422131728384000
422,131,728,384,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 422131728384000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
422131728384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 422131728384000:
219 × 32 × 53 × 23 × 292 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 23 × 29 × 29 × 37)See below for interesting mathematical facts about the number 422131728384000 from the Numbermatics database.
Names of 422131728384000
- Cardinal: 422131728384000 can be written as Four hundred twenty-two trillion, one hundred thirty-one billion, seven hundred twenty-eight million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 4.22131728384 × 1014
Factors of 422131728384000
Divisors of 422131728384000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 29 30 32 36 37 40 45 46 48 50 58 60 64 69 72 74 75 80 87 90 92 96 100 111 115 116 120 125 128 138 144 145 148 150 160 174 180 184 185 192 200 207 222 225 230 232 240 250 256 261 276 288 290 296 300 320 333 345 348 360 368 370 375 384 400 414 435 444 450 460 464 480 500 512 522 552 555 575 576 580 592 600 640 666 667 690 696 720 725 736 740 750 768 800 828 841 851 870 888 900 920 925 928 960 1000 1024 1035 1044 1073 1104 1110 1125 1150 1152 1160 1184 1200 1280 1305 1332 1334 1380 1392 1440 1450 1472 1480 1500 1536 1600 1656 1665 1682 1702 1725 1740 1776 1800 1840 1850 1856 1920 2000 2001 2048 2070 2088 2146 2175 2208 2220 2250 2300 2304 2320 2368 2400 2523 2553 2560 2610 2664 2668 2760 2775 2784 2875 2880 2900 2944 2960 3000 3072 3200 3219 3312 3330 3335 3364 3404 3450 3480 3552 3600 3625 3680 3700 3712 3840 4000 4002 4096 4140 4176 4205 4255 4292 4350 4416 4440 4500 4600 4608 4625 4640 4736 4800 5046 5106 5120 5175 5220 5328 5336 5365 5520 5550 5568 5750 5760 5800 5888 5920 6000 6003 6144 6400 6438 6525 6624 6660 6670 6728 6808 6900 6960 7104 7200 7250 7360 7400 7424 7569 7659 7680 8000 8004 8192 8280 8325 8352 8410 8510 8584 8625 8700 8832 8880 9000 9200 9216 9250 9280 9472 9600 9657 10005 10092 10212 10240 10350 10440 10656 10672 10730 10875 11040 11100 11136 11500 11520 11600 11776 11840 12000 12006 12288 12615 12765 12800 12876 13050 13248 13320 13340 13456 13616 13800 13875 13920 14208 14400 14500 14720 14800 14848 15138 15318 15360 16000 16008 16095 16384 16560 16650 16675 16704 16820 17020 17168 17250 17400 17664 17760 18000 18400 18432 18500 18560 18944 19200 19314 19343 20010 20184 20424 20480 20700 20880 21025 21275 21312 21344 21460 21750 22080 22200 22272 23000 23040 23200 23552 23680 24000 24012 24576 24679 25230 25530 25600 25752 25875 26100 26496 26640 26680 26825 26912 27232 27600 27750 27840 28416 28800 29000 29440 29600 29696 30015 30276 30636 30720 31117 32000 32016 32190 32625 32768 33120 33300 33350 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57354854400 58225065984 58629406720 59421696000 60651110400 61178511360 62005248000 62742528000 63288115200 63383142400 63727616000 64694517760 65568768000 65958082560 68706336000 70320128000 70355288064 71306035200 71693568000 72781332480 73286758400 73414213632 75813888000 76059770880 76473139200 78682521600 79110144000 79228928000 80868147200 81571348480 82447603200 82673664000 83656704000 87944110080 89132544000 90976665600 91271725056 91608448000 91767767040 93807050752 95074713600 95591424000 97041776640 98353152000 99208396800 100388044800 101085184000 101964185600 103059504000 105480192000 105532932096 109930137600 113720832000 114089656320 114709708800 116450131968 117258813440 118843392000 121302220800 122357022720 124010496000 125485056000 126576230400 126766284800 127455232000 131137536000 131916165120 137412672000 140710576128 142612070400 143387136000 145562664960 146573516800 146828427264 151627776000 152119541760 152946278400 158220288000 158457856000 161736294400 164895206400 165347328000 167313408000 175888220160 178265088000 181953331200 183216896000 183535534080 187614101504 190149427200 191182848000 194083553280 196706304000 202170368000 203928371200 206119008000 210960384000 211065864192 219860275200 227441664000 228179312640 229419417600 234517626880 237686784000 242604441600 244714045440 248020992000 250970112000 253532569600 254910464000 263832330240 274825344000 281421152256 285224140800 286774272000 291125329920 293147033600 303255552000 305892556800 316440576000 316915712000 323472588800 329790412800 351776440320 356530176000 363906662400 366433792000 367071068160 375228203008 380298854400 382365696000 393412608000 404340736000 407856742400 412238016000 422131728384 439720550400 454883328000 456358625280 458838835200 469035253760 475373568000 485208883200 496041984000 501940224000 509820928000 527664660480 549650688000 562842304512 570448281600 573548544000 582250659840 586294067200 606511104000 611785113600 632881152000 633831424000 659580825600 703552880640 713060352000 727813324800 732867584000 734142136320 760597708800 764731392000 808681472000 824476032000 844263456768 879441100800 909766656000 917677670400 938070507520 950747136000 970417766400 1019641856000 1055329320960 1099301376000 1125684609024 1140896563200 1147097088000 1172588134400 1213022208000 1223570227200 1267662848000 1319161651200 1407105761280 1426120704000 1455626649600 1465735168000 1529462784000 1617362944000 1648952064000 1688526913536 1758882201600 1819533312000 1835355340800 1876141015040 1901494272000 2039283712000 2110658641920 2198602752000 2281793126400 2294194176000 2345176268800 2426044416000 2638323302400 2814211522560 2852241408000 2911253299200 2931470336000 3058925568000 3297904128000 3377053827072 3517764403200 3639066624000 3670710681600 3802988544000 4221317283840 4397205504000 4588388352000 4690352537600 4852088832000 5276646604800 5628423045120 5704482816000 5862940672000 6117851136000 6595808256000 7035528806400 7278133248000 8442634567680 8794411008000 9176776704000 9380705075200 10553293209600 11408965632000 11725881344000 13191616512000 14071057612800 14556266496000 16885269135360 17588822016000 18353553408000 21106586419200 23451762688000 26383233024000 28142115225600 35177644032000 42213172838400 46903525376000 52766466048000 70355288064000 84426345676800 105532932096000 140710576128000 211065864192000 422131728384000
- Sum of all divisors σ(n): 1689197550955200
- Sum of proper divisors (its aliquot sum) s(n): 1267065822571200
- 422131728384000 is an abundant number, because the sum of its proper divisors (1267065822571200) is greater than itself. Its abundance is 844934094187200
Bases of 422131728384000
- Binary: 10111111111101101001100111011100000000000000000002
- Hexadecimal: 0x17FED33B80000
- Base-36: 45MSMZYM80
Squares and roots of 422131728384000
- 422131728384000 squared (4221317283840002) is 178195196108463151251456000000
- 422131728384000 cubed (4221317283840003) is 75221846122991380767752333876527104000000000
-
The
square root of 422131728384000 is 20545844.5527070023 -
The
cube root of 422131728384000 is 75015.2104488881
Scales and comparisons
How big is 422131728384000?- 422,131,728,384,000 seconds is equal to 13,422,483 years, 11 weeks, 4 days, 8 hours.
-
To count from 1 to 422,131,728,384,000 would take you about thirty-three million, five hundred fifty-six thousand, two hundred 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 422131728384000 cubic inches would be around 6251.3 feet tall.
Recreational maths with 422131728384000
- 422131728384000 backwards is 000483827131224
- 422131728384000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 422131728384000's digits is 45
- More coming soon!
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"Number 422131728384000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 422131728384000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/422131728384000/
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The information we have on file for 422131728384000 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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