1315713328005120
1,315,713,328,005,120 is an even composite number composed of six prime numbers multiplied together.
1315713328005120 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 1315713328005120:
214 × 3 × 5 × 11 × 17 × 315
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 17 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 1315713328005120 from the Numbermatics database.
Names of 1315713328005120
- Cardinal: 1315713328005120 can be written as One quadrillion, three hundred fifteen trillion, seven hundred thirteen billion, three hundred twenty-eight million, five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.31571332800512 × 1015
Factors of 1315713328005120
Divisors of 1315713328005120
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 31 32 33 34 40 44 48 51 55 60 62 64 66 68 80 85 88 93 96 102 110 120 124 128 132 136 155 160 165 170 176 186 187 192 204 220 240 248 255 256 264 272 310 320 330 340 341 352 372 374 384 408 440 465 480 496 510 512 527 528 544 561 620 640 660 680 682 704 744 748 768 816 880 930 935 960 961 992 1020 1023 1024 1054 1056 1088 1122 1240 1280 1320 1360 1364 1408 1488 1496 1536 1581 1632 1705 1760 1860 1870 1920 1922 1984 2040 2046 2048 2108 2112 2176 2244 2480 2560 2635 2640 2720 2728 2805 2816 2883 2976 2992 3072 3162 3264 3410 3520 3720 3740 3840 3844 3968 4080 4092 4096 4216 4224 4352 4488 4805 4960 5115 5120 5270 5280 5440 5456 5610 5632 5766 5797 5952 5984 6144 6324 6528 6820 7040 7440 7480 7680 7688 7905 7936 8160 8184 8192 8432 8448 8704 8976 9610 9920 10230 10240 10540 10560 10571 10880 10912 11220 11264 11532 11594 11904 11968 12288 12648 13056 13640 14080 14415 14880 14960 15360 15376 15810 15872 16320 16337 16368 16384 16864 16896 17391 17408 17952 19220 19840 20460 20480 21080 21120 21142 21760 21824 22440 22528 23064 23188 23808 23936 24576 25296 26112 27280 28160 28830 28985 29760 29791 29920 30720 30752 31620 31713 31744 32640 32674 32736 33728 33792 34782 34816 35904 38440 39680 40920 40960 42160 42240 42284 43520 43648 44880 45056 46128 46376 47616 47872 49011 49152 50592 52224 52855 54560 56320 57660 57970 59520 59582 59840 61440 61504 63240 63426 63488 65280 65348 65472 67456 67584 69564 69632 71808 76880 79360 81685 81840 81920 84320 84480 84568 86955 87040 87296 89373 89760 90112 92256 92752 95232 95744 98022 101184 104448 105710 109120 112640 115320 115940 119040 119164 119680 122880 123008 126480 126852 126976 130560 130696 130944 134912 135168 139128 139264 143616 148955 153760 158565 158720 163370 163680 168640 168960 169136 173910 174080 174592 178746 179520 179707 180224 184512 185504 190464 191488 196044 202368 208896 211420 218240 225280 230640 231880 238080 238328 239360 245055 245760 246016 252960 253704 253952 261120 261392 261888 269824 270336 278256 278528 287232 297910 307520 317130 317440 326740 327360 327701 337280 337920 338272 347820 348160 349184 357492 359040 359414 369024 371008 380928 382976 392088 404736 417792 422840 436480 446865 450560 461280 463760 476160 476656 478720 490110 492032 505920 506447 507408 507904 522240 522784 523776 539121 539648 540672 556512 574464 595820 615040 634260 634880 653480 654720 655402 674560 675840 676544 695640 696320 698368 714984 718080 718828 738048 742016 761856 765952 784176 809472 835584 845680 872960 893730 898535 901120 922560 923521 927520 952320 953312 957440 980220 983103 984064 1011840 1012894 1014816 1044480 1045568 1047552 1078242 1079296 1113024 1148928 1191640 1230080 1268520 1269760 1306960 1309440 1310804 1349120 1351680 1353088 1391280 1392640 1396736 1429968 1436160 1437656 1476096 1484032 1519341 1523712 1531904 1568352 1618944 1638505 1691360 1745920 1787460 1797070 1845120 1847042 1855040 1904640 1906624 1914880 1960440 1966206 1968128 2023680 2025788 2029632 2088960 2091136 2095104 2156484 2158592 2226048 2297856 2383280 2460160 2532235 2537040 2539520 2613920 2618880 2621608 2695605 2698240 2703360 2706176 2770563 2782560 2793472 2859936 2872320 2875312 2952192 2968064 3038682 3063808 3136704 3237888 3277010 3382720 3491840 3574920 3594140 3690240 3694084 3710080 3809280 3813248 3829760 3920880 3932412 3936256 4047360 4051576 4059264 4177920 4182272 4190208 4312968 4317184 4452096 4595712 4617605 4766560 4915515 4920320 5064470 5074080 5227840 5237760 5243216 5391210 5396480 5412352 5541126 5565120 5570917 5586944 5719872 5744640 5750624 5904384 5936128 6077364 6273408 6475776 6554020 6765440 6983680 7149840 7188280 7380480 7388168 7420160 7596705 7618560 7626496 7659520 7841760 7864824 7872512 8094720 8103152 8118528 8364544 8380416 8625936 8634368 8904192 9191424 9235210 9533120 9831030 9840640 10128940 10148160 10158731 10455680 10475520 10486432 10782420 10792960 10824704 11082252 11130240 11141834 11439744 11489280 11501248 11808768 11872256 12154728 12546816 12951552 13108040 13530880 13852815 13967360 14299680 14376560 14760960 14776336 14840320 15193410 15252992 15319040 15683520 15699857 15729648 15745024 16189440 16206304 16237056 16712751 16729088 16760832 17251872 17808384 18470420 19066240 19662060 19681280 20257880 20296320 20317462 20911360 20951040 20972864 21564840 21585920 21649408 22164504 22260480 22283668 22879488 22978560 23002496 23617536 23744512 24309456 25093632 25903104 26216080 27061760 27705630 27854585 27934720 28599360 28629151 28753120 29521920 29552672 29680640 30386820 30476193 30505984 31367040 31399714 31459296 32378880 32412608 32474112 33425502 33458176 34503744 35616768 36940840 38132480 39324120 39362560 40515760 40592640 40634924 41822720 41902080 41945728 43129680 43171840 43298816 44329008 44520960 44567336 45758976 45957120 46004992 47099571 47235072 47489024 48618912 50187264 50793655 52432160 54123520 55411260 55709170 57198720 57258302 57506240 59043840 59105344 59361280 60773640 60952386 61011968 62734080 62799428 62918592 64757760 64825216 64948224 66851004 66916352 69007488 71233536 73881680 76264960 78499285 78648240 78725120 81031520 81185280 81269848 83563755 83645440 83804160 83891456 85887453 86259360 86597632 88658016 89041920 89134672 91517952 92009984 94199142 94978048 97237824 100374528 101587310 104864320 108247040 110822520 111418340 114397440 114516604 115012480 118087680 118210688 118722560 121547280 121904772 122023936 125468160 125598856 125837184 129515520 129650432 129896448 133702008 133832704 138014976 142467072 143145755 147763360 152380965 152529920 156998570 157296480 162063040 162370560 162539696 167127510 167290880 167782912 171774906 172518720 172698427 173195264 177316032 178083840 178269344 183035904 184019968 188398284 194475648 200749056 203174620 209728640 216494080 221645040 222836680 228794880 229033208 230024960 235497855 236175360 236421376 237445120 243094560 243809544 244047872 250936320 251197712 251674368 259300864 259792896 267404016 267665408 276029952 284934144 286291510 295526720 304761930 305059840 313997140 314592960 314920661 324126080 324741120 325079392 334255020 334581760 335565824 343549812 345037440 345396854 354632064 356167680 356538688 366071808 368039936 376796568 388951296 401498112 406349240 419457280 429437265 432988160 443290080 445673360 457589760 458066416 460049920 470995710 472842752 474890240 486189120 486695567 487619088 488095744 501872640 502395424 503348736 518095281 518601728 519585792 534808032 552059904 572583020 591053440 609523860 610119680 627994280 629185920 629841322 648252160 649482240 650158784 668510040 669163520 671131648 687099624 690074880 690793708 709264128 712335360 713077376 732143616 736079872 753593136 777902592 802996224 812698480 838914560 858874530 863492135 865976320 886580160 891346720 915179520 916132832 920099840 941991420 944761983 945685504 972378240 973391134 975238176 1003745280 1004790848 1006697472 1036190562 1037203456 1069616064 1104119808 1145166040 1182106880 1219047720 1220239360 1255988560 1258371840 1259682644 1296504320 1298964480 1300317568 1337020080 1338327040 1342263296 1374199248 1380149760 1381587416 1418528256 1424670720 1426154752 1460086701 1464287232 1472159744 1507186272 1555805184 1574603305 1625396960 1677829120 1717749060 1726984270 1773160320 1782693440 1830359040 1832265664 1840199680 1883982840 1889523966 1891371008 1944756480 1946782268 1950476352 2007490560 2009581696 2013394944 2072381124 2074406912 2139232128 2208239616 2290332080 2364213760 2433477835 2438095440 2440478720 2511977120 2516743680 2519365288 2590476405 2593008640 2597928960 2600635136 2674040160 2684526592 2748398496 2760299520 2763174832 2837056512 2852309504 2920173402 2944319488 3014372544 3111610368 3149206610 3250793920 3355658240 3435498120 3453968540 3546320640 3565386880 3660718080 3664531328 3680399360 3767965680 3779047932 3782742016 3889512960 3893564536 3900952704 4014981120 4019163392 4026789888 4144762248 4148813824 4278464256 4416479232 4580664160 4723809915 4728427520 4866955670 4876190880 5023954240 5033487360 5038730576 5180952810 5186017280 5201270272 5348080320 5353651237 5369053184 5496796992 5520599040 5526349664 5674113024 5704619008 5840346804 6028745088 6223220736 6298413220 6501587840 6711316480 6870996240 6907937080 7092641280 7130773760 7300433505 7321436160 7329062656 7360798720 7535931360 7558095864 7565484032 7779025920 7787129072 7801905408 8038326784 8053579776 8289524496 8297627648 8556928512 8832958464 9161328320 9447619830 9456855040 9733911340 9752381760 10047908480 10066974720 10077461152 10361905620 10372034560 10402540544 10696160640 10707302474 10993593984 11041198080 11052699328 11348226048 11409238016 11680693608 12057490176 12446441472 12596826440 13003175680 13422632960 13741992480 13815874160 14185282560 14261547520 14600867010 14658125312 14721597440 15071862720 15116191728 15130968064 15558051840 15574258144 15603810816 16060953711 16076653568 16107159552 16579048992 17113857024 18322656640 18895239660 18913710080 19467822680 19504763520 20095816960 20133949440 20154922304 20723811240 20744069120 20805081088 21392321280 21414604948 21987187968 22082396160 22105398656 22696452096 22818476032 23361387216 24114980352 24892882944 25193652880 26006351360 26768256185 26845265920 27483984960 27631748320 28370565120 28523095040 29201734020 29316250624 30143725440 30232383456 31116103680 31148516288 31207621632 32121907422 32153307136 33158097984 34227714048 36645313280 37790479320 37827420160 38935645360 39009527040 40191633920 40267898880 40309844608 41447622480 41488138240 41610162176 42784642560 42829209896 43974375936 44164792320 44210797312 45392904192 45636952064 46722774432 48229960704 50387305760 52012702720 53536512370 54967969920 55263496640 56741130240 57046190080 58403468040 58632501248 60287450880 60464766912 62232207360 62297032576 62415243264 64243814844 64306614272 66316195968 68455428096 73290626560 75580958640 75654840320 77871290720 78019054080 80304768555 80383267840 80535797760 80619689216 82895244960 83220324352 85569285120 85658419792 87948751872 88421594624 91273904128 93445548864 96459921408 100774611520 104025405440 107073024740 109935939840 110526993280 113482260480 114092380160 116806936080 117265002496 120574901760 120929533824 124464414720 124594065152 124830486528 128487629688 128613228544 132632391936 136910856192 146581253120 151161917280 155742581440 156038108160 160609537110 160766535680 161239378432 165790489920 166440648704 171138570240 171316839584 175897503744 176843189248 186891097728 192919842816 201549223040 208050810880 214146049480 219871879680 221053986560 226964520960 228184760320 233613872160 234530004992 241149803520 241859067648 249188130304 249660973056 256975259376 257226457088 265264783872 273821712384 293162506240 302323834560 311485162880 312076216320 321219074220 321533071360 322478756864 331580979840 342277140480 342633679168 351795007488 353686378496 373782195456 385839685632 403098446080 416101621760 428292098960 439743759360 442107973120 456369520640 467227744320 469060009984 482299607040 483718135296 498376260608 499321946112 513950518752 530529567744 586325012480 604647669120 622970325760 624152432640 642438148440 643066142720 644957513728 663161959680 684554280960 685267358336 703590014976 707372756992 747564390912 771679371264 806196892160 832203243520 856584197920 879487518720 884215946240 934455488640 964599214080 967436270592 996752521216 1027901037504 1061059135488 1172650024960 1209295338240 1245940651520 1248304865280 1284876296880 1286132285440 1289915027456 1326323919360 1369108561920 1370534716672 1407180029952 1414745513984 1495128781824 1612393784320 1713168395840 1758975037440 1768431892480 1868910977280 1929198428160 1934872541184 1993505042432 2055802075008 2122118270976 2345300049920 2418590676480 2491881303040 2496609730560 2569752593760 2579830054912 2652647838720 2741069433344 2829491027968 2990257563648 3224787568640 3426336791680 3517950074880 3536863784960 3737821954560 3858396856320 3869745082368 3987010084864 4111604150016 4244236541952 4837181352960 4983762606080 5139505187520 5159660109824 5305295677440 5482138866688 5980515127296 6449575137280 6852673583360 7035900149760 7073727569920 7475643909120 7739490164736 7974020169728 8223208300032 8488473083904 9674362705920 9967525212160 10279010375040 10610591354880 10964277733376 11961030254592 12899150274560 13705347166720 14147455139840 14951287818240 15478980329472 16446416600064 19348725411840 19935050424320 20558020750080 21221182709760 21928555466752 23922060509184 25798300549120 27410694333440 29902575636480 32892833200128 38697450823680 39870100848640 41116041500160 42442365419520 43857110933504 54821388666880 59805151272960 65785666400256 77394901647360 82232083000320 87714221867008 109642777333760 119610302545920 131571332800512 164464166000640 219285554667520 263142665601024 328928332001280 438571109335040 657856664002560 1315713328005120
- Sum of all divisors σ(n): 5025167956666368
- Sum of proper divisors (its aliquot sum) s(n): 3709454628661248
- 1315713328005120 is an abundant number, because the sum of its proper divisors (3709454628661248) is greater than itself. Its abundance is 2393741300656128
Bases of 1315713328005120
- Binary: 1001010110010100010011000011000101011000000000000002
- Hexadecimal: 0x4ACA2618AC000
- Base-36: CYDQCWS6IO
Squares and roots of 1315713328005120
- 1315713328005120 squared (13157133280051202) is 1731101561490308488478746214400
- 1315713328005120 cubed (13157133280051203) is 2277633396583273661117851218476636703817728000
-
The
square root of 1315713328005120 is 36272762.8945620849 -
The
cube root of 1315713328005120 is 109577.2569892197
Scales and comparisons
How big is 1315713328005120?- 1,315,713,328,005,120 seconds is equal to 41,835,614 years, 3 weeks, 1 day, 13 hours, 52 minutes.
-
To count from 1 to 1,315,713,328,005,120 would take you about one hundred twenty-five million, five hundred six thousand, eight hundred forty-two 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 1315713328005120 cubic inches would be around 9131.4 feet tall.
Recreational maths with 1315713328005120
- 1315713328005120 backwards is 0215008233175131
- The number of decimal digits it has is: 16
- The sum of 1315713328005120's digits is 42
- 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 1315713328005120 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 1315713328005120 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/1315713328005120/
Chicago style:
Numbermatics. 2024. "Number 1315713328005120 - Facts about the integer". https://numbermatics.com/n/1315713328005120/
The information we have on file for 1315713328005120 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 1315713328005120, math, Factors of 1315713328005120, curriculum, school, college, exams, university, Prime factorization of 1315713328005120, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, three hundred fifteen trillion, seven hundred thirteen billion, three hundred twenty-eight million, five thousand, one hundred twenty.