14137888128000
14,137,888,128,000 is an even composite number composed of seven prime numbers multiplied together.
14137888128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 14137888128000:
210 × 3 × 53 × 7 × 13 × 43 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 43 × 97 × 97)See below for interesting mathematical facts about the number 14137888128000 from the Numbermatics database.
Names of 14137888128000
- Cardinal: 14137888128000 can be written as Fourteen trillion, one hundred thirty-seven billion, eight hundred eighty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.4137888128 × 1013
Factors of 14137888128000
Divisors of 14137888128000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 43 48 50 52 56 60 64 65 70 75 78 80 84 86 91 96 97 100 104 105 112 120 125 128 129 130 140 150 156 160 168 172 175 182 192 194 195 200 208 210 215 224 240 250 256 258 260 273 280 291 300 301 312 320 325 336 344 350 364 375 384 388 390 400 416 420 430 448 455 480 485 500 512 516 520 525 546 559 560 582 600 602 624 640 645 650 672 679 688 700 728 750 768 776 780 800 832 840 860 875 896 903 910 960 970 975 1000 1024 1032 1040 1050 1075 1092 1118 1120 1164 1200 1204 1248 1261 1280 1290 1300 1344 1358 1365 1376 1400 1455 1456 1500 1505 1536 1552 1560 1600 1625 1664 1677 1680 1720 1750 1792 1806 1820 1920 1940 1950 2000 2037 2064 2080 2100 2150 2184 2236 2240 2275 2328 2400 2408 2425 2496 2522 2560 2580 2600 2625 2688 2716 2730 2752 2795 2800 2910 2912 3000 3010 3072 3104 3120 3200 3225 3250 3328 3354 3360 3395 3440 3500 3584 3612 3640 3783 3840 3880 3900 3913 4000 4074 4128 4160 4171 4200 4300 4368 4472 4480 4515 4550 4656 4800 4816 4850 4875 4992 5044 5120 5160 5200 5250 5375 5376 5432 5460 5504 5590 5600 5820 5824 6000 6020 6208 6240 6305 6400 6450 6500 6656 6708 6720 6790 6825 6880 7000 7168 7224 7275 7280 7525 7566 7680 7760 7800 7826 8000 8148 8256 8320 8342 8385 8400 8600 8736 8827 8944 8960 9030 9100 9312 9409 9600 9632 9700 9750 9984 10088 10185 10320 10400 10500 10750 10752 10864 10920 11008 11180 11200 11375 11640 11648 11739 12000 12040 12125 12416 12480 12513 12610 12800 12900 13000 13312 13416 13440 13580 13650 13760 13975 14000 14448 14550 14560 15050 15132 15360 15520 15600 15652 16000 16125 16296 16512 16640 16684 16770 16800 16975 17200 17472 17654 17888 17920 18060 18200 18624 18818 18915 19200 19264 19400 19500 19565 19968 20176 20370 20640 20800 20855 21000 21500 21504 21728 21840 22016 22360 22400 22575 22750 23280 23296 23478 24000 24080 24250 24832 24960 25026 25220 25600 25800 26000 26481 26832 26880 27160 27300 27520 27950 28000 28227 28896 29100 29120 29197 30100 30264 31040 31200 31304 31525 32000 32250 32592 33024 33280 33368 33540 33600 33950 34125 34400 34944 35308 35776 35840 36120 36375 36400 37248 37625 37636 37830 38400 38528 38800 39000 39130 39936 40352 40740 41280 41600 41710 41925 42000 43000 43456 43680 44032 44135 44720 44800 45150 45500 46560 46592 46956 47045 48000 48160 48500 49664 49920 50052 50440 50925 51600 52000 52962 53664 53760 54223 54320 54600 55040 55900 56000 56454 57792 58200 58240 58394 58695 60200 60528 62080 62400 62565 62608 63050 64000 64500 65184 65863 66048 66560 66736 67080 67200 67900 68250 68800 69875 69888 70616 71552 72240 72750 72800 74496 75250 75272 75660 76800 77056 77600 78000 78260 80704 81480 82560 83200 83420 83850 84000 84875 86000 86912 87360 87591 88270 89440 89600 90300 91000 93120 93184 93912 94090 94575 96000 96320 97000 97825 99328 99840 100104 100880 101850 103200 104000 104275 105924 107328 107520 108446 108640 109200 110080 111800 112000 112875 112908 115584 116400 116480 116788 117390 120400 121056 122317 124160 124800 125130 125216 126100 128000 129000 130368 131726 132096 132405 133472 134160 134400 135800 136500 137600 139750 139776 141135 141232 143104 144480 145500 145600 145985 148992 150500 150544 151320 154112 155200 156000 156520 157625 161408 162669 162960 165120 166400 166840 167700 168000 169750 172000 173824 174720 175182 176540 178880 179200 180600 182000 186240 187824 188180 189150 192000 192640 194000 195650 197589 199680 200208 201760 203700 206400 208000 208550 209625 211848 214656 216892 217280 218400 220160 220675 223600 224000 225750 225816 231168 232800 232960 233576 234780 235225 240800 242112 244634 248320 249600 250260 250432 252200 254625 258000 260736 263452 264810 266944 268320 268800 271115 271600 273000 275200 279500 279552 282270 282464 286208 288960 291000 291200 291970 293475 297984 301000 301088 302640 308224 310400 312000 312825 313040 315250 322816 325338 325920 329315 330240 332800 333680 335400 336000 339500 344000 347648 349440 350364 353080 357760 361200 364000 366951 372480 375648 376360 378300 379561 384000 385280 388000 391300 395178 400416 403520 404587 407400 412800 416000 417100 419250 423696 429312 433784 434560 436800 437955 441350 447200 448000 451500 451632 462336 465600 465920 467152 469560 470450 472875 481600 484224 489125 489268 496640 499200 500520 500864 504400 509250 516000 521375 521472 526904 529620 533888 536640 537600 542230 543200 546000 550400 559000 564540 564928 572416 577920 582000 582400 583940 586950 602000 602176 605280 611585 620800 624000 625650 626080 630500 645632 650676 651840 658630 660480 662025 667360 670800 672000 679000 688000 695296 698880 700728 705675 706160 715520 722400 728000 729925 733902 744960 751296 752720 756600 759122 770560 776000 782600 790356 800832 807040 809174 813345 814800 825600 832000 834200 838500 847392 856219 858624 867568 869120 873600 875910 882700 894400 896000 903000 903264 924672 931200 934304 939120 940900 945750 963200 968448 978250 978536 987945 998400 1001040 1001728 1008800 1018500 1032000 1042750 1042944 1053808 1059240 1067776 1073280 1084460 1086400 1092000 1100800 1103375 1118000 1129080 1129856 1138683 1155840 1164000 1164800 1167880 1173900 1176125 1204000 1204352 1210560 1213761 1223170 1241600 1248000 1251300 1252160 1261000 1291264 1301352 1303680 1317260 1324050 1334720 1341600 1344000 1355575 1358000 1376000 1397760 1401456 1411350 1412320 1431040 1444800 1456000 1459850 1467375 1467804 1489920 1502592 1505440 1513200 1518244 1541120 1552000 1564125 1565200 1580712 1601664 1614080 1618348 1626690 1629600 1646575 1651200 1664000 1668400 1677000 1694784 1712438 1717248 1735136 1738240 1747200 1751820 1765400 1788800 1806000 1806528 1834755 1862400 1868608 1878240 1881800 1891500 1897805 1926400 1936896 1956500 1957072 1975890 2002080 2003456 2017600 2022935 2037000 2064000 2085500 2085888 2107616 2118480 2135552 2146560 2168920 2172800 2184000 2189775 2206750 2236000 2258160 2259712 2277366 2311680 2328000 2329600 2335760 2347800 2352250 2408000 2408704 2421120 2427522 2446340 2483200 2496000 2502600 2504320 2522000 2568657 2602704 2607360 2634520 2648100 2669440 2683200 2688000 2711150 2716000 2752000 2802912 2822700 2824640 2832109 2862080 2889600 2912000 2919700 2934750 2935608 3005184 3010880 3026400 3036488 3057925 3104000 3128250 3130400 3161424 3203328 3228160 3236696 3253380 3259200 3293150 3302400 3310125 3336800 3354000 3389568 3424876 3470272 3476480 3494400 3503640 3528375 3530800 3577600 3612000 3613056 3649625 3669510 3724800 3737216 3756480 3763600 3783000 3795610 3852800 3873792 3913000 3914144 3951780 4004160 4006912 4035200 4045870 4066725 4074000 4128000 4171000 4215232 4236960 4271104 4281095 4293120 4337840 4345600 4368000 4379550 4413500 4472000 4516320 4519424 4554732 4623360 4656000 4671520 4695600 4704500 4816000 4817408 4842240 4855044 4892680 4939725 4992000 5005200 5008640 5044000 5137314 5205408 5214720 5259631 5269040 5296200 5338880 5366400 5422300 5432000 5504000 5605824 5645400 5649280 5664218 5693415 5779200 5824000 5839400 5869500 5871216 6010368 6021760 6052800 6068805 6072976 6115850 6208000 6256500 6260800 6322848 6406656 6456320 6473392 6506760 6518400 6586300 6620250 6673600 6708000 6777875 6779136 6849752 6940544 6988800 7007280 7056750 7061600 7155200 7224000 7226112 7299250 7339020 7449600 7474432 7512960 7527200 7566000 7591220 7705600 7826000 7828288 7903560 8008320 8070400 8091740 8133450 8148000 8232875 8256000 8342000 8430464 8473920 8496327 8562190 8586240 8675680 8691200 8736000 8759100 8827000 8944000 9032640 9038848 9109464 9173775 9312000 9343040 9391200 9409000 9489025 9632000 9634816 9684480 9710088 9785360 9879450 10010400 10017280 10088000 10114675 10274628 10410816 10429440 10519262 10538080 10592400 10677760 10732800 10844600 10864000 10948875 11211648 11290800 11298560 11328436 11386830 11558400 11648000 11678800 11739000 11742432 12020736 12043520 12105600 12137610 12145952 12231700 12416000 12513000 12521600 12645696 12813312 12843285 12946784 13013520 13036800 13172600 13240500 13347200 13416000 13555750 13558272 13699504 13881088 14014560 14113500 14123200 14160545 14310400 14448000 14452224 14598500 14678040 14948864 15025920 15054400 15132000 15182440 15289625 15652000 15656576 15778893 15807120 16016640 16140800 16183480 16266900 16296000 16465750 16512000 16684000 16860928 16947840 16992654 17124380 17351360 17382400 17472000 17518200 17654000 17888000 18065280 18218928 18347550 18624000 18686080 18782400 18818000 18978050 19264000 19368960 19420176 19570720 19758900 20020800 20034560 20176000 20229350 20333625 20549256 20821632 21038524 21076160 21184800 21355520 21405475 21465600 21689200 21728000 21897750 22423296 22581600 22597120 22656872 22773660 23116800 23357600 23478000 23484864 24087040 24211200 24275220 24291904 24463400 24698625 25026000 25043200 25291392 25686570 25893568 26027040 26073600 26298155 26345200 26481000 26694400 26832000 27111500 27116544 27399008 27762176 28029120 28227000 28246400 28321090 28467075 28896000 28904448 29197000 29356080 29897728 30051840 30108800 30264000 30344025 30364880 30579250 31304000 31313152 31557786 31614240 32033280 32281600 32366960 32533800 32592000 32931500 33368000 33721856 33895680 33985308 34248760 34702720 34944000 35036400 35308000 35776000 36130560 36437856 36695100 36817417 37248000 37372160 37564800 37636000 37956100 38528000 38840352 39141440 39517800 40041600 40352000 40458700 40667250 41098512 41643264 42077048 42152320 42369600 42481635 42810950 42931200 43378400 43456000 43795500 44846592 45163200 45194240 45313744 45547320 45868875 46715200 46956000 46969728 47445125 48174080 48422400 48550440 48583808 48926800 49397250 50052000 50086400 50573375 50582784 51373140 51787136 52054080 52147200 52596310 52690400 52962000 53388800 53664000 54223000 54798016 55524352 56058240 56454000 56492800 56642180 56934150 57792000 58394000 58712160 60103680 60217600 60528000 60688050 60729760 61158500 62608000 62626304 63115572 63228480 64066560 64216425 64733920 65067600 65184000 65863000 66736000 67443712 67791360 67970616 68497520 69405440 70072800 70616000 70802725 71552000 72261120 72875712 73390200 73634834 74744320 75129600 75272000 75912200 77680704 78282880 78894465 79035600 80083200 80704000 80917400 81334500 82197024 83286528 84154096 84304640 84739200 84963270 85621900 86756800 86912000 87591000 89693184 90326400 90627488 91094640 91737750 93430400 93912000 93939456 94890250 96844800 97100880 97167616 97853600 98794500 100104000 100172800 101146750 101165568 102746280 103574272 104108160 105192620 105380800 105924000 106777600 107027375 107328000 108446000 109596032 110452251 112116480 112908000 112985600 113284360 113868300 115584000 116788000 117424320 120435200 121056000 121376100 121459520 122317000 125216000 125252608 126231144 126456960 128432850 129467840 130135200 130368000 131490775 131726000 133472000 135582720 135941232 136995040 138810880 140145600 141232000 141605450 142335375 144522240 145751424 146780400 147269668 149488640 150259200 150544000 151720125 151824400 155361408 156565760 157788930 158071200 160166400 161408000 161834800 162669000 164394048 166573056 168308192 168609280 169478400 169926540 171243800 173513600 175182000 180652800 181254976 182189280 183475500 184087085 186860800 187824000 187878912 189780500 194201760 194335232 195707200 197589000 200208000 202293500 202331136 205492560 207148544 208216320 210385240 210761600 211848000 212408175 214054750 214656000 216892000 219192064 220904502 224232960 225816000 225971200 226568720 227736600 233576000 234848640 240870400 242112000 242752200 242919040 244634000 250432000 252462288 252913920 256865700 258935680 260270400 260736000 262981550 263452000 266944000 271882464 273990080 277621760 280291200 282464000 283210900 284670750 291502848 293560800 294539336 300518400 301088000 303440250 303648800 310722816 313131520 315577860 316142400 320332800 321082125 323669600 325338000 328788096 336616384 337218560 338956800 339853080 342487600 347027200 350364000 354013625 361305600 362509952 364378560 366951000 368174170 373721600 375648000 375757824 379561000 388403520 388670464 391414400 394472325 395178000 400416000 404587000 410985120 414297088 416432640 420770480 421523200 423696000 424816350 428109500 433784000 438384128 441809004 448465920 451632000 453137440 455473200 467152000 469697280 484224000 485504400 485838080 489268000 500864000 504924576 505827840 513731400 517871360 520540800 525963100 526904000 533888000 543764928 547980160 552261255 560582400 564928000 566421800 569341500 583005696 587121600 589078672 602176000 606880500 607297600 621445632 626263040 631155720 632284800 642164250 647339200 650676000 657453875 657576192 673232768 677913600 679706160 684975200 694054400 700728000 708027250 722611200 725019904 728757120 733902000 736348340 747443200 751296000 759122000 776807040 782828800 788944650 790356000 800832000 809174000 821970240 832865280 841540960 843046400 847392000 849632700 856219000 867568000 876768256 883618008 903264000 906274880 910946400 920435425 934304000 939394560 971008800 971676160 978536000 1009849152 1011655680 1027462800 1035742720 1041081600 1051926200 1053808000 1062040875 1087529856 1095960320 1104522510 1121164800 1129856000 1132843600 1138683000 1166011392 1174243200 1178157344 1204352000 1213761000 1214595200 1242891264 1262311440 1264569600 1284328500 1294678400 1301352000 1314907750 1315152384 1346465536 1359412320 1369950400 1388108800 1401456000 1416054500 1450039808 1457514240 1467804000 1472696680 1502592000 1518244000 1553614080 1565657600 1577889300 1580712000 1601664000 1618348000 1643940480 1683081920 1686092800 1694784000 1699265400 1712438000 1735136000 1767236016 1806528000 1812549760 1821892800 1840870850 1868608000 1878789120 1942017600 1943352320 1957072000 1972361625 2019698304 2054925600 2071485440 2082163200 2103852400 2107616000 2124081750 2175059712 2191920640 2209045020 2242329600 2265687200 2277366000 2348486400 2356314688 2427522000 2429190400 2524622880 2529139200 2568657000 2589356800 2602704000 2629815500 2630304768 2692931072 2718824640 2739900800 2761306275 2802912000 2832109000 2900079616 2915028480 2935608000 2945393360 3036488000 3107228160 3131315200 3155778600 3161424000 3236696000 3287880960 3366163840 3389568000 3398530800 3424876000 3470272000 3534472032 3613056000 3625099520 3643785600 3681741700 3737216000 3884035200 3914144000 3944723250 4039396608 4109851200 4164326400 4207704800 4215232000 4248163500 4350119424 4383841280 4418090040 4531374400 4554732000 4602177125 4696972800 4712629376 4855044000 4858380800 5049245760 5058278400 5137314000 5178713600 5205408000 5259631000 5385862144 5437649280 5479801600 5522612550 5605824000 5664218000 5830056960 5871216000 5890786720 6072976000 6214456320 6311557200 6322848000 6473392000 6575761920 6732327680 6797061600 6849752000 6940544000 7068944064 7250199040 7287571200 7363483400 7768070400 7828288000 7889446500 8078793216 8219702400 8415409600 8430464000 8496327000 8700238848 8836180080 9062748800 9109464000 9204354250 9393945600 9425258752 9710088000 9716761600 10098491520 10274628000 10357427200 10410816000 10519262000 10875298560 10959603200 11045225100 11211648000 11328436000 11742432000 11781573440 12145952000 12623114400 12645696000 12946784000 13151523840 13464655360 13594123200 13699504000 13806531375 14137888128 14500398080 14575142400 14726966800 15536140800 15656576000 15778893000 16157586432 16439404800 16830819200 16992654000 17672360160 18125497600 18218928000 18408708500 18850517504 19420176000 20196983040 20549256000 20821632000 21038524000 21750597120 21919206400 22090450200 22656872000 23484864000 23563146880 24291904000 25246228800 25291392000 25893568000 26929310720 27188246400 27399008000 27613062750 28275776256 29150284800 29453933600 31072281600 31557786000 32878809600 33661638400 33985308000 35344720320 36250995200 36437856000 36817417000 37701035008 38840352000 40393966080 41098512000 42077048000 43501194240 44180900400 45313744000 46969728000 47126293760 48583808000 50492457600 51787136000 54376492800 54798016000 55226125500 56551552512 58907867200 63115572000 65757619200 67323276800 67970616000 70689440640 72501990400 72875712000 73634834000 77680704000 80787932160 82197024000 84154096000 88361800800 90627488000 94252587520 100984915200 108752985600 109596032000 110452251000 113103105024 117815734400 126231144000 134646553600 135941232000 141378881280 145751424000 147269668000 155361408000 164394048000 168308192000 176723601600 181254976000 188505175040 201969830400 217505971200 220904502000 235631468800 252462288000 271882464000 282757762560 294539336000 328788096000 336616384000 353447203200 362509952000 403939660800 441809004000 471262937600 504924576000 543764928000 565515525120 589078672000 673232768000 706894406400 883618008000 942525875200 1009849152000 1087529856000 1178157344000 1413788812800 1767236016000 2019698304000 2356314688000 2827577625600 3534472032000 4712629376000 7068944064000 14137888128000
- Sum of all divisors σ(n): 59843450354688
- Sum of proper divisors (its aliquot sum) s(n): 45705562226688
- 14137888128000 is an abundant number, because the sum of its proper divisors (45705562226688) is greater than itself. Its abundance is 31567674098688
Bases of 14137888128000
- Binary: 110011011011101110111100110010111100000000002
- Hexadecimal: 0xCDBBBCCBC00
- Base-36: 50EUTK8AO
Squares and roots of 14137888128000
- 14137888128000 squared (141378881280002) is 199879880719843344384000000
- 14137888128000 cubed (141378881280003) is 2825879392655129312586369073152000000000
-
The
square root of 14137888128000 is 3760038.3146984021 -
The
cube root of 14137888128000 is 24180.2904702871
Scales and comparisons
How big is 14137888128000?- 14,137,888,128,000 seconds is equal to 449,541 years, 5 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 14,137,888,128,000 would take you about one million, one hundred twenty-three thousand, eight 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 14137888128000 cubic inches would be around 2015 feet tall.
Recreational maths with 14137888128000
- 14137888128000 backwards is 00082188873141
- The number of decimal digits it has is: 14
- The sum of 14137888128000's digits is 51
- 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 14137888128000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 14137888128000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/14137888128000/
Chicago style:
Numbermatics. 2024. "Number 14137888128000 - Facts about the integer". https://numbermatics.com/n/14137888128000/
The information we have on file for 14137888128000 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 14137888128000, math, Factors of 14137888128000, curriculum, school, college, exams, university, Prime factorization of 14137888128000, STEM, science, technology, engineering, physics, economics, calculator, fourteen trillion, one hundred thirty-seven billion, eight hundred eighty-eight million, one hundred twenty-eight thousand.