1300000768000
1,300,000,768,000 is an even composite number composed of five prime numbers multiplied together.
1300000768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1300000768000:
215 × 53 × 112 × 43 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 43 × 61)See below for interesting mathematical facts about the number 1300000768000 from the Numbermatics database.
Names of 1300000768000
- Cardinal: 1300000768000 can be written as One trillion, three hundred billion, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.300000768 × 1012
Factors of 1300000768000
Divisors of 1300000768000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 43 44 50 55 61 64 80 86 88 100 110 121 122 125 128 160 172 176 200 215 220 242 244 250 256 275 305 320 344 352 400 430 440 473 484 488 500 512 550 605 610 640 671 688 704 800 860 880 946 968 976 1000 1024 1075 1100 1210 1220 1280 1342 1375 1376 1408 1525 1600 1720 1760 1892 1936 1952 2000 2048 2150 2200 2365 2420 2440 2560 2623 2684 2750 2752 2816 3025 3050 3200 3355 3440 3520 3784 3872 3904 4000 4096 4300 4400 4730 4840 4880 5120 5203 5246 5368 5375 5500 5504 5632 6050 6100 6400 6710 6880 7040 7381 7568 7625 7744 7808 8000 8192 8600 8800 9460 9680 9760 10240 10406 10492 10736 10750 11000 11008 11264 11825 12100 12200 12800 13115 13420 13760 14080 14762 15125 15136 15250 15488 15616 16000 16384 16775 17200 17600 18920 19360 19520 20480 20812 20984 21472 21500 22000 22016 22528 23650 24200 24400 25600 26015 26230 26840 27520 28160 28853 29524 30250 30272 30500 30976 31232 32000 32768 33550 34400 35200 36905 37840 38720 39040 40960 41624 41968 42944 43000 44000 44032 45056 47300 48400 48800 51200 52030 52460 53680 55040 56320 57706 59048 59125 60500 60544 61000 61952 62464 64000 65575 67100 68800 70400 73810 75680 77440 78080 81920 83248 83875 83936 85888 86000 88000 88064 90112 94600 96800 97600 102400 104060 104920 107360 110080 112640 115412 118096 118250 121000 121088 122000 123904 124928 128000 130075 131150 134200 137600 140800 144265 147620 151360 154880 156160 163840 166496 167750 167872 171776 172000 176000 176128 180224 184525 189200 193600 195200 204800 208120 209840 214720 220160 225280 230824 236192 236500 242000 242176 244000 247808 249856 256000 260150 262300 268400 275200 281600 288530 295240 302720 309760 312320 317383 327875 332992 335500 335744 343552 344000 352000 352256 360448 369050 378400 387200 390400 409600 416240 419680 429440 440320 450560 461648 472384 473000 484000 484352 488000 495616 499712 512000 520300 524600 536800 550400 563200 577060 590480 605440 619520 624640 634766 650375 655750 665984 671000 671488 687104 688000 704000 704512 721325 738100 756800 774400 780800 819200 832480 839360 858880 880640 901120 922625 923296 944768 946000 968000 968704 976000 991232 999424 1024000 1040600 1049200 1073600 1100800 1126400 1154120 1180960 1210880 1239040 1249280 1269532 1300750 1311500 1331968 1342000 1342976 1374208 1376000 1408000 1409024 1442650 1476200 1513600 1548800 1561600 1586915 1664960 1678720 1717760 1761280 1802240 1845250 1846592 1889536 1892000 1936000 1937408 1952000 1982464 1998848 2048000 2081200 2098400 2147200 2201600 2252800 2308240 2361920 2421760 2478080 2498560 2539064 2601500 2623000 2663936 2684000 2685952 2748416 2752000 2816000 2885300 2952400 3027200 3097600 3123200 3173830 3329920 3357440 3435520 3522560 3606625 3690500 3693184 3779072 3784000 3872000 3874816 3904000 3964928 4096000 4162400 4196800 4294400 4403200 4505600 4616480 4723840 4843520 4956160 4997120 5078128 5203000 5246000 5327872 5368000 5371904 5496832 5504000 5632000 5770600 5904800 6054400 6195200 6246400 6347660 6659840 6714880 6871040 7045120 7213250 7381000 7386368 7558144 7568000 7744000 7749632 7808000 7934575 8324800 8393600 8588800 8806400 9011200 9232960 9447680 9687040 9912320 9994240 10156256 10406000 10492000 10655744 10736000 10743808 10993664 11008000 11264000 11541200 11809600 12108800 12390400 12492800 12695320 13319680 13429760 13742080 14426500 14762000 14772736 15116288 15136000 15488000 15499264 15616000 15869150 16649600 16787200 17177600 17612800 18465920 18895360 19374080 19824640 20312512 20812000 20984000 21311488 21472000 21487616 21987328 22016000 22528000 23082400 23619200 24217600 24780800 24985600 25390640 26639360 26859520 27484160 28853000 29524000 29545472 30232576 30272000 30976000 31232000 31738300 33299200 33574400 34355200 35225600 36931840 37790720 38748160 39672875 40625024 41624000 41968000 42622976 42944000 42975232 44032000 45056000 46164800 47238400 48435200 49561600 49971200 50781280 53278720 53719040 54968320 57706000 59048000 59090944 60465152 60544000 61952000 62464000 63476600 66598400 67148800 68710400 73863680 75581440 77496320 79345750 81250048 83248000 83936000 85245952 85888000 85950464 88064000 92329600 94476800 96870400 99123200 101562560 106557440 107438080 109936640 115412000 118096000 118181888 120930304 121088000 123904000 124928000 126953200 133196800 134297600 137420800 147727360 151162880 158691500 162500096 166496000 167872000 170491904 171776000 176128000 184659200 188953600 193740800 203125120 213114880 214876160 230824000 236192000 236363776 241860608 242176000 247808000 249856000 253906400 266393600 268595200 274841600 295454720 302325760 317383000 325000192 332992000 335744000 343552000 369318400 377907200 387481600 406250240 426229760 429752320 461648000 472384000 472727552 484352000 495616000 507812800 532787200 537190400 549683200 590909440 604651520 634766000 650000384 665984000 671488000 687104000 738636800 755814400 812500480 852459520 923296000 944768000 945455104 968704000 1015625600 1065574400 1074380800 1181818880 1209303040 1269532000 1300000768 1331968000 1342976000 1374208000 1477273600 1511628800 1625000960 1846592000 1889536000 1937408000 2031251200 2131148800 2148761600 2363637760 2539064000 2600001536 2663936000 2685952000 2748416000 2954547200 3023257600 3250001920 3693184000 3779072000 4062502400 4262297600 4727275520 5078128000 5200003072 5327872000 5371904000 5909094400 6046515200 6500003840 7386368000 7558144000 8125004800 10156256000 10400006144 10655744000 10743808000 11818188800 13000007680 14772736000 15116288000 16250009600 20312512000 21311488000 23636377600 26000015360 29545472000 30232576000 32500019200 40625024000 52000030720 59090944000 65000038400 81250048000 118181888000 130000076800 162500096000 260000153600 325000192000 650000384000 1300000768000
- Sum of all divisors σ(n): 3709316651040
- Sum of proper divisors (its aliquot sum) s(n): 2409315883040
- 1300000768000 is an abundant number, because the sum of its proper divisors (2409315883040) is greater than itself. Its abundance is 1109315115040
Bases of 1300000768000
- Binary: 100101110101011100001010110000000000000002
- Hexadecimal: 0x12EAE158000
- Base-36: GL7MW4CG
Squares and roots of 1300000768000
- 1300000768000 squared (13000007680002) is 1690001996800589824000000
- 1300000768000 cubed (13000007680003) is 2197003893762300314052984832000000000
-
The
square root of 1300000768000 is 1140175.7618893677 -
The
cube root of 1300000768000 is 10913.9309798151
Scales and comparisons
How big is 1300000768000?- 1,300,000,768,000 seconds is equal to 41,336 years, 1 day, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 1,300,000,768,000 would take you about one hundred three thousand, three hundred forty 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 1300000768000 cubic inches would be around 909.5 feet tall.
Recreational maths with 1300000768000
- 1300000768000 backwards is 0008670000031
- 1300000768000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1300000768000's digits is 25
- More coming soon!
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