12964458792960000
12,964,458,792,960,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12964458792960000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4800 divisors.
12964458792960000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, eight hundred divisors.
Prime factorization of 12964458792960000:
214 × 33 × 54 × 31 × 61 × 137 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 31 × 61 × 137 × 181)See below for interesting mathematical facts about the number 12964458792960000 from the Numbermatics database.
Names of 12964458792960000
- Cardinal: 12964458792960000 can be written as Twelve quadrillion, nine hundred sixty-four trillion, four hundred fifty-eight billion, seven hundred ninety-two million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.296445879296 × 1016
Factors of 12964458792960000
Divisors of 12964458792960000
- Number of divisors d(n): 4800
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 61 62 64 72 75 80 90 93 96 100 108 120 122 124 125 128 135 137 144 150 155 160 180 181 183 186 192 200 216 225 240 244 248 250 256 270 274 279 288 300 305 310 320 360 362 366 372 375 384 400 411 432 450 465 480 488 496 500 512 540 543 548 549 558 576 600 610 620 625 640 675 685 720 724 732 744 750 768 775 800 822 837 864 900 905 915 930 960 976 992 1000 1024 1080 1086 1096 1098 1116 1125 1152 1200 1220 1233 1240 1250 1280 1350 1370 1395 1440 1448 1464 1488 1500 1525 1536 1550 1600 1629 1644 1647 1674 1728 1800 1810 1830 1860 1875 1891 1920 1952 1984 2000 2048 2055 2160 2172 2192 2196 2232 2250 2304 2325 2400 2440 2466 2480 2500 2560 2700 2715 2740 2745 2790 2880 2896 2928 2976 3000 3050 3072 3100 3200 3258 3288 3294 3348 3375 3425 3456 3600 3620 3660 3699 3720 3750 3782 3840 3875 3904 3968 4000 4096 4110 4185 4247 4320 4344 4384 4392 4464 4500 4525 4575 4608 4650 4800 4880 4887 4932 4960 5000 5120 5400 5430 5480 5490 5580 5611 5625 5673 5760 5792 5856 5952 6000 6100 6144 6165 6200 6400 6516 6576 6588 6696 6750 6850 6912 6975 7200 7240 7320 7398 7440 7500 7564 7625 7680 7750 7808 7936 8000 8145 8192 8220 8235 8357 8370 8494 8640 8688 8768 8784 8928 9000 9050 9150 9216 9300 9455 9600 9760 9774 9864 9920 10000 10240 10275 10800 10860 10960 10980 11041 11160 11222 11250 11346 11520 11584 11625 11712 11904 12000 12200 12288 12330 12400 12741 12800 13032 13152 13176 13392 13500 13575 13700 13725 13824 13950 14400 14480 14640 14796 14880 15000 15128 15250 15360 15500 15616 15872 16000 16290 16384 16440 16470 16714 16740 16833 16875 16988 17019 17125 17280 17376 17536 17568 17856 18000 18100 18300 18432 18495 18600 18910 19200 19375 19520 19548 19728 19840 20000 20480 20550 20925 21235 21600 21720 21920 21960 22082 22320 22444 22500 22625 22692 22875 23040 23168 23250 23424 23808 24000 24400 24435 24576 24660 24797 24800 25071 25482 25600 26064 26304 26352 26784 27000 27150 27400 27450 27648 27900 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53133027840000 54018578304000 57619816857600 60020642560000 64822293964800 67523222880000 69701391360000 70844037120000 71626844160000 72024771072000 81027867456000 83641669632000 86429725286400 90030963840000 94631086080000 96033028096000 101284834320000 103715670343680 104552087040000 106266055680000 108037156608000 120041285120000 129644587929600 135046445760000 139402782720000 144049542144000 162055734912000 172859450572800 180061927680000 202569668640000 209104174080000 212532111360000 216074313216000 240082570240000 259289175859200 270092891520000 288099084288000 324111469824000 360123855360000 405139337280000 418208348160000 432148626432000 480165140480000 518578351718400 540185783040000 648222939648000 720247710720000 810278674560000 864297252864000 1080371566080000 1296445879296000 1440495421440000 1620557349120000 2160743132160000 2592891758592000 3241114698240000 4321486264320000 6482229396480000 12964458792960000
- Sum of all divisors σ(n): 51008182420715520
- Sum of proper divisors (its aliquot sum) s(n): 38043723627755520
- 12964458792960000 is an abundant number, because the sum of its proper divisors (38043723627755520) is greater than itself. Its abundance is 25079264834795520
Bases of 12964458792960000
- Binary: 1011100000111100011011010010010000111101000000000000002
- Hexadecimal: 0x2E0F1B490F4000
- Base-36: 3JNIM5CX6O0
Squares and roots of 12964458792960000
- 12964458792960000 squared (129644587929600002) is 168077191794357860145561600000000
- 12964458792960000 cubed (129644587929600003) is 2179029827054387120081016030637326336000000000000
-
The
square root of 12964458792960000 is 113861577.3338837951 -
The
cube root of 12964458792960000 is 234918.9930115491
Scales and comparisons
How big is 12964458792960000?- 12,964,458,792,960,000 seconds is equal to 412,229,687 years, 47 weeks, 3 days.
-
To count from 1 to 12,964,458,792,960,000 would take you about one billion, two hundred thirty-six million, six hundred eighty-nine thousand and sixty-three 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 12964458792960000 cubic inches would be around 19576.6 feet tall.
Recreational maths with 12964458792960000
- 12964458792960000 backwards is 00006929785446921
- 12964458792960000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12964458792960000's digits is 72
- More coming soon!
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"Number 12964458792960000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
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Numbermatics. (2024). Number 12964458792960000 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/12964458792960000/
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The information we have on file for 12964458792960000 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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