131628149036800
131,628,149,036,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131628149036800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
131628149036800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 131628149036800:
28 × 52 × 132 × 23 × 61 × 127 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 23 × 61 × 127 × 683)See below for interesting mathematical facts about the number 131628149036800 from the Numbermatics database.
Names of 131628149036800
- Cardinal: 131628149036800 can be written as One hundred thirty-one trillion, six hundred twenty-eight billion, one hundred forty-nine million, thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.316281490368 × 1014
Factors of 131628149036800
Divisors of 131628149036800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 61 64 65 80 92 100 104 115 122 127 128 130 160 169 184 200 208 230 244 254 256 260 299 305 320 325 338 368 400 416 460 488 508 520 575 598 610 635 640 650 676 683 736 793 800 832 845 920 976 1016 1040 1150 1196 1220 1270 1280 1300 1352 1366 1403 1472 1495 1525 1586 1600 1651 1664 1690 1840 1952 2032 2080 2300 2392 2440 2540 2600 2704 2732 2806 2921 2944 2990 3050 3172 3175 3200 3302 3328 3380 3415 3680 3887 3904 3965 4064 4160 4225 4600 4784 4880 5080 5200 5408 5464 5612 5842 5888 5980 6100 6344 6350 6400 6604 6760 6830 7015 7360 7475 7747 7774 7808 7930 8128 8255 8320 8450 8879 9200 9568 9760 10160 10309 10400 10816 10928 11224 11684 11960 12200 12688 12700 13208 13520 13660 14030 14605 14720 14950 15494 15548 15616 15709 15860 16256 16510 16640 16900 17075 17758 18239 18400 19136 19435 19520 19825 20320 20618 20800 21463 21632 21856 22448 23368 23920 24400 25376 25400 26416 27040 27320 28060 29210 29440 29900 30988 31096 31418 31720 32512 33020 33800 34150 35075 35516 36478 36800 37973 38272 38735 38870 39040 39650 40640 41236 41275 41600 41663 42926 43264 43712 44395 44896 46736 47840 48800 50752 50800 51545 52832 54080 54640 56120 58420 59800 61976 62192 62836 63440 66040 67600 68300 70150 71032 72956 73025 73600 75946 76544 77470 77740 78080 78545 79300 81280 82472 82550 83200 83326 85852 86741 87424 88790 89792 91195 93472 95680 97175 97600 100711 101504 101600 103090 105664 107315 108160 109280 112240 115427 116840 119600 123952 124384 125672 126880 132080 135200 136600 140300 142064 145912 146050 147200 151892 154940 155480 157090 158600 162560 164944 165100 166652 171704 173482 174848 177580 178181 179584 182390 186944 189865 191360 193675 194350 195200 201422 203008 203200 204217 206180 208315 211328 214630 216320 218560 221975 224480 230854 233680 237107 239200 247904 248768 251344 253760 257725 264160 270400 273200 280600 284128 291824 292100 303784 309880 310960 314180 317200 329888 330200 333304 343408 346964 355160 356362 359168 364780 373888 379730 382720 387350 388700 390400 392725 402844 406400 408434 412360 416630 422656 429260 433705 437120 443950 448960 455975 461708 467360 474214 478400 493649 495808 497536 502688 503555 507520 515450 528320 536575 540800 541619 546400 561200 568256 577135 583648 584200 607568 619760 621920 628360 634400 659776 660400 666608 686816 693928 710320 712724 729560 747776 759460 774700 777400 785450 805688 812800 816868 824720 833260 858520 867410 874240 887900 890905 897920 911950 923416 934720 948428 949325 956800 958249 987298 991616 995072 1005376 1007110 1015040 1021085 1030900 1041575 1056640 1073150 1081600 1083238 1092800 1122400 1127633 1136512 1154270 1167296 1168400 1185535 1215136 1239520 1243840 1256720 1268800 1309243 1319552 1320800 1333216 1373632 1387856 1420640 1425448 1459120 1518920 1549400 1554800 1570900 1611376 1633736 1649440 1666520 1717040 1734820 1775800 1781810 1795840 1823900 1846832 1869440 1896856 1898650 1913600 1916498 1974596 1983232 1995043 2010752 2014220 2042170 2061800 2083150 2113280 2146300 2166476 2168525 2185600 2244800 2255266 2273024 2308540 2316353 2334592 2336800 2371070 2430272 2468245 2479040 2487680 2513440 2517775 2537600 2618486 2639104 2641600 2654821 2666432 2708095 2747264 2775712 2841280 2850896 2885675 2918240 3037840 3098800 3109600 3141800 3222752 3267472 3298880 3333040 3434080 3469640 3551600 3563620 3647800 3693664 3738880 3793712 3797300 3832996 3949192 3990086 4021504 4028440 4084340 4123600 4166300 4292600 4332952 4337050 4371200 4454525 4489600 4510532 4617080 4632706 4669184 4673600 4742140 4791245 4860544 4936490 4958080 4975360 5026880 5035550 5075200 5105425 5236972 5283200 5291201 5309642 5332864 5416190 5494528 5551424 5638165 5682560 5701792 5771350 5836480 5927675 6075680 6197600 6219200 6283600 6445504 6534944 6546215 6597760 6666080 6868160 6939280 7041047 7103200 7127240 7295600 7387328 7587424 7594600 7665992 7898384 7980172 8056880 8168680 8247200 8332600 8585200 8665904 8674100 8909050 8979200 9021064 9234160 9265412 9347200 9484280 9582490 9721088 9872980 9916160 9975215 10053760 10071100 10210850 10473944 10566400 10582402 10619284 10665728 10832380 11102848 11276330 11365120 11403584 11542700 11581765 11672960 11855350 12151360 12341225 12395200 12438400 12457237 12567200 12891008 13069888 13092430 13195520 13274105 13332160 13540475 13736320 13878560 14082094 14206400 14254480 14591200 14659229 14774656 15174848 15189200 15331984 15796768 15960344 16113760 16337360 16494400 16665200 17170400 17331808 17348200 17818100 18042128 18468320 18530824 18694400 18968560 19164980 19745960 19950430 20107520 20142200 20421700 20947888 21164804 21238568 21664760 22205696 22552660 22807168 23085400 23163530 23345920 23710700 23956225 24302720 24682450 24790400 24876800 24914474 25134400 25782016 25935559 26139776 26184860 26456005 26548210 26664320 27080950 27472640 27757120 28164188 28190825 28412800 28508960 29182400 29318458 29549312 30112589 30349696 30378400 30663968 31593536 31920688 32227520 32674720 32731075 32988800 33330400 34340800 34663616 34696400 35205235 35636200 36084256 36936640 37061648 37937120 38329960 39491920 39900860 40284400 40843400 41895776 42329608 42477136 43329520 45105320 45614336 46170800 46327060 47421400 47912450 48605440 49364900 49580800 49828948 49876075 50268800 51871118 52279552 52369720 52912010 53096420 53328640 54161900 55514240 56328376 56381650 56825600 57017920 57908825 58364800 58636916 60225178 60699392 60756800 61327936 62286185 63187072 63841376 64455040 65349440 65462150 65977600 66370525 66660800 68681600 68785613 69327232 69392800 70410470 71272400 72168512 73296145 73873280 74123296 75874240 76659920 78983840 79801720 80568800 81686800 83791552 84659216 84954272 86659040 90210640 92341600 92654120 94842800 95824900 98729800 99657896 99752150 100537600 103742236 104739440 105824020 106192840 108323800 111028480 112656752 112763300 114035840 115817650 116729600 117273832 120450356 121513600 121697623 122655872 124572370 126374144 127682752 128910080 129677795 130698880 130924300 132280025 132741050 133321600 137363200 137571226 138654464 138785600 140820940 142544800 144337024 146592290 147746560 148246592 150562945 151748480 153319840 157967680 159603440 161137600 161944081 163373600 167583104 169318432 169908544 173318080 176026175 180421280 184683200 185308240 189685600 191649800 197459600 199315792 199504300 207484472 209478880 211648040 212385680 216647600 225313504 225526600 228071680 231635300 234547664 240900712 243027200 243395246 245311744 249144740 255365504 259355590 261397760 261848600 264560050 265482100 266643200 275142452 277571200 281641880 285089600 288674048 293184580 296493184 301125890 303496960 306639680 311430925 315935360 319206880 322275200 323888162 326747200 335166208 337162267 338636864 339817088 343928065 346636160 352052350 360842560 366480725 369366400 370616480 379371200 383299600 394919200 398631584 399008600 414968944 418957760 423296080 424771360 433295200 450627008 451053200 463270600 469095328 481801424 486790492 498289480 510731008 518711180 523697200 529120100 530964200 550284904 555142400 563283760 570179200 586369160 592986368 602251780 608488115 613279360 622861850 631870720 638413760 644550400 647776324 648388975 653494400 674324534 677273728 679634176 687856130 693272320 704104700 721685120 732961450 738732800 741232960 752814725 758742400 766599200 789838400 797263168 798017200 809720405 829937888 837915520 846592160 849542720 866590400 894212969 901254016 902106400 926541200 938190656 963602848 973580984 996578960 1037422360 1047394400 1058240200 1061928400 1100569808 1126567520 1140358400 1172738320 1204503560 1216976230 1226558720 1245723700 1276827520 1295552648 1296777950 1306988800 1348649068 1354547456 1375712260 1408209400 1443370240 1465922900 1482465920 1505629450 1517484800 1533198400 1579676800 1582069099 1594526336 1596034400 1619440810 1659875776 1675831040 1685811335 1693184320 1699085440 1719640325 1733180800 1788425938 1802508032 1804212800 1853082400 1876381312 1927205696 1947161968 1993157920 2074844720 2094788800 2116480400 2123856800 2201139616 2253135040 2345476640 2409007120 2433952460 2491447400 2553655040 2591105296 2593555900 2697298136 2751424520 2816418800 2931845800 2964931840 3011258900 3042440575 3066396800 3159353600 3164138198 3189052672 3192068800 3238881620 3319751552 3371622670 3386368640 3398170880 3439280650 3466361600 3576851876 3608425600 3706164800 3752762624 3854411392 3894323936 3986315840 4048602025 4149689440 4189577600 4232960800 4247713600 4402279232 4471064845 4506270080 4690953280 4818014240 4867904920 4982894800 5182210592 5187111800 5394596272 5502849040 5632837600 5863691600 6022517800 6084881150 6132793600 6328276396 6384137600 6477763240 6639503104 6743245340 6772737280 6878561300 7153703752 7216851200 7412329600 7708822784 7788647872 7910345495 7972631680 8097204050 8299378880 8379155200 8429056675 8465921600 8495427200 8804558464 8942129690 9012540160 9381906560 9636028480 9735809840 9965789600 10364421184 10374223600 10789192544 11005698080 11265675200 11727383200 12045035600 12169762300 12656552792 12768275200 12955526480 13486490680 13757122600 14307407504 14824659200 15577295744 15820690990 15945263360 16194408100 16598757760 16858113350 16931843200 16990854400 17609116928 17884259380 18763813120 19272056960 19471619680 19931579200 20566898287 20728842368 20748447200 21578385088 22011396160 22355324225 22531350400 23454766400 24090071200 24339524600 25313105584 25911052960 26972981360 27514245200 28614815008 31154591488 31641381980 32388816200 33197515520 33716226700 33863686400 35768518760 38544113920 38943239360 39551727475 39863158400 41133796574 41457684736 41496894400 43156770176 44022792320 44710648450 45062700800 46909532800 48180142400 48679049200 50626211168 51822105920 53945962720 55028490400 57229630016 63282763960 64777632400 67432453400 71537037520 77886478720 79103454950 79726316800 82267593148 82993788800 86313540352 88045584640 89421296900 93819065600 96360284800 97358098400 101252422336 102834491435 103644211840 107891925440 110056980800 114459260032 126565527920 129555264800 134864906800 143074075040 155772957440 158206909900 164535186296 165987577600 178842593800 192720569600 194716196800 202504844672 205668982870 207288423680 215783850880 220113961600 228918520064 253131055840 259110529600 269729813600 286148150080 316413819800 329070372592 357685187600 389432393600 405009689344 411337965740 431567701760 440227923200 506262111680 514172457175 518221059200 539459627200 572296300160 632827639600 658140745184 715370375200 778864787200 822675931480 1012524223360 1028344914350 1036442118400 1078919254400 1144592600320 1265655279200 1316281490368 1430740750400 1645351862960 2025048446720 2056689828700 2157838508800 2531310558400 2632562980736 2861481500800 3290703725920 4113379657400 5062621116800 5265125961472 5722963001600 6581407451840 8226759314800 10125242233600 13162814903680 16453518629600 26325629807360 32907037259200 65814074518400 131628149036800
- Sum of all divisors σ(n): 377661476118528
- Sum of proper divisors (its aliquot sum) s(n): 246033327081728
- 131628149036800 is an abundant number, because the sum of its proper divisors (246033327081728) is greater than itself. Its abundance is 114405178044928
Bases of 131628149036800
- Binary: 111011110110111000100010001000011010111000000002
- Hexadecimal: 0x77B71110D700
- Base-36: 1ANP4XECCG
Squares and roots of 131628149036800
- 131628149036800 squared (1316281490368002) is 17325969618854032767754240000
- 131628149036800 cubed (1316281490368003) is 2280585311197587516378665903955116032000000
-
The
square root of 131628149036800 is 11472931.1440799643 -
The
cube root of 131628149036800 is 50868.5773038817
Scales and comparisons
How big is 131628149036800?- 131,628,149,036,800 seconds is equal to 4,185,367 years, 51 weeks, 2 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 131,628,149,036,800 would take you about ten million, four hundred sixty-three thousand, four hundred nineteen 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 131628149036800 cubic inches would be around 4239 feet tall.
Recreational maths with 131628149036800
- 131628149036800 backwards is 008630941826131
- 131628149036800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131628149036800's digits is 52
- 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 131628149036800 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 131628149036800 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/131628149036800/
Chicago style:
Numbermatics. 2024. "Number 131628149036800 - Facts about the integer". https://numbermatics.com/n/131628149036800/
The information we have on file for 131628149036800 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 131628149036800, math, Factors of 131628149036800, curriculum, school, college, exams, university, Prime factorization of 131628149036800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, six hundred twenty-eight billion, one hundred forty-nine million, thirty-six thousand, eight hundred.