20946949144800
20,946,949,144,800 is an even composite number composed of seven prime numbers multiplied together.
20946949144800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 20946949144800:
25 × 3 × 52 × 7 × 292 × 181 × 8191
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 29 × 29 × 181 × 8191)See below for interesting mathematical facts about the number 20946949144800 from the Numbermatics database.
Names of 20946949144800
- Cardinal: 20946949144800 can be written as Twenty trillion, nine hundred forty-six billion, nine hundred forty-nine million, one hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 2.09469491448 × 1013
Factors of 20946949144800
Divisors of 20946949144800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 50 56 58 60 70 75 80 84 87 96 100 105 112 116 120 140 145 150 160 168 174 175 181 200 203 210 224 232 240 280 290 300 336 348 350 362 400 406 420 435 464 480 525 543 560 580 600 609 672 696 700 724 725 800 812 840 841 870 905 928 1015 1050 1086 1120 1160 1200 1218 1267 1392 1400 1448 1450 1624 1680 1682 1740 1810 2030 2100 2172 2175 2320 2400 2436 2523 2534 2715 2784 2800 2896 2900 3045 3248 3360 3364 3480 3620 3801 4060 4200 4205 4344 4350 4525 4640 4872 5046 5068 5075 5249 5430 5600 5792 5800 5887 6090 6335 6496 6728 6960 7240 7602 8120 8191 8400 8410 8688 8700 9050 9744 10092 10136 10150 10498 10860 11600 11774 12180 12615 12670 13456 13575 13920 14480 15204 15225 15747 16240 16382 16800 16820 17376 17400 17661 18100 19005 19488 20184 20272 20300 20996 21025 21720 23200 23548 24360 24573 25230 25340 26245 26912 27150 28960 29435 30408 30450 31494 31675 32480 32764 33640 34800 35322 36200 36743 38010 40368 40544 40600 40955 41992 42050 43440 47096 48720 49146 50460 50680 52490 54300 57337 58870 60816 60900 62988 63075 63350 65528 67280 69600 70644 72400 73486 76020 78735 80736 81200 81910 83984 84100 86880 88305 94192 95025 97440 98292 100920 101360 104980 108600 110229 114674 117740 121632 121800 122865 125976 126150 126700 131056 131225 134560 141288 144800 146972 147175 152040 152221 157470 162400 163820 167968 168200 172011 176610 183715 188384 190050 196584 201840 202720 204775 209960 217200 220458 229348 235480 237539 243600 245730 251952 252300 253400 262112 262450 282576 286685 293944 294350 304080 304442 314940 327640 336400 344022 353220 367430 380100 393168 393675 403680 409550 419920 434400 440916 441525 456663 458696 470960 475078 487200 491460 503904 504600 506800 524900 551145 565152 573370 587888 588700 608160 608884 614325 629880 655280 672800 688044 706440 712617 734860 760200 761105 786336 787350 819100 839840 860055 881832 883050 913326 917392 918575 941920 950156 982920 1009200 1013600 1049800 1065547 1102290 1146740 1175776 1177400 1187695 1217768 1228650 1259760 1310560 1376088 1412880 1425234 1433425 1469720 1482571 1520400 1522210 1574700 1638200 1662773 1720110 1763664 1766100 1826652 1834784 1837150 1900312 1965840 2018400 2099600 2131094 2204580 2283315 2293480 2354800 2375390 2435536 2457300 2519520 2752176 2755725 2825760 2850468 2866850 2939440 2965142 3040800 3044420 3149400 3196641 3276400 3325546 3440220 3527328 3532200 3563085 3653304 3674300 3800624 3805525 3931680 4199200 4262188 4300275 4409160 4447713 4566630 4586960 4709600 4750780 4871072 4914600 4988319 5327735 5504352 5511450 5700936 5733700 5878880 5930284 5938475 6088840 6298800 6393282 6552800 6651092 6880440 6888631 7064400 7126170 7306608 7348600 7412855 7601248 7611050 8313865 8524376 8600550 8818320 8895426 9133260 9173920 9501560 9829200 9976638 10377997 10655470 11022900 11401872 11416575 11467400 11860568 11876950 12177680 12597600 12786564 13302184 13760880 13777262 14128800 14252340 14613216 14697200 14825710 15222100 15983205 16627730 17048752 17201100 17636640 17790852 17815425 18266520 19003120 19658400 19953276 20665893 20755994 21310940 22045800 22238565 22803744 22833150 22934800 23721136 23753900 24355360 24941595 25573128 26604368 26638675 27521760 27554524 28504680 29394400 29651420 30444200 31133991 31966410 33255460 34097504 34402200 34443155 35581704 35630850 36533040 37064275 38006240 39906552 41331786 41511988 41569325 42621880 42994559 44091600 44477130 45666300 45869600 47442272 47507800 48220417 49883190 51146256 51889985 53208736 53277350 55109048 57009360 59302840 60888400 62267982 63932820 66510920 68804400 68886310 71163408 71261700 73066080 74128550 79813104 79916025 82663572 83023976 83138650 85243760 85989118 88183200 88954260 91332600 95015600 96440834 99766380 102292512 103329465 103779970 106554700 110218096 111192825 114018720 118605680 121776800 124535964 124707975 127865640 128983677 133021840 137608800 137772620 142326816 142523400 144661251 148257100 155669955 159626208 159832050 165327144 166047952 166277300 170487520 171978236 172215775 177908520 182665200 190031200 192881668 199532760 206658930 207559940 213109400 214972795 220436192 222385650 237211360 241102085 249071928 249415950 255731280 257967354 259449925 266043680 275545240 285046800 289322502 296514200 300961913 311339910 319664100 330654288 332095904 332554600 343956472 344431550 355817040 365330400 385763336 399065520 413317860 415119880 426218800 429945590 444771300 482204170 498143856 498831900 511462560 515934708 516647325 518899850 551090480 570093600 578645004 593028400 601923826 622679820 639328200 644918385 661308576 665109200 687912944 688863100 711634080 723306255 771526672 778349775 798131040 826635720 830239760 852437600 859891180 889542600 902885739 964408340 996287712 997663800 1031869416 1033294650 1037799700 1074863975 1102180960 1157290008 1186056800 1203847652 1205510425 1245359640 1246842211 1278656400 1289836770 1330218400 1375825888 1377726200 1446612510 1504809565 1543053344 1556699550 1653271440 1660479520 1719782360 1779085200 1805771478 1928816680 1995327600 2063738832 2066589300 2075599400 2149727950 2314580016 2407695304 2411020850 2490719280 2493684422 2557312800 2579673540 2755452400 2893225020 3009619130 3113399100 3224591925 3306542880 3439564720 3558170400 3611542956 3616531275 3740526633 3857633360 3990655200 4127477664 4133178600 4151198800 4299455900 4514428695 4629160032 4815390608 4822041700 4981438560 4987368844 5159347080 5510904800 5786450040 6019238260 6226798200 6234211055 6449183850 6879129440 7223085912 7233062550 7481053266 7524047825 7715266720 8266357200 8302397600 8598911800 8727895477 9028857390 9630781216 9644083400 9974737688 10318694160 11572900080 12038476520 12453596400 12468422110 12898367700 14446171824 14466125100 14962106532 15048095650 16532714400 17197823600 17455790954 18057714780 18702633165 19288166800 19949475376 20637388320 22572143475 23145800160 24076953040 24907192800 24936844220 25796735400 26183686431 28892343648 28932250200 29924213064 30096191300 31171055275 34395647200 34911581908 36115429560 37405266330 38576333600 39898950752 43639477385 45144286950 48153906080 49873688440 51593470800 52367372862 57864500400 59848426128 60192382600 62342110550 69823163816 72230859120 74810532660 87278954770 90288573900 93513165825 99747376880 103186941600 104734745724 115729000800 119696852256 120384765200 124684221100 130918432155 139646327632 144461718240 149621065320 174557909540 180577147800 187026331650 199494753760 209469491448 218197386925 240769530400 249368442200 261836864310 279292655264 299242130640 349115819080 361154295600 374052663300 418938982896 436394773850 498736884400 523673728620 598484261280 654592160775 698231638160 722308591200 748105326600 837877965792 872789547700 997473768800 1047347457240 1309184321550 1396463276320 1496210653200 1745579095400 2094694914480 2618368643100 2992421306400 3491158190800 4189389828960 5236737286200 6982316381600 10473474572400 20946949144800
- Sum of all divisors σ(n): 81158069551104
- Sum of proper divisors (its aliquot sum) s(n): 60211120406304
- 20946949144800 is an abundant number, because the sum of its proper divisors (60211120406304) is greater than itself. Its abundance is 39264171261504
Bases of 20946949144800
- Binary: 1001100001101000101110111011010000000111000002
- Hexadecimal: 0x130D177680E0
- Base-36: 7FAW8OPUO
Squares and roots of 20946949144800
- 20946949144800 squared (209469491448002) is 438774678474837451367040000
- 20946949144800 cubed (209469491448003) is 9190990876038391320231830118907392000000
-
The
square root of 20946949144800 is 4576783.7118220913 -
The
cube root of 20946949144800 is 27565.9899051725
Scales and comparisons
How big is 20946949144800?- 20,946,949,144,800 seconds is equal to 666,048 years, 9 weeks, 6 days, 40 minutes.
-
To count from 1 to 20,946,949,144,800 would take you about one million, six hundred sixty-five thousand, one hundred twenty 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 20946949144800 cubic inches would be around 2297.2 feet tall.
Recreational maths with 20946949144800
- 20946949144800 backwards is 00844194964902
- 20946949144800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 20946949144800's digits is 60
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 20946949144800 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 20946949144800 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/20946949144800/
Chicago style:
Numbermatics. 2024. "Number 20946949144800 - Facts about the integer". https://numbermatics.com/n/20946949144800/
The information we have on file for 20946949144800 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!
Keywords: Divisors of 20946949144800, math, Factors of 20946949144800, curriculum, school, college, exams, university, Prime factorization of 20946949144800, STEM, science, technology, engineering, physics, economics, calculator, twenty trillion, nine hundred forty-six billion, nine hundred forty-nine million, one hundred forty-four thousand, eight hundred.