13918441342800
13,918,441,342,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13918441342800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 900 divisors.
13918441342800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 13918441342800:
24 × 3 × 52 × 232 × 294 × 31
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 23 × 29 × 29 × 29 × 29 × 31)See below for interesting mathematical facts about the number 13918441342800 from the Numbermatics database.
Names of 13918441342800
- Cardinal: 13918441342800 can be written as Thirteen trillion, nine hundred eighteen billion, four hundred forty-one million, three hundred forty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39184413428 × 1013
Factors of 13918441342800
Divisors of 13918441342800
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 29 30 31 40 46 48 50 58 60 62 69 75 80 87 92 93 100 115 116 120 124 138 145 150 155 174 184 186 200 230 232 240 248 276 290 300 310 345 348 368 372 400 435 460 464 465 496 529 552 575 580 600 620 667 690 696 713 725 744 775 841 870 899 920 930 1058 1104 1150 1160 1200 1240 1334 1380 1392 1426 1450 1488 1550 1587 1682 1725 1740 1798 1840 1860 2001 2116 2139 2175 2300 2320 2325 2480 2523 2645 2668 2697 2760 2852 2900 3100 3174 3335 3364 3450 3480 3565 3596 3720 4002 4205 4232 4278 4350 4495 4600 4650 5046 5290 5336 5394 5520 5704 5800 6200 6348 6670 6728 6900 6960 7130 7192 7440 7935 8004 8410 8464 8556 8700 8990 9200 9300 10005 10092 10580 10672 10695 10788 11408 11600 12400 12615 12696 13225 13340 13456 13485 13800 14260 14384 15341 15870 16008 16399 16675 16820 17112 17400 17825 17980 18600 19343 20010 20184 20677 21025 21160 21390 21576 22475 24389 25230 25392 26071 26450 26680 26970 27600 28520 30682 31740 32016 32798 33350 33640 34224 34800 35650 35960 37200 38686 39675 40020 40368 41354 42050 42320 42780 43152 44950 46023 48778 49197 50025 50460 52142 52900 53360 53475 53940 57040 58029 61364 62031 63075 63480 65596 66700 67280 67425 71300 71920 73167 76705 77372 78213 79350 80040 81995 82708 84100 85560 89900 92046 96715 97556 98394 100050 100920 103385 104284 105800 106950 107880 116058 121945 122728 124062 126150 126960 130355 131192 133400 134850 142600 146334 153410 154744 156426 158700 160080 163990 165416 168200 171120 179800 184092 193430 195112 196788 200100 201840 206770 208568 211600 213900 215760 230115 232116 243890 245456 245985 248124 252300 260710 262384 266800 269700 285200 290145 292668 306820 309488 310155 312852 317400 327980 330832 336400 359600 365835 368184 383525 386860 390224 391065 393576 400200 409975 413540 417136 427800 444889 460230 464232 475571 483575 487780 491970 496248 504600 516925 521420 539400 560947 580290 585336 599633 609725 613640 620310 625704 634800 651775 655960 707281 731670 736368 756059 767050 773720 782130 787152 800400 819950 827080 855600 889778 920460 928464 951142 967150 975560 983940 992496 1009200 1033850 1042840 1078800 1121894 1150575 1160580 1170672 1199266 1219450 1227280 1229925 1240620 1251408 1303550 1311920 1334667 1414562 1426713 1450725 1463340 1512118 1534100 1547440 1550775 1564260 1639900 1654160 1682841 1779556 1798899 1829175 1840920 1902284 1934300 1951120 1955325 1967880 2067700 2085680 2121843 2224445 2243788 2268177 2301150 2321160 2377855 2398532 2438900 2459850 2481240 2607100 2669334 2804735 2829124 2853426 2901450 2926680 2998165 3024236 3068200 3101550 3128520 3279800 3365682 3536405 3559112 3597798 3658350 3681840 3780295 3804568 3868600 3910650 3935760 4135400 4243686 4448890 4487576 4536354 4602300 4642320 4755710 4797064 4877800 4919700 4962480 5214200 5338668 5609470 5658248 5706852 5802900 5853360 5996330 6048472 6136400 6203100 6257040 6559600 6673335 6731364 7072810 7118224 7133565 7195596 7316700 7560590 7609136 7737200 7821300 8270800 8414205 8487372 8897780 8975152 8994495 9072708 9204600 9511420 9594128 9755600 9839400 10428400 10609215 10677336 11122225 11218940 11316496 11340885 11413704 11605800 11889275 11992660 12096944 12406200 12901781 13346670 13462728 13791559 14023675 14145620 14267130 14391192 14633400 14990825 15121180 15642600 16267463 16828410 16974744 17389357 17682025 17795560 17988990 18145416 18409200 18901475 19022840 19678800 21218430 21354672 21925711 22244450 22437880 22681770 22827408 23211600 23778550 23985320 24812400 25803562 26693340 26925456 27583118 28047350 28291240 28534260 28782384 29266800 29981650 30242360 31285200 32534926 33366675 33656820 33949488 34778714 35364050 35591120 35667825 35977980 36290832 37802950 38045680 38705343 41374677 42071025 42436860 43851422 44488900 44875760 44972475 45363540 47557100 47970640 48802389 51607124 52168071 53046075 53386680 55166236 56094700 56582480 56704425 57068520 59963300 60484720 64508905 65069852 65777133 66733350 67313640 68957795 69557428 70728100 71335650 71955960 75605900 77410686 81337315 82749354 84142050 84873720 86946785 87702844 88977800 89944950 90727080 95114200 97604778 103214248 104336142 106092150 106773360 109628555 110332472 112189400 113408850 114137040 119926600 129017810 130139704 131554266 133466700 134627280 137915590 139114856 141456200 142671300 143911920 151211800 154821372 162674630 165498708 168284100 169747440 173893570 175405688 177955600 179889900 181454160 190228400 193526715 195209556 206428496 206873385 208672284 212184300 219257110 220664944 224378800 226817700 239853200 244011945 258035620 260279408 260840355 263108532 266933400 275831180 278229712 282912400 285342600 302423600 309642744 322544525 325349260 328885665 330997416 336568200 344788975 347787140 350811376 359779800 374151649 387053430 390419112 399955211 406686575 413746770 417344568 424368600 434733925 438514220 453635400 488023890 504291353 516071240 521680710 526217064 533866800 548142775 551662360 570685200 619285488 645089050 650698520 657771330 661994832 673136400 689577950 695574280 719559600 748303298 774106860 780838224 799910422 813373150 827493540 834689136 848737200 869467850 877028440 907270800 967633575 976047780 1008582706 1032142480 1034366925 1043361420 1052434128 1096285550 1103324720 1122454947 1199865633 1220059725 1290178100 1301397040 1304201775 1315542660 1379155900 1391148560 1496606596 1512874059 1548213720 1599820844 1626746300 1644428325 1654987080 1738935700 1754056880 1870758245 1935267150 1952095560 1999776055 2017165412 2068733850 2086722840 2192571100 2244909894 2399731266 2440119450 2521456765 2580356200 2608403550 2631085320 2758311800 2993213192 3025748118 3096427440 3199641688 3253492600 3288856650 3309974160 3477871400 3741516490 3870534300 3904191120 3999552110 4034330824 4137467700 4173445680 4385142200 4489819788 4799462532 4880238900 5042913530 5160712400 5216807100 5262170640 5516623600 5612274735 5986426384 5999328165 6051496236 6399283376 6506985200 6577713300 6955742800 7483032980 7564370295 7741068600 7999104220 8068661648 8274935400 8770284400 8979639576 9353791225 9598925064 9760477800 9998880275 10085827060 10433614200 11224549470 11598701119 11998656330 12102992472 12607283825 13155426600 14966065960 15128740590 15482137200 15998208440 16549870800 17959279152 18707582450 19197850128 19520955600 19997760550 20171654120 20867228400 22449098940 23197402238 23997312660 24205984944 25214567650 26310853200 28061373675 29932131920 29996640825 30257481180 31996416880 34796103357 37415164900 37821851475 39995521100 40343308240 44898197880 46394804476 47994625320 50429135300 56122747350 57993505595 59993281650 60514962360 69592206714 74830329800 75643702950 79991042200 89796395760 92789608952 95989250640 100858270600 112245494700 115987011190 119986563300 121029924720 139184413428 149660659600 151287405900 159982084400 173980516785 185579217904 201716541200 224490989400 231974022380 239973126600 278368826856 289967527975 302574811800 347961033570 448981978800 463948044760 479946253200 556737653712 579935055950 605149623600 695922067140 869902583925 927896089520 1159870111900 1391844134280 1739805167850 2319740223800 2783688268560 3479610335700 4639480447600 6959220671400 13918441342800
- Sum of all divisors σ(n): 49829947040384
- Sum of proper divisors (its aliquot sum) s(n): 35911505697584
- 13918441342800 is an abundant number, because the sum of its proper divisors (35911505697584) is greater than itself. Its abundance is 21993064354784
Bases of 13918441342800
- Binary: 110010101000101000111100000010000111010100002
- Hexadecimal: 0xCA8A3C08750
- Base-36: 4XM1KM15C
Squares and roots of 13918441342800
- 13918441342800 squared (139184413428002) is 193723009412964267111840000
- 13918441342800 cubed (139184413428003) is 2696322343265035413668536207378752000000
-
The
square root of 13918441342800 is 3730742.7333977345 -
The
cube root of 13918441342800 is 24054.5295662953
Scales and comparisons
How big is 13918441342800?- 13,918,441,342,800 seconds is equal to 442,563 years, 19 weeks, 6 days, 2 hours, 20 minutes.
-
To count from 1 to 13,918,441,342,800 would take you about one million, one hundred six thousand, four hundred eight 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 13918441342800 cubic inches would be around 2004.5 feet tall.
Recreational maths with 13918441342800
- 13918441342800 backwards is 00824314481931
- 13918441342800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13918441342800's digits is 48
- 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 13918441342800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 13918441342800 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13918441342800/
Chicago style:
Numbermatics. 2024. "Number 13918441342800 - Facts about the integer". https://numbermatics.com/n/13918441342800/
The information we have on file for 13918441342800 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 13918441342800, math, Factors of 13918441342800, curriculum, school, college, exams, university, Prime factorization of 13918441342800, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred eighteen billion, four hundred forty-one million, three hundred forty-two thousand, eight hundred.