21478738944000
21,478,738,944,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 21478738944000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
21478738944000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 21478738944000:
213 × 3 × 53 × 13 × 172 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 17 × 17 × 1861)See below for interesting mathematical facts about the number 21478738944000 from the Numbermatics database.
Names of 21478738944000
- Cardinal: 21478738944000 can be written as Twenty-one trillion, four hundred seventy-eight billion, seven hundred thirty-eight million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 2.1478738944 × 1013
Factors of 21478738944000
Divisors of 21478738944000
- Number of divisors d(n): 1344
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 96 100 102 104 120 125 128 130 136 150 156 160 170 192 195 200 204 208 221 240 250 255 256 260 272 289 300 312 320 325 340 375 384 390 400 408 416 425 442 480 500 510 512 520 544 578 600 624 640 650 663 680 750 768 780 800 816 832 850 867 884 960 975 1000 1020 1024 1040 1088 1105 1156 1200 1248 1275 1280 1300 1326 1360 1445 1500 1536 1560 1600 1625 1632 1664 1700 1734 1768 1861 1920 1950 2000 2040 2048 2080 2125 2176 2210 2312 2400 2496 2550 2560 2600 2652 2720 2890 3000 3072 3120 3200 3250 3264 3315 3328 3400 3468 3536 3722 3757 3840 3900 4000 4080 4096 4160 4250 4335 4352 4420 4624 4800 4875 4992 5100 5120 5200 5304 5440 5525 5583 5780 6000 6144 6240 6375 6400 6500 6528 6630 6656 6800 6936 7072 7225 7444 7514 7680 7800 8000 8160 8192 8320 8500 8670 8704 8840 9248 9305 9600 9750 9984 10200 10240 10400 10608 10880 11050 11166 11271 11560 12000 12288 12480 12750 12800 13000 13056 13260 13312 13600 13872 14144 14450 14888 15028 15360 15600 16000 16320 16575 16640 17000 17340 17408 17680 18496 18610 18785 19200 19500 19968 20400 20480 20800 21216 21675 21760 22100 22332 22542 23120 24000 24193 24576 24960 25500 25600 26000 26112 26520 26624 27200 27625 27744 27915 28288 28900 29776 30056 30720 31200 31637 32000 32640 33150 33280 34000 34680 34816 35360 36125 36992 37220 37570 38400 39000 39936 40800 40960 41600 42432 43350 43520 44200 44664 45084 46240 46525 48000 48386 49920 51000 51200 52000 52224 53040 53248 54400 55250 55488 55830 56355 56576 57800 59552 60112 61440 62400 63274 64000 65280 66300 66560 68000 69360 69632 70720 72250 72579 73984 74440 75140 76800 78000 79872 81600 82875 83200 84864 86700 87040 88400 89328 90168 92480 93050 93925 94911 96000 96772 99840 102000 102400 104000 104448 106080 106496 108375 108800 110500 110976 111660 112710 113152 115600 119104 120224 120965 122880 124800 126548 128000 130560 132600 133120 136000 138720 139264 139575 141440 144500 145158 147968 148880 150280 153600 156000 158185 159744 163200 165750 166400 169728 173400 174080 176800 178656 180336 184960 186100 187850 189822 192000 193544 199680 204000 204800 208000 208896 212160 216750 217600 221000 221952 223320 225420 226304 231200 232625 238208 240448 241930 249600 253096 256000 261120 265200 266240 272000 277440 279150 281775 282880 289000 290316 295936 297760 300560 307200 312000 316370 319488 326400 331500 332800 339456 346800 348160 353600 357312 360672 362895 369920 372200 375700 379644 384000 387088 399360 408000 411281 416000 417792 424320 433500 435200 442000 443904 446640 450840 452608 462400 465250 469625 474555 476416 480896 483860 499200 506192 512000 522240 530400 532480 537829 544000 554880 558300 563550 565760 578000 580632 591872 595520 601120 604825 614400 624000 632740 652800 663000 665600 678912 693600 696320 697875 707200 714624 721344 725790 739840 744400 751400 759288 768000 774176 790925 798720 816000 822562 832000 848640 867000 870400 884000 887808 893280 901680 905216 924800 930500 939250 949110 952832 961792 967720 998400 1012384 1024000 1044480 1060800 1075658 1088000 1109760 1116600 1127100 1131520 1156000 1161264 1183744 1191040 1202240 1209650 1233843 1248000 1265480 1305600 1326000 1331200 1357824 1387200 1395750 1408875 1414400 1429248 1442688 1451580 1479680 1488800 1502800 1518576 1536000 1548352 1581850 1597440 1613487 1632000 1645124 1664000 1697280 1734000 1740800 1768000 1775616 1786560 1803360 1810432 1814475 1849600 1861000 1878500 1898220 1905664 1923584 1935440 1996800 2024768 2056405 2088960 2121600 2151316 2176000 2219520 2233200 2254200 2263040 2312000 2322528 2367488 2372775 2382080 2404480 2419300 2467686 2496000 2530960 2611200 2652000 2662400 2689145 2715648 2774400 2791500 2817750 2828800 2858496 2885376 2903160 2959360 2977600 3005600 3024125 3037152 3072000 3096704 3163700 3226974 3264000 3290248 3328000 3394560 3468000 3481600 3536000 3551232 3573120 3606720 3628950 3699200 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221952000 223736864 226304000 228679680 230830080 232252800 238208000 240448000 242972160 246768600 247736320 253096000 258157920 259170304 263219840 268914500 275368448 279671080 285849600 288537600 290316000 295936000 297283584 303715200 308460750 309670400 315863808 322697400 323962880 329024800 335605296 339456000 344210560 349588850 357312000 360672000 371604480 379644000 381132800 384716800 387088000 388755456 394829760 403371750 404953600 411281000 413052672 419506620 421151744 430263200 443904000 447473728 461660160 464505600 476416000 480896000 485944320 493537200 495472640 506192000 516315840 524383275 526439680 537829000 550736896 559342160 571699200 577075200 580632000 594567168 607430400 616921500 619340800 631727616 645394800 647925760 658049600 671210592 678912000 688421120 699177700 714624000 721344000 743208960 759288000 769433600 774176000 777510912 789659520 806743500 809907200 822562000 826105344 839013240 842303488 860526400 873972125 887808000 894947456 929011200 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4859443200 4935372000 4954726400 5053820928 5163158400 5243832750 5264396800 5369684736 5507368960 5593421600 5716992000 5770752000 6074304000 6193408000 6317276160 6453948000 6479257600 6580496000 6608842752 6712105920 6884211200 6991777000 7159579648 7432089600 7896595200 8099072000 8261053440 8390132400 8423034880 8605264000 8949474560 9290112000 9718886400 9870744000 10107641856 10326316800 10487665500 10528793600 10739369472 11014737920 11186843200 11541504000 12148608000 12386816000 12634552320 12907896000 13160992000 13217685504 13424211840 13768422400 13983554000 14319159296 14864179200 15793190400 16198144000 16522106880 16780264800 16846069760 17210528000 17898949120 18580224000 19437772800 19741488000 20652633600 20975331000 21057587200 21478738944 22029475840 22373686400 24297216000 24773632000 25269104640 25815792000 26321984000 26848423680 27536844800 27967108000 28638318592 31586380800 32396288000 33044213760 33560529600 34421056000 35797898240 37160448000 39482976000 41305267200 41950662000 42115174400 42957477888 44747372800 48594432000 50538209280 51631584000 52643968000 53696847360 55073689600 55934216000 57276637184 63172761600 66088427520 67121059200 68842112000 71595796480 74320896000 78965952000 82610534400 83901324000 84230348800 85914955776 89494745600 97188864000 103263168000 105287936000 107393694720 110147379200 111868432000 126345523200 134242118400 137684224000 143191592960 157931904000 165221068800 167802648000 171829911552 178989491200 206526336000 210575872000 214787389440 223736864000 252691046400 268484236800 275368448000 286383185920 315863808000 330442137600 335605296000 357978982400 413052672000 421151744000 429574778880 447473728000 536968473600 550736896000 631727616000 671210592000 715957964800 826105344000 859149557760 894947456000 1073936947200 1263455232000 1342421184000 1431915929600 1652210688000 1789894912000 2147873894400 2684842368000 3579789824000 4295747788800 5369684736000 7159579648000 10739369472000 21478738944000
- Sum of all divisors σ(n): 81813337324992
- Sum of proper divisors (its aliquot sum) s(n): 60334598380992
- 21478738944000 is an abundant number, because the sum of its proper divisors (60334598380992) is greater than itself. Its abundance is 38855859436992
Bases of 21478738944000
- Binary: 1001110001000111010001001101011100000000000002
- Hexadecimal: 0x1388E89AE000
- Base-36: 7M372LP1C
Squares and roots of 21478738944000
- 21478738944000 squared (214787389440002) is 461336226624502235136000000
- 21478738944000 cubed (214787389440003) is 9908920377077705822430648336384000000000
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The
square root of 21478738944000 is 4634516.0420479721 -
The
cube root of 21478738944000 is 27797.3199907713
Scales and comparisons
How big is 21478738944000?- 21,478,738,944,000 seconds is equal to 682,957 years, 23 weeks, 6 days, 13 hours, 20 minutes.
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To count from 1 to 21,478,738,944,000 would take you about one million, seven hundred seven thousand, three hundred ninety-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 21478738944000 cubic inches would be around 2316.4 feet tall.
Recreational maths with 21478738944000
- 21478738944000 backwards is 00044983787412
- The number of decimal digits it has is: 14
- The sum of 21478738944000's digits is 57
- More coming soon!
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The information we have on file for 21478738944000 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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