38130125950822400
38,130,125,950,822,400 is an even composite number composed of seven prime numbers multiplied together.
38130125950822400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 38130125950822400:
211 × 52 × 11 × 1032 × 109 × 127 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 103 × 103 × 109 × 127 × 461)See below for interesting mathematical facts about the number 38130125950822400 from the Numbermatics database.
Names of 38130125950822400
- Cardinal: 38130125950822400 can be written as Thirty-eight quadrillion, one hundred thirty trillion, one hundred twenty-five billion, nine hundred fifty million, eight hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 3.81301259508224 × 1016
Factors of 38130125950822400
Divisors of 38130125950822400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 103 109 110 127 128 160 176 200 206 218 220 254 256 275 320 352 400 412 436 440 461 508 512 515 545 550 635 640 704 800 824 872 880 922 1016 1024 1030 1090 1100 1133 1199 1270 1280 1397 1408 1600 1648 1744 1760 1844 2032 2048 2060 2180 2200 2266 2305 2398 2540 2560 2575 2725 2794 2816 3175 3200 3296 3488 3520 3688 4064 4120 4360 4400 4532 4610 4796 5071 5080 5120 5150 5450 5588 5632 5665 5995 6350 6400 6592 6976 6985 7040 7376 8128 8240 8720 8800 9064 9220 9592 10142 10160 10240 10300 10609 10900 11176 11227 11264 11330 11525 11990 12700 12800 13081 13184 13843 13952 13970 14080 14752 16256 16480 17440 17600 18128 18440 19184 20284 20320 20600 21218 21800 22352 22454 22528 22660 23050 23980 25355 25400 25600 26162 26368 27686 27904 27940 28160 28325 29504 29975 32512 32960 34880 34925 35200 36256 36880 38368 40568 40640 41200 42436 43600 44704 44908 45320 46100 47483 47960 50249 50710 50800 51200 52324 52736 53045 55372 55808 55880 56135 56320 56650 58547 59008 59950 65024 65405 65920 69215 69760 69850 70400 72512 73760 76736 81136 81280 82400 84872 87200 89408 89816 90640 92200 94966 95920 100498 101420 101600 104648 105472 106090 110744 111616 111760 112270 112640 113300 116699 117094 118016 119900 123497 126775 130048 130810 131840 138430 139520 139700 140800 143891 145024 147520 152273 153472 162272 162560 164800 169744 174400 178816 179632 181280 184400 189932 191840 200996 202840 203200 209296 210944 212180 221488 223232 223520 224540 226600 233398 234188 236032 237415 239800 246994 251245 253550 260096 261620 263680 265225 276860 279040 279400 280675 281600 287782 290048 292735 295040 304546 306944 324544 325120 327025 329600 339488 346075 348800 357632 359264 362560 368800 379864 383680 401992 405680 406400 418592 424360 442976 447040 449080 453200 466796 468376 472064 474830 479600 493988 502490 507100 522313 523240 527360 530450 552739 553720 558080 558800 561350 563200 575564 580096 583495 585470 590080 609092 613888 617485 644017 649088 650240 654050 659200 678976 692150 697600 715264 718528 719455 725120 737600 759728 761365 767360 803984 811360 812800 837184 848720 885952 894080 898160 906400 933592 936752 944128 949660 959200 987976 1004980 1014200 1044626 1046480 1054720 1060900 1105478 1107440 1116160 1117600 1122700 1151128 1156381 1160192 1166990 1170940 1180160 1187075 1218184 1227776 1234970 1256225 1288034 1298176 1300480 1308100 1318400 1347343 1357952 1384300 1395200 1425829 1430528 1437056 1438910 1450240 1463675 1475200 1519456 1522730 1534720 1607968 1622720 1625600 1674368 1697440 1771904 1788160 1796320 1812800 1867184 1873504 1899320 1918400 1975952 2009960 2028400 2089252 2092960 2121800 2210956 2214880 2235200 2245400 2302256 2312762 2320384 2333980 2341880 2360320 2374150 2436368 2455552 2469940 2512450 2576068 2596352 2611565 2616200 2636800 2694686 2715904 2763695 2768600 2790400 2851658 2861056 2874112 2877820 2900480 2917475 2927350 2950400 3038912 3045460 3069440 3087425 3215936 3220085 3245440 3251200 3348736 3394880 3543808 3576320 3592640 3597275 3625600 3734368 3747008 3798640 3806825 3836800 3951904 4019920 4056800 4178504 4185920 4243600 4421912 4429760 4470400 4490800 4604512 4625524 4667960 4683760 4720640 4748300 4872736 4890749 4939880 5024900 5152136 5175647 5192704 5223130 5232400 5273600 5389372 5431808 5527390 5537200 5580800 5703316 5748224 5755640 5781905 5800960 5834950 5854700 5900800 6030341 6077824 6090920 6138880 6174850 6381623 6431872 6440170 6490880 6502400 6697472 6736715 6789760 7087616 7129145 7152640 7185280 7194550 7251200 7468736 7494016 7597280 7613650 7673600 7903808 8039840 8113600 8357008 8371840 8487200 8843824 8859520 8940800 8981600 9209024 9251048 9335920 9367520 9496600 9745472 9781498 9879760 10049800 10304272 10351294 10385408 10446260 10464800 10778744 10863616 11054780 11074400 11406632 11496448 11511280 11563810 11601920 11669900 11709400 11801600 12060682 12155648 12181840 12277760 12349700 12720191 12763246 12863744 12880340 12981760 13057825 13394944 13473430 13579520 13818475 14175232 14258290 14305280 14370560 14389100 14502400 14820773 14937472 14988032 15194560 15227300 15347200 15684119 15807616 16079680 16100425 16227200 16714016 16743680 16974400 17687648 17719040 17881600 17963200 18418048 18502096 18671840 18735040 18993200 19490944 19562996 19759520 20099600 20608544 20702588 20892520 20929600 21557488 21727232 22109560 22148800 22813264 22992896 23022560 23127620 23339800 23418800 23603200 24121364 24311296 24363680 24453745 24699400 25440382 25526492 25727488 25760680 25878235 25963520 26115650 26789888 26946860 27159040 27636950 28350464 28516580 28741120 28778200 28909525 29004800 29641546 29874944 29976064 30151705 30389120 30454600 30694400 31368238 31615232 31908115 32159360 32200850 32454400 33428032 33487360 33683575 33948800 35375296 35438080 35645725 35763200 35926400 36836096 37004192 37343680 37470080 37986400 38981888 39125992 39519040 40199200 41217088 41405176 41785040 41859200 43114976 44219120 44297600 45626528 46045120 46255240 46679600 46837600 48242728 48622592 48727360 48907490 49398800 50880764 51052984 51454976 51521360 51756470 51927040 52231300 53798239 53893720 54318080 55273900 56932117 57033160 57482240 57556400 57819050 58009600 59283092 59749888 59952128 60303410 60778240 60909200 61388800 62736476 63230464 63600955 63816230 64318720 64401700 64908800 66333751 66856064 66974720 67367150 67897600 70197853 70750592 70876160 71291450 71526400 71852800 73672192 74008384 74103865 74687360 74940160 75972800 77963776 78251984 78420595 79038080 80398400 82434176 82810352 83570080 83718400 86229952 88438240 88595200 91253056 92090240 92510480 93359200 93675200 96485456 97245184 97454720 97814980 98797600 101761528 102105968 102909952 103042720 103512940 104462600 107596478 107787440 108636160 110547800 113864234 114066320 114964480 115112800 115638100 118566184 119499776 119904256 120606820 121556480 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52998625280 53067000800 53309164100 54659010824 55089396736 56158282400 57843030872 58298487808 58640080510 58744154800 59206707200 61750691840 62112512300 62601587200 64618570280 65127377920 65347819520 65730716900 66248281600 67702638407 67925761024 68235730048 68323763530 68861745920 68983961600 71882601472 72303788590 72873109760 73002444800 75192518144 75882357760 77188364800 79504015744 80302689280 80773212850 81409222400 81684774400 84135317632 84907201280 85294662560 86077182400 89853251840 91091387200 93824128816 93990647680 94852947200 99380019680 100378361600 103389712448 105169147040 106134001600 106618328200 109318021648 110178793472 112316564800 115686061744 116596975616 117280161020 117488309600 124225024600 125203174400 129237140560 130254755840 131461433800 132496563200 135405276814 135851522048 136471460096 136647527060 137723491840 143765202944 144607577180 145746219520 146600201275 150385036288 151764715520 154376729600 159008031488 160605378560 161546425700 162818444800 163369548800 168270635264 169814402560 170589325120 170809408825 172154364800 179706503680 180759471475 182182774400 187648257632 187981295360 189705894400 198760039360 200756723200 206779424896 210338294080 212268003200 213236656400 218636043296 224633129600 231372123488 234560322040 234976619200 248450049200 250406348800 258474281120 262922867600 264993126400 270810553628 272942920192 273295054120 275446983680 289215154360 291492439040 293200402550 300770072576 308753459200 318016062976 323092851400 325636889600 326739097600 336541270528 338513192035 339628805120 341178650240 341618817650 344308729600 359413007360 361518942950 364365548800 375296515264 375962590720 379411788800 397520078720 401513446400 413558849792 420676588160 424536006400 426473312800 437272086592 449266259200 462744246976 469120644080 469953238400 496900098400 516948562240 525845735200 541621107256 545885840384 546590108240 550893967360 578430308720 582984878080 586400805100 636032125952 646185702800 651273779200 673082541056 677026384070 679257610240 682357300480 683237635300 688617459200 718826014720 723037885900 728731097600 744729022477 750593030528 751925181440 758823577600 795040157440 803026892800 827117699584 841353176320 849072012800 852946625600 874544173184 898532518400 925488493952 938241288160 939906476800 993800196800 1033897124480 1051691470400 1083242214512 1091771680768 1093180216480 1156860617440 1172801610200 1272064251904 1292371405600 1346165082112 1354052768140 1364714600960 1366475270600 1377234918400 1446075771800 1457462195200 1489458044954 1501186061056 1503850362880 1590080314880 1654235399168 1682706352640 1692565960175 1698144025600 1705893251200 1749088346368 1797065036800 1850976987904 1876482576320 1879812953600 1987600393600 2067794248960 2103382940800 2166484429024 2186360432960 2313721234880 2345603220400 2584742811200 2708105536280 2729429201920 2732950541200 2754469836800 2892151543600 2914924390400 2978916089908 3002372122112 3180160629760 3308470798336 3365412705280 3385131920350 3396288051200 3411786502400 3498176692736 3594130073600 3701953975808 3723645112385 3752965152640 3759625907200 3975200787200 4135588497920 4206765881600 4332968858048 4372720865920 4627442469760 4691206440800 5169485622400 5416211072560 5458858403840 5465901082400 5784303087200 5957832179816 6004744244224 6360321259520 6730825410560 6770263840700 6823573004800 6996353385472 7403907951616 7447290224770 7505930305280 7519251814400 7950401574400 8271176995840 8413531763200 8665937716096 8745441731840 9254884939520 9382412881600 10338971244800 10832422145120 10931802164800 11568606174400 11915664359632 12009488488448 13540527681400 13647146009600 13992706770944 14807815903232 14894580449540 15011860610560 15900803148800 16542353991680 16827063526400 17331875432192 17490883463680 18509769879040 18618225561925 18764825763200 20677942489600 21664844290240 21863604329600 23137212348800 23831328719264 27081055362800 27294292019200 29789160899080 30023721221120 31801606297600 33654127052800 34663750864384 34981766927360 37019539758080 37236451123850 37529651526400 41355884979200 43329688580480 43727208659200 46274424697600 47662657438528 54162110725600 59578321798160 60047442442240 69327501728768 69963533854720 74039079516160 74472902247700 75059303052800 82711769958400 86659377160960 87454417318400 92548849395200 95325314877056 108324221451200 119156643596320 138655003457536 148945804495400 150118606105600 173318754321920 174908834636800 185097698790400 190650629754112 216648442902400 238313287192640 297891608990800 300237212211200 346637508643840 349817669273600 370195397580800 381301259508224 433296885804800 476626574385280 595783217981600 693275017287680 762602519016448 866593771609600 953253148770560 1191566435963200 1525205038032896 1733187543219200 1906506297541120 2383132871926400 3466375086438400 3813012595082240 4766265743852800 7626025190164480 9532531487705600 19065062975411200 38130125950822400
- Sum of all divisors σ(n): 106157964155443200
- Sum of proper divisors (its aliquot sum) s(n): 68027838204620800
- 38130125950822400 is an abundant number, because the sum of its proper divisors (68027838204620800) is greater than itself. Its abundance is 29897712253798400
Bases of 38130125950822400
- Binary: 100001110111011100100101110001001000101000101000000000002
- Hexadecimal: 0x877725C48A2800
- Base-36: AFG021GFWU8
Squares and roots of 38130125950822400
- 38130125950822400 squared (381301259508224002) is 1453906505025579833663236341760000
- 38130125950822400 cubed (381301259508224003) is 55437638157345359739092288451130690239463424000000
-
The
square root of 38130125950822400 is 195269367.6714870709 -
The
cube root of 38130125950822400 is 336580.8580746041
Scales and comparisons
How big is 38130125950822400?- 38,130,125,950,822,400 seconds is equal to 1,212,420,061 years, 4 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 38,130,125,950,822,400 would take you about three billion, six hundred thirty-seven million, two hundred sixty thousand, one hundred eighty-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 38130125950822400 cubic inches would be around 28048.4 feet tall.
Recreational maths with 38130125950822400
- 38130125950822400 backwards is 00422805952103183
- The number of decimal digits it has is: 17
- The sum of 38130125950822400's digits is 53
- More coming soon!
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"Number 38130125950822400 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 38130125950822400 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/38130125950822400/
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The information we have on file for 38130125950822400 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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