13128770823168
13,128,770,823,168 is an even composite number composed of six prime numbers multiplied together.
13128770823168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13128770823168:
210 × 3 × 73 × 112 × 13 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 11 × 11 × 13 × 89 × 89)See below for interesting mathematical facts about the number 13128770823168 from the Numbermatics database.
Names of 13128770823168
- Cardinal: 13128770823168 can be written as Thirteen trillion, one hundred twenty-eight billion, seven hundred seventy million, eight hundred twenty-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3128770823168 × 1013
Factors of 13128770823168
Divisors of 13128770823168
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 49 52 56 64 66 77 78 84 88 89 91 96 98 104 112 121 128 132 143 147 154 156 168 176 178 182 192 196 208 224 231 242 256 264 267 273 286 294 308 312 336 343 352 356 363 364 384 392 416 429 448 462 484 512 528 534 539 546 572 588 616 623 624 637 672 686 704 712 726 728 768 784 832 847 858 896 924 968 979 1001 1024 1029 1056 1068 1078 1092 1144 1157 1176 1232 1246 1248 1274 1344 1372 1408 1424 1452 1456 1536 1568 1573 1617 1664 1694 1716 1792 1848 1869 1911 1936 1958 2002 2058 2112 2136 2156 2184 2288 2314 2352 2464 2492 2496 2541 2548 2688 2744 2816 2848 2904 2912 2937 3003 3072 3136 3146 3234 3328 3388 3432 3471 3584 3696 3738 3773 3822 3872 3916 4004 4116 4224 4272 4312 4361 4368 4459 4576 4628 4704 4719 4928 4984 4992 5082 5096 5376 5488 5632 5696 5808 5824 5874 5929 6006 6272 6292 6468 6656 6776 6853 6864 6942 7007 7168 7392 7476 7546 7644 7744 7832 7921 8008 8099 8232 8448 8544 8624 8722 8736 8918 9152 9256 9408 9438 9856 9968 9984 10164 10192 10752 10769 10976 11011 11264 11319 11392 11616 11648 11748 11858 12012 12544 12584 12727 12936 13083 13312 13377 13552 13706 13728 13884 14014 14784 14952 15092 15288 15488 15664 15842 16016 16198 16464 16896 17088 17248 17444 17472 17787 17836 18304 18512 18816 18876 19712 19936 19968 20328 20384 20559 21021 21504 21538 21952 22022 22638 22784 23232 23296 23496 23716 23763 24024 24297 25088 25168 25454 25872 26166 26754 27104 27412 27456 27768 28028 29568 29904 30184 30527 30576 30976 31328 31684 32032 32307 32396 32928 33033 33792 34176 34496 34888 34944 35574 35672 36608 37024 37632 37752 38181 39424 39872 39936 40656 40768 41118 41503 42042 43076 43904 44044 45276 45568 46464 46592 46992 47432 47526 47971 48048 48594 49049 50176 50336 50908 51744 52332 53508 54208 54824 54912 55447 55536 56056 56693 59136 59808 60368 61054 61152 61952 62656 63368 64064 64614 64792 65856 66066 68352 68992 69776 69888 71148 71344 73216 74048 75264 75383 75504 76362 77077 78848 79744 81312 81536 82236 83006 84084 86152 87131 87808 88088 89089 90552 91136 91581 92928 93184 93984 94864 95052 95942 96096 97188 98098 100672 101816 102973 103488 104664 107016 108416 109648 109824 110894 111072 112112 113386 118272 119616 120736 122108 122304 123904 124509 125312 126736 128128 129228 129584 131712 132132 136704 137984 139552 139776 139997 142296 142688 143913 146432 147147 148096 150528 150766 151008 152724 154154 159488 162624 163072 164472 166012 166341 168168 170079 172304 174262 175616 176176 178178 181104 183162 185856 187968 189728 190104 191884 192192 194376 196196 201344 203632 205946 206976 209328 214032 216832 219296 219648 221788 222144 224224 226149 226772 231231 236544 239232 241472 244216 244608 249018 250624 253472 256256 258456 259168 261393 263424 264264 267267 273408 275968 279104 279552 279994 284592 285376 287826 294294 296192 301532 302016 305448 308308 308919 318976 325248 326144 328944 332024 332682 335797 336336 340158 344608 348524 351232 352352 356356 362208 366324 371712 375936 379456 380208 383768 384384 388129 388752 392392 396851 402688 407264 411892 413952 418656 419991 428064 433664 438592 439296 443576 444288 448448 452298 453544 462462 478464 482944 488432 489216 498036 501248 506944 512512 516912 518336 522786 526848 527681 528528 534534 539539 551936 558208 559988 569184 570752 575652 588588 592384 603064 604032 609917 610896 616616 617838 623623 637952 650496 652288 657888 664048 665364 671594 672672 680316 689216 697048 704704 712712 720811 724416 732648 751872 758912 760416 767536 768768 776258 777504 784784 793702 805376 814528 823784 827904 837312 839982 856128 867328 877184 887152 888576 896896 904596 907088 924924 956928 958441 965888 976864 978432 979979 996072 1002496 1007391 1013888 1025024 1033824 1036672 1045572 1053696 1055362 1057056 1069068 1079078 1116416 1119976 1132703 1138368 1141504 1151304 1164387 1177176 1184768 1190553 1206128 1208064 1219834 1221792 1233232 1235676 1247246 1300992 1315776 1328096 1330728 1343188 1345344 1360632 1378432 1394096 1409408 1425424 1441622 1448832 1465296 1503744 1517824 1520832 1535072 1537536 1552516 1555008 1569568 1583043 1587404 1610752 1618617 1629056 1647568 1655808 1674624 1679964 1712256 1754368 1774304 1777152 1793792 1809192 1814176 1829751 1849848 1870869 1913856 1916882 1931776 1953728 1956864 1959958 1992144 2014782 2027776 2067648 2073344 2091144 2110724 2114112 2138136 2158156 2162433 2232832 2239952 2265406 2276736 2283008 2302608 2328774 2354352 2381106 2412256 2416128 2439668 2443584 2466464 2471352 2494492 2601984 2631552 2656192 2661456 2686376 2690688 2716903 2721264 2756864 2788192 2818816 2850848 2875323 2883244 2897664 2930592 2939937 3007488 3035648 3041664 3070144 3075072 3105032 3110016 3139136 3166086 3174808 3237234 3258112 3295136 3349248 3359928 3398109 3424512 3508736 3548608 3554304 3587584 3618384 3628352 3659502 3693767 3699696 3741738 3833764 3863552 3907456 3919916 3984288 4029564 4055552 4135296 4146688 4182288 4221448 4228224 4269419 4276272 4316312 4324866 4365361 4465664 4479904 4530812 4553472 4566016 4605216 4657548 4708704 4762212 4824512 4832256 4879336 4887168 4932928 4942704 4988984 5045677 5263104 5312384 5322912 5372752 5381376 5433806 5442528 5513728 5576384 5637632 5701696 5750646 5766488 5795328 5861184 5879874 6071296 6083328 6140288 6210064 6220032 6278272 6332172 6349616 6474468 6516224 6590272 6698496 6709087 6719856 6796218 6849024 6859853 7017472 7097216 7175168 7236768 7256704 7319004 7387534 7399392 7483476 7667528 7814912 7839832 7928921 7968576 8059128 8111104 8150709 8270592 8293376 8364576 8442896 8456448 8538838 8552544 8632624 8649732 8730722 8959808 9061624 9106944 9210432 9315096 9417408 9524424 9649024 9758672 9774336 9865856 9885408 9977968 10091354 10526208 10624768 10645824 10745504 10762752 10867612 10885056 11027456 11081301 11152768 11275264 11403392 11501292 11532976 11590656 11722368 11759748 12166656 12280576 12420128 12440064 12459733 12556544 12664344 12699232 12808257 12948936 13032448 13096083 13180544 13396992 13418174 13439712 13592436 13698048 13719706 14194432 14473536 14513408 14638008 14775068 14798784 14966952 15137031 15335056 15629824 15679664 15857842 15937152 16118256 16301418 16541184 16729152 16885792 16912896 17077676 17105088 17265248 17299464 17461444 17919616 18123248 18213888 18420864 18630192 18834816 19048848 19298048 19517344 19548672 19731712 19770816 19955936 20127261 20182708 20579559 21052416 21249536 21291648 21491008 21525504 21735224 21770112 22162602 22305536 22806784 23002584 23065952 23444736 23519496 23786763 24333312 24561152 24840256 24880128 24919466 25113088 25328688 25398464 25616514 25897872 26192166 26361088 26836348 26879424 27184872 27439412 28388864 28947072 29026816 29276016 29550136 29597568 29885933 29933904 30274062 30670112 31259648 31359328 31715684 31874304 32236512 32602836 33082368 33458304 33771584 33825792 34155352 34210176 34530496 34598928 34922888 35319739 35839232 36246496 36841728 37260384 37379199 37669632 38097696 38596096 39034688 39097344 39463424 39541632 39911872 40254522 40365416 41159118 42499072 42583296 42982016 43470448 43540224 44325204 44611072 45613568 46005168 46131904 46889472 46963609 47038992 47573526 48018971 49122304 49680512 49838932 50226176 50657376 50796928 51233028 51795744 52384332 52722176 53672696 53758848 54369744 54878824 55502447 56777728 57894144 58053632 58552032 59100272 59195136 59771866 59867808 60548124 61340224 62718656 63431368 63748608 64473024 65205672 66916608 67543168 68310704 68420352 69060992 69197856 69845776 70639478 71678464 72492992 73683456 74520768 74758398 75339264 76195392 77192192 78069376 78926848 79083264 79823744 80509044 80730832 82318236 85166592 85964032 86940896 87080448 87218131 88650408 89222144 89657799 91227136 92010336 92263808 93778944 93927218 94077984 95147052 96037942 99361024 99677864 101314752 101593856 102466056 103591488 104768664 105444352 105959217 107345392 107517696 108739488 109757648 111004894 115788288 117104064 118200544 118390272 119543732 119735616 121096248 122680448 125437312 126862736 127497216 128946048 130411344 133833216 135086336 136621408 136840704 138121984 138395712 139691552 140890827 141278956 143356928 144056913 144985984 147366912 149041536 149516796 150678528 152390784 156138752 158166528 159647488 161018088 161461664 164636472 166507341 170333184 171928064 173881792 174160896 174436262 177300816 179315598 184020672 184527616 187854436 188155968 190294104 192075884 198722048 199355728 202629504 203187712 204932112 207182976 209537328 211918434 214690784 215035392 217478976 219515296 222009788 231576576 234208128 236401088 236780544 239087464 239471232 242192496 245360896 250874624 253725472 257892096 260822688 261654393 267666432 270172672 273242816 273681408 276243968 276791424 279383104 281781654 282557912 288113826 289971968 298083072 299033592 304781568 312277504 316333056 319294976 322036176 322923328 328745263 329272944 333014682 343856128 347763584 348872524 354601632 358631196 368041344 369055232 375708872 376311936 380588208 384151768 388517129 397444096 398711456 405259008 406375424 409864224 414365952 419074656 423836868 429381568 430070784 434957952 439030592 444019576 468416256 472802176 478174928 478942464 484384992 490721792 501749248 507450944 515784192 521645376 523308786 540345344 546485632 552487936 553582848 558766208 563563308 565115824 576227652 579943936 596166144 598067184 609563136 610526917 624555008 638589952 644072352 645846656 657490526 658545888 666029364 695527168 697745048 709203264 717262392 736082688 738110464 751417744 752623872 761176416 768303536 777034258 797422912 810518016 819728448 828731904 838149312 847673736 858763136 869915904 878061184 888039152 936832512 945604352 956349856 957884928 968769984 981443584 986235789 1003498496 1014901888 1031568384 1043290752 1046617572 1092971264 1107165696 1117532416 1127126616 1130231648 1152455304 1159887872 1165551387 1192332288 1196134368 1219126272 1221053834 1288144704 1291693312 1314981052 1317091776 1332058728 1391054336 1395490096 1418406528 1434524784 1472165376 1502835488 1505247744 1522352832 1536607072 1554068516 1594845824 1621036032 1639456896 1657463808 1676298624 1695347472 1717526272 1739831808 1756122368 1776078304 1831580751 1873665024 1891208704 1912699712 1915769856 1937539968 1972471578 2029803776 2086581504 2093235144 2185942528 2214331392 2235064832 2254253232 2260463296 2304910608 2331102774 2392268736 2442107668 2576289408 2583386624 2629962104 2634183552 2664117456 2782108672 2790980192 2836813056 2869049568 2944330752 3005670976 3010495488 3044705664 3073214144 3108137032 3189691648 3278913792 3352597248 3390694944 3435052544 3479663616 3512244736 3552156608 3663161502 3782417408 3825399424 3875079936 3944943156 4059607552 4173163008 4186470288 4273688419 4371885056 4470129664 4508506464 4520926592 4609821216 4662205548 4784537472 4884215336 5152578816 5166773248 5259924208 5268367104 5328234912 5581960384 5673626112 5738099136 6011341952 6089411328 6146428288 6216274064 6379383296 6557827584 6705194496 6781389888 6870105088 7024489472 7104313216 7326323004 7650798848 7750159872 7889886312 8119215104 8346326016 8372940576 8547376838 9017012928 9041853184 9219642432 9324411096 9569074944 9768430672 10305157632 10519848416 10536734208 10656469824 11163920768 11347252224 11476198272 12022683904 12178822656 12292856576 12432548128 12758766592 12821065257 13115655168 13410388992 13562779776 14208626432 14652646008 15301597696 15500319744 15779772624 16745881152 17094753676 18034025856 18083706368 18439284864 18648822192 19138149888 19536861344 20610315264 21039696832 21073468416 21312939648 22327841536 22952396544 24045367808 24357645312 24585713152 24865096256 25642130514 27125559552 28417252864 29305292016 30603195392 31559545248 33491762304 34189507352 36068051712 36167412736 36878569728 37297644384 38276299776 39073722688 42079393664 42625879296 44655683072 45904793088 48090735616 49171426304 49730192512 51284261028 54251119104 56834505728 58610584032 63119090496 66983524608 68379014704 72136103424 73757139456 74595288768 78147445376 84158787328 85251758592 89311366144 91809586176 99460385024 102568522056 108502238208 117221168064 126238180992 133967049216 136758029408 144272206848 147514278912 149190577536 156294890752 168317574656 170503517184 198920770048 205137044112 234442336128 252476361984 267934098432 273516058816 298381155072 312589781504 336635149312 397841540096 410274088224 468884672256 504952723968 547032117632 596762310144 625179563008 820548176448 937769344512 1009905447936 1094064235264 1193524620288 1641096352896 1875538689024 2188128470528 3282192705792 4376256941056 6564385411584 13128770823168
- Sum of all divisors σ(n): 48854461846400
- Sum of proper divisors (its aliquot sum) s(n): 35725691023232
- 13128770823168 is an abundant number, because the sum of its proper divisors (35725691023232) is greater than itself. Its abundance is 22596920200064
Bases of 13128770823168
- Binary: 101111110000110001111011100010100100000000002
- Hexadecimal: 0xBF0C7B8A400
- Base-36: 4NJ9V68LC
Squares and roots of 13128770823168
- 13128770823168 squared (131287708231682) is 172364623327267364325556224
- 13128770823168 cubed (131287708231683) is 2262935637685370209796454544103945797632
-
The
square root of 13128770823168 is 3623364.5722129591 -
The
cube root of 13128770823168 is 23590.7286808053
Scales and comparisons
How big is 13128770823168?- 13,128,770,823,168 seconds is equal to 417,454 years, 15 weeks, 5 days, 12 minutes, 48 seconds.
-
To count from 1 to 13,128,770,823,168 would take you about one million, forty-three thousand, six hundred thirty-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 13128770823168 cubic inches would be around 1965.9 feet tall.
Recreational maths with 13128770823168
- 13128770823168 backwards is 86132807782131
- The number of decimal digits it has is: 14
- The sum of 13128770823168's digits is 57
- 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 13128770823168 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 13128770823168 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13128770823168/
Chicago style:
Numbermatics. 2024. "Number 13128770823168 - Facts about the integer". https://numbermatics.com/n/13128770823168/
The information we have on file for 13128770823168 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 13128770823168, math, Factors of 13128770823168, curriculum, school, college, exams, university, Prime factorization of 13128770823168, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, one hundred twenty-eight billion, seven hundred seventy million, eight hundred twenty-three thousand, one hundred sixty-eight.