13005128880128000
13,005,128,880,128,000 is an even composite number composed of six prime numbers multiplied together.
13005128880128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 13005128880128000:
215 × 53 × 72 × 112 × 173 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 17 × 17 × 17 × 109)See below for interesting mathematical facts about the number 13005128880128000 from the Numbermatics database.
Names of 13005128880128000
- Cardinal: 13005128880128000 can be written as Thirteen quadrillion, five trillion, one hundred twenty-eight billion, eight hundred eighty million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3005128880128 × 1016
Factors of 13005128880128000
Divisors of 13005128880128000
- Number of divisors d(n): 4608
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 32 34 35 40 44 49 50 55 56 64 68 70 77 80 85 88 98 100 109 110 112 119 121 125 128 136 140 154 160 170 175 176 187 196 200 218 220 224 238 242 245 250 256 272 275 280 289 308 320 340 350 352 374 385 392 400 425 436 440 448 476 484 490 500 512 539 544 545 550 560 578 595 605 616 640 680 700 704 748 763 770 784 800 833 847 850 872 875 880 896 935 952 968 980 1000 1024 1078 1088 1090 1100 1120 1156 1190 1199 1210 1225 1232 1280 1309 1360 1375 1400 1408 1445 1496 1526 1540 1568 1600 1666 1694 1700 1744 1750 1760 1792 1853 1870 1904 1925 1936 1960 2000 2023 2048 2057 2125 2156 2176 2180 2200 2240 2312 2380 2398 2420 2450 2464 2560 2618 2695 2720 2725 2750 2800 2816 2890 2975 2992 3025 3052 3080 3136 3179 3200 3332 3388 3400 3488 3500 3520 3584 3706 3740 3808 3815 3850 3872 3920 4000 4046 4096 4114 4165 4235 4250 4312 4352 4360 4400 4480 4624 4675 4760 4796 4840 4900 4913 4928 5120 5236 5341 5390 5440 5450 5500 5600 5632 5780 5929 5950 5984 5995 6050 6104 6125 6160 6272 6358 6400 6545 6664 6776 6800 6976 7000 7040 7168 7225 7412 7480 7616 7630 7700 7744 7840 8000 8092 8192 8228 8330 8393 8470 8500 8624 8704 8720 8800 8960 9163 9248 9265 9350 9520 9592 9625 9680 9800 9826 9856 10115 10240 10285 10472 10682 10780 10880 10900 11000 11200 11264 11560 11858 11900 11968 11990 12100 12208 12250 12320 12544 12716 12800 12971 13090 13189 13328 13475 13552 13600 13625 13952 14000 14080 14161 14336 14399 14450 14824 14875 14960 15125 15232 15260 15400 15488 15680 15895 16000 16184 16384 16456 16660 16786 16940 17000 17248 17408 17440 17600 17920 18326 18496 18530 18700 19040 19075 19184 19250 19360 19600 19652 19712 20230 20383 20480 20570 20825 20944 21175 21364 21560 21760 21800 22000 22253 22400 22528 23120 23375 23716 23800 23936 23980 24200 24416 24500 24565 24640 25088 25432 25600 25942 26180 26378 26656 26705 26950 27104 27200 27250 27904 28000 28160 28322 28672 28798 28900 29645 29648 29750 29920 29975 30250 30464 30520 30800 30976 31360 31501 31790 32000 32368 32725 32768 32912 33320 33572 33880 34000 34391 34496 34816 34880 34969 35200 35840 36125 36652 36992 37060 37400 38080 38150 38368 38500 38720 39200 39304 39424 40460 40766 40960 41140 41650 41888 41965 42350 42728 43120 43520 43600 44000 44506 44800 45056 45815 46240 46325 46750 47432 47600 47872 47960 48400 48832 49000 49130 49280 50176 50575 50864 51200 51425 51884 52360 52756 53312 53410 53900 54043 54208 54400 54500 55808 56000 56320 56644 57344 57596 57800 58751 59290 59296 59500 59840 59950 60500 60928 61040 61600 61952 62720 63002 63580 64000 64736 64855 65450 65824 65945 66640 67144 67375 67760 68000 68782 68992 69632 69760 69938 70400 70805 71680 71995 72250 73304 73984 74120 74800 76160 76300 76736 77000 77440 78400 78608 78848 79475 80920 81532 81920 82280 83300 83776 83930 84700 85456 86240 87040 87200 88000 89012 89600 90112 90797 91630 92323 92480 92650 93500 94864 95200 95375 95744 95920 96800 97664 98000 98260 98560 100352 100793 101150 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7650075811840 7677171712000 7806199808000 8128205550080 8294087296000 8444888883200 8522364928000 8693267968000 9000089190400 9236597216000 9289377771520 9458275549184 9562594764800 9935163392000 10160256937600 10556111104000 10616431738880 10748040396800 10846646272000 10928679731200 11250111488000 11611722214400 11822844436480 11931310899200 11953243456000 12064126976000 12700321172000 13005128880128 13270539673600 13435050496000 13660849664000 13909228748800 14514652768000 14778555545600 14863004434432 14914138624000 15300151623680 15354343424000 15612399616000 16256411100160 16588174592000 16889777766400 17044729856000 17386535936000 18473194432000 18578755543040 19125189529600 20320513875200 21112222208000 21496080793600 21857359462400 22500222976000 23223444428800 23645688872960 23862621798400 23906486912000 24128253952000 25400642344000 26010257760256 26541079347200 26870100992000 27321699328000 29029305536000 29557111091200 29828277248000 30600303247360 32512822200320 33176349184000 33779555532800 34773071872000 36946388864000 37157511086080 38250379059200 40641027750400 42224444416000 45000445952000 46446888857600 47291377745920 47812973824000 50801284688000 52020515520512 53082158694400 53740201984000 54643398656000 58058611072000 59114222182400 59656554496000 65025644400640 66352698368000 69546143744000 73892777728000 74315022172160 76500758118400 81282055500800 84448888832000 92893777715200 95625947648000 101602569376000 104041031041024 107480403968000 109286797312000 116117222144000 118228444364800 119313108992000 130051288801280 132705396736000 147785555456000 153001516236800 162564111001600 168897777664000 185787555430400 191251895296000 203205138752000 232234444288000 236456888729600 260102577602560 265410793472000 295571110912000 325128222003200 371575110860800 382503790592000 406410277504000 464468888576000 520205155205120 591142221824000 650256444006400 765007581184000 812820555008000 928937777152000 1182284443648000 1300512888012800 1625641110016000 1857875554304000 2601025776025600 3251282220032000 6502564440064000 13005128880128000
- Sum of all divisors σ(n): 44502825659292000
- Sum of proper divisors (its aliquot sum) s(n): 31497696779164000
- 13005128880128000 is an abundant number, because the sum of its proper divisors (31497696779164000) is greater than itself. Its abundance is 18492567899036000
Bases of 13005128880128000
- Binary: 1011100011010000011000100001110010100010000000000000002
- Hexadecimal: 0x2E341887288000
- Base-36: 3K1XLQ8R1FK
Squares and roots of 13005128880128000
- 13005128880128000 squared (130051288801280002) is 169133377188739367393296384000000
- 13005128880128000 cubed (130051288801280003) is 2199601368270856629959647760984311857152000000000
-
The
square root of 13005128880128000 is 114040031.9191817835 -
The
cube root of 13005128880128000 is 235164.3870493367
Scales and comparisons
How big is 13005128880128000?- 13,005,128,880,128,000 seconds is equal to 413,522,870 years, 45 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,005,128,880,128,000 would take you about one billion, two hundred forty million, five hundred sixty-eight thousand, six hundred twelve 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 13005128880128000 cubic inches would be around 19597 feet tall.
Recreational maths with 13005128880128000
- 13005128880128000 backwards is 00082108882150031
- The number of decimal digits it has is: 17
- The sum of 13005128880128000's digits is 47
- More coming soon!
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"Number 13005128880128000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 13005128880128000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/13005128880128000/
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The information we have on file for 13005128880128000 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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