1314112128000
1,314,112,128,000 is an even composite number composed of seven prime numbers multiplied together.
1314112128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 1314112128000:
210 × 3 × 53 × 7 × 37 × 73 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 37 × 73 × 181)See below for interesting mathematical facts about the number 1314112128000 from the Numbermatics database.
Names of 1314112128000
- Cardinal: 1314112128000 can be written as One trillion, three hundred fourteen billion, one hundred twelve million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.314112128 × 1012
Factors of 1314112128000
Divisors of 1314112128000
- Number of divisors d(n): 1408
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 37 40 42 48 50 56 60 64 70 73 74 75 80 84 96 100 105 111 112 120 125 128 140 146 148 150 160 168 175 181 185 192 200 210 219 222 224 240 250 256 259 280 292 296 300 320 336 350 362 365 370 375 384 400 420 438 444 448 480 500 511 512 518 525 543 555 560 584 592 600 640 672 700 724 730 740 750 768 777 800 840 875 876 888 896 905 925 960 1000 1022 1024 1036 1050 1086 1095 1110 1120 1168 1184 1200 1267 1280 1295 1344 1400 1448 1460 1480 1500 1533 1536 1554 1600 1680 1750 1752 1776 1792 1810 1825 1850 1920 2000 2044 2072 2100 2172 2190 2220 2240 2336 2368 2400 2534 2555 2560 2590 2625 2688 2701 2715 2775 2800 2896 2920 2960 3000 3066 3072 3108 3200 3360 3500 3504 3552 3584 3620 3650 3700 3801 3840 3885 4000 4088 4144 4200 4344 4380 4440 4480 4525 4625 4672 4736 4800 5068 5110 5120 5180 5250 5376 5402 5430 5475 5550 5600 5792 5840 5920 6000 6132 6216 6335 6400 6475 6697 6720 7000 7008 7104 7168 7240 7300 7400 7602 7665 7680 7770 8000 8103 8176 8288 8400 8688 8760 8880 8960 9050 9125 9250 9344 9472 9600 10136 10220 10360 10500 10752 10804 10860 10950 11100 11200 11584 11680 11840 12000 12264 12432 12670 12775 12800 12950 13213 13394 13440 13505 13575 13875 14000 14016 14208 14480 14600 14800 15204 15330 15360 15540 16000 16206 16352 16576 16800 17376 17520 17760 17920 18100 18250 18500 18688 18907 18944 19005 19200 19425 20091 20272 20440 20720 21000 21504 21608 21720 21900 22200 22400 22625 23168 23360 23680 24000 24528 24864 25340 25550 25600 25900 26426 26788 26880 27010 27150 27375 27750 28000 28032 28416 28960 29200 29600 30408 30660 31080 31675 32000 32375 32412 32704 33152 33485 33600 34752 35040 35520 35840 36200 36500 37000 37376 37814 37888 38010 38325 38400 38850 39639 40182 40515 40544 40880 41440 42000 43216 43440 43800 44400 44800 45250 46336 46720 46879 47360 48000 49056 49728 50680 51100 51800 52852 53576 53760 54020 54300 54750 55500 56000 56064 56721 56832 57920 58400 59200 60816 61320 62160 63350 63875 64000 64750 64824 65408 66065 66304 66970 67200 67525 67875 69504 70080 71040 72400 73000 74000 74752 75628 76020 76650 76800 77700 79278 80364 81030 81088 81760 82880 84000 86432 86880 87600 88800 89600 90500 92491 92672 93440 93758 94535 94720 95025 96000 97125 98112 99456 100455 101360 102200 103600 105704 107152 107520 108040 108600 109500 111000 112000 112128 113442 113664 115840 116800 118400 121632 122640 124320 126700 127750 128000 129500 129648 130816 132130 132608 133940 134400 135050 135750 139008 140160 140637 142080 144800 146000 148000 151256 152040 153300 155400 158375 158556 160728 162060 162176 163520 165760 167425 168000 172864 173760 175200 177600 179200 181000 184982 185344 186880 187516 189070 189440 190050 191625 192000 194250 196224 198195 198912 200910 202575 202720 204400 207200 211408 214304 216080 217200 219000 222000 224000 224256 226884 231680 233600 234395 236800 243264 245280 248640 253400 255500 259000 259296 261632 264260 265216 267880 268800 270100 271500 277473 278016 280320 281274 283605 284160 289600 292000 296000 302512 304080 306600 310800 316750 317112 321456 324120 324352 327040 330325 331520 334850 336000 337625 345728 347520 350400 355200 362000 369964 373760 375032 378140 380100 383250 384000 388500 392448 396390 397824 401820 405150 405440 408800 414400 422816 428608 432160 434400 438000 444000 448000 453768 462455 463360 467200 468790 472675 473600 475125 486528 488881 490560 497280 502275 506800 511000 518000 518592 523264 528520 535760 537600 540200 543000 554946 556032 560640 562548 567210 568320 579200 584000 592000 605024 608160 613200 621600 633500 634224 642912 648240 648704 654080 660650 663040 669700 672000 675250 691456 695040 700800 703185 710400 724000 739928 750064 756280 760200 766500 777000 784896 792780 795648 803640 810300 810880 817600 828800 837125 845632 857216 864320 868800 876000 888000 896000 907536 924910 926720 934400 937580 945350 947200 950250 973056 977762 981120 990975 994560 1004550 1012875 1013600 1022000 1036000 1037184 1057040 1071520 1080400 1086000 1109892 1121280 1125096 1134420 1158400 1168000 1171975 1184000 1210048 1216320 1226400 1243200 1267000 1268448 1285824 1296480 1297408 1308160 1321300 1326080 1339400 1344000 1350500 1382912 1387365 1390080 1401600 1406370 1418025 1420800 1448000 1466643 1479856 1500128 1512560 1520400 1533000 1554000 1569792 1585560 1607280 1620600 1621760 1635200 1651625 1657600 1674250 1691264 1714432 1728640 1737600 1752000 1776000 1815072 1849820 1868800 1875160 1890700 1900500 1946112 1955524 1962240 1981950 1989120 2009100 2025750 2027200 2044000 2072000 2074368 2114080 2143040 2160800 2172000 2219784 2250192 2268840 2312275 2316800 2336000 2343950 2363375 2368000 2420096 2432640 2444405 2452800 2486400 2511375 2534000 2536896 2571648 2592960 2616320 2642600 2678800 2688000 2701000 2765824 2774730 2780160 2803200 2812740 2836050 2841600 2896000 2933286 2959712 3000256 3025120 3040800 3066000 3108000 3171120 3214560 3241200 3243520 3270400 3303250 3315200 3348500 3382528 3422167 3428864 3457280 3475200 3504000 3515925 3552000 3630144 3699640 3750320 3781400 3801000 3892224 3911048 3924480 3963900 3978240 4018200 4051500 4054400 4088000 4144000 4148736 4228160 4286080 4321600 4344000 4439568 4500384 4537680 4624550 4633600 4672000 4687900 4726750 4736000 4840192 4865280 4888810 4905600 4954875 4972800 5022750 5068000 5073792 5143296 5185920 5285200 5357600 5402000 5549460 5606400 5625480 5672100 5792000 5859875 5866572 5919424 6000512 6050240 6081600 6132000 6216000 6342240 6429120 6482400 6487040 6540800 6606500 6630400 6697000 6765056 6844334 6857728 6914560 6936825 6950400 7008000 7031850 7090125 7104000 7260288 7333215 7399280 7500640 7562800 7602000 7822096 7848960 7927800 8036400 8103000 8108800 8176000 8288000 8297472 8456320 8572160 8643200 8688000 8879136 9000768 9075360 9249100 9344000 9375800 9453500 9680384 9730560 9777620 9811200 9909750 9945600 10045500 10136000 10147584 10266501 10286592 10371840 10570400 10715200 10804000 11098920 11250960 11344200 11561375 11584000 11719750 11733144 11838848 12001024 12100480 12163200 12222025 12264000 12432000 12684480 12858240 12964800 13081600 13213000 13394000 13530112 13688668 13829120 13873650 13900800 14016000 14063700 14180250 14208000 14520576 14666430 14798560 15001280 15125600 15204000 15644192 15855600 16072800 16206000 16217600 16352000 16576000 16912640 17110835 17144320 17286400 17376000 17579625 17758272 18001536 18150720 18498200 18751600 18907000 19360768 19461120 19555240 19622400 19819500 19891200 20091000 20272000 20295168 20533002 20573184 20743680 21140800 21430400 21608000 22197840 22501920 22688400 23122750 23168000 23439500 23466288 23677696 24002048 24200960 24326400 24444050 24528000 24864000 25368960 25716480 25929600 26426000 26788000 27377336 27747300 28032000 28127400 28360500 29041152 29332860 29597120 30002560 30251200 30408000 31288384 31711200 32145600 32412000 32435200 32704000 33152000 33825280 34221670 34288640 34572800 34684125 34752000 35159250 35516544 36003072 36301440 36666075 36996400 37503200 37814000 39110480 39244800 39639000 40182000 40544000 40590336 41066004 41487360 42281600 42860800 43216000 44395680 45003840 45376800 46245500 46879000 46932576 47355392 48004096 48401920 48652800 48888100 49056000 49728000 50737920 51332505 51432960 51859200 52852000 53576000 54754672 55494600 56254800 56721000 58082304 58665720 59194240 60005120 60502400 60816000 61110125 62576768 63422400 64291200 64824000 65408000 67650560 68443340 69145600 69368250 69504000 70318500 71033088 72006144 72602880 73332150 73992800 75006400 75628000 78220960 79278000 80364000 81088000 82132008 84563200 85554175 85721600 86432000 88791360 90007680 90753600 92491000 93758000 93865152 94710784 96803840 97305600 97776200 98112000 99456000 101475840 102665010 102865920 103718400 105704000 107152000 109509344 110989200 112509600 113442000 117331440 118388480 120010240 121004800 121632000 122220250 125153536 126844800 128582400 129648000 136886680 138736500 140637000 142066176 144012288 145205760 146664300 147985600 150012800 151256000 156441920 158556000 160728000 162176000 164264016 169126400 171108350 171443200 172864000 177582720 180015360 181507200 183330375 184982000 187516000 187730304 195552400 196224000 202951680 205330020 207436800 211408000 214304000 219018688 221978400 225019200 226884000 234662880 236776960 240020480 242009600 243264000 244440500 250307072 253689600 256662525 257164800 259296000 273773360 277473000 281274000 284132352 290411520 293328600 295971200 300025600 302512000 312883840 317112000 321456000 328528032 338252800 342216700 345728000 355165440 360030720 363014400 366660750 369964000 375032000 375460608 391104800 410660040 422816000 427770875 428608000 438037376 443956800 450038400 453768000 469325760 473553920 484019200 486528000 488881000 500614144 507379200 513325050 514329600 518592000 547546720 554946000 562548000 586657200 591942400 600051200 605024000 625767680 634224000 642912000 657056064 684433400 710330880 720061440 726028800 733321500 739928000 750064000 750921216 782209600 821320080 845632000 855541750 857216000 876074752 887913600 900076800 907536000 938651520 977762000 1014758400 1026650100 1037184000 1095093440 1109892000 1125096000 1173314400 1183884800 1200102400 1210048000 1251535360 1268448000 1283312625 1285824000 1314112128 1368866800 1420661760 1452057600 1466643000 1479856000 1500128000 1501842432 1564419200 1642640160 1691264000 1711083500 1752149504 1775827200 1800153600 1815072000 1877303040 1955524000 2053300200 2190186880 2219784000 2250192000 2346628800 2367769600 2420096000 2503070720 2536896000 2566625250 2571648000 2628224256 2737733600 2933286000 2959712000 3000256000 3128838400 3285280320 3422167000 3504299008 3551654400 3600307200 3630144000 3754606080 3911048000 4106600400 4380373760 4439568000 4500384000 4693257600 5073792000 5133250500 5256448512 5475467200 5866572000 5919424000 6000512000 6257676800 6570560640 6844334000 7103308800 7260288000 7509212160 7822096000 8213200800 8760747520 8879136000 9000768000 9386515200 10266501000 10512897024 10950934400 11733144000 11838848000 12515353600 13141121280 13688668000 15644192000 16426401600 17521495040 17758272000 18001536000 18773030400 20533002000 21901868800 23466288000 26282242560 27377336000 31288384000 32852803200 35516544000 37546060800 41066004000 43803737600 46932576000 52564485120 54754672000 62576768000 65705606400 82132008000 87607475200 93865152000 109509344000 131411212800 164264016000 187730304000 219018688000 262822425600 328528032000 438037376000 657056064000 1314112128000
- Sum of all divisors σ(n): 5229728265216
- Sum of proper divisors (its aliquot sum) s(n): 3915616137216
- 1314112128000 is an abundant number, because the sum of its proper divisors (3915616137216) is greater than itself. Its abundance is 2601504009216
Bases of 1314112128000
- Binary: 100110001111101110010111111000100000000002
- Hexadecimal: 0x131F72FC400
- Base-36: GRP0FJEO
Squares and roots of 1314112128000
- 1314112128000 squared (13141121280002) is 1726890684956688384000000
- 1314112128000 cubed (13141121280003) is 2269327992831811360131121152000000000
-
The
square root of 1314112128000 is 1146347.2981605527 -
The
cube root of 1314112128000 is 10953.2787746025
Scales and comparisons
How big is 1314112128000?- 1,314,112,128,000 seconds is equal to 41,784 years, 36 weeks, 3 days, 2 hours, 40 minutes.
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To count from 1 to 1,314,112,128,000 would take you about one hundred four thousand, four hundred sixty-one 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 1314112128000 cubic inches would be around 912.8 feet tall.
Recreational maths with 1314112128000
- 1314112128000 backwards is 0008212114131
- 1314112128000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1314112128000's digits is 24
- More coming soon!
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The information we have on file for 1314112128000 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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