12978166989200
12,978,166,989,200 is an even composite number composed of five prime numbers multiplied together.
12978166989200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred fifty divisors.
Prime factorization of 12978166989200:
24 × 52 × 72 × 17 × 794
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 17 × 79 × 79 × 79 × 79)See below for interesting mathematical facts about the number 12978166989200 from the Numbermatics database.
Names of 12978166989200
- Cardinal: 12978166989200 can be written as Twelve trillion, nine hundred seventy-eight billion, one hundred sixty-six million, nine hundred eighty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.29781669892 × 1013
Factors of 12978166989200
Divisors of 12978166989200
- Number of divisors d(n): 450
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 49 50 56 68 70 79 80 85 98 100 112 119 136 140 158 170 175 196 200 238 245 272 280 316 340 350 392 395 400 425 476 490 553 560 595 632 680 700 784 790 833 850 952 980 1106 1190 1225 1264 1343 1360 1400 1580 1666 1700 1904 1960 1975 2212 2380 2450 2686 2765 2800 2975 3160 3332 3400 3871 3920 3950 4165 4424 4760 4900 5372 5530 5950 6241 6320 6664 6715 6800 7742 7900 8330 8848 9401 9520 9800 10744 11060 11900 12482 13328 13430 13825 15484 15800 16660 18802 19355 19600 20825 21488 22120 23800 24964 26860 27650 30968 31205 31600 33320 33575 37604 38710 41650 43687 44240 47005 47600 49928 53720 55300 61936 62410 65807 66640 67150 75208 77420 83300 87374 94010 96775 99856 106097 107440 110600 124820 131614 134300 150416 154840 156025 166600 174748 188020 193550 212194 218435 221200 235025 249640 263228 268600 305809 309680 312050 329035 333200 349496 376040 387100 424388 436870 470050 493039 499280 526456 530485 537200 611618 624100 658070 698992 742679 752080 774200 848776 873740 940100 986078 1052912 1060970 1092175 1223236 1248200 1316140 1485358 1529045 1548400 1645175 1697552 1747480 1880200 1972156 2121940 2184350 2446472 2465195 2496400 2632280 2652425 2970716 3058090 3290350 3451273 3494960 3713395 3760400 3944312 4243880 4368700 4892944 4930390 5198753 5264560 5304850 5941432 6116180 6580700 6902546 7426790 7645225 7888624 8381663 8487760 8737400 9860780 10397506 10609700 11882864 12232360 12325975 13161400 13805092 14853580 15290450 16763326 17256365 17474800 18566975 19721560 20795012 21219400 24158911 24464720 24651950 25993765 26322800 27610184 29707160 30580900 33526652 34512730 37133950 38950081 39443120 41590024 41908315 42438800 48317822 49303900 51987530 55220368 58671641 59414320 61161800 67053304 69025460 74267900 77900162 83180048 83816630 86281825 96635644 98607800 103975060 117343282 120794555 122323600 129968825 134106608 138050920 148535800 155800324 167633260 172563650 193271288 194750405 197215600 207950120 209541575 234686564 241589110 259937650 272650567 276101840 293358205 297071600 311600648 335266520 345127300 386542576 389500810 410701487 415900240 419083150 469373128 483178220 519875300 545301134 586716410 603972775 623201296 662151377 670533040 690254600 779001620 821402974 838166300 938746256 966356440 973752025 1039750600 1090602268 1173432820 1207945550 1324302754 1363252835 1380509200 1466791025 1558003240 1642805948 1676332600 1908553969 1932712880 1947504050 2053507435 2079501200 2181204536 2346865640 2415891100 2648605508 2726505670 2933582050 3116006480 3285611896 3310756885 3352665200 3817107938 3895008100 4107014870 4362409072 4635059639 4693731280 4831782200 5297211016 5453011340 5867164100 6571223792 6621513770 6816264175 7634215876 7790016200 8214029740 9270119278 9542769845 9663564400 10267537175 10594422032 10906022680 11734328200 13243027540 13632528350 15268431752 15580032400 16428059480 16553784425 18540238556 19085539690 20535074350 21812045360 23175298195 23468656400 26486055080 27265056700 30536863504 32445417473 32856118960 33107568850 37080477112 38171079380 41070148700 46350596390 47713849225 52972110160 54530113400 64890834946 66215137700 74160954224 76342158760 82140297400 92701192780 95427698450 109060226800 115876490975 129781669892 132430275400 152684317520 162227087365 164280594800 185402385560 190855396900 231752981950 259563339784 264860550800 324454174730 370804771120 381710793800 463505963900 519126679568 648908349460 763421587600 811135436825 927011927800 1297816698920 1622270873650 1854023855600 2595633397840 3244541747300 6489083494600 12978166989200
- Sum of all divisors σ(n): 38896596533826
- Sum of proper divisors (its aliquot sum) s(n): 25918429544626
- 12978166989200 is an abundant number, because the sum of its proper divisors (25918429544626) is greater than itself. Its abundance is 12940262555426
Bases of 12978166989200
- Binary: 101111001101101101110000100010000001100100002
- Hexadecimal: 0xBCDB7088190
- Base-36: 4LM35JEKW
Squares and roots of 12978166989200
- 12978166989200 squared (129781669892002) is 168432818399560592916640000
- 12978166989200 cubed (129781669892003) is 2185949243651095662775916595380288000000
-
The
square root of 12978166989200 is 3602522.3093271747 -
The
cube root of 12978166989200 is 23500.1762408389
Scales and comparisons
How big is 12978166989200?- 12,978,166,989,200 seconds is equal to 412,665 years, 29 weeks, 3 days, 1 hour, 53 minutes, 20 seconds.
-
To count from 1 to 12,978,166,989,200 would take you about one million, thirty-one thousand, six hundred 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 12978166989200 cubic inches would be around 1958.3 feet tall.
Recreational maths with 12978166989200
- 12978166989200 backwards is 00298966187921
- 12978166989200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12978166989200's digits is 68
- More coming soon!
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