14144322304000
14,144,322,304,000 is an even composite number composed of six prime numbers multiplied together.
14144322304000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 14144322304000:
211 × 53 × 7 × 19 × 43 × 9661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 19 × 43 × 9661)See below for interesting mathematical facts about the number 14144322304000 from the Numbermatics database.
Names of 14144322304000
- Cardinal: 14144322304000 can be written as Fourteen trillion, one hundred forty-four billion, three hundred twenty-two million, three hundred four thousand.
Scientific notation
- Scientific notation: 1.4144322304 × 1013
Factors of 14144322304000
Divisors of 14144322304000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 43 50 56 64 70 76 80 86 95 100 112 125 128 133 140 152 160 172 175 190 200 215 224 250 256 266 280 301 304 320 344 350 380 400 430 448 475 500 512 532 560 602 608 640 665 688 700 760 800 817 860 875 896 950 1000 1024 1064 1075 1120 1204 1216 1280 1330 1376 1400 1505 1520 1600 1634 1720 1750 1792 1900 2000 2048 2128 2150 2240 2375 2408 2432 2560 2660 2752 2800 3010 3040 3200 3268 3325 3440 3500 3584 3800 4000 4085 4256 4300 4480 4750 4816 4864 5120 5320 5375 5504 5600 5719 6020 6080 6400 6536 6650 6880 7000 7168 7525 7600 8000 8170 8512 8600 8960 9500 9632 9661 9728 10240 10640 10750 11008 11200 11438 12040 12160 12800 13072 13300 13760 14000 14336 15050 15200 16000 16340 16625 17024 17200 17920 19000 19264 19322 19456 20425 21280 21500 22016 22400 22876 24080 24320 25600 26144 26600 27520 28000 28595 30100 30400 32000 32680 33250 34048 34400 35840 37625 38000 38528 38644 38912 40850 42560 43000 44032 44800 45752 48160 48305 48640 51200 52288 53200 55040 56000 57190 60200 60800 64000 65360 66500 67627 68096 68800 71680 75250 76000 77056 77288 81700 85120 86000 88064 89600 91504 96320 96610 97280 102125 104576 106400 110080 112000 114380 120400 121600 128000 130720 133000 135254 136192 137600 142975 150500 152000 154112 154576 163400 170240 172000 179200 183008 183559 192640 193220 194560 204250 209152 212800 220160 224000 228760 240800 241525 243200 256000 261440 266000 270508 272384 275200 285950 301000 304000 308224 309152 326800 338135 340480 344000 358400 366016 367118 385280 386440 408500 415423 418304 425600 440320 448000 457520 481600 483050 486400 522880 532000 541016 550400 571900 602000 608000 616448 618304 653600 676270 680960 688000 714875 732032 734236 770560 772880 817000 830846 836608 851200 896000 915040 917795 963200 966100 972800 1045760 1064000 1082032 1100800 1143800 1204000 1207625 1216000 1236608 1284913 1307200 1352540 1361920 1376000 1429750 1464064 1468472 1541120 1545760 1634000 1661692 1673216 1690675 1702400 1792000 1830080 1835590 1926400 1932200 2077115 2091520 2128000 2164064 2201600 2287600 2408000 2415250 2432000 2473216 2569826 2614400 2705080 2752000 2859500 2907961 2928128 2936944 3082240 3091520 3268000 3323384 3381350 3404800 3660160 3671180 3852800 3864400 4154230 4183040 4256000 4328128 4575200 4588975 4816000 4830500 4864000 4946432 5139652 5228800 5410160 5504000 5719000 5815922 5856256 5873888 6183040 6424565 6536000 6646768 6762700 6809600 7320320 7342360 7705600 7728800 7893037 8308460 8366080 8453375 8512000 8656256 9150400 9177950 9632000 9661000 9892864 10279304 10385575 10457600 10820320 11008000 11438000 11631844 11712512 11747776 12366080 12849130 13072000 13293536 13525400 14539805 14640640 14684720 15411200 15457600 15786074 16616920 16906750 17024000 17312512 18300800 18355900 19264000 19322000 19785728 20558608 20771150 20915200 21640640 22876000 22944875 23263688 23495552 24732160 25698260 26144000 26587072 27050800 29079610 29281280 29369440 30915200 31572148 32122825 33233840 33813500 34048000 34625024 36601600 36711800 38528000 38644000 39465185 41117216 41542300 41830400 43281280 45752000 45889750 46527376 46991104 49464320 51396520 51927875 52288000 53174144 54101600 55251259 58159220 58562560 58738880 61830400 63144296 64245650 66467680 67627000 69250048 72699025 73203200 73423600 77056000 77288000 78930370 82234432 83084600 86562560 91504000 91779500 93054752 93982208 98928640 102793040 103855750 104576000 106348288 108203200 110502518 116318440 117477760 123660800 126288592 128491300 132935360 135254000 138500096 145398050 146406400 146847200 154576000 157860740 160614125 164468864 166169200 173125120 183008000 183559000 186109504 187964416 197325925 205586080 207711500 209152000 212696576 216406400 221005036 232636880 234955520 247321600 252577184 256982600 265870720 270508000 276256295 290796100 292812800 293694400 309152000 315721480 321228250 328937728 332338400 346250240 363495125 366016000 367118000 372219008 375928832 394651850 411172160 415423000 425393152 432812800 442010072 465273760 469911040 494643200 505154368 513965200 531741440 541016000 552512590 581592200 587388800 618304000 631442960 642456500 657875456 664676800 692500480 726990250 732032000 734236000 744438016 789303700 822344320 830846000 850786304 865625600 884020144 930547520 939822080 986629625 1010308736 1027930400 1063482880 1082032000 1105025180 1163184400 1174777600 1236608000 1262885920 1284913000 1315750912 1329353600 1381281475 1453980500 1464064000 1468472000 1488876032 1578607400 1644688640 1661692000 1731251200 1768040288 1861095040 1879644160 1973259250 2020617472 2055860800 2126965760 2164064000 2210050360 2326368800 2349555200 2473216000 2525771840 2569826000 2631501824 2658707200 2762562950 2907961000 2936944000 2977752064 3157214800 3289377280 3323384000 3462502400 3536080576 3722190080 3946518500 4041234944 4111721600 4253931520 4328128000 4420100720 4652737600 4699110400 5051543680 5139652000 5317414400 5525125900 5815922000 5873888000 5955504128 6314429600 6578754560 6646768000 6906407375 7072161152 7444380160 7893037000 8082469888 8223443200 8656256000 8840201440 9305475200 9398220800 10103087360 10279304000 10634828800 11050251800 11631844000 11747776000 12628859200 13157509120 13293536000 13812814750 14144322304 14888760320 15786074000 16164939776 16446886400 17312512000 17680402880 18610950400 20206174720 20558608000 21269657600 22100503600 23263688000 23495552000 25257718400 26587072000 27625629500 28288644608 29777520640 31572148000 32893772800 35360805760 37221900800 40412349440 41117216000 44201007200 46527376000 46991104000 50515436800 53174144000 55251259000 56577289216 63144296000 65787545600 70721611520 74443801600 80824698880 82234432000 88402014400 93054752000 101030873600 106348288000 110502518000 113154578432 126288592000 141443223040 148887603200 164468864000 176804028800 186109504000 202061747200 221005036000 252577184000 282886446080 328937728000 353608057600 372219008000 404123494400 442010072000 505154368000 565772892160 707216115200 744438016000 884020144000 1010308736000 1414432230400 1768040288000 2020617472000 2828864460800 3536080576000 7072161152000 14144322304000
- Sum of all divisors σ(n): 43452843033600
- Sum of proper divisors (its aliquot sum) s(n): 29308520729600
- 14144322304000 is an abundant number, because the sum of its proper divisors (29308520729600) is greater than itself. Its abundance is 15164198425600
Bases of 14144322304000
- Binary: 110011011101001110110100111001111000000000002
- Hexadecimal: 0xCDD3B4E7800
- Base-36: 50HT8AY9S
Squares and roots of 14144322304000
- 14144322304000 squared (141443223040002) is 200061853439431868416000000
- 14144322304000 cubed (141443223040003) is 2829739335782935289524821950464000000000
-
The
square root of 14144322304000 is 3760893.8171663395 -
The
cube root of 14144322304000 is 24183.9580772065
Scales and comparisons
How big is 14144322304000?- 14,144,322,304,000 seconds is equal to 449,745 years, 36 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 14,144,322,304,000 would take you about one million, one hundred twenty-four thousand, three hundred sixty-four 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 14144322304000 cubic inches would be around 2015.3 feet tall.
Recreational maths with 14144322304000
- 14144322304000 backwards is 00040322344141
- 14144322304000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 14144322304000's digits is 28
- More coming soon!
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