1340319968000
1,340,319,968,000 is an even composite number composed of six prime numbers multiplied together.
1340319968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 1340319968000:
28 × 53 × 13 × 31 × 37 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 31 × 37 × 53 × 53)See below for interesting mathematical facts about the number 1340319968000 from the Numbermatics database.
Names of 1340319968000
- Cardinal: 1340319968000 can be written as One trillion, three hundred forty billion, three hundred nineteen million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.340319968 × 1012
Factors of 1340319968000
Divisors of 1340319968000
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 37 40 50 52 53 62 64 65 74 80 100 104 106 124 125 128 130 148 155 160 185 200 208 212 248 250 256 260 265 296 310 320 325 370 400 403 416 424 481 496 500 520 530 592 620 640 650 689 740 775 800 806 832 848 925 962 992 1000 1040 1060 1147 1184 1240 1280 1300 1325 1378 1480 1550 1600 1612 1625 1643 1664 1696 1850 1924 1961 1984 2000 2015 2080 2120 2294 2368 2405 2480 2600 2650 2756 2809 2960 3100 3200 3224 3250 3286 3328 3392 3445 3700 3848 3875 3922 3968 4000 4030 4160 4240 4588 4625 4736 4810 4960 5200 5300 5512 5618 5735 5920 6200 6400 6448 6500 6572 6625 6784 6890 7400 7696 7750 7844 7936 8000 8060 8215 8320 8480 9176 9250 9472 9620 9805 9920 10075 10400 10600 11024 11236 11470 11840 12025 12400 12896 13000 13144 13250 13568 13780 14045 14800 14911 15392 15500 15688 16000 16120 16430 16640 16960 17225 18352 18500 19240 19610 19840 20150 20800 21200 21359 22048 22472 22940 23680 24050 24800 25493 25792 26000 26288 26500 27560 28090 28675 29600 29822 30784 31000 31376 32000 32240 32860 33920 34450 36517 36704 37000 38480 39220 39680 40300 41075 41600 42400 42718 44096 44944 45880 47360 48100 49025 49600 50375 50986 51584 52000 52576 53000 55120 56180 57350 59200 59644 60125 60791 61568 62000 62752 64480 65720 67840 68900 70225 73034 73408 74000 74555 76960 78440 80600 82150 83200 84800 85436 86125 87079 88192 89888 91760 96200 98050 99200 100750 101972 103168 103933 104000 105152 106000 106795 110240 112360 114700 118400 119288 120250 121582 123136 124000 125504 127465 128960 131440 137800 140450 143375 146068 146816 148000 149110 153920 156880 161200 164300 169600 170872 172250 174158 176384 179776 182585 183520 192400 196100 198400 201500 203944 205375 207866 208000 210304 212000 213590 220480 224720 229400 236800 238576 240500 243164 245125 248000 251008 254930 257920 262880 275600 280900 286750 292136 293632 296000 298220 303955 307840 313760 322400 328600 339200 341744 344500 348316 351125 359552 365170 367040 372775 384800 392200 403000 407888 410750 415732 416000 420608 424000 427180 435395 440960 449440 458800 477152 481000 486328 490250 496000 502016 509860 515840 519665 525760 533975 551200 561800 573500 584272 592000 596440 607910 615680 627520 637325 644800 657200 683488 689000 696632 702250 719104 730340 734080 745550 769600 784400 790283 806000 815776 821500 831464 848000 854360 870790 881920 898880 912925 917600 954304 962000 972656 980500 992000 1019720 1039330 1051520 1067950 1102400 1123600 1132027 1147000 1168544 1184000 1192880 1215820 1255040 1274650 1289600 1314400 1351129 1366976 1378000 1393264 1404500 1460680 1468160 1491100 1519775 1539200 1568800 1580566 1612000 1631552 1643000 1662928 1696000 1708720 1741580 1797760 1825850 1835200 1863875 1908608 1924000 1945312 1961000 2039440 2078660 2103040 2135900 2176975 2204800 2247200 2264054 2294000 2337088 2385760 2431640 2510080 2549300 2579200 2598325 2628800 2669875 2702258 2733952 2756000 2786528 2809000 2921360 2982200 3039550 3078400 3137600 3161132 3186625 3221923 3224000 3263104 3286000 3325856 3417440 3483160 3595520 3651700 3670400 3727750 3817216 3848000 3890624 3922000 3951415 4078880 4157320 4271800 4353950 4409600 4494400 4528108 4564625 4588000 4674176 4771520 4863280 5098600 5196650 5257600 5339750 5404516 5467904 5512000 5573056 5618000 5660135 5842720 5964400 6079100 6275200 6322264 6373250 6443846 6448000 6526208 6572000 6651712 6755645 6834880 6966320 7303400 7340800 7455500 7598875 7696000 7781248 7844000 7902830 8157760 8314640 8543600 8707900 8988800 9056216 9129250 9176000 9348352 9543040 9726560 10197200 10393300 10515200 10679500 10809032 10884875 11024000 11146112 11236000 11320270 11685440 11928800 12158200 12550400 12644528 12746500 12887692 12896000 12991625 13144000 13303424 13511290 13669760 13932640 14606800 14911000 15197750 15392000 15562496 15688000 15805660 16109615 16315520 16629280 17087200 17415800 17977600 18112432 18258500 18352000 19086080 19453120 19757075 20394400 20786600 21359000 21618064 21769750 22048000 22292224 22472000 22640540 23370880 23857600 24316400 25289056 25493000 25775384 25983250 26288000 26606848 27022580 27339520 27865280 28300675 29213600 29822000 30395500 31376000 31611320 32219230 32631040 33258560 33778225 34174400 34831600 36224864 36517000 36704000 38906240 39514150 40788800 41573200 41884999 42718000 43236128 43539500 44944000 45281080 46741760 47715200 48632800 50578112 50986000 51550768 51966500 52576000 54045160 55730560 56601350 58427200 59644000 60791000 62752000 63222640 64438460 66517120 67556450 68348800 69663200 72449728 73034000 77812480 79028300 80548075 81577600 83146400 83769998 85436000 86472256 87079000 89888000 90562160 95430400 97265600 98785375 101156224 101972000 103101536 103933000 108090320 111461120 113202700 116854400 119288000 121582000 126445280 128876920 133034240 135112900 136697600 139326400 141503375 144899456 146068000 158056600 161096150 163155200 166292800 167539996 168891125 170872000 172944512 174158000 181124320 194531200 197570750 202312448 203944000 206203072 207866000 209424995 216180640 226405400 233708800 238576000 243164000 252890560 257753840 270225800 278652800 283006750 289798912 292136000 316113200 322192300 332585600 335079992 337782250 341744000 345889024 348316000 362248640 389062400 395141500 402740375 407888000 412406144 415732000 418849990 432361280 452810800 477152000 486328000 505781120 515507680 540451600 557305600 566013500 584272000 632226400 644384600 665171200 670159984 675564500 683488000 696632000 724497280 790283000 805480750 815776000 824812288 831464000 837699980 864722560 905621600 972656000 1011562240 1031015360 1047124975 1080903200 1132027000 1168544000 1264452800 1288769200 1340319968 1351129000 1393264000 1448994560 1580566000 1610961500 1662928000 1675399960 1729445120 1811243200 1945312000 2062030720 2094249950 2161806400 2264054000 2528905600 2577538400 2680639936 2702258000 2786528000 3161132000 3221923000 3325856000 3350799920 3622486400 4124061440 4188499900 4323612800 4528108000 5057811200 5155076800 5235624875 5361279872 5404516000 6322264000 6443846000 6701599840 7244972800 8376999800 8647225600 9056216000 10310153600 10471249750 10722559744 10809032000 12644528000 12887692000 13403199680 16753999600 18112432000 20620307200 20942499500 21618064000 25289056000 25775384000 26806399360 33507999200 36224864000 41884999000 43236128000 51550768000 53612798720 67015998400 83769998000 103101536000 134031996800 167539996000 268063993600 335079992000 670159984000 1340319968000
- Sum of all divisors σ(n): 3885334881792
- Sum of proper divisors (its aliquot sum) s(n): 2545014913792
- 1340319968000 is an abundant number, because the sum of its proper divisors (2545014913792) is greater than itself. Its abundance is 1204694945792
Bases of 1340319968000
- Binary: 100111000000100010100101110101011000000002
- Hexadecimal: 0x138114BAB00
- Base-36: H3QFWI68
Squares and roots of 1340319968000
- 1340319968000 squared (13403199680002) is 1796457616619521024000000
- 1340319968000 cubed (13403199680003) is 2407828015220832687063007232000000000
-
The
square root of 1340319968000 is 1157721.8871559785 -
The
cube root of 1340319968000 is 11025.6151479653
Scales and comparisons
How big is 1340319968000?- 1,340,319,968,000 seconds is equal to 42,618 years, 1 week, 3 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 1,340,319,968,000 would take you about one hundred six thousand, five hundred forty-five 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 1340319968000 cubic inches would be around 918.8 feet tall.
Recreational maths with 1340319968000
- 1340319968000 backwards is 0008699130431
- The number of decimal digits it has is: 13
- The sum of 1340319968000's digits is 44
- More coming soon!
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