21209894913446400

Names of 21209894913446400

• Cardinal: 21209894913446400 can be written as Twenty-one quadrillion, two hundred nine trillion, eight hundred ninety-four billion, nine hundred thirteen million, four hundred forty-six thousand, four hundred.

Scientific notation

• Scientific notation: 2.12098949134464 × 10¹⁶

Factors of 21209894913446400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 184791317

Divisors of 21209894913446400

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 61 64 70 75 80 84 96 98 100 105 112 120 122 128 140 147 150 160 168 175 183 192 196 200 210 224 240 244 245 256 280 294 300 305 320 336 350 366 384 392 400 420 427 448 480 488 490 512 525 560 588 600 610 640 672 700 732 735 768 784 800 840 854 896 915 960 976 980 1050 1120 1176 1200 1220 1225 1280 1281 1344 1400 1464 1470 1525 1536 1568 1600 1680 1708 1792 1830 1920 1952 1960 2100 2135 2240 2352 2400 2440 2450 2560 2562 2688 2800 2928 2940 2989 3050 3136 3200 3360 3416 3584 3660 3675 3840 3904 3920 4200 4270 4480 4575 4704 4800 4880 4900 5124 5376 5600 5856 5880 5978 6100 6272 6400 6405 6720 6832 7320 7350 7680 7808 7840 8400 8540 8960 8967 9150 9408 9600 9760 9800 10248 10675 10752 11200 11712 11760 11956 12200 12544 12800 12810 13440 13664 14640 14700 14945 15616 15680 16800 17080 17920 17934 18300 18816 19200 19520 19600 20496 21350 22400 23424 23520 23912 24400 25088 25620 26880 27328 29280 29400 29890 31232 31360 32025 33600 34160 35868 36600 37632 38400 39040 39200 40992 42700 44800 44835 46848 47040 47824 48800 51240 53760 54656 58560 58800 59780 62720 64050 67200 68320 71736 73200 74725 75264 78080 78400 81984 85400 89600 89670 93696 94080 95648 97600 102480 109312 117120 117600 119560 125440 128100 134400 136640 143472 146400 149450 156160 156800 163968 170800 179340 188160 191296 195200 204960 218624 224175 234240 235200 239120 256200 268800 273280 286944 292800 298900 313600 327936 341600 358680 376320 382592 390400 409920 448350 468480 470400 478240 512400 546560 573888 585600 597800 627200 655872 683200 717360 765184 780800 819840 896700 940800 956480 1024800 1093120 1147776 1171200 1195600 1366400 1434720 1530368 1639680 1793400 1881600 1912960 2049600 2295552 2342400 2391200 2732800 2869440 3279360 3586800 3825920 4099200 4591104 4782400 5465600 5738880 7173600 7651840 8198400 9564800 11477760 14347200 16396800 19129600 22955520 28694400 38259200 57388800 114777600 184791239 369582478 554373717 739164956 923956195 1108747434 1293538673 1478329912 1847912390 2217494868 2587077346 2771868585 2956659824 3695824780 3880616019 4434989736 4619780975 5174154692 5543737170 5913319648 6467693365 7391649560 7761232038 8869979472 9054770711 9239561950 10348309384 11087474340 11272265579 11826639296 12935386730 13859342925 14783299120 15522464076 17739958944 18109541422 18479123900 19403080095 20696618768 22174948680 22544531158 23653278592 25870773460 27164312133 27718685850 29566598240 31044928152 32338466825 33816796737 35479917888 36219082844 36958247800 38806160190 41393237536 44349897360 45089062316 45273853555 47306557184 51741546920 54328624266 55437371700 56361327895 59133196480 62089856304 64676933650 67633593474 70959835776 72438165688 73916495600 77612320380 78905859053 82786475072 88699794720 90178124632 90547707110 94613114368 97015400475 103483093840 108657248532 110874743400 112722655790 118266392960 124179712608 129353867300 135267186948 135821560665 141919671552 144876331376 147832991200 155224640760 157811718106 165572950144 169083983685 177399589440 180356249264 181095414220 194030800950 206966187680 217314497064 221749486800 225445311580 226369267775 236532785920 236717577159 248359425216 258707734600 270534373896 271643121330 281806639475 283839343104 289752662752 295665982400 310449281520 315623436212 331145900288 338167967370 354799178880 360712498528 362190828440 388061601900 394529295265 413932375360 434628994128 443498973600 450890623160 452738535550 473065571840 473435154318 496718850432 517415469200 541068747792 543286242660 552341013371 563613278950 579505325504 591331964800 620898563040 631246872424 662291800576 676335934740 679107803325 709598357760 721424997056 724381656880 776123203800 789058590530 827864750720 845419918425 869257988256 886997947200 901781246320 905477071100 946870308636 993437700864 1034830938400 1082137495584 1086572485320 1104682026742 1127226557900 1159010651008 1182663929600 1183587885795 1241797126080 1262493744848 1352671869480 1358215606650 1419196715520 1442849994112 1448763313760 1552246407600 1578117181060 1655729501440 1657023040113 1690839836850 1738515976512 1773995894400 1803562492640 1810954142200 1893740617272 1972646476325 1986875401728 2069661876800 2164274991168 2173144970640 2209364053484 2254453115800 2318021302016 2365327859200 2367175771590 2483594252160 2524987489696 2705343738960 2716431213300 2761705066855 2885699988224 2897526627520 3104492815200 3156234362120 3311459002880 3314046080226 3381679673700 3477031953024 3547991788800 3607124985280 3621908284400 3787481234544 3945292952650 4139323753600 4328549982336 4346289941280 4418728106968 4508906231600 4636042604032 4734351543180 4967188504320 5049974979392 5410687477920 5432862426600 5523410133710 5771399976448 5795053255040 5917939428975 6208985630400 6312468724240 6628092160452 6763359347400 6954063906048 7095983577600 7214249970560 7243816568800 7574962469088 7890585905300 8278647507200 8285115200565 8657099964672 8692579882560 8837456213936 9017812463200 9468703086360 9934377008640 10099949958784 10821374955840 10865724853200 11046820267420 11590106510080 11835878857950 12417971260800 12624937448480 13256184320904 13526718694800 13808525334275 13908127812096 14428499941120 14487633137600 15149924938176 15781171810600 16557295014400 16570230401130 17314199929344 17385159765120 17674912427872 18035624926400 18937406172720 20199899917568 21642749911680 21731449706400 22093640534840 23180213020160 23671757715900 24835942521600 25249874896960 26512368641808 27053437389600 27617050668550 28856999882240 28975266275200 30299849876352 31562343621200 33140460802260 34770319530240 35349824855744 36071249852800 37874812345440 40399799835136 41425576002825 43285499823360 43462899412800 44187281069680 47343515431800 49671885043200 50499749793920 53024737283616 54106874779200 55234101337100 57950532550400 60599699752704 63124687242400 66280921604520 69540639060480 70699649711488 72142499705600 75749624690880 82851152005650 86570999646720 86925798825600 88374562139360 94687030863600 100999499587840 106049474567232 108213749558400 110468202674200 115901065100800 121199399505408 126249374484800 132561843209040 141399299422976 144284999411200 151499249381760 165702304011300 173851597651200 176749124278720 189374061727200 201998999175680 212098949134464 216427499116800 220936405348400 252498748969600 265123686418080 282798598845952 302998498763520 331404608022600 347703195302400 353498248557440 378748123454400 424197898268928 432854998233600 441872810696800 504997497939200 530247372836160 605996997527040 662809216045200 706996497114880 757496246908800 848395796537856 883745621393600 1009994995878400 1060494745672320 1325618432090400 1413992994229760 1514992493817600 1767491242787200 2120989491344640 2651236864180800 3029984987635200 3534982485574400 4241978982689280 5302473728361600 7069964971148800 10604947456723200 21209894913446400
• Sum of all divisors σ(n): 82840983022480320
• Sum of proper divisors (its aliquot sum) s(n): 61631088109033920
• 21209894913446400 is an abundant number, because the sum of its proper divisors (61631088109033920) is greater than itself. Its abundance is 40421193195587520

Bases of 21209894913446400

• Binary: 1001011010110100100100101111100000010100001001000000000₂
• Hexadecimal: 0x4B5A497C0A1200
• Base-36: 5SUA37K7H1C

Squares and roots of 21209894913446400

• 21209894913446400 squared (21209894913446400²) is 449859642239439471747525672960000
• 21209894913446400 cubed (21209894913446400³) is 9541475737699104524084937771439301112889344000000
• The square root of 21209894913446400 is 145636173.0939343243
• The cube root of 21209894913446400 is 276808.5533187847

Scales and comparisons

• 21,209,894,913,446,400 seconds is equal to 674,409,051 years, 38 weeks, 1 day, 13 hours, 20 minutes.
• To count from 1 to 21,209,894,913,446,400 would take you about two billion, twenty-three million, two hundred twenty-seven thousand, one hundred fifty-five 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 21209894913446400 cubic inches would be around 23067.4 feet tall.

Recreational maths with 21209894913446400

• 21209894913446400 backwards is 00464431949890212
• The number of decimal digits it has is: 17
• The sum of 21209894913446400's digits is 66
• More coming soon!