13122963825448120830
13,122,963,825,448,120,830 is an even composite number composed of six prime numbers multiplied together.
What does the number 13122963825448120830 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
13122963825448120830 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13122963825448120830:
2 × 37 × 5 × 312 × 594 × 2272
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 31 × 31 × 59 × 59 × 59 × 59 × 227 × 227)See below for interesting mathematical facts about the number 13122963825448120830 from the Numbermatics database.
Names of 13122963825448120830
- Cardinal: 13122963825448120830 can be written as Thirteen quintillion, one hundred twenty-two quadrillion, nine hundred sixty-three trillion, eight hundred twenty-five billion, four hundred forty-eight million, one hundred twenty thousand, eight hundred thirty.
Scientific notation
- Scientific notation: 1.312296382544812083 × 1019
Factors of 13122963825448120830
Divisors of 13122963825448120830
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 5 6 9 10 15 18 27 30 31 45 54 59 62 81 90 93 118 135 155 162 177 186 227 243 270 279 295 310 354 405 454 465 486 531 558 590 681 729 810 837 885 930 961 1062 1135 1215 1362 1395 1458 1593 1674 1770 1829 1922 2043 2187 2270 2430 2511 2655 2790 2883 3186 3405 3481 3645 3658 4086 4185 4374 4779 4805 5022 5310 5487 5766 6129 6810 6962 7037 7290 7533 7965 8370 8649 9145 9558 9610 10215 10443 10935 10974 12258 12555 13393 14074 14337 14415 15066 15930 16461 17298 17405 18290 18387 20430 20886 21111 21870 22599 23895 25110 25947 26786 27435 28674 28830 30645 31329 32922 34810 35185 36774 37665 40179 42222 43011 43245 45198 47790 49383 51529 51894 52215 54870 55161 56699 61290 62658 63333 66965 67797 70370 71685 75330 77841 80358 82305 86022 86490 91935 93987 98766 103058 104430 105555 107911 110322 112995 113398 120537 126666 129033 129735 133930 135594 143370 148149 154587 155682 156645 164610 165483 170097 183870 187974 189999 200895 205379 211110 215055 215822 218147 225990 233523 241074 246915 257645 258066 259470 275805 281961 283495 296298 309174 313290 316665 323733 330966 338985 340194 361611 379998 389205 401790 410758 415183 430110 436294 444447 463761 467046 469935 493830 496449 510291 515290 539555 551610 563922 566990 569997 602685 616137 633330 645165 647466 654441 677970 700569 723222 740745 772935 778410 790187 827415 830366 845883 850485 888894 927522 939870 949995 971199 992898 1020582 1026895 1079110 1084833 1090735 1139994 1167615 1205370 1232274 1245549 1290330 1308882 1333341 1391283 1401138 1409805 1481490 1530873 1545870 1580374 1597399 1618665 1654830 1691766 1700970 1709991 1808055 1848411 1899990 1942398 1963323 2053790 2075915 2101707 2169666 2181470 2222235 2318805 2335230 2370561 2482245 2491098 2537649 2551455 2666682 2782566 2819610 2849985 2913597 3040211 3061746 3080685 3194798 3237330 3254499 3272205 3345241 3419982 3502845 3616110 3696822 3736647 3926646 3950935 4000023 4151830 4173849 4203414 4229415 4444470 4592619 4637610 4741122 4792197 4855995 4964490 5075298 5102910 5129973 5424165 5545233 5699970 5827194 5889969 6080422 6161370 6227745 6366749 6508998 6544410 6666705 6690482 6956415 7005690 7111683 7473294 7612947 7654365 7901870 7986995 8000046 8347698 8458830 8549955 8740791 9120633 9185238 9242055 9584394 9711990 9763497 9816615 10035723 10259946 10508535 10848330 11090466 11209941 11779938 11852805 12117361 12455490 12521547 12688245 12733498 12870673 13333410 13777857 13912830 14223366 14376591 14567985 15201055 15225894 15308730 15389919 15973990 16272495 16635699 16726205 17099910 17481582 17669907 18241266 18484110 18683235 19100247 19526994 19633230 20000115 20071446 20869245 21017070 21335049 22419882 22963095 23705610 23960985 24234722 24495797 25043094 25376490 25649865 25741346 26222373 27361899 27555714 27726165 28753182 29135970 29290491 29449845 30107169 30402110 30779838 31833745 32544990 33271398 33452410 33629823 35339814 35558415 36352083 37366470 37564641 38064735 38200494 38612019 40000230 41333571 41738490 42670098 43129773 43703955 45603165 45926190 46621033 47921970 48817485 48991594 49519369 49907097 50178615 51299730 52444746 53009721 54723798 55452330 56049705 57300741 58580982 58899690 60214338 60586805 62607735 63667490 64005147 64353365 67259646 68889285 71116830 71882955 72704166 73487391 75129282 76129470 76949595 77224038 78667119 82085697 82667142 83178495 86259546 87407910 88349535 90321507 91206330 93242066 94246541 95501235 97634970 99038738 99814194 100357230 100889469 106019442 106675245 109056249 112099410 112693923 114601482 115836057 121173610 122478985 124000713 125215470 128010294 128706730 129389319 131111865 136809495 137778570 139863099 143765910 146452455 146974782 148558107 149721291 150535845 153899190 157334238 159029163 164171394 166356990 168149115 171902223 176699070 179372449 180643014 181760415 187823205 188493082 191002470 192015441 193060095 197369219 201778938 206667855 213350490 215648865 218112498 220462173 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15513923114010 15803830871505 15860195700402 16607415492090 16858678364163 16978094956818 17715899297934 18145139148765 18731864849070 19356260344039 20052172503630 20268189874755 20340476971702 20720578253751 21298775800590 21774166978518 23022864726390 23144965211817 23270884671015 23790293550603 24321827849706 25467142435227 25716628013130 26433659500670 26573848946901 27925061605218 28097797273605 28296824928030 29526498829890 30078258755445 30510715457553 31607661743010 31948163700885 32661250467777 33717356728326 34534297089585 36290278297530 38574942019695 38712520688078 39650489251005 40536379749510 41441156507502 41887592407827 42445237392045 44289748244835 46289930423634 46541769342030 47580587101206 50576035092489 50851192429255 50934284870454 53147697893802 54435417446295 56195594547210 58068781032117 60156517510890 60804569624265 61021430915106 62161734761253 63896327401770 65322500935554 69068594179170 69812654013045 71370880651809 77149884039390 79300978502010 79721546840703 83775184815654 84293391820815 84890474784090 88579496489670 91532146372659 96781301720195 97983751403331 101152070184978 101702384858510 103602891268755 108870834892590 115724826059085 116137562064234 118951467753015 121609139248530 124323469522506 125662777223481 127335712176135 132869244734505 139625308026090 142741761303618 151728105277467 152553577287765 159443093681406 163306252338885 168586783641630 174206343096351 183064292745318 186485204283759 193562603440390 195967502806662 207205782537510 209437962039135 214112641955427 231449652118170 237902935506030 239164640522109 251325554446962 252880175462445 254671424352270 265738489469010 274596439117977 290343905160585 303456210554934 305107154575530 310808673806265 326612504677770 348412686192702 356854403259045 372970408567518 376988331670443 398607734203515 418875924078270 428225283910854 455184315832401 457660731863295 478329281044218 489918757016655 505760350924890 522619029289053 549192878235954 580687810321170 600044070665209 621617347612530 628313886117405 642337925866281 713708806518090 717493921566327 753976663340886 758640526387335 797215468407030 823789317353931 871031715481755 910368631664802 915321463726590 932426021418795 979837514033310 1045238058578106 1070563209777135 1195823202610545 1200088141330418 1256627772234810 1284675851732562 1365552947497203 1372982195589885 1434987843132654 1517281052774670 1567857087867159 1647578634707862 1742063430963510 1800132211995627 1864852042837590 1884941658352215 1927013777598843 2141126419554270 2275921579162005 2391646405221090 2471367952061793 2613095146445265 2731105894994406 2745964391179770 3000220353326045 3135714175734318 3211689629331405 3587469607831635 3600264423991254 3769883316704430 3854027555197686 4118946586769655 4551843158324010 4703571263601477 4942735904123586 5226190292890530 5400396635986881 5781041332796529 6000440706652090 6423379258662810 6827764737486015 7174939215663270 7414103856185379 7839285439335795 8237893173539310 9000661059978135 9407142527202954 9635068887994215 10800793271973762 11562082665593058 12356839760308965 13655529474972030 14110713790804431 14828207712370758 15678570878671590 16201189907960643 18001322119956270 19270137775988430 22242311568556137 23517856318007385 24713679520617930 27001983179934405 28221427581608862 28905206663982645 32402379815921286 37070519280926895 42332141372413293 44484623137112274 47035712636014770 48603569723881929 54003966359868810 57810413327965290 70553568954022155 74141038561853790 81005949539803215 84664282744826586 97207139447763858 111211557842780685 141107137908044310 145810709171645787 162011899079606430 211660706862066465 222423115685561370 243017848619409645 291621418343291574 423321413724132930 437432127514937361 486035697238819290 729053545858228935 874864255029874722 1312296382544812083 1458107091716457870 2187160637574686805 2624592765089624166 4374321275149373610 6561481912724060415 13122963825448120830
- Sum of all divisors σ(n): 37402166280839358240
- Sum of proper divisors (its aliquot sum) s(n): 24279202455391237410
- 13122963825448120830 is an abundant number, because the sum of its proper divisors (24279202455391237410) is greater than itself. Its abundance is 11156238629943116580
Bases of 13122963825448120830
- Binary: 10110110000111100010001000010010001000000010001011110001111111102
- Hexadecimal: 0xB61E22122022F1FE
- Base-36: 2RP9YFNJMKPVI
Squares and roots of 13122963825448120830
- 13122963825448120830 squared (131229638254481208302) is 172212179564019977507838761778279888900
- 13122963825448120830 cubed (131229638254481208303) is 2259934202720210301255019395206553690193974102286175787000
-
The
square root of 13122963825448120830 is 3622563156.8611914029 -
The
cube root of 13122963825448120830 is 2358725.0022824493
Scales and comparisons
How big is 13122963825448120830?- 13,122,963,825,448,120,830 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,122,963,825,448,120,830 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13122963825448120830 cubic inches would be around 196560.4 feet tall.
Recreational maths with 13122963825448120830
- 13122963825448120830 backwards is 03802184452836922131
- The number of decimal digits it has is: 20
- The sum of 13122963825448120830's digits is 72
- More coming soon!
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"Number 13122963825448120830 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13122963825448120830 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13122963825448120830/
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Numbermatics. 2024. "Number 13122963825448120830 - Facts about the integer". https://numbermatics.com/n/13122963825448120830/
The information we have on file for 13122963825448120830 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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