336 338 351 364 378 416 432 448 468 486 504 507 546 567 576 624 648 662 672 676 702 728 729 756 757 819 832 864 936 972 993 1008 1014 1053 1092 1134 1183 1248 1296 1324 1344 1352 1404 1456 1458 1512 1514 1521 1638 1701 1728 1872 1944 1986 2016 2028 2106 2184 2268 2271 2317 2366 2457 2496 2592 2648 2704 2808 2912 2916 2979 3024 3028 3042 3159 3276 3402 3549 3744 3888 3972 4032 4056 4212 4303 4368 4536 4542 4563 4634 4732 4914 5103 5184 5296 5299 5408 5616 5824 5832 5958 6048 6056 6084 6318 6552 6804 6813 6951 7098 7371 7488 7776 7944 8112 8424 8606 8736 8937 9072 9084 9126 9268 9464 9477 9828 9841 10206 10592 10598 10647 10816 11232 11664 11916 12096 12112 12168 12636 12909 13104 13608 13626 13689 13902 14196 14742 15552 15888 15897 16224 16848 17212 17472 17874 18144 18168 18252 18536 18928 18954 19656 19682 20412 20439 20853 21184 21196 21294 22113 22464 23328 23832 24224 24336 25272 25818 26208 26811 27216 27252 27378 27804 28392 29484 29523 30121 31776 31794 31941 32448 33696 34424 35748 36288 36336 36504 37072 37856 37908 38727 39312 39364 40824 40878 41067 41706 42392 42588 44226 46656 47664 47691 48448 48672 50544 51636 52416 53622 54432 54504 54756 55608 55939 56784 58968 59046 60242 61317 62559 63552 63588 63882 66339 67392 68848 68887 71496 72672 73008 74144 75712 75816 77454 78624 78728 80433 81648 81756 82134 83412 84784 85176 88452 88569 90363 95328 95382 95823 97344 101088 103272 107244 108864 109008 109512 111216 111878 113568 116181 117936 118092 120484 122634 123201 125118 127176 127764 127933 132678 137696 137774 142992 143073 145344 146016 148288 151632 154908 157248 157456 160866 163296 163512 164268 166824 167817 169568 170352 176904 177138 180726 183951 187677 190656 190764 191646 202176 206544 206661 214488 218016 219024 222432 223756 227136 232362 235872 236184 240968 241299 245268 246402 250236 250567 254352 255528 255866 265356 265707 271089 275392 275548 285984 286146 287469 292032 303264 309816 314912 321732 326592 327024 328536 333648 335634 339136 340704 348543 353808 354276 361452 367902 375354 381528 383292 383799 391573 413088 413322 428976 429219 436032 438048 444864 447512 464724 471744 472368 481936 482598 490536 492804 500472 501134 503451 508704 511056 511732 530712 531414 542178 551096 551853 563031 571968 572292 574938 606528 619632 619983 629824 643464 654048 657072 667296 671268 681408 697086 707616 708552 722904 735804 750708 751701 763056 766584 767598 783146 797121 813267 826176 826644 857952 858438 862407 876096 895024 895531 929448 944736 963872 965196 981072 985608 1000944 1002268 1006902 1017408 1022112 1023464 1045629 1061424 1062828 1084356 1102192 1103706 1126062 1144584 1149876 1151397 1174719 1239264 1239966 1286928 1287657 1308096 1314144 1334592 1342536 1394172 1415232 1417104 1445808 1471608 1501416 1503402 1510353 1526112 1533168 1535196 1566292 1594242 1626534 1653288 1689093 1715904 1716876 1724814 1753969 1790048 1791062 1858896 1859949 1889472 1927744 1930392 1962144 1971216 2001888 2004536 2013804 2044224 2046928 2091258 2122848 2125656 2168712 2204384 2207412 2252124 2255103 2289168 2299752 2302794 2349438 2391363 2439801 2478528 2479932 2573856 2575314 2628288 2685072 2686593 2788344 2834208 2891616 2943216 3002832 3006804 3020706 3052224 3066336 3070392 3132584 3136887 3188484 3253068 3257371 3306576 3378186 3433752 3449628 3454191 3507938 3524157 3580096 3582124 3717792 3719898 3860784 3862971 3924288 3942432 4003776 4009072 4027608 4093856 4182516 4245696 4251312 4337424 4408768 4414824 4504248 4510206 4531059 4578336 4599504 4605588 4698876 4782726 4879602 4959864 5147712 5150628 5261907 5370144 5373186 5576688 5579847 5668416 5783232 5886432 6005664 6013608 6041412 6132672 6140784 6265168 6273774 6376968 6506136 6514742 6613152 6756372 6765309 6867504 6899256 6908382 7015876 7048314 7164248 7174089 7319403 7435584 7439796 7721568 7725942 7884864 8018144 8055216 8059779 8187712 8365032 8502624 8674848 8829648 9008496 9020412 9062118 9156672 9199008 9211176 9397752 9565452 9759204 9772113 9919728 10301256 10362573 10523814 10572471 10740288 10746372 11153376 11159694 11772864 12011328 12027216 12082824 12281568 12530336 12547548 12753936 13012272 13029484 13226304 13512744 13530618 13593177 13735008 13798512 13816764 14031752 14096628 14328496 14348178 14638806 14879592 15443136 15451884 15785721 16036288 16110432 16119558 16730064 16739541 17005248 17349696 17659296 18016992 18040824 18124236 18398016 18422352 18795504 19130904 19518408 19544226 19839456 20295927 20602512 20725146 21047628 21144942 21492744 21958209 22306752 22319388 22801597 24054432 24165648 24179337 24563136 25060672 25095096 25507872 26024544 26058968 27025488 27061236 27186354 27470016 27597024 27633528 28063504 28193256 28656992 28696356 29277612 29316339 29759184 30903768 31087719 31571442 31717413 32220864 32239116 33460128 33479082 35318592 36033984 36081648 36248472 36844704 37591008 38261808 39036816 39088452 39678912 40591854 40779531 41205024 41450292 42095256 42289884 42345823 42985488 43916418 44638776 45603194 47357163 48108864 48331296 48358674 50190192 50218623 51015744 52049088 52117936 54050976 54122472 54372708 55194048 55267056 56127008 56386512 57313984 57392712 58555224 58632678 59518368 60887781 61807536 62175438 63142884 63434826 64478232 66920256 66958164 68404791 72163296 72496944 72538011 73689408 75182016 76523616 78073632 78176904 81183708 81559062 82410048 82900584 84190512 84579768 84691646 85970976 87832836 87949017 89277552 91206388 93263157 94714326 95152239 96662592 96717348 100380384 100437246 104235872 108101952 108244944 108745416 110534112 112254016 112773024 114785424 117110448 117265356 119036736 121775562 123615072 124350876 126285768 126869652 127037469 128956464 133916328 136809582 142071489 144326592 144993888 145076022 153047232 156147264 156353808 162367416 163118124 165801168 168381024 169159536 169383292 171941952 175665672 175898034 178555104 182412776 182663343 186526314 189428652 190304478 193434696 200760768 200874492 205214373 208471744 216489888 217490832 217614033 221068224 225546048 229570848 234220896 234530712 243551124 247230144 248701752 252571536 253739304 254074938 257912928 263847051 267832656 273619164 284142978 285456717 289987776 290152044 296420761 312707616 324734832 326236248 331602336 336762048 338319072 338766584 351331344 351796068 357110208 364825552 365326686 373052628 378857304 380608956 381112407 386869392 401748984 410428746 426214467 432979776 434981664 435228066 459141696 468441792 469061424 487102248 497403504 505143072 507478608 508149876 515825856 527694102 535665312 547238328 568285956 570913434 580304088 592841522 615643119 625415232 649469664 652472496 652842099 663204672 676638144 677533168 702662688 703592136 729651104 730653372 746105256 757714608 761217912 762224814 773738784 791541153 803497968 820857492 852428934 869963328 870456132 889262283 938122848 974204496 994807008 1010286144 1014957216 1016299752 1055388204 1071330624 1094476656 1136571912 1141826868 1143337221 1160608176 1185683044 1231286238 1278643401 1298939328 1304944992 1305684198 1355066336 1405325376 1407184272 1459302208 1461306744 1492210512 1515429216 1522435824 1524449628 1547477568 1583082306 1606995936 1641714984 1704857868 1740912264 1778524566 1846929357 1876245696 1948408992 1989614016 2029914432 2032599504 2110776408 2188953312 2273143824 2283653736 2286674442 2321216352 2371366088 2374623459 2462572476 2557286802 2609889984 2611368396 2667786849 2710132672 2814368544 2922613488 2984421024 3030858432 3044871648 3048899256 3166164612 3213991872 3283429968 3409715736 3430011663 3481824528 3557049132 3693858714 3896817984 4065199008 4221552816 4377906624 4546287648 4567307472 4573348884 4642432704 4742732176 4749246918 4925144952 5114573604 5222736792 5335573698 5540788071 5628737088 5845226976 5968842048 6089743296 6097798512 6332329224 6566859936 6819431472 6860023326 6963649056 7114098264 7387717428 8003360547 8130398016 8443105632 9092575296 9134614944 9146697768 9485464352 9498493836 9850289904 10229147208 10290034989 10445473584 10671147396 11081576142 11690453952 12195597024 12664658448 13133719872 13638862944 13720046652 13927298112 14228196528 14775434856 16006721094 16622364213 16886211264 18269229888 18293395536 18970928704 18996987672 19700579808 20458294416 20580069978 20890947168 21342294792 22163152284 24010081641 24391194048 25329316896 27277725888 27440093304 28456393056 29550869712 30870104967 32013442188 33244728426 36586791072 37993975344 39401159616 40916588832 41160139956 41781894336 42684589584 44326304568 48020163282 50658633792 54880186608 56912786112 59101739424 61740209934 64026884376 66489456852 72030244923 73173582144 75987950688 81833177664 82320279912 85369179168 88652609136 96040326564 109760373216 118203478848 123480419868 128053768752 132978913704 144060489846 151975901376 164640559824 170738358336 177305218272 192080653128 216090734769 219520746432 246960839736 256107537504 265957827408 288120979692 329281119648 354610436544 384161306256 432181469538 493921679472 512215075008 531915654816 576241959384 658562239296 768322612512 864362939076 987843358944 1063831309632 1152483918768 1536645225024 1728725878152 1975686717888 2304967837536 3457451756304 4609935675072 6914903512608 13829807025216
- Sum of all divisors σ(n): 51141357167424
- Sum of proper divisors (its aliquot sum) s(n): 37311550142208
- 13829807025216 is an abundant number, because the sum of its proper divisors (37311550142208) is greater than itself. Its abundance is 23481743116992
Bases of 13829807025216
- Binary: 110010010100000000001011110000101100010000002
- Hexadecimal: 0xC9400BC2C40
- Base-36: 4WHBQ1000
Squares and roots of 13829807025216
- 13829807025216 squared (138298070252162) is 191263562354713827259846656
- 13829807025216 cubed (138298070252163) is 2645138158321059759571481970259685277696
-
The
square root of 13829807025216 is 3718844.8509202425 -
The
cube root of 13829807025216 is 24003.3600765567
Scales and comparisons
How big is 13829807025216?- 13,829,807,025,216 seconds is equal to 439,745 years, 4 weeks, 2 days, 22 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,829,807,025,216 would take you about one million, ninety-nine thousand, three hundred sixty-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 13829807025216 cubic inches would be around 2000.3 feet tall.
Recreational maths with 13829807025216
- 13829807025216 backwards is 61252070892831
- 13829807025216 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13829807025216's digits is 54
- More coming soon!
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The information we have on file for 13829807025216 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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