27968049198144
27,968,049,198,144 is an even composite number composed of seven prime numbers multiplied together.
27968049198144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 27968049198144:
26 × 32 × 112 × 19 × 31 × 137 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 19 × 31 × 137 × 4973)See below for interesting mathematical facts about the number 27968049198144 from the Numbermatics database.
Names of 27968049198144
- Cardinal: 27968049198144 can be written as Twenty-seven trillion, nine hundred sixty-eight billion, forty-nine million, one hundred ninety-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 2.7968049198144 × 1013
Factors of 27968049198144
Divisors of 27968049198144
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 31 32 33 36 38 44 48 57 62 64 66 72 76 88 93 96 99 114 121 124 132 137 144 152 171 176 186 192 198 209 228 242 248 264 274 279 288 304 341 342 352 363 372 396 411 418 456 484 496 528 548 558 576 589 608 627 682 684 704 726 744 792 822 836 912 968 992 1023 1056 1089 1096 1116 1178 1216 1233 1254 1364 1368 1452 1488 1507 1584 1644 1672 1767 1824 1881 1936 1984 2046 2112 2178 2192 2232 2299 2356 2466 2508 2603 2728 2736 2904 2976 3014 3069 3168 3288 3344 3534 3648 3751 3762 3872 4092 4247 4356 4384 4464 4521 4598 4712 4932 4973 5016 5206 5301 5456 5472 5808 5952 6028 6138 6336 6479 6576 6688 6897 7068 7502 7524 7744 7809 8184 8494 8712 8768 8928 9042 9196 9424 9864 9946 10032 10412 10602 10912 10944 11253 11616 12056 12276 12741 12958 13152 13376 13563 13794 14136 14919 15004 15048 15618 16368 16577 16988 17424 17856 18084 18392 18848 19437 19728 19892 20064 20691 20824 21204 21824 22506 23232 23427 24112 24552 25482 25916 26304 27126 27588 28272 28633 29838 30008 30096 31236 32736 33154 33759 33976 34848 36168 36784 37696 38223 38874 39456 39784 40128 41382 41648 42408 44757 45012 46717 46854 48224 49104 49731 50964 51832 54252 54703 55176 56544 57266 58311 59676 60016 60192 62472 65472 66308 67518 67952 69696 71269 72336 73568 76446 77748 78912 79568 80693 82764 83296 84816 85899 89514 90024 93434 93708 94487 96448 98208 99462 101928 103664 108504 109406 110352 113088 114532 116622 119352 120032 120384 124944 132616 135036 135904 140151 142538 144672 147136 149193 152892 154163 155496 159136 161386 164109 165528 166592 169632 171798 179028 180048 186868 187416 188974 196416 198924 203856 207328 213807 217008 218812 220704 229064 233244 238704 240064 242079 249888 257697 265232 270072 271808 280302 283461 285076 289344 298386 305784 308326 310992 314963 318272 322772 328218 331056 339264 343596 358056 360096 373736 374832 377948 397848 407712 414656 420453 427614 434016 437624 441408 458128 462489 466488 477408 484158 492327 499776 513887 515394 530464 540144 560604 566922 570152 596772 601733 611568 616652 621984 629926 641421 645544 656436 662112 681301 687192 716112 720192 726237 747472 749664 755896 795696 815424 840906 850383 855228 868032 875248 887623 916256 924978 932976 944889 954816 968316 984654 1027774 1030788 1039357 1060928 1080288 1121208 1133844 1140304 1193544 1203466 1223136 1233304 1243968 1259852 1282842 1291088 1312872 1324224 1362602 1374384 1387467 1432224 1452474 1494944 1499328 1511792 1541661 1591392 1681812 1695793 1700766 1710456 1750496 1775246 1805199 1832512 1849956 1865952 1889778 1936632 1969308 2043903 2055548 2061576 2078714 2160576 2242416 2267688 2280608 2387088 2406932 2446272 2466608 2519704 2565684 2582176 2625744 2662869 2725204 2748768 2774934 2834667 2864448 2904948 2929097 2989888 3023584 3083322 3118071 3182784 3363624 3391586 3401532 3420912 3500992 3550492 3610398 3699912 3731904 3779556 3873264 3938616 4087806 4111096 4123152 4157428 4484832 4535376 4561216 4624983 4774176 4813864 4933216 5039408 5087379 5131368 5164352 5251488 5325738 5415597 5450408 5497536 5549868 5669334 5809896 5858194 6047168 6131709 6166644 6236142 6727248 6783172 6803064 6841824 7100984 7220796 7399824 7494311 7559112 7746528 7877232 7988607 8175612 8222192 8246304 8314856 8787291 8969664 9070752 9249966 9354213 9548352 9627728 9763853 9866432 10078816 10174758 10262736 10502976 10651476 10831194 10900816 11099736 11338668 11432927 11619792 11716388 12263418 12333288 12472284 12944719 13454496 13566344 13606128 13683648 14201968 14441592 14799648 14988622 15118224 15262137 15493056 15754464 15977214 16351224 16444384 16492608 16629712 17574582 18141504 18499932 18653723 18708426 19255456 19527706 20157632 20349516 20525472 21120331 21302952 21662388 21801632 22199472 22482933 22677336 22865854 23239584 23432776 24526836 24666576 24944568 25889438 26361873 26908992 27132688 27212256 28403936 28883184 29291559 29599296 29977244 30236448 30524274 31508928 31954428 32220067 32702448 32888768 33259424 34298781 35149164 36999864 37307446 37416852 38510912 38834157 39055412 40699032 41050944 42240662 42605904 43324776 43603264 44398944 44965866 45354672 45731708 46479168 46865552 49053672 49333152 49889136 51778876 52723746 54265376 54424512 55961169 56807872 57766368 58583118 59954488 60472896 61048548 63360993 63908856 64440134 65404896 66518848 67448799 68597562 70298328 73999728 74614892 74833704 77668314 78110824 81398064 82437421 84481324 85211808 86649552 87874677 88797888 89931732 90709344 91463416 93731104 96660201 98107344 98666304 99778272 102896343 103557752 105447492 108530752 111922338 115532736 116502471 117166236 119908976 122097096 126721986 127817712 128880268 130809792 134897598 137195124 140596656 142391909 147999456 149229784 149667408 155336628 156221648 162796128 164874842 167883507 168962648 170423616 173299104 175749354 179863464 181418688 182926832 187462208 190082979 193320402 196214688 199556544 205792686 207115504 210894984 223844676 232323641 233004942 234332472 239817952 244194192 247312263 253443972 255635424 257760536 269795196 274390248 281193312 284783818 289980603 295998912 298459568 299334816 310673256 312443296 325592256 329749684 335767014 337925296 346598208 351498708 354420737 359726928 365853664 380165958 386640804 392429376 401286289 411585372 414231008 421789968 427175727 447689352 464647282 466009884 468664944 479635904 488388384 494624526 506887944 511270848 515521072 539590392 548780496 562386624 569567636 579961206 596919136 598669632 621346512 624886592 659499368 671534028 675850592 696970923 702997416 708841474 719453856 731707328 741936789 760331916 773281608 802572578 823170744 828462016 843579936 854351454 895378704 929294564 932019768 937329888 976776768 989249052 1013775888 1031042144 1063262211 1079180784 1097560992 1139135272 1159922412 1193838272 1203858867 1242693024 1281527181 1318998736 1343068056 1351701184 1393941846 1405994832 1417682948 1438907712 1483873578 1520663832 1546563216 1566310999 1605145156 1646341488 1687159872 1708702908 1790757408 1858589128 1864039536 1874659776 1978498104 2027551776 2062084288 2090912769 2126524422 2158361568 2195121984 2278270544 2319844824 2407717734 2485386048 2555560051 2563054362 2637997472 2686136112 2787883692 2811989664 2835365896 2967747156 3041327664 3093126432 3132621998 3189786633 3210290312 3292682976 3417405816 3581514816 3611576601 3717178256 3728079072 3956996208 4055103552 4181825538 4253048844 4316723136 4414149179 4556541088 4639689648 4698932997 4815435468 5111120102 5126108724 5275994944 5372272224 5575767384 5623979328 5670731792 5935494312 6082655328 6186252864 6265243996 6379573266 6420580624 6585365952 6834811632 7223153202 7434356512 7456158144 7666680153 7913992416 8363651076 8506097688 8828298358 9113082176 9279379296 9397865994 9630870936 10222240204 10252217448 10744544448 11151534768 11341463584 11870988624 12165310656 12530487992 12759146532 12841161248 13242447537 13669623264 14096798991 14446306404 14868713024 15333360306 15827984832 16727302152 17012195376 17656596716 18558758592 18795731988 19261741872 20444480408 20504434896 22303069536 22682927168 23000040459 23741977248 25060975984 25518293064 25682322496 26484895074 27339246528 28193597982 28892612808 30666720612 33454604304 34024390752 35313193432 37591463976 38523483744 39727342611 40888960816 41008869792 44606139072 46000080918 47483954496 48555640969 50121951968 51036586128 52969790148 56387195964 57785225616 61333441224 66909208608 68048781504 70626386864 75182927952 77046967488 79454685222 81777921632 82017739584 92000161836 97111281938 100243903936 102073172256 105939580296 112774391928 115570451232 122666882448 133818417216 141252773728 145666922907 150365855904 158909370444 163555843264 184000323672 194222563876 204146344512 211879160592 225548783856 231140902464 245333764896 282505547456 291333845814 300731711808 317818740888 368000647344 388445127752 423758321184 437000768721 451097567712 490667529792 582667691628 635637481776 736001294688 776890255504 847516642368 874001537442 902195135424 1165335383256 1271274963552 1472002589376 1553780511008 1748003074884 2330670766512 2542549927104 3107561022016 3496006149768 4661341533024 6992012299536 9322683066048 13984024599072 27968049198144
- Sum of all divisors σ(n): 96463619965440
- Sum of proper divisors (its aliquot sum) s(n): 68495570767296
- 27968049198144 is an abundant number, because the sum of its proper divisors (68495570767296) is greater than itself. Its abundance is 40527521569152
Bases of 27968049198144
- Binary: 1100101101111110100011010001100110100010000002
- Hexadecimal: 0x196FD1A33440
- Base-36: 9WWCEDN40
Squares and roots of 27968049198144
- 27968049198144 squared (279680491981442) is 782211775949803241373044736
- 27968049198144 cubed (279680491981443) is 21876937433131688728877955914260640169984
-
The
square root of 27968049198144 is 5288482.6933766173 -
The
cube root of 27968049198144 is 30354.3351497449
Scales and comparisons
How big is 27968049198144?- 27,968,049,198,144 seconds is equal to 889,297 years, 23 weeks, 4 days, 3 hours, 2 minutes, 24 seconds.
-
To count from 1 to 27,968,049,198,144 would take you about two million, two hundred twenty-three thousand, two hundred forty-three 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 27968049198144 cubic inches would be around 2529.5 feet tall.
Recreational maths with 27968049198144
- 27968049198144 backwards is 44189194086972
- 27968049198144 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 27968049198144's digits is 72
- 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 27968049198144 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 27968049198144 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/27968049198144/
Chicago style:
Numbermatics. 2024. "Number 27968049198144 - Facts about the integer". https://numbermatics.com/n/27968049198144/
The information we have on file for 27968049198144 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 27968049198144, math, Factors of 27968049198144, curriculum, school, college, exams, university, Prime factorization of 27968049198144, STEM, science, technology, engineering, physics, economics, calculator, twenty-seven trillion, nine hundred sixty-eight billion, forty-nine million, one hundred ninety-eight thousand, one hundred forty-four.