1328249664000
1,328,249,664,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 1328249664000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2240 divisors.
1328249664000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 1328249664000:
29 × 36 × 53 × 73 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 83)See below for interesting mathematical facts about the number 1328249664000 from the Numbermatics database.
Names of 1328249664000
- Cardinal: 1328249664000 can be written as One trillion, three hundred twenty-eight billion, two hundred forty-nine million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.328249664 × 1012
Factors of 1328249664000
Divisors of 1328249664000
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 83 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 162 166 168 175 180 189 192 196 200 210 216 224 225 240 243 245 249 250 252 256 270 280 288 294 300 315 320 324 332 336 343 350 360 375 378 384 392 400 405 415 420 432 441 448 450 480 486 490 498 500 504 512 525 540 560 567 576 581 588 600 630 640 648 664 672 675 686 700 720 729 735 747 750 756 768 784 800 810 830 840 864 875 882 896 900 945 960 972 980 996 1000 1008 1029 1050 1080 1120 1125 1134 1152 1162 1176 1200 1215 1225 1245 1260 1280 1296 1323 1328 1344 1350 1372 1400 1440 1458 1470 1494 1500 1512 1536 1568 1575 1600 1620 1660 1680 1701 1715 1728 1743 1750 1764 1792 1800 1890 1920 1944 1960 1992 2000 2016 2025 2058 2075 2100 2160 2205 2240 2241 2250 2268 2304 2324 2352 2400 2430 2450 2490 2520 2560 2592 2625 2646 2656 2688 2700 2744 2800 2835 2880 2905 2916 2940 2988 3000 3024 3087 3136 3150 3200 3240 3320 3360 3375 3402 3430 3456 3486 3500 3528 3584 3600 3645 3675 3735 3780 3840 3888 3920 3969 3984 4000 4032 4050 4067 4116 4150 4200 4320 4410 4480 4482 4500 4536 4608 4648 4704 4725 4800 4860 4900 4980 5040 5103 5145 5184 5229 5250 5292 5312 5376 5400 5488 5600 5670 5760 5810 5832 5880 5976 6000 6048 6075 6125 6174 6225 6272 6300 6400 6480 6615 6640 6720 6723 6750 6804 6860 6912 6972 7000 7056 7200 7290 7350 7470 7560 7680 7776 7840 7875 7938 7968 8000 8064 8100 8134 8232 8300 8400 8505 8575 8640 8715 8820 8960 8964 9000 9072 9261 9296 9408 9450 9600 9720 9800 9960 10080 10125 10206 10290 10368 10375 10458 10500 10584 10624 10752 10800 10976 11025 11200 11205 11340 11520 11620 11664 11760 11907 11952 12000 12096 12150 12201 12250 12348 12450 12544 12600 12800 12960 13230 13280 13440 13446 13500 13608 13720 13824 13944 14000 14112 14175 14400 14525 14580 14700 14940 15120 15435 15552 15680 15687 15750 15876 15936 16000 16128 16200 16268 16464 16600 16800 17010 17150 17280 17430 17640 17920 17928 18000 18144 18225 18375 18522 18592 18675 18816 18900 19200 19440 19600 19845 19920 20160 20169 20250 20335 20412 20580 20736 20750 20916 21000 21168 21248 21600 21952 22050 22400 22410 22680 23040 23240 23328 23520 23625 23814 23904 24000 24192 24300 24402 24500 24696 24900 25088 25200 25515 25725 25920 26145 26460 26560 26880 26892 27000 27216 27440 27783 27888 28000 28224 28350 28469 28800 29050 29160 29400 29880 30240 30375 30870 31104 31125 31360 31374 31500 31752 31872 32000 32256 32400 32536 32928 33075 33200 33600 33615 34020 34300 34560 34860 35280 35721 35856 36000 36288 36450 36603 36750 37044 37184 37350 37632 37800 38400 38880 39200 39690 39840 40320 40338 40500 40670 40824 41160 41472 41500 41832 42000 42336 42496 42525 42875 43200 43575 43904 44100 44800 44820 45360 46305 46480 46656 47040 47061 47250 47628 47808 48000 48384 48600 48804 49000 49392 49800 50400 51030 51450 51840 52290 52920 53120 53760 53784 54000 54432 54880 55125 55566 55776 56000 56025 56448 56700 56938 57600 58100 58320 58800 59535 59760 60480 60507 60750 61005 61740 62208 62250 62720 62748 63000 63504 63744 64000 64800 65072 65856 66150 66400 67200 67230 68040 68600 69120 69720 70560 70875 71442 71712 72000 72576 72625 72900 73206 73500 74088 74368 74700 75264 75600 77175 77760 78400 78435 79380 79680 80640 80676 81000 81340 81648 82320 83000 83349 83664 84000 84672 85050 85407 85750 86400 87150 87808 88200 89600 89640 90720 91125 92610 92960 93312 93375 94080 94122 94500 95256 95616 96000 96768 97200 97608 98000 98784 99225 99600 100800 100845 101675 102060 102900 103680 104580 105840 106240 107568 108000 108864 109760 109809 110250 111132 111552 112000 112050 112896 113400 113876 115200 116200 116640 117600 119070 119520 120960 121014 121500 122010 123480 124416 124500 125440 125496 126000 127008 127488 127575 128625 129600 130144 130725 131712 132300 132800 134400 134460 136080 137200 138915 139440 141120 141183 141750 142345 142884 143424 144000 145152 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23904000 24095232 24202800 24402000 24597216 24696000 24707025 25004700 25099200 25401600 25622100 25816320 26028800 26354160 26671680 26892000 27107136 27216000 27330240 27452250 27671868 27783000 27888000 28111104 28224000 28236600 28469000 28576800 28684800 29282400 29635200 29648430 30119040 30253500 30481920 30746520 30979584 31234560 31255875 31374000 31624992 31752000 32006016 32027625 32270400 32536000 32659200 32796288 32928000 32942700 33339600 33465600 33883920 34162800 34589835 35138880 35295750 35562240 35721000 35856000 36142848 36288000 36440320 36603000 36895824 37044000 37184000 37648800 38102400 38433150 38724480 39043200 39513600 39531240 40007520 40158720 40338000 40824000 40995360 41178375 41507802 41674500 41832000 42166656 42336000 42354900 42674688 42703500 43027200 43728384 43923600 44452800 45178560 45550400 45722880 46119780 46656000 46851840 47061000 47437488 47628000 47808000 48405600 48804000 49194432 49392000 49414050 50009400 50198400 50803200 51244200 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118593720 120476160 121014000 122986080 123535125 125023500 125496000 126499968 127008000 128024064 128110500 129081600 130144000 131185152 131770800 133358400 135535680 136651200 138359340 140555520 141183000 142884000 143424000 146412000 147583296 148176000 148242150 150595200 152409600 153732600 154897920 156172800 158124960 160030080 161352000 163296000 163981440 164713500 166031208 166698000 167328000 168666624 169419600 170814000 172949175 175694400 177811200 180714240 182201600 184479120 188244000 189749952 190512000 192165750 193622400 195216000 196777728 197568000 197656200 200037600 200793600 204976800 207539010 210833280 211774500 213373440 215136000 216857088 218641920 219618000 221374944 222264000 225892800 227752000 228614400 230598900 234259200 237187440 242028000 245972160 247070250 250047000 250992000 252999936 254016000 256221000 258163200 260288000 263541600 266716800 271071360 273302400 276718680 281111040 282366000 285768000 288248625 292824000 295166592 296352000 296484300 301190400 307465200 316249920 320060160 322704000 326592000 327962880 329427000 332062416 333396000 334656000 338839200 341628000 345898350 351388800 355622400 361428480 364403200 368958240 370605375 376488000 379499904 381024000 384331500 387244800 390432000 393555456 395312400 400075200 409953600 415078020 421666560 423549000 430272000 439236000 442749888 444528000 451785600 455504000 457228800 461197800 468518400 474374880 484056000 491944320 494140500 500094000 501984000 505999872 512442000 518847525 527083200 533433600 542142720 546604800 553437360 564732000 571536000 576497250 585648000 590333184 592704000 592968600 602380800 614930400 632499840 640120320 645408000 655925760 658854000 664124832 666792000 677678400 683256000 691796700 702777600 737916480 741210750 752976000 758999808 762048000 768663000 774489600 780864000 790624800 800150400 819907200 830156040 843333120 847098000 864745875 878472000 885499776 889056000 903571200 911008000 922395600 948749760 968112000 983888640 988281000 1000188000 1003968000 1024884000 1037695050 1054166400 1066867200 1084285440 1093209600 1106874720 1129464000 1143072000 1152994500 1171296000 1180666368 1185937200 1229860800 1264999680 1290816000 1317708000 1328249664 1333584000 1355356800 1366512000 1383593400 1405555200 1475832960 1482421500 1505952000 1517999616 1537326000 1581249600 1600300800 1639814400 1660312080 1694196000 1729491750 1756944000 1770999552 1778112000 1807142400 1822016000 1844791200 1897499520 1936224000 1967777280 1976562000 2000376000 2049768000 2075390100 2108332800 2213749440 2258928000 2286144000 2305989000 2342592000 2371874400 2459721600 2529999360 2594237625 2635416000 2656499328 2667168000 2710713600 2733024000 2767186800 2951665920 2964843000 3011904000 3074652000 3162499200 3200601600 3279628800 3320624160 3388392000 3458983500 3513888000 3541999104 3689582400 3794999040 3872448000 3953124000 4000752000 4099536000 4150780200 4216665600 4427498880 4517856000 4611978000 4743748800 4919443200 5188475250 5270832000 5312998656 5334336000 5421427200 5466048000 5534373600 5903331840 5929686000 6149304000 6324998400 6641248320 6776784000 6917967000 7027776000 7379164800 7589998080 7906248000 8001504000 8199072000 8301560400 8854997760 9035712000 9223956000 9487497600 9838886400 10376950500 10541664000 10625997312 11068747200 11859372000 12298608000 12649996800 13282496640 13553568000 13835934000 14758329600 15812496000 16003008000 16398144000 16603120800 17709995520 18447912000 18974995200 20753901000 21083328000 22137494400 23718744000 24597216000 26564993280 27107136000 27671868000 29516659200 31624992000 33206241600 36895824000 37949990400 41507802000 44274988800 47437488000 49194432000 53129986560 55343736000 63249984000 66412483200 73791648000 83015604000 88549977600 94874976000 110687472000 132824966400 147583296000 166031208000 189749952000 221374944000 265649932800 332062416000 442749888000 664124832000 1328249664000
- Sum of all divisors σ(n): 5860837382400
- Sum of proper divisors (its aliquot sum) s(n): 4532587718400
- 1328249664000 is an abundant number, because the sum of its proper divisors (4532587718400) is greater than itself. Its abundance is 3204338054400
Bases of 1328249664000
- Binary: 100110101010000011101100101110010000000002
- Hexadecimal: 0x13541D97200
- Base-36: GY6TK000
Squares and roots of 1328249664000
- 1328249664000 squared (13282496640002) is 1764247169916112896000000
- 1328249664000 cubed (13282496640003) is 2343360710654027862298066944000000000
-
The
square root of 1328249664000 is 1152497.1427296469 -
The
cube root of 1328249664000 is 10992.4180920661
Scales and comparisons
How big is 1328249664000?- 1,328,249,664,000 seconds is equal to 42,234 years, 12 weeks.
-
To count from 1 to 1,328,249,664,000 would take you about one hundred five thousand, five hundred eighty-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 1328249664000 cubic inches would be around 916 feet tall.
Recreational maths with 1328249664000
- 1328249664000 backwards is 0004669428231
- 1328249664000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1328249664000's digits is 45
- More coming soon!
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The information we have on file for 1328249664000 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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