14213814904800

Names of 14213814904800

• Cardinal: 14213814904800 can be written as Fourteen trillion, two hundred thirteen billion, eight hundred fourteen million, nine hundred four thousand, eight hundred.

Scientific notation

• Scientific notation: 1.42138149048 × 10¹³

Factors of 14213814904800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 45463

Divisors of 14213814904800

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 70 72 75 80 84 90 96 98 100 105 112 120 126 127 140 144 147 150 160 168 175 180 196 200 210 224 225 240 245 252 254 280 288 294 300 315 336 343 350 360 381 392 400 420 441 450 480 490 504 508 525 560 588 600 630 635 672 686 700 720 735 762 784 800 840 882 889 900 980 1008 1016 1029 1050 1120 1143 1176 1200 1225 1260 1270 1372 1400 1440 1470 1524 1568 1575 1680 1715 1764 1778 1800 1905 1960 2016 2032 2058 2100 2205 2286 2352 2400 2450 2520 2540 2667 2744 2800 2940 3048 3087 3150 3175 3360 3430 3528 3556 3600 3675 3810 3920 4064 4116 4200 4410 4445 4572 4704 4900 5040 5080 5145 5334 5488 5600 5715 5880 6096 6174 6223 6300 6350 6860 7056 7112 7200 7350 7620 7840 8001 8232 8400 8575 8820 8890 9144 9525 9800 10080 10160 10290 10668 10976 11025 11430 11760 12192 12348 12446 12600 12700 13335 13720 14112 14224 14700 15240 15435 16002 16464 16800 17150 17640 17780 18288 18669 19050 19600 20320 20580 21336 22050 22225 22860 23520 24696 24892 25200 25400 25725 26670 27440 28448 28575 29400 30480 30870 31115 32004 32928 34300 35280 35560 36576 37338 38100 39200 40005 41160 42672 43561 44100 44450 45319 45720 49392 49784 50400 50800 51450 53340 54880 56007 57150 58800 60960 61740 62230 64008 66675 68600 70560 71120 74676 76200 77175 80010 82320 85344 87122 88200 88900 90638 91440 93345 98784 99568 101600 102900 106680 112014 114300 117600 123480 124460 128016 130683 133350 135957 137200 142240 149352 152400 154350 155575 160020 164640 174244 176400 177800 181276 182880 186690 199136 200025 205800 213360 217805 224028 226595 228600 246960 248920 256032 261366 266700 271914 274400 280035 298704 304800 308700 311150 317233 320040 348488 352800 355600 362552 373380 392049 400050 407871 411600 426720 435610 448056 453190 457200 466725 493920 497840 522732 533400 543828 560070 597408 617400 622300 634466 640080 653415 679785 696976 711200 725104 746760 784098 800100 815742 823200 871220 896112 906380 914400 933450 951699 995680 1045464 1066800 1087656 1089025 1120140 1132975 1234800 1244600 1268932 1280160 1306830 1359570 1393952 1400175 1450208 1493520 1568196 1586165 1600200 1631484 1742440 1792224 1812760 1866900 1903398 1960245 2039355 2090928 2133600 2175312 2178050 2220631 2240280 2265950 2469600 2489200 2537864 2613660 2719140 2800350 2855097 2987040 3136392 3172330 3200400 3262968 3267075 3398925 3484880 3625520 3733800 3806796 3920490 4078710 4181856 4350624 4356100 4441262 4480560 4531900 4758495 4978400 5075728 5227320 5438280 5600700 5710194 5755513 6272784 6344660 6400800 6525936 6534150 6661893 6797850 6969760 7251040 7467600 7613592 7840980 7930825 8157420 8712200 8882524 8961120 9063800 9516990 9801225 10151456 10196775 10454640 10876560 11103155 11201400 11420388 11511026 12545568 12689320 13051872 13068300 13323786 13595700 14275485 14935200 15227184 15544417 15681960 15861650 16314840 17266539 17424400 17765048 18127600 19033980 19602450 19985679 20393550 20909280 21753120 22206310 22402800 22840776 23022052 23792475 25378640 26136600 26647572 27191400 28550970 28777565 30454368 31088834 31363920 31723300 32629680 33309465 34533078 34848800 35530096 36255200 38067960 39204900 39971358 40288591 40787100 44412620 44805600 45681552 46044104 46633251 47584950 50757280 51799617 52273200 53295144 54382800 55515775 57101940 57555130 62177668 62727840 63446600 65259360 66618930 69066156 71060192 71377425 76135920 77722085 78409800 79942716 80577182 81574200 86332695 88825240 91363104 92088208 93266502 95169900 99928395 103599234 104546400 106590288 108765600 111031550 114203880 115110260 120865773 124355336 126893200 133237860 138132312 139899753 142754850 143887825 152271840 155444170 156819600 159885432 161154364 163148400 166547325 172665390 177650480 184176416 186533004 190339800 199856790 201442955 207198468 213180576 222063100 228407760 230220520 233166255 241731546 248710672 253786400 258998085 266475720 276264624 279799506 282020137 285509700 287775650 310888340 313639200 319770864 322308728 326296800 333094650 345330780 355300960 362597319 373066008 380679600 388610425 399713580 402885910 414396936 431663475 444126200 456815520 460441040 466332510 483463092 497421344 499641975 517996170 532951440 552529248 559599012 564040274 571019400 575551300 604328865 621776680 639541728 644617456 666189300 690661560 699498765 725194638 746132016 761359200 777220850 799427160 805771820 828793872 846060411 863326950 888252400 920882080 932665020 966926184 999283950 1007214775 1035992340 1065902880 1119198024 1128080548 1142038800 1151102600 1165831275 1208657730 1243553360 1289234912 1294990425 1332378600 1381323120 1398997530 1410100685 1450389276 1492264032 1554441700 1598854320 1611543640 1657587744 1692120822 1726653900 1776504800 1812986595 1865330040 1933852368 1974140959 1998567900 2014429550 2071984680 2238396048 2256161096 2284077600 2302205200 2331662550 2417315460 2487106720 2538181233 2589980850 2664757200 2762646240 2797995060 2820201370 2900778552 3021644325 3108883400 3197708640 3223087280 3384241644 3453307800 3497493825 3625973190 3730660080 3867704736 3948281918 3997135800 4028859100 4143969360 4230302055 4476792096 4512322192 4604410400 4663325100 4834630920 5076362466 5179961700 5329514400 5595990120 5640402740 5801557104 5922422877 6043288650 6217766800 6446174560 6768483288 6906615600 6994987650 7050503425 7251946380 7461320160 7896563836 7994271600 8057718200 8287938720 8460604110 9024644384 9064932975 9326650200 9669261840 9870704795 10152724932 10359923400 11191980240 11280805480 11603114208 11844845754 12086577300 12435533600 12690906165 13536966576 13813231200 13989975300 14101006850 14503892760 15793127672 15988543200 16115436400 16921208220 17767268631 18129865950 18653300400 19338523680 19741409590 20305449864 20719846800 21151510275 22383960480 22561610960 23689691508 24173154600 25381812330 27073933152 27979950600 28202013700 29007785520 29612114385 31586255344 32230872800 33842416440 35534537262 36259731900 37306600800 39482819180 40610899728 41439693600 42303020550 45123221920 47379383016 48346309200 49353523975 50763624660 55959901200 56404027400 58015571040 59224228770 63172510688 63454530825 67684832880 71069074524 72519463800 78965638360 81221799456 84606041100 88836343155 94758766032 96692618400 98707047950 101527249320 111919802400 112808054800 118448457540 126909061650 135369665760 142138149048 145038927600 148060571925 157931276720 169212082200 177672686310 189517532064 197414095900 203054498640 225616109600 236896915080 253818123300 284276298096 290077855200 296121143850 315862553440 338424164400 355345372620 394828191800 406108997280 444181715775 473793830160 507636246600 568552596192 592242287700 676848328800 710690745240 789656383600 888363431550 947587660320 1015272493200 1184484575400 1421381490480 1579312767200 1776726863100 2030544986400 2368969150800 2842762980960 3553453726200 4737938301600 7106907452400 14213814904800
• Sum of all divisors σ(n): 58912229376000
• Sum of proper divisors (its aliquot sum) s(n): 44698414471200
• 14213814904800 is an abundant number, because the sum of its proper divisors (44698414471200) is greater than itself. Its abundance is 30484599566400

Bases of 14213814904800

• Binary: 11001110110101101001011000110110011111100000₂
• Hexadecimal: 0xCED696367E0
• Base-36: 51DQIEK80

Squares and roots of 14213814904800

• 14213814904800 squared (14213814904800²) is 202032534147914633063040000
• 14213814904800 cubed (14213814904800³) is 2871653045126143979269460829998592000000
• The square root of 14213814904800 is 3770121.3382065039
• The cube root of 14213814904800 is 24223.4995333113

Scales and comparisons

• 14,213,814,904,800 seconds is equal to 451,955 years, 18 weeks, 14 hours.
• To count from 1 to 14,213,814,904,800 would take you about one million, one hundred twenty-nine thousand, eight hundred eighty-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 14213814904800 cubic inches would be around 2018.6 feet tall.

Recreational maths with 14213814904800

• 14213814904800 backwards is 00840941831241
• 14213814904800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 14213814904800's digits is 45
• More coming soon!