148400397155137072400
148,400,397,155,137,072,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 148400397155137072400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 600 divisors.
148400397155137072400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred divisors.
Prime factorization of 148400397155137072400:
24 × 52 × 74 × 13 × 12457 × 954170741
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 12457 × 954170741)See below for interesting mathematical facts about the number 148400397155137072400 from the Numbermatics database.
Names of 148400397155137072400
- Cardinal: 148400397155137072400 can be written as One hundred forty-eight quintillion, four hundred quadrillion, three hundred ninety-seven trillion, one hundred fifty-five billion, one hundred thirty-seven million, seventy-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.484003971551370724 × 1020
Factors of 148400397155137072400
Divisors of 148400397155137072400
- Number of divisors d(n): 600
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 49 50 52 56 65 70 80 91 98 100 104 112 130 140 175 182 196 200 208 245 260 280 325 343 350 364 392 400 455 490 520 560 637 650 686 700 728 784 910 980 1040 1225 1274 1300 1372 1400 1456 1715 1820 1960 2275 2401 2450 2548 2600 2744 2800 3185 3430 3640 3920 4459 4550 4802 4900 5096 5200 5488 6370 6860 7280 8575 8918 9100 9604 9800 10192 12005 12457 12740 13720 15925 17150 17836 18200 19208 19600 22295 24010 24914 25480 27440 31213 31850 34300 35672 36400 38416 44590 48020 49828 50960 60025 62285 62426 63700 68600 71344 87199 89180 96040 99656 111475 120050 124570 124852 127400 137200 156065 161941 174398 178360 192080 199312 222950 240100 249140 249704 254800 311425 312130 323882 348796 356720 435995 445900 480200 498280 499408 610393 622850 624260 647764 697592 780325 809705 871990 891800 960400 996560 1133587 1220786 1245700 1248520 1295528 1395184 1560650 1619410 1743980 1783600 2179975 2267174 2441572 2491400 2497040 2591056 3051965 3121300 3238820 3487960 4048525 4272751 4359950 4534348 4883144 4982800 5667935 6103930 6242600 6477640 6975920 7935109 8097050 8545502 8719900 9068696 9766288 11335870 12207860 12485200 12955280 15259825 15870218 16194100 17091004 17439800 18137392 21363755 22671740 24415720 28339675 29909257 30519650 31740436 32388200 34182008 34879600 39675545 42727510 45343480 48831440 55545763 56679350 59818514 61039300 63480872 64776400 68364016 79351090 85455020 90686960 106818775 111091526 113358700 119637028 122078600 126961744 149546285 158702180 170910040 198377725 213637550 222183052 226717400 239274056 244157200 277728815 299092570 317404360 341820080 388820341 396755450 427275100 444366104 453434800 478548112 555457630 598185140 634808720 747731425 777640682 793510900 854550200 888732208 954170741 1110915260 1196370280 1388644075 1495462850 1555281364 1587021800 1709100400 1908341482 1944101705 2221830520 2392740560 2777288150 2990925700 3110562728 3174043600 3816682964 3888203410 4443661040 4770853705 5554576300 5981851400 6221125456 6679195187 7633365928 7776406820 9541707410 9720508525 11109152600 11963702800 12404219633 13358390374 15266731856 15552813640 19083414820 19441017050 22218305200 23854268525 24808439266 26716780748 31105627280 33395975935 38166829640 38882034100 46754366309 47708537050 49616878532 53433561496 62021098165 66791951870 76333659280 77764068200 86829537431 93508732618 95417074100 99233757064 106867122992 124042196330 133583903740 155528136400 166979879675 173659074862 187017465236 190834148200 198467514128 233771831545 248084392660 267167807480 310105490825 327280564163 333959759350 347318149724 374034930472 381668296400 434147687155 467543663090 496168785320 534335614960 607806762017 620210981650 654561128326 667919518700 694636299448 748069860944 868295374310 935087326180 992337570640 1168859157725 1215613524034 1240421963300 1309122256652 1335839037400 1389272598896 1636402820815 1736590748620 1870174652360 2170738435775 2290963949141 2337718315450 2431227048068 2480843926600 2618244513304 2671678074800 3039033810085 3272805641630 3473181497240 3740349304720 4254647334119 4341476871550 4581927898282 4675436630900 4862454096136 4961687853200 5236489026608 6078067620170 6545611283260 6946362994480 8182014104075 8509294668238 8682953743100 9163855796564 9350873261800 9724908192272 11454819745705 11886104920637 12156135240340 13091222566520 15195169050425 16364028208150 17018589336476 17365907486200 18327711593128 18701746523600 21273236670595 22909639491410 23772209841274 24312270480680 26182445133040 29782531338833 30390338100850 32728056416300 34037178672952 34731814972400 36655423186256 42546473341190 45819278982820 47544419682548 48624540961360 57274098728525 59430524603185 59565062677666 60780676201700 65456112832600 68074357345904 83202734444459 85092946682380 91638557965640 95088839365096 106366183352975 114548197457050 118861049206370 119130125355332 121561352403400 130912225665200 148912656694165 154519363968281 166405468888918 170185893364760 183277115931280 190177678730192 212732366705950 229096394914100 237722098412740 238260250710664 243122704806800 297152623015925 297825313388330 309038727936562 332810937777836 340371786729520 416013672222295 425464733411900 458192789828200 475444196825480 476520501421328 582419141111213 594305246031850 595650626776660 618077455873124 665621875555672 744563283470825 772596819841405 832027344444590 850929466823800 916385579656400 950888393650960 1081635547777967 1164838282222426 1188610492063700 1191301253553320 1236154911746248 1331243751111344 1489126566941650 1545193639682810 1664054688889180 1701858933647600 2080068361111475 2163271095555934 2329676564444852 2377220984127400 2382602507106640 2472309823492496 2912095705556065 2978253133883300 3090387279365620 3328109377778360 3862984099207025 4076933987778491 4160136722222950 4326542191111868 4659353128889704 4754441968254800 5408177738889835 5824191411112130 5956506267766600 6180774558731240 6656218755556720 7571448834445769 7725968198414050 8153867975556982 8320273444445900 8653084382223736 9318706257779408 10816355477779670 11648382822224260 11913012535533200 12361549117462480 14560478527780325 15142897668891538 15451936396828100 16307735951113964 16640546888891800 17306168764447472 20384669938892455 21632710955559340 23296765644448520 27040888694449175 28538537914449437 29120957055560650 30285795337783076 30903872793656200 32615471902227928 33281093777783600 37857244172228845 40769339877784910 43265421911118680 46593531288897040 53000141841120383 54081777388898350 57077075828898874 58241914111121300 60571590675566152 61807745587312400 65230943804455856 75714488344457690 81538679755569820 86530843822237360 101923349694462275 106000283682240766 108163554777796700 114154151657797748 116483828222242600 121143181351132304 142692689572247185 151428976688915380 163077359511139640 189286220861144225 203846699388924550 212000567364481532 216327109555593400 228308303315595496 232967656444485200 265000709205601915 285385379144494370 302857953377830760 326154719022279280 371000992887842681 378572441722288450 407693398777849100 424001134728963064 432654219111186800 456616606631190992 530001418411203830 570770758288988740 605715906755661520 713463447861235925 742001985775685362 757144883444576900 815386797555698200 848002269457926128 1060002836822407660 1141541516577977480 1325003546028009575 1426926895722471850 1484003971551370724 1514289766889153800 1630773595111396400 1855004964439213405 2120005673644815320 2283083033155954960 2650007092056019150 2853853791444943700 2968007943102741448 3028579533778307600 3710009928878426810 4240011347289630640 5300014184112038300 5707707582889887400 5936015886205482896 7420019857756853620 9275024822196067025 10600028368224076600 11415415165779774800 14840039715513707240 18550049644392134050 21200056736448153200 29680079431027414480 37100099288784268100 74200198577568536200 148400397155137072400
- Sum of all divisors σ(n): 447959709405609732744
- Sum of proper divisors (its aliquot sum) s(n): 299559312250472660344
- 148400397155137072400 is an abundant number, because the sum of its proper divisors (299559312250472660344) is greater than itself. Its abundance is 151158915095335587944
Bases of 148400397155137072400
- Binary: 100000001011011110000001111011110100000111101101010110101101000100002
- Hexadecimal: 0x80B781EF41ED5AD10
- Base-36: VBH5QDTF799U8
Squares and roots of 148400397155137072400
- 148400397155137072400 squared (1484003971551370724002) is 22022677875802415291222996832842841760000
- 148400397155137072400 cubed (1484003971551370724003) is 3268174143188728894836600854652949499993889359942863424000000
-
The
square root of 148400397155137072400 is 12181970167.2240632851 -
The
cube root of 148400397155137072400 is 5294338.2895773219
Scales and comparisons
How big is 148400397155137072400?- 148,400,397,155,137,072,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 148,400,397,155,137,072,400 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 148400397155137072400 cubic inches would be around 441194.9 feet tall.
Recreational maths with 148400397155137072400
- 148400397155137072400 backwards is 004270731551793004841
- The number of decimal digits it has is: 21
- The sum of 148400397155137072400's digits is 71
- 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 148400397155137072400 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 148400397155137072400 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/148400397155137072400/
Chicago style:
Numbermatics. 2024. "Number 148400397155137072400 - Facts about the integer". https://numbermatics.com/n/148400397155137072400/
The information we have on file for 148400397155137072400 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 148400397155137072400, math, Factors of 148400397155137072400, curriculum, school, college, exams, university, Prime factorization of 148400397155137072400, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-eight quintillion, four hundred quadrillion, three hundred ninety-seven trillion, one hundred fifty-five billion, one hundred thirty-seven million, seventy-two thousand, four hundred.