12428868096000
12,428,868,096,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 12428868096000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2080 divisors.
12428868096000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and eighty divisors.
Prime factorization of 12428868096000:
212 × 34 × 53 × 173 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 17 × 61)See below for interesting mathematical facts about the number 12428868096000 from the Numbermatics database.
Names of 12428868096000
- Cardinal: 12428868096000 can be written as Twelve trillion, four hundred twenty-eight billion, eight hundred sixty-eight million, ninety-six thousand.
Scientific notation
- Scientific notation: 1.2428868096 × 1013
Factors of 12428868096000
Divisors of 12428868096000
- Number of divisors d(n): 2080
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 61 64 68 72 75 80 81 85 90 96 100 102 108 120 122 125 128 135 136 144 150 153 160 162 170 180 183 192 200 204 216 225 240 244 250 255 256 270 272 288 289 300 305 306 320 324 340 360 366 375 384 400 405 408 425 432 450 459 480 488 500 510 512 540 544 549 576 578 600 610 612 640 648 675 680 720 732 750 765 768 800 810 816 850 864 867 900 915 918 960 976 1000 1020 1024 1037 1080 1088 1098 1125 1152 1156 1200 1220 1224 1275 1280 1296 1350 1360 1377 1440 1445 1464 1500 1525 1530 1536 1600 1620 1632 1647 1700 1728 1734 1800 1830 1836 1920 1952 2000 2025 2040 2048 2074 2125 2160 2176 2196 2250 2295 2304 2312 2400 2440 2448 2550 2560 2592 2601 2700 2720 2745 2754 2880 2890 2928 3000 3050 3060 3072 3111 3200 3240 3264 3294 3375 3400 3456 3468 3600 3660 3672 3825 3840 3904 4000 4050 4080 4096 4148 4250 4320 4335 4352 4392 4500 4575 4590 4608 4624 4800 4880 4896 4913 4941 5100 5120 5184 5185 5202 5400 5440 5490 5508 5760 5780 5856 6000 6100 6120 6144 6222 6375 6400 6480 6528 6588 6750 6800 6885 6912 6936 7200 7225 7320 7344 7625 7650 7680 7803 7808 8000 8100 8160 8235 8296 8500 8640 8670 8704 8784 9000 9150 9180 9216 9248 9333 9600 9760 9792 9826 9882 10125 10200 10240 10368 10370 10404 10800 10880 10980 11016 11475 11520 11560 11712 12000 12200 12240 12288 12444 12750 12800 12960 13005 13056 13176 13500 13600 13725 13770 13824 13872 14400 14450 14640 14688 14739 15250 15300 15360 15555 15606 15616 16000 16200 16320 16470 16592 17000 17280 17340 17408 17568 17629 18000 18300 18360 18432 18496 18666 19125 19200 19520 19584 19652 19764 20250 20400 20480 20736 20740 20808 21600 21675 21760 21960 22032 22875 22950 23040 23120 23409 23424 24000 24400 24480 24565 24705 24888 25500 25600 25920 25925 26010 26112 26352 27000 27200 27450 27540 27648 27744 27999 28800 28900 29280 29376 29478 30500 30600 30720 31110 31212 31232 32000 32400 32640 32940 33184 34000 34425 34560 34680 34816 35136 35258 36000 36125 36600 36720 36864 36992 37332 38250 38400 39015 39040 39168 39304 39528 40500 40800 41175 41472 41480 41616 43200 43350 43520 43920 44064 44217 45750 45900 46080 46240 46665 46818 46848 48000 48800 48960 49130 49410 49776 51000 51200 51840 51850 52020 52224 52704 52887 54000 54400 54900 55080 55296 55488 55998 57375 57600 57800 58560 58752 58956 61000 61200 61440 62220 62424 62464 64000 64800 65025 65280 65880 66368 68000 68625 68850 69120 69360 69632 70272 70516 72000 72250 73200 73440 73695 73984 74664 76500 76800 77775 78030 78080 78336 78608 79056 81000 81600 82350 82944 82960 83232 83997 86400 86700 87040 87840 88128 88145 88434 91500 91800 92160 92480 93330 93636 93696 96000 97600 97920 98260 98820 99552 102000 102400 103680 103700 104040 104448 105408 105774 108000 108375 108800 109800 110160 110592 110976 111996 114750 115200 115600 117045 117120 117504 117912 122000 122400 122825 123525 124440 124848 124928 128000 129600 129625 130050 130560 131760 132651 132736 136000 137250 137700 138240 138720 139995 140544 141032 144000 144500 146400 146880 147390 147968 149328 153000 153600 155550 156060 156160 156672 157216 158112 158661 162000 163200 164700 165888 165920 166464 167994 172125 172800 173400 174080 175680 176256 176290 176868 183000 183600 184320 184960 186660 187272 187392 192000 195075 195200 195840 196520 197640 199104 204000 205875 207360 207400 208080 208896 210816 211548 216000 216750 217600 219600 220320 221085 221952 223992 229500 230400 231200 233325 234090 234240 235008 235824 244000 244800 245650 247050 248880 249696 249856 256000 259200 259250 260100 261120 263520 264435 265302 265472 272000 274500 275400 276480 277440 279990 281088 282064 288000 289000 292800 293760 294780 295936 298656 299693 306000 307200 311100 312120 312320 313344 314432 316224 317322 324000 325125 326400 329400 331776 331840 332928 335988 344250 345600 346800 348160 351360 352512 352580 353736 366000 367200 368475 369920 373320 374544 374784 384000 388875 390150 390400 391680 393040 395280 397953 398208 408000 411750 414720 414800 416160 419985 421632 423096 432000 433500 435200 439200 440640 440725 442170 443904 447984 459000 460800 462400 466650 468180 468480 470016 471648 475983 488000 489600 491300 494100 497760 499392 512000 518400 518500 520200 522240 527040 528870 530604 530944 544000 549000 550800 552960 554880 559980 562176 564128 576000 578000 585225 585600 587520 589560 591872 597312 599386 612000 614125 617625 622200 624240 624640 626688 628864 632448 634644 648000 650250 652800 658800 663255 663680 665856 671976 688500 691200 693600 699975 702720 705024 705160 707472 732000 734400 736950 739840 746640 749088 749568 768000 777750 780300 780800 783360 786080 790560 793305 795906 796416 816000 823500 829440 829600 832320 839970 843264 846192 864000 867000 870400 878400 881280 881450 884340 887808 895968 899079 918000 921600 924800 933300 936360 936960 940032 943296 951966 975375 976000 979200 982600 988200 995520 998784 1036800 1037000 1040400 1044480 1054080 1057740 1061208 1061888 1088000 1098000 1101600 1105425 1109760 1119960 1124352 1128256 1152000 1156000 1166625 1170450 1171200 1175040 1179120 1183744 1194624 1198772 1224000 1228250 1235250 1244400 1248480 1249280 1257728 1264896 1269288 1296000 1300500 1305600 1317600 1322175 1326510 1327360 1331712 1343952 1377000 1382400 1387200 1399950 1405440 1410048 1410320 1414944 1427949 1464000 1468800 1473900 1479680 1493280 1498176 1498465 1536000 1555500 1560600 1561600 1566720 1572160 1581120 1586610 1591812 1592832 1632000 1647000 1658880 1659200 1664640 1679940 1686528 1692384 1728000 1734000 1740800 1756800 1762560 1762900 1768680 1775616 1791936 1798158 1836000 1842375 1849600 1866600 1872720 1873920 1880064 1886592 1903932 1950750 1952000 1958400 1965200 1976400 1989765 1991040 1997568 2073600 2074000 2080800 2099925 2108160 2115480 2122416 2123776 2176000 2196000 2203200 2203625 2210850 2219520 2239920 2248704 2256512 2304000 2312000 2333250 2340900 2342400 2350080 2358240 2379915 2389248 2397544 2448000 2456500 2470500 2488800 2496960 2515456 2529792 2538576 2592000 2601000 2611200 2635200 2644350 2653020 2654720 2663424 2687904 2697237 2754000 2764800 2774400 2799900 2810880 2820096 2820640 2829888 2855898 2926125 2928000 2937600 2947800 2959360 2986560 2996352 2996930 3111000 3121200 3123200 3133440 3144320 3162240 3173220 3183624 3185664 3264000 3294000 3316275 3318400 3329280 3359880 3373056 3384768 3456000 3468000 3499875 3513600 3525120 3525800 3537360 3551232 3583872 3596316 3672000 3684750 3699200 3733200 3745440 3747840 3773184 3807864 3901500 3904000 3916800 3930400 3952800 3966525 3979530 3982080 3995136 4147200 4148000 4161600 4199850 4216320 4230960 4244832 4247552 4352000 4392000 4406400 4407250 4421700 4439040 4479840 4495395 4513024 4608000 4624000 4666500 4681800 4684800 4700160 4716480 4759830 4778496 4795088 4896000 4913000 4941000 4977600 4993920 5030912 5059584 5077152 5184000 5202000 5222400 5270400 5288700 5306040 5309440 5326848 5375808 5394474 5508000 5527125 5548800 5599800 5621760 5640192 5641280 5659776 5711796 5852250 5856000 5875200 5895600 5918720 5973120 5992704 5993860 6222000 6242400 6246400 6288640 6324480 6346440 6367248 6371328 6528000 6588000 6610875 6632550 6636800 6658560 6719760 6746112 6769536 6912000 6936000 6999750 7027200 7050240 7051600 7074720 7139745 7167744 7192632 7344000 7369500 7398400 7466400 7490880 7492325 7546368 7615728 7803000 7808000 7833600 7860800 7905600 7933050 7959060 7964160 7990272 8091711 8294400 8296000 8323200 8399700 8432640 8461920 8489664 8704000 8784000 8812800 8814500 8843400 8878080 8959680 8990790 9026048 9248000 9333000 9363600 9369600 9400320 9432960 9519660 9556992 9590176 9792000 9826000 9882000 9948825 9955200 9987840 10061824 10119168 10154304 10368000 10404000 10499625 10540800 10577400 10612080 10618880 10653696 10751616 10788948 11016000 11054250 11097600 11199600 11243520 11282560 11319552 11423592 11704500 11712000 11750400 11791200 11899575 11946240 11985408 11987720 12444000 12484800 12577280 12648960 12692880 12734496 12742656 13056000 13176000 13221750 13265100 13273600 13317120 13439520 13486185 13539072 13824000 13872000 13999500 14054400 14100480 14103200 14149440 14279490 14335488 14385264 14688000 14739000 14796800 14932800 14981760 14984650 15092736 15231456 15606000 15616000 15667200 15721600 15811200 15866100 15918120 15928320 15980544 16183422 16581375 16592000 16646400 16799400 16865280 16923840 16979328 17568000 17625600 17629000 17686800 17756160 17919360 17981580 18052096 18496000 18666000 18727200 18739200 18865920 19039320 19113984 19180352 19584000 19652000 19764000 19832625 19897650 19910400 19975680 20123648 20238336 20308608 20736000 20808000 20999250 21081600 21154800 21224160 21237760 21503232 21577896 22032000 22108500 22195200 22399200 22476975 22565120 22639104 22847184 23409000 23424000 23500800 23582400 23799150 23892480 23970816 23975440 24275133 24888000 24969600 25154560 25297920 25385760 25468992 26112000 26352000 26443500 26530200 26547200 26634240 26879040 26972370 27078144 27744000 27999000 28108800 28200960 28206400 28298880 28558980 28670976 28770528 29376000 29478000 29593600 29865600 29963520 29969300 30185472 30462912 31212000 31232000 31443200 31622400 31732200 31836240 31856640 31961088 32366844 33162750 33184000 33292800 33598800 33730560 33847680 33958656 35136000 35251200 35258000 35373600 35698725 35838720 35963160 36104192 36992000 37332000 37454400 37461625 37731840 38078640 38227968 38360704 39168000 39304000 39528000 39665250 39795300 39820800 39951360 40458555 40617216 41472000 41616000 41998500 42163200 42309600 42448320 43006464 43155792 44064000 44217000 44390400 44798400 44953950 45130240 45278208 45694368 46818000 46848000 47001600 47164800 47598300 47784960 47941632 47950880 48550266 49744125 49776000 49939200 50309120 50595840 50771520 50937984 52704000 52887000 53060400 53094400 53268480 53758080 53944740 54156288 55488000 55998000 56217600 56412800 56597760 57117960 57341952 57541056 58752000 58956000 59497875 59731200 59927040 59938600 60370944 60925824 62424000 62886400 63244800 63464400 63672480 63713280 64733688 66325500 66368000 66585600 67197600 67430925 67695360 67917312 70272000 70502400 70516000 70747200 71397450 71677440 71926320 72208384 73984000 74664000 74908800 74923250 75463680 76157280 76721408 78336000 78608000 79056000 79330500 79590600 79641600 79902720 80917110 81234432 83232000 83997000 84326400 84619200 84896640 86012928 86311584 88128000 88434000 88780800 89596800 89907900 90260480 90556416 91388736 93636000 93696000 94329600 95196600 95569920 95883264 95901760 97100532 99488250 99552000 99878400 100618240 101191680 101543040 101875968 105408000 105774000 106120800 106188800 107516160 107889480 108312576 110976000 111996000 112384875 112825600 113195520 114235920 114683904 115082112 117504000 117912000 118995750 119462400 119854080 119877200 121375665 121851648 124848000 125772800 126489600 126928800 127344960 129467376 132651000 132736000 133171200 134395200 134861850 135390720 135834624 140544000 141004800 141032000 141494400 142794900 143354880 143852640 147968000 149328000 149817600 149846500 150927360 152314560 153442816 157216000 158112000 158661000 159181200 159283200 159805440 161834220 162468864 166464000 167994000 168652800 169238400 169793280 172025856 172623168 176256000 176868000 178493625 179193600 179815800 180520960 181112832 182777472 187272000 188659200 190393200 191139840 191803520 194201064 198976500 199104000 199756800 202292775 203086080 203751936 210816000 211548000 212241600 215032320 215778960 216625152 221952000 223992000 224769750 225651200 226391040 228471840 230164224 235008000 235824000 237991500 238924800 239708160 239754400 242751330 243703296 249696000 251545600 252979200 253857600 254689920 258934752 265302000 265472000 266342400 268790400 269723700 270781440 271669248 281088000 282064000 282988800 285589800 286709760 287705280 298656000 299635200 299693000 301854720 304629120 306885632 314432000 316224000 317322000 318362400 318566400 323668440 324937728 332928000 335988000 337154625 338476800 339586560 344051712 345246336 352512000 353736000 356987250 358387200 359631600 361041920 365554944 374544000 377318400 380786400 383607040 388402128 397953000 398208000 399513600 404585550 406172160 407503872 421632000 423096000 424483200 430064640 431557920 443904000 447984000 449539500 451302400 452782080 456943680 460328448 471648000 475983000 477849600 479416320 479508800 485502660 487406592 499392000 503091200 505958400 507715200 509379840 517869504 530604000 530944000 537580800 539447400 541562880 543338496 564128000 565977600 571179600 573419520 575410560 597312000 599270400 599386000 606878325 609258240 613771264 628864000 632448000 634644000 636724800 647336880 649875456 665856000 671976000 674309250 676953600 679173120 690492672 705024000 707472000 713974500 716774400 719263200 731109888 749088000 754636800 761572800 767214080 776804256 795906000 796416000 799027200 809171100 812344320 815007744 843264000 846192000 848966400 860129280 863115840 895968000 899079000 902604800 905564160 913887360 920656896 943296000 951966000 955699200 959017600 971005320 974813184 998784000 1011463875 1015430400 1018759680 1035739008 1061208000 1075161600 1078894800 1083125760 1128256000 1131955200 1142359200 1150821120 1194624000 1198540800 1198772000 1213756650 1218516480 1227542528 1257728000 1264896000 1269288000 1273449600 1294673760 1331712000 1343952000 1348618500 1353907200 1358346240 1380985344 1414944000 1427949000 1433548800 1438526400 1462219776 1498176000 1509273600 1523145600 1534428160 1553608512 1591812000 1592832000 1618342200 1624688640 1630015488 1692384000 1697932800 1720258560 1726231680 1791936000 1798158000 1805209600 1827774720 1841313792 1886592000 1903932000 1918035200 1942010640 1949626368 1997568000 2022927750 2030860800 2037519360 2071478016 2122416000 2150323200 2157789600 2256512000 2263910400 2284718400 2301642240 2389248000 2397081600 2397544000 2427513300 2437032960 2515456000 2529792000 2538576000 2546899200 2589347520 2687904000 2697237000 2707814400 2716692480 2761970688 2829888000 2855898000 2867097600 2877052800 2924439552 2996352000 3034391625 3046291200 3068856320 3107217024 3183624000 3236684400 3249377280 3384768000 3395865600 3452463360 3583872000 3596316000 3655549440 3682627584 3773184000 3807864000 3836070400 3884021280 3995136000 4045855500 4061721600 4075038720 4142956032 4244832000 4300646400 4315579200 4513024000 4527820800 4569436800 4603284480 4778496000 4795088000 4855026600 4874065920 5077152000 5093798400 5178695040 5375808000 5394474000 5415628800 5523941376 5659776000 5711796000 5754105600 5848879104 5992704000 6068783250 6092582400 6137712640 6214434048 6367248000 6473368800 6769536000 6791731200 6904926720 7167744000 7192632000 7311098880 7546368000 7615728000 7672140800 7768042560 8091711000 8123443200 8150077440 8285912064 8489664000 8601292800 8631158400 9026048000 9138873600 9206568960 9590176000 9710053200 9748131840 10154304000 10187596800 10357390080 10751616000 10788948000 11047882752 11319552000 11423592000 11508211200 11985408000 12137566500 12185164800 12428868096 12734496000 12946737600 13539072000 13583462400 13809853440 14335488000 14385264000 14622197760 15231456000 15344281600 15536085120 16183422000 16246886400 16571824128 16979328000 17262316800 18277747200 18413137920 19180352000 19420106400 20308608000 20375193600 20714780160 21503232000 21577896000 22639104000 22847184000 23016422400 24275133000 24370329600 24857736192 25468992000 25893475200 27078144000 27619706880 28770528000 29244395520 30462912000 30688563200 31072170240 32366844000 33143648256 33958656000 34524633600 36555494400 38360704000 38840212800 40617216000 40750387200 41429560320 43006464000 43155792000 45694368000 46032844800 48550266000 48740659200 49715472384 50937984000 51786950400 55239413760 57541056000 60925824000 62144340480 64733688000 67917312000 69049267200 73110988800 76721408000 77680425600 81234432000 82859120640 86311584000 91388736000 92065689600 97100532000 99430944768 101875968000 103573900800 115082112000 121851648000 124288680960 129467376000 138098534400 146221977600 153442816000 155360851200 165718241280 172623168000 182777472000 194201064000 203751936000 207147801600 230164224000 243703296000 248577361920 258934752000 276197068800 310721702400 345246336000 365554944000 388402128000 414295603200 460328448000 497154723840 517869504000 621443404800 690492672000 731109888000 776804256000 828591206400 1035739008000 1242886809600 1380985344000 1553608512000 2071478016000 2485773619200 3107217024000 4142956032000 6214434048000 12428868096000
- Sum of all divisors σ(n): 50039053590240
- Sum of proper divisors (its aliquot sum) s(n): 37610185494240
- 12428868096000 is an abundant number, because the sum of its proper divisors (37610185494240) is greater than itself. Its abundance is 25181317398240
Bases of 12428868096000
- Binary: 101101001101110100100100010010010000000000002
- Hexadecimal: 0xB4DD2449000
- Base-36: 4ELQR5S00
Squares and roots of 12428868096000
- 12428868096000 squared (124288680960002) is 154476762147766665216000000
- 12428868096000 cubed (124288680960003) is 1919971300631757542955455348736000000000
-
The
square root of 12428868096000 is 3525459.9836049763 -
The
cube root of 12428868096000 is 23163.8383930493
Scales and comparisons
How big is 12428868096000?- 12,428,868,096,000 seconds is equal to 395,199 years, 29 weeks, 1 day.
-
To count from 1 to 12,428,868,096,000 would take you about nine hundred eighty-seven thousand, nine hundred ninety-eight 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 12428868096000 cubic inches would be around 1930.3 feet tall.
Recreational maths with 12428868096000
- 12428868096000 backwards is 00069086882421
- 12428868096000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12428868096000's digits is 54
- 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 12428868096000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 12428868096000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/12428868096000/
Chicago style:
Numbermatics. 2024. "Number 12428868096000 - Facts about the integer". https://numbermatics.com/n/12428868096000/
The information we have on file for 12428868096000 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 12428868096000, math, Factors of 12428868096000, curriculum, school, college, exams, university, Prime factorization of 12428868096000, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, four hundred twenty-eight billion, eight hundred sixty-eight million, ninety-six thousand.