13971867413504
13,971,867,413,504 is an even composite number composed of five prime numbers multiplied together.
What does the number 13971867413504 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1056 divisors.
13971867413504 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 13971867413504:
210 × 73 × 115 × 13 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 13 × 19)See below for interesting mathematical facts about the number 13971867413504 from the Numbermatics database.
Names of 13971867413504
- Cardinal: 13971867413504 can be written as Thirteen trillion, nine hundred seventy-one billion, eight hundred sixty-seven million, four hundred thirteen thousand, five hundred four.
Scientific notation
- Scientific notation: 1.3971867413504 × 1013
Factors of 13971867413504
Divisors of 13971867413504
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 19 22 26 28 32 38 44 49 52 56 64 76 77 88 91 98 104 112 121 128 133 143 152 154 176 182 196 208 209 224 242 247 256 266 286 304 308 343 352 364 392 416 418 448 484 494 512 532 539 572 608 616 637 686 704 728 784 832 836 847 896 931 968 988 1001 1024 1064 1078 1144 1216 1232 1274 1331 1372 1408 1456 1463 1568 1573 1664 1672 1694 1729 1792 1862 1936 1976 2002 2128 2156 2288 2299 2432 2464 2548 2662 2717 2744 2816 2912 2926 3136 3146 3328 3344 3388 3458 3584 3724 3773 3872 3952 4004 4256 4312 4459 4576 4598 4864 4928 5096 5324 5434 5488 5632 5824 5852 5929 6272 6292 6517 6656 6688 6776 6916 7007 7168 7448 7546 7744 7904 8008 8512 8624 8918 9152 9196 9317 9728 9856 10192 10241 10648 10868 10976 11011 11264 11648 11704 11858 12103 12544 12584 13034 13312 13376 13552 13832 14014 14641 14896 15092 15488 15808 16016 16093 17024 17248 17303 17836 18304 18392 18634 19019 19456 19712 20384 20482 21296 21736 21952 22022 23296 23408 23716 24206 25088 25168 25289 26068 26752 27104 27664 28028 29282 29792 29887 30184 30976 31616 32032 32186 34048 34496 34606 35672 36608 36784 37268 38038 39424 40768 40964 41503 42592 43472 43904 44044 46592 46816 47432 48412 49049 50176 50336 50578 52136 53504 54208 55328 56056 58564 59584 59774 60368 61952 63232 64064 64372 65219 68096 68992 69212 71344 71687 73216 73568 74536 76076 77077 78848 81536 81928 83006 84721 85184 86944 87808 88088 93184 93632 94864 96824 98098 100672 101156 102487 104272 107008 108416 110656 112112 112651 117128 119168 119548 120736 121121 123904 126464 128128 128744 130438 133133 136192 137984 138424 142688 143374 146432 147136 149072 152152 154154 161051 163072 163856 166012 169442 170368 173888 175616 176176 177023 187264 189728 190333 193648 196196 201344 202312 204974 208544 209209 214016 216832 221312 224224 225302 234256 238336 239096 241472 242242 252928 256256 257488 260876 266266 275968 276848 278179 285376 286748 294272 298144 304304 308308 322102 326144 327712 328757 332024 338884 340736 347776 351232 352352 354046 374528 379456 380666 387296 392392 402688 404624 409948 417088 418418 433664 442624 448448 450604 456533 468512 476672 478192 482944 484484 512512 514976 521752 532532 539539 551936 553696 556358 570752 573496 588544 596288 608608 616616 644204 652288 655424 657514 664048 677768 681472 695552 704704 708092 717409 749056 758912 761332 774592 784784 788557 805376 809248 819896 834176 836836 847847 867328 885248 896896 901208 913066 931931 937024 953344 956384 965888 968968 1025024 1029952 1043504 1065064 1079078 1107392 1112716 1127357 1141504 1146992 1177088 1192576 1217216 1233232 1239161 1288408 1310848 1315028 1328096 1332331 1355536 1362944 1391104 1409408 1416184 1434818 1464463 1498112 1517824 1522664 1549184 1569568 1577114 1610752 1618496 1639792 1668352 1673672 1695694 1770496 1793792 1802416 1826132 1863862 1874048 1912768 1931776 1937936 1947253 2059904 2087008 2093663 2130128 2158156 2214784 2225432 2254714 2283008 2293984 2301299 2354176 2385152 2434432 2466464 2478322 2576816 2621696 2630056 2656192 2664662 2711072 2782208 2818816 2832368 2869636 2928926 3035648 3045328 3059969 3098368 3139136 3154228 3236992 3279584 3336704 3347344 3391388 3587584 3604832 3616327 3652264 3727724 3748096 3825536 3863552 3875872 3894506 4119808 4174016 4187326 4260256 4316312 4429568 4450864 4509428 4566016 4587968 4602598 4770304 4868864 4932928 4956644 5021863 5153632 5243392 5260112 5312384 5329324 5422144 5637632 5664736 5739272 5857852 5934929 6071296 6090656 6119938 6196736 6278272 6308456 6473984 6559168 6673408 6694688 6782776 7175168 7209664 7232654 7304528 7455448 7496192 7651072 7751744 7789012 7891499 8239616 8348032 8374652 8520512 8632624 8674127 8859136 8901728 9018856 9175936 9205196 9326317 9540608 9737728 9865856 9913288 10043726 10251241 10307264 10486784 10520224 10624768 10658648 10844288 11275264 11329472 11478544 11715704 11869858 12181312 12239876 12393472 12556544 12616912 12947968 13118336 13389376 13565552 13630771 14419328 14465308 14609056 14655641 14910896 14992384 15302144 15503488 15578024 15782998 16109093 16479232 16696064 16749304 17041024 17265248 17348254 17718272 17803456 18037712 18351872 18410392 18652634 19475456 19731712 19826576 20087452 20502482 20614528 21040448 21249536 21317296 21419783 21688576 22658944 22957088 23431408 23739716 24362624 24479752 25113088 25233824 25314289 25895936 26236672 26778752 27131104 27261542 28838656 28930616 29218112 29311282 29821792 30604288 31006976 31156048 31565996 32218186 33392128 33498608 34082048 34530496 34696508 35606912 36075424 36703744 36820784 37305268 39463424 39653152 39779597 40174904 41004964 41229056 42080896 42499072 42634592 42839566 43377152 45317888 45914176 46862816 47479432 48725248 48959504 50226176 50467648 50628578 52473344 53557504 54262208 54523084 55240493 57677312 57861232 58436224 58622564 59643584 62013952 62312096 63131992 64436372 65284219 66784256 66997216 68164096 69060992 69393016 71213824 72150848 73407488 73641568 74610536 78926848 79306304 79559194 80349808 82009928 82458112 84161792 85269184 85679132 86754304 90635776 91828352 93725632 94958864 95415397 97450496 97919008 100935296 101257156 102589487 104946688 107115008 108524416 109046168 110480986 112763651 115354624 115722464 116872448 117245128 119287168 124027904 124624192 126263984 128872744 130568438 133994432 136328192 138121984 138786032 142427648 144301696 147283136 149221072 149938481 158612608 159118388 160699616 164019856 164916224 168323584 170538368 171358264 177200023 181271552 183656704 187451264 189917728 190830794 194900992 195838016 201870592 202514312 205178974 214230016 217048832 218092336 220961972 225527302 231444928 233744896 234490256 238574336 249248384 252527968 257745488 261136876 267988864 276243968 277572064 278457179 284855296 288603392 294566272 298442144 299876962 317225216 318236776 321399232 328039712 336647168 341076736 342716528 354400046 367313408 374902528 379835456 381661588 391676032 403741184 405028624 410357948 434097664 436184672 441923944 451054604 462889856 467489792 468980512 477148672 498496768 505055936 515490976 522273752 535977728 552487936 555144128 556914358 577206784 589132544 596884288 599753924 634450432 636473552 642798464 656079424 682153472 685433056 708800092 718126409 734626816 749805056 759670912 763323176 783352064 807482368 810057248 820715896 868195328 872369344 883847888 902109208 925779712 937961024 954297344 996993536 1010111872 1030981952 1044547504 1049569367 1071955456 1110288256 1113828716 1154413568 1178265088 1193768576 1199507848 1240400161 1268900864 1272947104 1285596928 1312158848 1364306944 1370866112 1417600184 1436252818 1499610112 1519341824 1526646352 1566704128 1620114496 1641431792 1744738688 1767695776 1804218416 1851559424 1875922048 1949200253 1993987072 2020223744 2061963904 2089095008 2099138734 2143910912 2220576512 2227657432 2356530176 2387537152 2399015696 2480800322 2545894208 2571193856 2624317696 2741732224 2835200368 2872505636 3038683648 3053292704 3133408256 3240228992 3282863584 3489477376 3535391552 3608436832 3703118848 3751844096 3898400506 4040447488 4123927808 4178190016 4198277468 4441153024 4455314864 4775074304 4798031392 4961600644 5091788416 5142387712 5248635392 5483464448 5670400736 5745011272 6077367296 6106585408 6480457984 6565727168 6978954752 7070783104 7216873664 7503688192 7796801012 8080894976 8247855616 8356380032 8396554936 8882306048 8910629728 9550148608 9596062784 9923201288 10183576832 10497270784 10966928896 11340801472 11490022544 12213170816 12960915968 13131454336 13644401771 13957909504 14141566208 14433747328 15007376384 15593602024 16495711232 16712760064 16793109872 17821259456 19192125568 19846402576 20367153664 21933857792 22681602944 22980045088 24426341632 25921831936 26262908672 27288803542 28283132416 28867494656 31187204048 33425520128 33586219744 35642518912 38384251136 39692805152 40734307328 45363205888 45960090176 48852683264 52525817344 54577607084 56566264832 57734989312 62374408096 66851040256 67172439488 71285037824 76768502272 79385610304 90726411776 91920180352 97705366528 105051634688 109155214168 115469978624 124748816192 134344878976 142570075648 153537004544 158771220608 181452823552 183840360704 218310428336 249497632384 268689757952 285140151296 317542441216 367680721408 436620856672 498995264768 537379515904 635084882432 735361442816 873241713344 997990529536 1074759031808 1270169764864 1746483426688 1995981059072 3492966853376 6985933706752 13971867413504
- Sum of all divisors σ(n): 40615493184000
- Sum of proper divisors (its aliquot sum) s(n): 26643625770496
- 13971867413504 is an abundant number, because the sum of its proper divisors (26643625770496) is greater than itself. Its abundance is 12671758356992
Bases of 13971867413504
- Binary: 110010110101000101000011000110101100000000002
- Hexadecimal: 0xCB51431AC00
- Base-36: 4YAL5454W
Squares and roots of 13971867413504
- 13971867413504 squared (139718674135042) is 195213079020534954921558016
- 13971867413504 cubed (139718674135043) is 2727491257456793686322290032219797848064
-
The
square root of 13971867413504 is 3737896.1212832013 -
The
cube root of 13971867413504 is 24085.2681172559
Scales and comparisons
How big is 13971867413504?- 13,971,867,413,504 seconds is equal to 444,262 years, 8 weeks, 4 days, 9 hours, 31 minutes, 44 seconds.
-
To count from 1 to 13,971,867,413,504 would take you about one million, one hundred ten thousand, six hundred fifty-five 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 13971867413504 cubic inches would be around 2007.1 feet tall.
Recreational maths with 13971867413504
- 13971867413504 backwards is 40531476817931
- The number of decimal digits it has is: 14
- The sum of 13971867413504's digits is 59
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13971867413504 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 13971867413504 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/13971867413504/
Chicago style:
Numbermatics. 2024. "Number 13971867413504 - Facts about the integer". https://numbermatics.com/n/13971867413504/
The information we have on file for 13971867413504 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 13971867413504, math, Factors of 13971867413504, curriculum, school, college, exams, university, Prime factorization of 13971867413504, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred seventy-one billion, eight hundred sixty-seven million, four hundred thirteen thousand, five hundred four.