48960144064512
48,960,144,064,512 is an even composite number composed of five prime numbers multiplied together.
What does the number 48960144064512 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
48960144064512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 48960144064512:
214 × 33 × 312 × 41 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 31 × 41 × 53 × 53)See below for interesting mathematical facts about the number 48960144064512 from the Numbermatics database.
Names of 48960144064512
- Cardinal: 48960144064512 can be written as Forty-eight trillion, nine hundred sixty billion, one hundred forty-four million, sixty-four thousand, five hundred twelve.
Scientific notation
- Scientific notation: 4.8960144064512 × 1013
Factors of 48960144064512
Divisors of 48960144064512
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 41 48 53 54 62 64 72 82 93 96 106 108 123 124 128 144 159 164 186 192 212 216 246 248 256 279 288 318 328 369 372 384 424 432 477 492 496 512 558 576 636 656 738 744 768 837 848 864 954 961 984 992 1024 1107 1116 1152 1271 1272 1312 1431 1476 1488 1536 1643 1674 1696 1728 1908 1922 1968 1984 2048 2173 2214 2232 2304 2542 2544 2624 2809 2862 2883 2952 2976 3072 3286 3348 3392 3456 3813 3816 3844 3936 3968 4096 4346 4428 4464 4608 4929 5084 5088 5248 5618 5724 5766 5904 5952 6144 6519 6572 6696 6784 6912 7626 7632 7688 7872 7936 8192 8427 8649 8692 8856 8928 9216 9858 10168 10176 10496 11236 11439 11448 11532 11808 11904 12288 13038 13144 13392 13568 13824 14787 15252 15264 15376 15744 15872 16384 16854 17298 17384 17712 17856 18432 19557 19716 20336 20352 20992 22472 22878 22896 23064 23616 23808 24576 25281 25947 26076 26288 26784 27136 27648 29574 30504 30528 30752 31488 31744 33708 34317 34596 34768 35424 35712 36864 39114 39401 39432 40672 40704 41984 44361 44944 45756 45792 46128 47232 47616 49152 50562 50933 51894 52152 52576 53568 54272 55296 58671 59148 61008 61056 61504 62976 63488 67363 67416 68634 69192 69536 70848 71424 73728 75843 78228 78802 78864 81344 81408 83968 87079 88722 89888 91512 91584 92256 94464 95232 101124 101866 103788 104304 105152 107136 108544 110592 115169 117342 118203 118296 122016 122112 123008 125952 126976 134726 134832 137268 138384 139072 141696 142848 147456 151686 152799 156456 157604 157728 162688 162816 167936 174158 177444 179776 183024 183168 184512 188928 190464 202089 202248 203732 207576 208608 210304 214272 217088 221184 230338 234684 236406 236592 244032 244224 246016 251904 253952 261237 269452 269664 274536 276768 278144 283392 285696 303372 305598 312912 315208 315456 325376 325632 335872 345507 348316 354609 354888 359552 366048 366336 369024 377856 380928 404178 404496 407464 415152 417216 420608 428544 434176 442368 458397 460676 469368 472812 473184 488064 488448 492032 503808 507904 522474 538904 539328 549072 553536 556288 566784 571392 606267 606744 611196 625824 630416 630912 650752 651264 671744 691014 696632 709218 709776 719104 732096 732672 738048 755712 761856 783711 808356 808992 814928 830304 834432 841216 857088 868352 916794 921352 938736 945624 946368 976128 976896 984064 1007616 1036521 1044948 1063827 1077808 1078656 1098144 1107072 1112576 1133568 1142784 1212534 1213488 1222392 1251648 1260832 1261824 1301504 1302528 1375191 1382028 1393264 1418436 1419552 1438208 1464192 1465344 1476096 1511424 1523712 1567422 1616712 1617984 1629856 1660608 1668864 1682432 1714176 1818801 1833588 1842704 1877472 1891248 1892736 1952256 1953792 1968128 2015232 2073042 2088253 2089896 2127654 2155616 2157312 2196288 2214144 2225152 2267136 2285568 2351133 2425068 2426976 2444784 2503296 2521664 2523648 2603008 2605056 2699449 2750382 2764056 2786528 2836872 2839104 2876416 2928384 2930688 2952192 3022848 3109563 3134844 3233424 3235968 3259712 3321216 3337728 3364864 3428352 3570239 3637602 3667176 3685408 3754944 3782496 3785472 3904512 3907584 3936256 4146084 4176506 4179792 4255308 4311232 4314624 4392576 4428288 4450304 4534272 4571136 4702266 4850136 4853952 4889568 5006592 5043328 5047296 5206016 5398898 5500764 5528112 5573056 5673744 5678208 5752832 5856768 5861376 5904384 6045696 6219126 6264759 6269688 6466848 6471936 6519424 6642432 6675456 6729728 6856704 7140478 7275204 7334352 7370816 7509888 7564992 7570944 7809024 7815168 7872512 8098347 8292168 8353012 8359584 8510616 8622464 8629248 8785152 8856576 8900608 9068544 9404532 9700272 9707904 9779136 10013184 10086656 10094592 10412032 10710717 10797796 11001528 11056224 11146112 11347488 11356416 11505664 11713536 11722752 11808768 12438252 12529518 12539376 12933696 12943872 13038848 13284864 13350912 13459456 13713408 14280956 14550408 14668704 14741632 15019776 15129984 15141888 15618048 15745024 16196694 16584336 16706024 16719168 17021232 17244928 17258496 17570304 17713152 17801216 18137088 18794277 18809064 19400544 19415808 19558272 20026368 20173312 20189184 20824064 21421434 21595592 22003056 22112448 22292224 22694976 22712832 23011328 23427072 23445504 23617536 24295041 24876504 25059036 25078752 25867392 25887744 26077696 26569728 26701824 26918912 28561912 29100816 29337408 29483264 30039552 30259968 30283776 31236096 32132151 32393388 33168672 33412048 33438336 34042464 34489856 34516992 35140608 35426304 35602432 37588554 37618128 38801088 38831616 39116544 40052736 40346624 40378368 42842868 43191184 44006112 44224896 44584448 45389952 45425664 46022656 46854144 47235072 48590082 49753008 50118072 50157504 51734784 51775488 52155392 53139456 53403648 56382831 57123824 58201632 58674816 58966528 60079104 60519936 60567552 62472192 64264302 64786776 66337344 66824096 66876672 68084928 68979712 69033984 70281216 70852608 72885123 75177108 75236256 77602176 77663232 78233088 80105472 80693248 80756736 85685736 86382368 88012224 88449792 89168896 90779904 90851328 93708288 96396453 97180164 99506016 100236144 100315008 103469568 103550976 104310784 106278912 106807296 110677409 112765662 114247648 116403264 117349632 117933056 120158208 121039872 121135104 128528604 129573552 132674688 133648192 133753344 136169856 137959424 138067968 140562432 141705216 145770246 150354216 150472512 155204352 155326464 156466176 160210944 161386496 171371472 172764736 176024448 176899584 178337792 181559808 181702656 187416576 192792906 194360328 199012032 200472288 200630016 206939136 207101952 208621568 212557824 221354818 225531324 228495296 232806528 234699264 235866112 240316416 242079744 242270208 257057208 259147104 265349376 267296384 267506688 272339712 275918848 281124864 291540492 300708432 300945024 310408704 310652928 312932352 320421888 322772992 332032227 342742944 345529472 352048896 353799168 356675584 363119616 363405312 385585812 388720656 398024064 400944576 401260032 413878272 414203904 417243136 425115648 442709636 451062648 456990592 465613056 469398528 471732224 480632832 484159488 514114416 518294208 530698752 534592768 535013376 544679424 551837696 562249728 583080984 601416864 601890048 620817408 621305856 625864704 645545984 664064454 685485888 691058944 704097792 707598336 713351168 726239232 726810624 771171624 777441312 796048128 801889152 802520064 827756544 834486272 885419272 902125296 913981184 931226112 938797056 943464448 961265664 968318976 996096681 1028228832 1036588416 1061397504 1069185536 1070026752 1089358848 1103675392 1166161968 1202833728 1203780096 1241634816 1242611712 1251729408 1328128908 1370971776 1382117888 1408195584 1415196672 1426702336 1452478464 1542343248 1554882624 1592096256 1603778304 1605040128 1655513088 1770838544 1804250592 1827962368 1862452224 1877594112 1886928896 1936637952 1992193362 2056457664 2073176832 2122795008 2138371072 2140053504 2178717696 2332323936 2405667456 2407560192 2483269632 2503458816 2656257816 2741943552 2764235776 2816391168 2830393344 2904956928 2988290043 3084686496 3109765248 3184192512 3207556608 3210080256 3311026176 3541677088 3608501184 3655924736 3724904448 3755188224 3984386724 4112915328 4146353664 4245590016 4276742144 4280107008 4357435392 4664647872 4811334912 4815120384 4966539264 5312515632 5483887104 5528471552 5632782336 5660786688 5809913856 5976580086 6169372992 6219530496 6368385024 6415113216 6420160512 7083354176 7217002368 7311849472 7449808896 7510376448 7968773448 8225830656 8292707328 8491180032 8553484288 8714870784 9329295744 9622669824 9630240768 9933078528 10625031264 10967774208 11056943104 11265564672 11953160172 12338745984 12439060992 12736770048 12830226432 12840321024 14166708352 14434004736 14623698944 14899617792 15937546896 16451661312 16585414656 16982360064 17106968576 17429741568 18658591488 19245339648 19260481536 21250062528 21935548416 22113886208 22531129344 23906320344 24677491968 24878121984 25473540096 25660452864 28333416704 28868009472 29247397888 29799235584 31875093792 32903322624 33170829312 34213937152 37317182976 38490679296 38520963072 42500125056 43871096832 44227772416 47812640688 49354983936 49756243968 50947080192 51320905728 56666833408 57736018944 58494795776 63750187584 65806645248 66341658624 74634365952 76981358592 85000250112 87742193664 95625281376 98709967872 99512487936 102641811456 113333666816 115472037888 127500375168 131613290496 132683317248 149268731904 153962717184 170000500224 175484387328 191250562752 197419935744 199024975872 226667333632 230944075776 255000750336 263226580992 298537463808 307925434368 340001000448 382501125504 394839871488 398049951744 453334667264 461888151552 510001500672 526453161984 597074927616 680002000896 765002251008 789679742976 906669334528 923776303104 1020003001344 1194149855232 1360004001792 1530004502016 1579359485952 1813338669056 2040006002688 2720008003584 3060009004032 4080012005376 5440016007168 6120018008064 8160024010752 12240036016128 16320048021504 24480072032256 48960144064512
- Sum of all divisors σ(n): 156500799089040
- Sum of proper divisors (its aliquot sum) s(n): 107540655024528
- 48960144064512 is an abundant number, because the sum of its proper divisors (107540655024528) is greater than itself. Its abundance is 58580510960016
Bases of 48960144064512
- Binary: 10110010000111011010111111111011000000000000002
- Hexadecimal: 0x2C876BFEC000
- Base-36: HCRZ9NUO0
Squares and roots of 48960144064512
- 48960144064512 squared (489601440645122) is 2397095706817769623617798144
- 48960144064512 cubed (489601440645123) is 117362151142221220769381152052004129865728
-
The
square root of 48960144064512 is 6997152.5683317783 -
The
cube root of 48960144064512 is 36583.1329768975
Scales and comparisons
How big is 48960144064512?- 48,960,144,064,512 seconds is equal to 1,556,781 years, 7 weeks, 1 day, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 48,960,144,064,512 would take you about three million, eight hundred ninety-one thousand, nine hundred fifty-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 48960144064512 cubic inches would be around 3048.6 feet tall.
Recreational maths with 48960144064512
- 48960144064512 backwards is 21546044106984
- 48960144064512 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48960144064512's digits is 54
- More coming soon!
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The information we have on file for 48960144064512 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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