1331408080800
1,331,408,080,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1331408080800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
1331408080800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 1331408080800:
25 × 35 × 52 × 7 × 17 × 67 × 859
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 17 × 67 × 859)See below for interesting mathematical facts about the number 1331408080800 from the Numbermatics database.
Names of 1331408080800
- Cardinal: 1331408080800 can be written as One trillion, three hundred thirty-one billion, four hundred eight million, eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.3314080808 × 1012
Factors of 1331408080800
Divisors of 1331408080800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 50 51 54 56 60 63 67 68 70 72 75 80 81 84 85 90 96 100 102 105 108 112 119 120 126 134 135 136 140 144 150 153 160 162 168 170 175 180 189 200 201 204 210 216 224 225 238 240 243 252 255 268 270 272 280 288 300 306 315 324 335 336 340 350 357 360 378 400 402 405 408 420 425 432 450 459 469 476 480 486 504 510 525 536 540 544 560 567 595 600 603 612 630 648 670 672 675 680 700 714 720 756 765 800 804 810 816 840 850 859 864 900 918 938 945 952 972 1005 1008 1020 1050 1071 1072 1080 1120 1134 1139 1190 1200 1206 1215 1224 1260 1275 1296 1340 1350 1360 1377 1400 1407 1428 1440 1512 1530 1575 1608 1620 1632 1675 1680 1700 1701 1718 1785 1800 1809 1836 1876 1890 1904 1944 2010 2016 2025 2040 2100 2142 2144 2160 2268 2278 2295 2345 2380 2400 2412 2430 2448 2520 2550 2577 2592 2680 2700 2720 2754 2800 2814 2835 2856 2975 3015 3024 3060 3150 3213 3216 3240 3350 3360 3400 3402 3417 3436 3570 3600 3618 3672 3752 3780 3808 3825 3888 4020 4050 4080 4131 4200 4221 4284 4295 4320 4536 4556 4590 4690 4725 4760 4824 4860 4896 5025 5040 5100 5154 5355 5360 5400 5427 5508 5600 5628 5670 5695 5712 5950 6013 6030 6048 6075 6120 6300 6426 6432 6480 6700 6800 6804 6834 6872 6885 7035 7140 7200 7236 7344 7504 7560 7650 7731 7776 7973 8040 8100 8160 8262 8400 8442 8505 8568 8590 8925 9045 9072 9112 9180 9380 9450 9520 9639 9648 9720 10050 10080 10200 10251 10308 10710 10720 10800 10854 11016 11256 11340 11390 11424 11475 11725 11900 12026 12060 12150 12240 12600 12663 12852 12885 12960 13400 13600 13608 13668 13744 13770 14070 14175 14280 14472 14603 14688 15008 15075 15120 15300 15462 15946 16065 16080 16200 16281 16524 16800 16884 17010 17085 17136 17180 17850 18039 18090 18144 18224 18360 18760 18900 19040 19278 19296 19440 20100 20400 20502 20616 20655 21105 21420 21475 21600 21708 22032 22512 22680 22780 22950 23193 23450 23800 23919 24052 24120 24300 24480 25200 25326 25704 25770 26775 26800 27135 27216 27336 27488 27540 28140 28350 28475 28560 28917 28944 29206 30065 30150 30240 30600 30753 30924 31892 32130 32160 32400 32562 33048 33768 34020 34170 34272 34360 34425 35175 35700 36078 36180 36448 36720 37520 37800 37989 38556 38655 38880 39865 40200 40800 41004 41232 41310 42210 42525 42840 42950 43416 43809 44064 45024 45225 45360 45560 45900 46386 46900 47600 47838 48104 48195 48240 48600 50400 50652 51255 51408 51540 53550 53600 54117 54270 54432 54672 55080 56280 56700 56950 57120 57553 57834 57888 58412 60130 60300 61200 61506 61848 63315 63784 64260 64425 64800 65124 66096 67536 68040 68340 68720 68850 69579 70350 71400 71757 72156 72360 73015 73440 75040 75600 75978 77112 77310 79730 80325 80400 81405 82008 82464 82620 84420 85050 85425 85680 85900 86832 87618 90195 90450 90720 91120 91800 92259 92772 93800 95200 95676 96208 96390 96480 97200 101304 102221 102510 102816 103080 103275 105525 107100 108234 108540 109344 110160 112560 113400 113900 113967 115106 115668 115965 116824 119595 120260 120600 122400 123012 123696 126630 127568 128520 128850 130248 131427 132192 135072 135675 136080 136680 137440 137700 139158 140700 142800 143514 144312 144585 144720 146030 150325 151200 151956 153765 154224 154620 159460 160650 160800 162351 162810 164016 165240 168840 170100 170850 171360 171800 172659 173664 175236 180390 180900 182240 183600 184518 185544 187600 189945 191352 192416 192780 193275 194400 199325 202608 204442 205020 206160 206550 208737 211050 214200 215271 216468 217080 219045 220320 225120 226800 227800 227934 230212 231336 231930 233648 239190 240520 240975 241200 246024 247392 253260 255136 256275 257040 257700 260496 262854 270585 271350 272160 273360 275400 276777 278316 281400 285600 287028 287765 288624 289170 289440 292060 300650 303912 306663 307530 308448 309240 316575 318920 321300 324702 325620 328032 330480 337680 340200 341700 343600 345318 347895 350472 358785 360780 361800 365075 367200 369036 371088 375200 379890 382704 385560 386550 394281 398650 402871 405216 407025 408884 410040 412320 413100 417474 422100 428400 430542 432936 434160 438090 450975 453600 455600 455868 460424 461295 462672 463860 467296 478380 481040 481950 482400 487053 492048 506520 511105 512550 514080 515400 517977 520992 525708 541170 542700 546720 550800 553554 556632 562800 569835 574056 575530 577248 578340 579825 584120 597975 601300 607824 613326 615060 618480 633150 637840 642600 645813 649404 651240 657135 660960 675360 680400 683400 687200 690636 695790 700944 717570 721560 722925 723600 730150 738072 742176 759780 765408 768825 771120 773100 788562 797300 805742 811755 814050 817768 820080 826200 834948 844200 856800 861084 863295 865872 868320 876180 901950 911200 911736 919989 920848 922590 925344 927720 949725 956760 962080 963900 974106 978401 984096 1013040 1022210 1025100 1030800 1035954 1043685 1051416 1076355 1082340 1085400 1095225 1101600 1107108 1113264 1125600 1139670 1148112 1151060 1156680 1159650 1168240 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774975600 782720800 783181224 792504810 794870496 815813775 821856840 827990100 845338464 870201360 880560900 924588945 932358600 946274400 951005772 966890400 978976530 986228208 993588120 1027321050 1044241632 1056673080 1087751700 1095809120 1103986800 1109506734 1118830320 1168927200 1174081200 1188757215 1232785260 1241985150 1243144800 1268007696 1305302040 1320841350 1324784160 1369761400 1398537900 1408897440 1419411600 1450335600 1479342312 1540981575 1549951200 1566362448 1585009620 1631627550 1643713680 1655980200 1664260101 1740402720 1761121800 1849177890 1864717200 1902011544 1957953060 1972456416 1981262025 1987176240 2054642100 2113346160 2175503400 2207973600 2219013468 2237660640 2348162400 2377514430 2447441325 2465570520 2483970300 2536015392 2610604080 2641682700 2739522800 2773766835 2797075800 2838823200 2900671200 2958684624 3081963150 3132724896 3170019240 3263255100 3287427360 3311960400 3328520202 3522243600 3698355780 3729434400 3804023088 3915906120 3962524050 3974352480 4109284200 4226692320 4351006800 4438026936 4622944725 4755028860 4894882650 4931141040 4967940600 5221208160 5283365400 5479045600 5547533670 5594151600 5917369248 5943786075 6163926300 6340038480 6526510200 6623920800 6657040404 7044487200 7396711560 7608046176 7831812240 7925048100 8218568400 8321300505 8702013600 8876053872 9245889450 9510057720 9789765300 9862282080 9935881200 10566730800 11095067340 11188303200 11887572150 12327852600 12680076960 13053020400 13314080808 13868834175 14793423120 15663624480 15850096200 16437136800 16642601010 17752107744 18491778900 19020115440 19579530600 19871762400 21133461600 22190134680 23775144300 24655705200 26106040800 26628161616 27737668350 29586846240 31700192400 33285202020 36983557800 38040230880 39159061200 41606502525 44380269360 47550288600 49311410400 53256323232 55475336700 63400384800 66570404040 73967115600 78318122400 83213005050 88760538720 95100577200 110950673400 133140808080 147934231200 166426010100 190201154400 221901346800 266281616160 332852020200 443802693600 665704040400 1331408080800
- Sum of all divisors σ(n): 5986506839040
- Sum of proper divisors (its aliquot sum) s(n): 4655098758240
- 1331408080800 is an abundant number, because the sum of its proper divisors (4655098758240) is greater than itself. Its abundance is 3323690677440
Bases of 1331408080800
- Binary: 100110101111111100001101100001111101000002
- Hexadecimal: 0x135FE1B0FA0
- Base-36: GZN1ZU00
Squares and roots of 1331408080800
- 1331408080800 squared (13314080808002) is 1772647477619539328640000
- 1331408080800 cubed (13314080808003) is 2360117176112391810124702874112000000
-
The
square root of 1331408080800 is 1153866.5784223061 -
The
cube root of 1331408080800 is 11001.1240746599
Scales and comparisons
How big is 1331408080800?- 1,331,408,080,800 seconds is equal to 42,334 years, 34 weeks, 1 day, 18 hours.
-
To count from 1 to 1,331,408,080,800 would take you about one hundred five thousand, eight hundred thirty-six 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 1331408080800 cubic inches would be around 916.8 feet tall.
Recreational maths with 1331408080800
- 1331408080800 backwards is 0080808041331
- 1331408080800 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1331408080800's digits is 36
- More coming soon!
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"Number 1331408080800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 1331408080800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/1331408080800/
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The information we have on file for 1331408080800 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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