1338728448000
1,338,728,448,000 is an even composite number composed of six prime numbers multiplied together.
1338728448000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty-eight divisors.
Prime factorization of 1338728448000:
216 × 3 × 53 × 19 × 47 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 47 × 61)See below for interesting mathematical facts about the number 1338728448000 from the Numbermatics database.
Names of 1338728448000
- Cardinal: 1338728448000 can be written as One trillion, three hundred thirty-eight billion, seven hundred twenty-eight million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.338728448 × 1012
Factors of 1338728448000
Divisors of 1338728448000
- Number of divisors d(n): 1088
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 47 48 50 57 60 61 64 75 76 80 94 95 96 100 114 120 122 125 128 141 150 152 160 183 188 190 192 200 228 235 240 244 250 256 282 285 300 304 305 320 366 375 376 380 384 400 456 470 475 480 488 500 512 564 570 600 608 610 640 705 732 750 752 760 768 800 893 912 915 940 950 960 976 1000 1024 1128 1140 1159 1175 1200 1216 1220 1280 1410 1425 1464 1500 1504 1520 1525 1536 1600 1786 1824 1830 1880 1900 1920 1952 2000 2048 2256 2280 2318 2350 2375 2400 2432 2440 2560 2679 2820 2850 2867 2928 3000 3008 3040 3050 3072 3200 3477 3525 3572 3648 3660 3760 3800 3840 3904 4000 4096 4465 4512 4560 4575 4636 4700 4750 4800 4864 4880 5120 5358 5640 5700 5734 5795 5856 5875 6000 6016 6080 6100 6144 6400 6954 7050 7125 7144 7296 7320 7520 7600 7625 7680 7808 8000 8192 8601 8930 9024 9120 9150 9272 9400 9500 9600 9728 9760 10240 10716 11280 11400 11468 11590 11712 11750 12000 12032 12160 12200 12288 12800 13395 13908 14100 14250 14288 14335 14592 14640 15040 15200 15250 15360 15616 16000 16384 17202 17385 17625 17860 18048 18240 18300 18544 18800 19000 19200 19456 19520 20480 21432 22325 22560 22800 22875 22936 23180 23424 23500 24000 24064 24320 24400 24576 25600 26790 27816 28200 28500 28576 28670 28975 29184 29280 30080 30400 30500 30720 31232 32000 32768 34404 34770 35250 35720 36096 36480 36600 37088 37600 38000 38400 38912 39040 40960 42864 43005 44650 45120 45600 45750 45872 46360 46848 47000 48000 48128 48640 48800 49152 51200 53580 54473 55632 56400 57000 57152 57340 57950 58368 58560 60160 60800 61000 61440 62464 64000 65536 66975 68808 69540 70500 71440 71675 72192 72960 73200 74176 75200 76000 76800 77824 78080 81920 85728 86010 86925 89300 90240 91200 91500 91744 92720 93696 94000 96000 96256 97280 97600 98304 102400 107160 108946 111264 111625 112800 114000 114304 114680 115900 116736 117120 120320 121600 122000 122880 124928 128000 133950 137616 139080 141000 142880 143350 144384 144875 145920 146400 148352 150400 152000 153600 155648 156160 163419 163840 171456 172020 173850 178600 180480 182400 183000 183488 185440 187392 188000 192000 192512 194560 195200 196608 204800 214320 215025 217892 222528 223250 225600 228000 228608 229360 231800 233472 234240 240640 243200 244000 245760 249856 256000 267900 272365 275232 278160 282000 285760 286700 288768 289750 291840 292800 296704 300800 304000 307200 311296 312320 326838 327680 334875 342912 344040 347700 357200 358375 360960 364800 366000 366976 370880 374784 376000 384000 385024 389120 390400 409600 428640 430050 434625 435784 445056 446500 451200 456000 457216 458720 463600 466944 468480 481280 486400 488000 491520 499712 512000 535800 544730 550464 556320 564000 571520 573400 577536 579500 583680 585600 593408 601600 608000 614400 622592 624640 653676 669750 685824 688080 695400 714400 716750 721920 729600 732000 733952 741760 749568 752000 768000 770048 778240 780800 817095 819200 857280 860100 869250 871568 890112 893000 902400 912000 914432 917440 927200 933888 936960 962560 972800 976000 983040 999424 1024000 1071600 1075125 1089460 1100928 1112640 1128000 1143040 1146800 1155072 1159000 1167360 1171200 1186816 1203200 1216000 1228800 1245184 1249280 1307352 1339500 1361825 1371648 1376160 1390800 1428800 1433500 1443840 1459200 1464000 1467904 1483520 1499136 1504000 1536000 1540096 1556480 1561600 1634190 1638400 1714560 1720200 1738500 1743136 1780224 1786000 1804800 1824000 1828864 1834880 1854400 1867776 1873920 1925120 1945600 1952000 1998848 2048000 2143200 2150250 2178920 2201856 2225280 2256000 2286080 2293600 2310144 2318000 2334720 2342400 2373632 2406400 2432000 2457600 2498560 2614704 2679000 2723650 2743296 2752320 2781600 2857600 2867000 2887680 2918400 2928000 2935808 2967040 2998272 3008000 3072000 3080192 3112960 3123200 3268380 3429120 3440400 3477000 3486272 3560448 3572000 3609600 3648000 3657728 3669760 3708800 3735552 3747840 3850240 3891200 3904000 3997696 4085475 4096000 4286400 4300500 4357840 4403712 4450560 4512000 4572160 4587200 4620288 4636000 4669440 4684800 4747264 4812800 4864000 4915200 4997120 5229408 5358000 5447300 5486592 5504640 5563200 5715200 5734000 5775360 5836800 5856000 5871616 5934080 5996544 6016000 6144000 6225920 6246400 6536760 6809125 6858240 6880800 6954000 6972544 7120896 7144000 7219200 7296000 7315456 7339520 7417600 7495680 7700480 7782400 7808000 8170950 8192000 8572800 8601000 8715680 8807424 8901120 9024000 9144320 9174400 9240576 9272000 9338880 9369600 9494528 9625600 9728000 9994240 10458816 10716000 10894600 10973184 11009280 11126400 11430400 11468000 11550720 11673600 11712000 11743232 11868160 11993088 12032000 12288000 12492800 13073520 13618250 13716480 13761600 13908000 13945088 14241792 14288000 14438400 14592000 14630912 14679040 14835200 14991360 15400960 15564800 15616000 16341900 17145600 17202000 17431360 17614848 17802240 18048000 18288640 18348800 18544000 18677760 18739200 18989056 19251200 19456000 19988480 20427375 20917632 21432000 21789200 21946368 22018560 22252800 22860800 22936000 23101440 23347200 23424000 23486464 23736320 24064000 24576000 24985600 26147040 27236500 27432960 27523200 27816000 27890176 28483584 28576000 28876800 29184000 29261824 29358080 29670400 29982720 31129600 31232000 32683800 34291200 34404000 34862720 35229696 35604480 36096000 36577280 36697600 37088000 37478400 37978112 38502400 38912000 40854750 41835264 42864000 43578400 43892736 44037120 44505600 45721600 45872000 46202880 46694400 46848000 46972928 47472640 48128000 49971200 52294080 54473000 54865920 55046400 55632000 55780352 56967168 57152000 57753600 58368000 58523648 58716160 59340800 59965440 62464000 65367600 68582400 68808000 69725440 70459392 71208960 72192000 73154560 73395200 74176000 74956800 75956224 77004800 77824000 81709500 83670528 85728000 87156800 87785472 88074240 89011200 91443200 91744000 93388800 93696000 93945856 94945280 96256000 99942400 104588160 108946000 109731840 110092800 111264000 111560704 113934336 114304000 115507200 116736000 117432320 118681600 124928000 130735200 137164800 137616000 139450880 140918784 142417920 144384000 146309120 146790400 148352000 149913600 155648000 163419000 167341056 171456000 174313600 175570944 176148480 178022400 182886400 183488000 187392000 187891712 189890560 192512000 209176320 217892000 219463680 220185600 222528000 223121408 227868672 228608000 231014400 233472000 234864640 237363200 249856000 261470400 274329600 275232000 278901760 281837568 284835840 288768000 292618240 293580800 296704000 299827200 326838000 334682112 342912000 348627200 352296960 356044800 365772800 366976000 374784000 379781120 385024000 418352640 435784000 438927360 440371200 445056000 446242816 457216000 466944000 469729280 474726400 499712000 522940800 548659200 550464000 557803520 563675136 569671680 577536000 587161600 593408000 653676000 669364224 685824000 697254400 704593920 712089600 731545600 733952000 749568000 836705280 871568000 877854720 880742400 890112000 892485632 914432000 939458560 949452800 1045881600 1097318400 1100928000 1115607040 1139343360 1155072000 1174323200 1186816000 1307352000 1338728448 1371648000 1394508800 1409187840 1424179200 1463091200 1467904000 1499136000 1673410560 1743136000 1761484800 1780224000 1784971264 1828864000 1898905600 2091763200 2194636800 2201856000 2231214080 2348646400 2373632000 2614704000 2677456896 2743296000 2789017600 2818375680 2848358400 2935808000 3346821120 3486272000 3522969600 3560448000 3569942528 3657728000 4183526400 4389273600 4403712000 4462428160 4697292800 4747264000 5229408000 5354913792 5486592000 5578035200 5696716800 5871616000 6693642240 6972544000 7045939200 7120896000 7315456000 8367052800 8807424000 8924856320 9494528000 10458816000 10709827584 10973184000 11156070400 11743232000 13387284480 13945088000 14091878400 14241792000 16734105600 17614848000 17849712640 20917632000 21946368000 22312140800 23486464000 26774568960 27890176000 28483584000 33468211200 35229696000 41835264000 44624281600 53549137920 55780352000 66936422400 70459392000 83670528000 89248563200 111560704000 133872844800 167341056000 223121408000 267745689600 334682112000 446242816000 669364224000 1338728448000
- Sum of all divisors σ(n): 4868039854080
- Sum of proper divisors (its aliquot sum) s(n): 3529311406080
- 1338728448000 is an abundant number, because the sum of its proper divisors (3529311406080) is greater than itself. Its abundance is 2190582958080
Bases of 1338728448000
- Binary: 100110111101100100110111100000000000000002
- Hexadecimal: 0x137B26F0000
- Base-36: H304CPHC
Squares and roots of 1338728448000
- 1338728448000 squared (13387284480002) is 1792193857484488704000000
- 1338728448000 cubed (13387284480003) is 2399260901345342746779451392000000000
-
The
square root of 1338728448000 is 1157034.3331120299 -
The
cube root of 1338728448000 is 11021.2494150495
Scales and comparisons
How big is 1338728448000?- 1,338,728,448,000 seconds is equal to 42,567 years, 22 weeks, 5 hours, 20 minutes.
-
To count from 1 to 1,338,728,448,000 would take you about one hundred six thousand, four hundred eighteen 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 1338728448000 cubic inches would be around 918.4 feet tall.
Recreational maths with 1338728448000
- 1338728448000 backwards is 0008448278331
- 1338728448000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1338728448000's digits is 48
- More coming soon!
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The information we have on file for 1338728448000 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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