21223812136800
21,223,812,136,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 21223812136800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
21223812136800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 21223812136800:
25 × 3 × 52 × 72 × 132 × 53 × 20149
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 53 × 20149)See below for interesting mathematical facts about the number 21223812136800 from the Numbermatics database.
Names of 21223812136800
- Cardinal: 21223812136800 can be written as Twenty-one trillion, two hundred twenty-three billion, eight hundred twelve million, one hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 2.12238121368 × 1013
Factors of 21223812136800
Divisors of 21223812136800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 53 56 60 65 70 75 78 80 84 91 96 98 100 104 105 106 112 120 130 140 147 150 156 159 160 168 169 175 182 195 196 200 208 210 212 224 240 245 260 265 273 280 294 300 312 318 325 336 338 350 364 371 390 392 400 416 420 424 455 480 490 507 520 525 530 546 560 588 600 624 636 637 650 672 676 689 700 728 735 742 780 784 795 800 840 845 848 910 975 980 1014 1040 1050 1060 1092 1113 1120 1176 1183 1200 1225 1248 1272 1274 1300 1325 1352 1365 1378 1400 1456 1470 1484 1560 1568 1590 1680 1690 1696 1820 1855 1911 1950 1960 2028 2067 2080 2100 2120 2184 2226 2275 2352 2366 2400 2450 2535 2544 2548 2597 2600 2650 2704 2730 2756 2800 2912 2940 2968 3120 3180 3185 3360 3380 3445 3549 3640 3675 3710 3822 3900 3920 3975 4056 4134 4200 4225 4240 4368 4452 4550 4704 4732 4823 4900 5070 5088 5096 5194 5200 5300 5408 5460 5512 5565 5600 5880 5915 5936 6240 6360 6370 6760 6825 6890 7098 7280 7350 7420 7644 7791 7800 7840 7950 8112 8268 8281 8400 8450 8480 8736 8904 8957 9100 9275 9464 9555 9646 9800 10140 10192 10335 10388 10400 10600 10920 11024 11130 11760 11830 11872 12675 12720 12740 12985 13520 13650 13780 14196 14469 14560 14700 14840 15288 15582 15600 15900 15925 16224 16536 16562 16800 16900 17225 17745 17808 17914 18200 18550 18928 19110 19292 19600 20149 20280 20384 20670 20776 21200 21840 22048 22260 23520 23660 24115 24843 25350 25440 25480 25970 26871 27040 27300 27560 27825 28392 28938 29400 29575 29680 30576 31164 31200 31800 31850 33072 33124 33761 33800 34450 35490 35616 35828 36400 37100 37856 38220 38584 38955 39200 40298 40560 41340 41405 41552 42400 43680 44520 44785 47320 47775 48230 49686 50700 50960 51675 51940 53742 54600 55120 55650 56784 57876 58800 59150 59360 60447 61152 62328 62699 63600 63700 64925 66144 66248 67522 67600 68900 70980 71656 72345 72800 74200 76440 77168 77910 80596 81120 82680 82810 83104 88725 89040 89570 94640 95550 96460 99372 100745 101283 101400 101920 103350 103880 107484 109200 110240 111300 113568 115752 117600 118300 120575 120894 124215 124656 125398 127200 127400 129850 132496 134355 135044 135200 137800 141043 141960 143312 144690 148400 152880 154336 155820 161192 165360 165620 168805 177450 178080 179140 188097 189280 191100 192920 194775 198744 201490 202566 202800 206700 207025 207760 214968 218400 222600 223925 231504 236600 241150 241788 248430 249312 250796 254800 259700 261937 264992 268710 270088 275600 282086 283920 286624 289380 296800 302235 305760 311640 313495 322384 330720 331240 337610 354900 358280 361725 376194 382200 385840 389550 397488 402980 405132 405600 413400 414050 415520 423129 429936 438893 445200 447850 463008 473200 482300 483576 496860 501592 503725 506415 509600 519400 523874 537420 540176 551200 564172 567840 578760 604470 621075 623280 626990 644768 662480 671775 675220 705215 709800 716560 723450 752388 764400 771680 779100 785811 794976 805960 810264 826800 828100 844025 846258 859872 877786 890400 895700 940485 946400 964600 967152 987301 993720 1003184 1007450 1012830 1038800 1047748 1067897 1074840 1080352 1128344 1157520 1208940 1242150 1246560 1253980 1309685 1316679 1324960 1343550 1350440 1410430 1419600 1433120 1446900 1504776 1511175 1528800 1558200 1567475 1571622 1611920 1620528 1653600 1656200 1688050 1692516 1755572 1791400 1833559 1880970 1929200 1934304 1974602 1987440 2006368 2014900 2025660 2077600 2095496 2115645 2135794 2149680 2194465 2256688 2315040 2417880 2484300 2507960 2532075 2619370 2633358 2687100 2700880 2820860 2839200 2893800 2961903 3009552 3022350 3116400 3134950 3143244 3203691 3223840 3241056 3312400 3376100 3385032 3405181 3511144 3526075 3582800 3667118 3761940 3858400 3929055 3949204 3974880 4029800 4051320 4190992 4231290 4271588 4299360 4388930 4513376 4702425 4835760 4936505 4968600 5015920 5064150 5238740 5266716 5339485 5374200 5401760 5500677 5641720 5787600 5923806 6019104 6044700 6232800 6269900 6286488 6407382 6548425 6583395 6624800 6752200 6770064 6810362 7022288 7052150 7165600 7334236 7475279 7523880 7858110 7898408 8059600 8102640 8381984 8462580 8543176 8777860 9167795 9404850 9671520 9873010 9937200 10031840 10128300 10215543 10477480 10533432 10578225 10678970 10748400 10972325 11001354 11283440 11575200 11847612 12089400 12539800 12572976 12814764 12834913 13096850 13166790 13504400 13540128 13620724 13882661 14044576 14104300 14668472 14809515 14950558 15047760 15716220 15796816 16018455 16119200 16205280 16925160 17025905 17086352 17555720 18335590 18809700 19645275 19746020 19874400 20256600 20431086 20954960 21066864 21156450 21357940 21496800 21944650 22002708 22425837 22566880 23695224 23836267 24178800 24682525 25079600 25145952 25629528 25669826 26193700 26333580 26697425 27008800 27241448 27503385 27765322 28208600 29336944 29619030 29901116 30095520 31432440 31593632 32036910 32916975 33850320 34051810 34172704 35111440 36671180 37376395 37619400 38504739 39290550 39492040 40513200 40862172 41647983 41909920 42133728 42312900 42715880 43889300 44005416 44851674 45838975 47390448 47672534 48357600 49365050 50159200 51077715 51259056 51339652 52326953 52387400 52667160 53394850 54482896 55006770 55530644 56417200 58673888 59238060 59802232 62864880 64073820 64174565 65833950 67700640 68103620 69413305 70222880 71508801 73342360 74047575 74752790 75238800 77009478 78581100 78984080 80092275 81026400 81724344 83295966 84625800 85129525 85431760 87778600 88010832 89703348 91677950 94780896 95345068 97178627 98730100 102155430 102518112 102679304 104653906 104774800 105334320 106789700 108965792 110013540 111061288 112129185 112834400 118476120 119181335 119604464 125729760 128147640 128349130 131667900 136207240 137516925 138826610 143017602 146684720 148095150 149505580 150477600 154018956 156980859 157162200 157968160 160184550 163448688 166591932 166853869 169251600 170259050 170863520 175557200 176021664 179406696 180474593 183355900 186881975 190690136 192523695 194357254 197460200 204310860 205358608 208239915 209307812 209549600 210668640 213579400 220027080 222122576 224258370 236952240 238362670 239208928 255388575 256295280 256698260 261634765 263335800 272414480 275033850 277653220 286035204 291535881 293369440 296190300 299011160 308037912 313961718 314324400 320369100 320872825 326897376 333183864 333707738 338503200 340518100 347066525 351114400 357544005 358813392 360949186 366711800 373763950 381380272 385047390 388714508 394920400 408621720 410717216 416479830 418615624 427158800 440054160 444245152 448516740 473904480 476725340 485893135 500561607 510777150 512590560 513396520 523269530 526671600 541423779 544828960 550067700 555306440 560645925 572070408 583071762 592380600 595906675 598022320 616075824 627923436 628648800 640738200 641745650 666367728 667415476 680250389 681036200 694133050 715088010 717626784 721898372 733423600 747527900 762760544 770094780 777429016 784904295 789840800 817243440 832959660 834269345 837231248 854317600 880108320 897033480 902372965 953450680 962618475 971786270 1001123214 1021554300 1026793040 1041199575 1046539060 1053343200 1082847558 1100135400 1110612880 1121291850 1144140816 1166143524 1184761200 1191813350 1196044640 1232151648 1255846872 1263322151 1281476400 1283491300 1308173825 1332735456 1334830952 1360500778 1362072400 1388266100 1430176020 1443796744 1457679405 1466847200 1495055800 1540189560 1554858032 1569808590 1634486880 1665919320 1668538690 1674462496 1787720025 1794066960 1804745930 1906901360 1925236950 1943572540 2002246428 2040751167 2043108600 2053586080 2082399150 2093078120 2165695116 2200270800 2221225760 2242583700 2288281632 2332287048 2369522400 2383626700 2429465675 2502808035 2511693744 2526644302 2562952800 2566982600 2616347650 2669661904 2707118895 2721001556 2724144800 2776532200 2860352040 2887593488 2915358810 2990111600 3080379120 3109716064 3139617180 3331838640 3337077380 3401251945 3575440050 3588133920 3609491860 3789966453 3813802720 3850473900 3887145080 3924521475 4004492856 4081502334 4086217200 4164798300 4171346725 4186156240 4331390232 4400541600 4485167400 4511864825 4664574096 4767253400 4858931350 5005616070 5023387488 5053288604 5133965200 5232695300 5339323808 5414237790 5442003112 5553064400 5720704080 5775186976 5830717620 5980223200 6160758240 6279234360 6316610755 6663677280 6674154760 6802503890 7150880100 7218983720 7288397025 7579932906 7700947800 7774290160 7849042950 8008985712 8163004668 8172434400 8329596600 8342693450 8372312480 8662780464 8843255057 8970334800 9023729650 9329148192 9534506800 9717862700 10011232140 10106577208 10203755835 10267930400 10465390600 10828475580 10884006224 11106128800 11441408160 11661435240 12514040175 12558468720 12633221510 13348309520 13535594475 13605007780 14301760200 14437967440 14576794050 15159865812 15401895600 15548580320 15698085900 16017971424 16326009336 16659193200 16685386900 17006259725 17325560928 17686510114 17940669600 18047459300 18949832265 19069013600 19435725400 20022464280 20213154416 20407511670 20930781200 21656951160 21768012448 23322870480 25028080350 25116937440 25266443020 26529765171 26696619040 27071188950 27210015560 28603520400 28875934880 29153588100 30319731624 30803791200 31396171800 31583053775 32652018672 33318386400 33370773800 34012519450 35373020228 36094918600 37899664530 38871450800 40044928560 40426308832 40815023340 41861562400 43313902320 44216275285 46645740960 50056160700 50532886040 51018779175 53059530342 54142377900 54420031120 57207040800 58307176200 60639463248 62792343600 63166107550 65304037344 66741547600 68025038900 70746040456 72189837200 75799329060 77742901600 80089857120 81630046680 86627804640 88432550570 94749161325 100112321400 101065772080 102037558350 106119060684 108284755800 108840062240 116614352400 121278926496 125584687200 126332215100 132648825855 133483095200 136050077800 141492080912 144379674400 151598658120 163260093360 176865101140 189498322650 200224642800 202131544160 204075116700 212238121368 216569511600 221081376425 233228704800 252664430200 265297651710 272100155600 282984161824 303197316240 326520186720 353730202280 378996645300 400449285600 408150233400 424476242736 433139023200 442162752850 505328860400 530595303420 544200311200 606394632480 663244129275 707460404560 757993290600 816300466800 848952485472 884325505700 1010657720800 1061190606840 1326488258550 1414920809120 1515986581200 1632600933600 1768651011400 2122381213680 2652976517100 3031973162400 3537302022800 4244762427360 5305953034200 7074604045600 10611906068400 21223812136800
- Sum of all divisors σ(n): 88665974233200
- Sum of proper divisors (its aliquot sum) s(n): 67442162096400
- 21223812136800 is an abundant number, because the sum of its proper divisors (67442162096400) is greater than itself. Its abundance is 46218349959600
Bases of 21223812136800
- Binary: 1001101001101100011011100100001111111011000002
- Hexadecimal: 0x134D8DC87F60
- Base-36: 7IU31RHPC
Squares and roots of 21223812136800
- 21223812136800 squared (212238121368002) is 450450201618178981914240000
- 21223812136800 cubed (212238121368003) is 9560270456127914075866114608748032000000
-
The
square root of 21223812136800 is 4606930.8804018321 -
The
cube root of 21223812136800 is 27686.9084251457
Scales and comparisons
How big is 21223812136800?- 21,223,812,136,800 seconds is equal to 674,851 years, 29 weeks, 6 days, 19 hours, 20 minutes.
-
To count from 1 to 21,223,812,136,800 would take you about one million, six hundred eighty-seven thousand, one hundred twenty-eight 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 21223812136800 cubic inches would be around 2307.2 feet tall.
Recreational maths with 21223812136800
- 21223812136800 backwards is 00863121832212
- 21223812136800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21223812136800's digits is 39
- More coming soon!
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"Number 21223812136800 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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The information we have on file for 21223812136800 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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