48628832384000
48,628,832,384,000 is an even composite number composed of six prime numbers multiplied together.
48628832384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 48628832384000:
210 × 53 × 11 × 172 × 127 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 17 × 17 × 127 × 941)See below for interesting mathematical facts about the number 48628832384000 from the Numbermatics database.
Names of 48628832384000
- Cardinal: 48628832384000 can be written as Forty-eight trillion, six hundred twenty-eight billion, eight hundred thirty-two million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 4.8628832384 × 1013
Factors of 48628832384000
Divisors of 48628832384000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 64 68 80 85 88 100 110 125 127 128 136 160 170 176 187 200 220 250 254 256 272 275 289 320 340 352 374 400 425 440 500 508 512 544 550 578 635 640 680 704 748 800 850 880 935 941 1000 1016 1024 1088 1100 1156 1270 1280 1360 1375 1397 1408 1445 1496 1600 1700 1760 1870 1882 2000 2032 2125 2159 2176 2200 2312 2540 2560 2720 2750 2794 2816 2890 2992 3175 3179 3200 3400 3520 3740 3764 4000 4064 4250 4318 4352 4400 4624 4675 4705 5080 5120 5440 5500 5588 5632 5780 5984 6350 6358 6400 6800 6985 7040 7225 7480 7528 8000 8128 8500 8636 8704 8800 9248 9350 9410 10160 10351 10795 10880 11000 11176 11264 11560 11968 12700 12716 12800 13600 13970 14080 14450 14960 15056 15875 15895 15997 16000 16256 17000 17272 17408 17600 18496 18700 18820 20320 20702 21590 21760 22000 22352 23120 23375 23525 23749 23936 25400 25432 25600 27200 27940 28160 28900 29920 30112 31750 31790 31994 32000 32512 34000 34544 34925 35200 36125 36703 36992 37400 37640 40640 41404 43180 43520 44000 44704 46240 46750 47050 47498 47872 50800 50864 51755 53975 54400 55880 56320 57800 59840 60224 63500 63580 63988 64000 65024 68000 69088 69850 70400 72250 73406 73984 74800 75280 79475 79985 81280 82808 86360 87040 88000 89408 92480 93500 94100 94996 95744 101600 101728 103510 107950 108800 111760 115600 117625 118745 119507 119680 120448 127000 127160 127976 128000 130048 136000 138176 139700 140800 144500 146812 147968 149600 150560 158950 159970 162560 165616 172720 174625 175967 176000 178816 183515 184960 187000 188200 189992 191488 203200 203456 207020 215900 217600 223520 231200 235250 237490 239014 239360 240896 254000 254320 255952 258775 269875 271949 272000 276352 279400 281600 289000 293624 295936 299200 301120 317900 319940 325120 331232 345440 349250 351934 352000 357632 367030 369920 374000 376400 379984 397375 399925 403733 406400 406912 414040 431800 435200 447040 462400 470500 474980 478028 478720 481792 508000 508640 511904 517550 539750 543898 544000 552704 558800 578000 587248 593725 597535 598400 602240 635800 639880 650240 662464 690880 698500 703868 704000 715264 734060 739840 748000 752800 759968 794750 799850 807466 812800 813824 828080 863600 879835 894080 917575 924800 941000 949960 956056 957440 963584 1016000 1017280 1023808 1035100 1079500 1087796 1088000 1105408 1117600 1156000 1174496 1187450 1195070 1196800 1204480 1271600 1279760 1293875 1314577 1324928 1359745 1381760 1397000 1407736 1408000 1430528 1468120 1479680 1496000 1505600 1519936 1589500 1599700 1614932 1625600 1627648 1656160 1727200 1759670 1788160 1835150 1849600 1882000 1899920 1912112 1999625 2018665 2031619 2032000 2034560 2047616 2070200 2159000 2175592 2176000 2210816 2235200 2312000 2348992 2374900 2390140 2393600 2408960 2543200 2559520 2587750 2629154 2649856 2719490 2763520 2794000 2815472 2936240 2968625 2987675 2991439 2992000 3011200 3039872 3179000 3199400 3229864 3251200 3255296 3312320 3454400 3519340 3576320 3670300 3699200 3764000 3799840 3824224 3999250 4037330 4063238 4064000 4069120 4095232 4140400 4318000 4351184 4399175 4470400 4587875 4624000 4697984 4749800 4780280 4787200 4817920 5086400 5119040 5175500 5258308 5299712 5438980 5527040 5588000 5630944 5872480 5937250 5975350 5982878 5984000 6022400 6079744 6358000 6398800 6459728 6572885 6624640 6798725 6908800 7038680 7152640 7340600 7398400 7528000 7599680 7648448 7998500 8074660 8126476 8128000 8138240 8190464 8280800 8636000 8702368 8798350 8940800 9175750 9248000 9395968 9499600 9560560 10093325 10158095 10172800 10238080 10351000 10516616 10599424 10877960 11054080 11176000 11261888 11744960 11874500 11950700 11965756 11968000 12044800 12159488 12716000 12797600 12919456 13145770 13249280 13597450 13817600 14077360 14681200 14938375 14957195 15056000 15199360 15296896 15997000 16149320 16252952 16256000 16276480 16380928 16561600 17272000 17404736 17596700 17881600 18351500 18496000 18791936 18999200 19121120 20186650 20316190 20345600 20476160 20702000 21033232 21755920 21995875 22347809 22352000 22523776 23489920 23749000 23901400 23931512 23936000 24089600 24318976 25432000 25595200 25838912 26291540 26498560 27194900 27635200 28154720 29362400 29876750 29914390 30112000 30398720 30593792 31994000 32298640 32505904 32864425 33123200 33993625 34537523 34544000 34809472 35193400 35763200 36703000 36992000 37583872 37998400 38242240 40373300 40632380 40691200 40952320 41404000 42066464 43511840 43991750 44695618 44704000 45047552 46979840 47498000 47802800 47863024 50466625 50790475 50864000 51190400 51677824 52583080 52997120 54389800 55270400 56309440 58724800 59753500 59828780 60224000 60797440 61187584 63988000 64597280 65011808 65728850 66246400 67987250 69075046 69088000 69618944 70386800 73406000 74785975 75996800 76484480 80746600 81264760 81382400 81904640 82808000 84132928 87023680 87983500 89391236 89408000 90095104 93959680 94996000 95605600 95726048 100933250 101580950 101728000 102380800 103355648 105166160 108779600 111739045 112618880 117449600 119507000 119657560 120448000 121594880 122375168 127976000 129194560 130023616 131457700 132492800 135974500 138150092 138176000 139237888 140773600 146812000 149571950 151993600 152968960 161493200 162529520 164322125 165616000 168265856 172687615 174047360 175967000 178782472 178816000 180190208 187919360 189992000 191211200 191452096 201866500 203161900 203456000 204761600 206711296 210332320 217559200 223478090 225237760 234899200 239014000 239315120 253952375 255952000 258389120 260047232 262915400 264985600 271949000 276300184 276352000 278475776 281547200 293624000 299143900 303987200 305937920 322986400 325059040 328644250 331232000 336531712 345375230 348094720 351934000 357564944 373929875 379912753 379984000 382422400 382904192 403733000 406323800 406912000 409523200 413422592 420664640 435118400 446956180 450475520 469798400 478028000 478630240 507904750 511904000 516778240 520094464 525830800 543898000 552600368 558695225 563094400 587248000 598287800 607974400 611875840 645972800 650118080 657288500 662464000 673063424 690750460 696189440 703868000 715129888 747859750 759825506 759968000 764844800 765808384 807466000 812647600 841329280 863438075 870236800 893912360 900951040 939596800 956056000 957260480 1015809500 1023808000 1033556480 1040188928 1051661600 1087796000 1105200736 1117390450 1126188800 1174496000 1196575600 1291945600 1300236160 1314577000 1324928000 1346126848 1381500920 1392378880 1407736000 1430259776 1495719500 1519651012 1519936000 1529689600 1531616768 1614932000 1625295200 1682658560 1726876150 1740473600 1787824720 1899563765 1912112000 1914520960 2031619000 2047616000 2067112960 2080377856 2103323200 2175592000 2210401472 2234780900 2252377600 2348992000 2393151200 2583891200 2600472320 2629154000 2763001840 2793476125 2815472000 2860519552 2991439000 3039302024 3039872000 3059379200 3063233536 3229864000 3250590400 3365317120 3453752300 3480947200 3575649440 3799127530 3824224000 3829041920 4063238000 4206646400 4317190375 4351184000 4420802944 4469561800 4504755200 4697984000 4786302400 5167782400 5200944640 5258308000 5526003680 5586952250 5630944000 5721039104 5982878000 6078604048 6459728000 6501180800 6730634240 6907504600 6961894400 7151298880 7598255060 7648448000 7658083840 8126476000 8413292800 8634380750 8702368000 8841605888 8939123600 9497818825 9572604800 10335564800 10401889280 10516616000 11052007360 11173904500 11261888000 11442078208 11965756000 12157208096 12919456000 13002361600 13815009200 14302597760 15196510120 15296896000 15316167680 16252952000 16826585600 17268761500 17404736000 17683211776 17878247200 18995637650 19145209600 21033232000 22104014720 22347809000 22523776000 22884156416 23931512000 24314416192 25838912000 26004723200 27630018400 28605195520 30393020240 32505904000 33653171200 34537523000 34809472000 35366423552 35756494400 37991275300 38290419200 42066464000 44208029440 44695618000 47489094125 47863024000 48628832384 51677824000 52009446400 55260036800 57210391040 60786040480 65011808000 69075046000 71512988800 75982550600 76580838400 84132928000 88416058880 89391236000 94978188250 95726048000 97257664768 110520073600 114420782080 121572080960 130023616000 138150092000 143025977600 151965101200 168265856000 176832117760 178782472000 189956376500 191452096000 194515329536 221040147200 243144161920 260047232000 276300184000 286051955200 303930202400 357564944000 379912753000 382904192000 389030659072 442080294400 486288323840 552600368000 572103910400 607860404800 715129888000 759825506000 884160588800 972576647680 1105200736000 1215720809600 1430259776000 1519651012000 1945153295360 2210401472000 2431441619200 2860519552000 3039302024000 4420802944000 4862883238400 6078604048000 9725766476800 12157208096000 24314416192000 48628832384000
- Sum of all divisors σ(n): 141847907954688
- Sum of proper divisors (its aliquot sum) s(n): 93219075570688
- 48628832384000 is an abundant number, because the sum of its proper divisors (93219075570688) is greater than itself. Its abundance is 44590243186688
Bases of 48628832384000
- Binary: 10110000111010010010000100011110110100000000002
- Hexadecimal: 0x2C3A4847B400
- Base-36: H8JRZ8PVK
Squares and roots of 48628832384000
- 48628832384000 squared (486288323840002) is 2364763339031167123456000000
- 48628832384000 cubed (486288323840003) is 114995680041574790998433258799104000000000
-
The
square root of 48628832384000 is 6973437.6303226517 -
The
cube root of 48628832384000 is 36500.4271880945
Scales and comparisons
How big is 48628832384000?- 48,628,832,384,000 seconds is equal to 1,546,246 years, 23 weeks, 3 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 48,628,832,384,000 would take you about three million, eight hundred sixty-five thousand, six hundred sixteen 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 48628832384000 cubic inches would be around 3041.7 feet tall.
Recreational maths with 48628832384000
- 48628832384000 backwards is 00048323882684
- The number of decimal digits it has is: 14
- The sum of 48628832384000's digits is 56
- 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 48628832384000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 48628832384000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/48628832384000/
Chicago style:
Numbermatics. 2024. "Number 48628832384000 - Facts about the integer". https://numbermatics.com/n/48628832384000/
The information we have on file for 48628832384000 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 48628832384000, math, Factors of 48628832384000, curriculum, school, college, exams, university, Prime factorization of 48628832384000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, six hundred twenty-eight billion, eight hundred thirty-two million, three hundred eighty-four thousand.