12434852928000
12,434,852,928,000 is an even composite number composed of seven prime numbers multiplied together.
12434852928000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 12434852928000:
29 × 3 × 53 × 29 × 31 × 61 × 1181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 29 × 31 × 61 × 1181)See below for interesting mathematical facts about the number 12434852928000 from the Numbermatics database.
Names of 12434852928000
- Cardinal: 12434852928000 can be written as Twelve trillion, four hundred thirty-four billion, eight hundred fifty-two million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.2434852928 × 1013
Factors of 12434852928000
Divisors of 12434852928000
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 31 32 40 48 50 58 60 61 62 64 75 80 87 93 96 100 116 120 122 124 125 128 145 150 155 160 174 183 186 192 200 232 240 244 248 250 256 290 300 305 310 320 348 366 372 375 384 400 435 464 465 480 488 496 500 512 580 600 610 620 640 696 725 732 744 750 768 775 800 870 899 915 928 930 960 976 992 1000 1160 1181 1200 1220 1240 1280 1392 1450 1464 1488 1500 1525 1536 1550 1600 1740 1769 1798 1830 1856 1860 1891 1920 1952 1984 2000 2175 2320 2325 2362 2400 2440 2480 2560 2697 2784 2900 2928 2976 3000 3050 3100 3200 3480 3538 3543 3596 3625 3660 3712 3720 3782 3840 3875 3904 3968 4000 4350 4495 4575 4640 4650 4724 4800 4880 4960 5307 5394 5568 5673 5800 5856 5905 5952 6000 6100 6200 6400 6960 7076 7086 7192 7250 7320 7424 7440 7564 7625 7680 7750 7808 7936 8000 8700 8845 8990 9150 9280 9300 9448 9455 9600 9760 9920 10614 10788 10875 11136 11346 11600 11625 11712 11810 11904 12000 12200 12400 12800 13485 13920 14152 14172 14384 14500 14640 14848 14880 15128 15250 15500 15616 15872 16000 17400 17690 17715 17980 18300 18560 18600 18896 18910 19200 19520 19840 21228 21576 21750 22272 22475 22692 22875 23200 23250 23424 23620 23808 24000 24400 24800 26535 26970 27840 28304 28344 28365 28768 29000 29280 29525 29760 30256 30500 31000 31232 32000 34249 34800 35380 35430 35960 36600 36611 37120 37200 37792 37820 38400 39040 39680 42456 43152 43500 44225 44544 44950 45384 45750 46400 46500 46848 47240 47275 47616 48000 48800 49600 53070 53940 54839 55680 56608 56688 56730 57536 58000 58560 59050 59520 60512 61000 62000 64000 67425 68498 69600 70760 70860 71920 72041 73200 73222 74240 74400 75584 75640 78080 79360 84912 86304 87000 88450 88575 89900 90768 91500 92800 93000 93696 94480 94550 96000 97600 99200 102747 106140 107880 109678 109833 111360 112375 113216 113376 113460 115072 116000 117120 118100 119040 121024 122000 124000 132675 134850 136996 139200 141520 141720 141825 143840 144082 146400 146444 147625 148800 151168 151280 156160 164517 169824 171245 172608 174000 176900 177150 179800 181536 183000 183055 185600 186000 188960 189100 192000 195200 198400 205494 212280 215760 216123 219356 219666 221125 222720 224750 226432 226752 226920 230144 232000 234240 236200 236375 238080 242048 244000 248000 265350 269700 273992 274195 278400 283040 283440 283650 287680 288164 292800 292888 295250 297600 302336 302560 329034 337125 339648 342490 345216 348000 353800 354300 359600 360205 363072 366000 366110 371200 372000 377920 378200 390400 396800 410988 424560 431520 432246 438712 439332 442250 442875 449500 452864 453504 453840 460288 464000 468480 472400 472750 484096 488000 496000 513735 530700 539400 547984 548390 549165 556800 566080 566880 567300 575360 576328 585600 585776 590500 595200 604672 605120 658068 663375 674250 679296 684980 690432 696000 707600 708600 709125 719200 720410 726144 732000 732220 744000 755840 756400 780800 821976 822585 849120 856225 863040 864492 877424 878664 884500 885750 899000 905728 907008 907680 915275 928000 944800 945500 968192 976000 992000 1027470 1061400 1061719 1078800 1080615 1095968 1096780 1098330 1113600 1132160 1133760 1134600 1150720 1152656 1171200 1171552 1181000 1190400 1210240 1316136 1326750 1348500 1358592 1369960 1370975 1380864 1392000 1415200 1417200 1418250 1438400 1440820 1452288 1464000 1464440 1488000 1511680 1512800 1643952 1645170 1698240 1712450 1726080 1728984 1754848 1757328 1769000 1771500 1798000 1801025 1814016 1815360 1830550 1856000 1889600 1891000 1952000 1984000 2054940 2089189 2122800 2123438 2157600 2161230 2191936 2193560 2196660 2233271 2264320 2267520 2269200 2301440 2305312 2342400 2343104 2362000 2420480 2568675 2632272 2653500 2697000 2717184 2739920 2741950 2745825 2784000 2830400 2834400 2836500 2876800 2881640 2904576 2928000 2928880 2976000 3023360 3025600 3185157 3287904 3290340 3396480 3424900 3452160 3457968 3509696 3514656 3538000 3543000 3596000 3602050 3630720 3661100 3779200 3782000 3904000 4109880 4112925 4178378 4245600 4246876 4281125 4315200 4322460 4383872 4387120 4393320 4466542 4528640 4535040 4538400 4576375 4610624 4686208 4724000 4840960 5137350 5264544 5307000 5308595 5394000 5403075 5479840 5483900 5491650 5568000 5660800 5668800 5673000 5753600 5763280 5856000 5857760 5952000 6051200 6267567 6370314 6575808 6580680 6699813 6792960 6849800 6854875 6904320 6915936 7019392 7029312 7076000 7086000 7192000 7204100 7261440 7322200 7558400 7564000 8219760 8225850 8356756 8491200 8493752 8562250 8630400 8644920 8767744 8774240 8786640 8933084 9005125 9070080 9076800 9152750 9221248 9372416 9448000 10274700 10445945 10529088 10614000 10617190 10788000 10806150 10959680 10967800 10983300 11166355 11321600 11337600 11346000 11507200 11526560 11712000 11715520 12102400 12535134 12740628 12843375 13151616 13161360 13399626 13585920 13699600 13709750 13729125 13831872 14038784 14058624 14152000 14172000 14384000 14408200 14522880 14644400 15116800 15128000 15925785 16439520 16451700 16713512 16982400 16987504 17124500 17260800 17289840 17535488 17548480 17573280 17866168 18010250 18153600 18305500 18442496 18744832 18896000 20549400 20564625 20891890 21058176 21228000 21234380 21576000 21612300 21919360 21935600 21966600 22332710 22643200 22675200 22692000 23053120 23431040 24204800 25070268 25481256 25686750 26303232 26322720 26542975 26799252 27015375 27399200 27419500 27458250 27663744 28077568 28117248 28304000 28344000 28768000 28816400 29288800 30256000 31337835 31851570 32879040 32903400 33427024 33499065 33964800 33975008 34249000 34521600 34579680 35096960 35146560 35732336 36020500 36307200 36611000 36884992 37792000 41098800 41129250 41783780 42116352 42456000 42468760 43152000 43224600 43838720 43871200 43933200 44665420 45350400 45384000 46106240 46862080 50140536 50962512 51373500 52229725 52606464 52645440 53085950 53598504 54030750 54798400 54839000 54916500 55327488 55831775 56234496 56608000 56688000 57536000 57632800 58577600 60512000 62675670 63703140 64764859 65758080 65806800 66854048 66998130 67929600 67950016 68498000 69159360 70193920 70293120 71464672 72041000 72614400 73222000 75584000 79628925 82197600 82258500 83567560 84232704 84912000 84937520 86304000 86449200 87677440 87742400 87866400 89330840 90768000 92212480 93724160 100281072 101925024 102747000 104459450 105290880 106171900 107197008 108061500 109596800 109678000 109833000 110654976 111663550 113216000 113376000 115265600 117155200 121024000 125351340 127406280 129529718 131516160 131613600 132714875 133708096 133996260 135900032 136996000 138318720 140387840 140586240 142929344 144082000 146444000 156689175 159257850 164395200 164517000 167135120 167495325 169824000 169875040 172608000 172898400 175484800 175732800 178661680 181536000 184424960 194294577 200562144 203850048 205494000 208918900 210581760 212343800 214394016 216123000 219193600 219356000 219666000 223327100 226752000 230531200 234310400 250702680 254812560 259059436 261148625 263032320 263227200 265429750 267416192 267992520 271800064 273992000 276637440 279158875 281172480 285858688 288164000 292888000 313378350 318515700 323824295 328790400 329034000 334270240 334990650 339648000 339750080 345796800 350969600 351465600 357323360 363072000 388589154 398144625 401124288 407700096 410988000 417837800 421163520 424687600 428788032 432246000 438387200 438712000 439332000 446654200 461062400 468620800 501405360 509625120 518118872 522297250 526454400 530859500 534832384 535985040 543600128 547984000 553274880 558317750 571717376 576328000 585776000 626756700 637031400 647648590 657580800 658068000 668540480 669981300 679500160 691593600 701939200 702931200 714646720 777178308 783445875 796289250 802248576 815400192 821976000 835675600 837476625 849375200 857576064 864492000 877424000 878664000 893308400 922124800 971472885 1002810720 1019250240 1036237744 1044594500 1052908800 1061719000 1069664768 1071970080 1095968000 1116635500 1143434752 1152656000 1171552000 1253513400 1274062800 1295297180 1315161600 1316136000 1337080960 1339962600 1359000320 1383187200 1405862400 1429293440 1554356616 1566891750 1592578500 1604497152 1619121475 1630800384 1643952000 1671351200 1674953250 1698750400 1715152128 1728984000 1754848000 1757328000 1786616800 1942945770 2005621440 2038500480 2072475488 2089189000 2105817600 2123438000 2143940160 2191936000 2233271000 2305312000 2343104000 2507026800 2548125600 2590594360 2632272000 2674161920 2679925200 2718000640 2766374400 2858586880 3108713232 3133783500 3185157000 3208994304 3238242950 3287904000 3342702400 3349906500 3397500800 3430304256 3457968000 3509696000 3514656000 3573233600 3885891540 4011242880 4077000960 4144950976 4178378000 4246876000 4287880320 4466542000 4610624000 4857364425 5014053600 5096251200 5181188720 5264544000 5348323840 5359850400 5717173760 6217426464 6267567000 6370314000 6476485900 6575808000 6685404800 6699813000 6795001600 6915936000 7029312000 7146467200 7771783080 8022485760 8095607375 8154001920 8289901952 8356756000 8493752000 8575760640 8933084000 9714728850 10028107200 10192502400 10362377440 10529088000 10719700800 12434852928 12535134000 12740628000 12952971800 13370809600 13399626000 13590003200 13831872000 14292934400 15543566160 16044971520 16191214750 16579803904 16713512000 16987504000 17151521280 17866168000 19429457700 20056214400 20385004800 20724754880 21439401600 24286822125 24869705856 25070268000 25481256000 25905943600 26741619200 26799252000 28585868800 31087132320 32382429500 33159607808 33427024000 33975008000 35732336000 38858915400 40112428800 40770009600 41449509760 42878803200 48573644250 49739411712 50140536000 50962512000 51811887200 53598504000 62174264640 64764859000 66854048000 67950016000 71464672000 77717830800 80224857600 82899019520 85757606400 97147288500 99478823424 100281072000 101925024000 103623774400 107197008000 124348529280 129529718000 133708096000 142929344000 155435661600 165798039040 194294577000 200562144000 203850048000 207247548800 214394016000 248697058560 259059436000 310871323200 388589154000 401124288000 414495097600 428788032000 497394117120 518118872000 621742646400 777178308000 828990195200 1036237744000 1243485292800 1554356616000 2072475488000 2486970585600 3108713232000 4144950976000 6217426464000 12434852928000
- Sum of all divisors σ(n): 44909748449280
- Sum of proper divisors (its aliquot sum) s(n): 32474895521280
- 12434852928000 is an abundant number, because the sum of its proper divisors (32474895521280) is greater than itself. Its abundance is 20040042593280
Bases of 12434852928000
- Binary: 101101001111001101101111110111011010000000002
- Hexadecimal: 0xB4F36FDDA00
- Base-36: 4EOHQDHXC
Squares and roots of 12434852928000
- 12434852928000 squared (124348529280002) is 154625567340990173184000000
- 12434852928000 cubed (124348529280003) is 1922746188793772829436289482752000000000
-
The
square root of 12434852928000 is 3526308.6830281889 -
The
cube root of 12434852928000 is 23167.5557987567
Scales and comparisons
How big is 12434852928000?- 12,434,852,928,000 seconds is equal to 395,389 years, 44 weeks, 4 days, 21 hours, 20 minutes.
-
To count from 1 to 12,434,852,928,000 would take you about nine hundred eighty-eight thousand, four hundred seventy-four 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 12434852928000 cubic inches would be around 1930.6 feet tall.
Recreational maths with 12434852928000
- 12434852928000 backwards is 00082925843421
- 12434852928000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12434852928000's digits is 48
- 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 12434852928000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 12434852928000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/12434852928000/
Chicago style:
Numbermatics. 2024. "Number 12434852928000 - Facts about the integer". https://numbermatics.com/n/12434852928000/
The information we have on file for 12434852928000 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 12434852928000, math, Factors of 12434852928000, curriculum, school, college, exams, university, Prime factorization of 12434852928000, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, four hundred thirty-four billion, eight hundred fifty-two million, nine hundred twenty-eight thousand.