6438400128000
6,438,400,128,000 is an even composite number composed of five prime numbers multiplied together.
6438400128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 6438400128000:
210 × 33 × 53 × 127 × 14669
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 127 × 14669)See below for interesting mathematical facts about the number 6438400128000 from the Numbermatics database.
Names of 6438400128000
- Cardinal: 6438400128000 can be written as Six trillion, four hundred thirty-eight billion, four hundred million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 6.438400128 × 1012
Factors of 6438400128000
Divisors of 6438400128000
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 127 128 135 144 150 160 180 192 200 216 225 240 250 254 256 270 288 300 320 360 375 381 384 400 432 450 480 500 508 512 540 576 600 635 640 675 720 750 762 768 800 864 900 960 1000 1016 1024 1080 1125 1143 1152 1200 1270 1280 1350 1440 1500 1524 1536 1600 1728 1800 1905 1920 2000 2032 2160 2250 2286 2304 2400 2540 2560 2700 2880 3000 3048 3072 3175 3200 3375 3429 3456 3600 3810 3840 4000 4064 4320 4500 4572 4608 4800 5080 5120 5400 5715 5760 6000 6096 6350 6400 6750 6858 6912 7200 7620 7680 8000 8128 8640 9000 9144 9216 9525 9600 10160 10800 11430 11520 12000 12192 12700 12800 13500 13716 13824 14400 14669 15240 15360 15875 16000 16256 17145 17280 18000 18288 19050 19200 20320 21600 22860 23040 24000 24384 25400 25600 27000 27432 27648 28575 28800 29338 30480 31750 32000 32512 34290 34560 36000 36576 38100 38400 40640 43200 44007 45720 46080 47625 48000 48768 50800 54000 54864 57150 57600 58676 60960 63500 64000 65024 68580 69120 72000 73152 73345 76200 76800 81280 85725 86400 88014 91440 95250 96000 97536 101600 108000 109728 114300 115200 117352 121920 127000 128000 130048 132021 137160 138240 142875 144000 146304 146690 152400 162560 171450 172800 176028 182880 190500 192000 195072 203200 216000 219456 220035 228600 230400 234704 243840 254000 264042 274320 285750 288000 292608 293380 304800 325120 342900 345600 352056 365760 366725 381000 384000 390144 396063 406400 428625 432000 438912 440070 457200 469408 487680 508000 528084 548640 571500 576000 585216 586760 609600 650240 660105 685800 691200 704112 731520 733450 762000 792126 812800 857250 864000 877824 880140 914400 938816 975360 1016000 1056168 1097280 1100175 1143000 1152000 1170432 1173520 1219200 1320210 1371600 1408224 1463040 1466900 1524000 1584252 1625600 1714500 1728000 1755648 1760280 1828800 1833625 1862963 1877632 1950720 1980315 2032000 2112336 2194560 2200350 2286000 2347040 2438400 2640420 2743200 2816448 2926080 2933800 3048000 3168504 3251200 3300525 3429000 3456000 3511296 3520560 3657600 3667250 3725926 3755264 3960630 4064000 4224672 4389120 4400700 4572000 4694080 4876800 5280840 5486400 5500875 5588889 5632896 5852160 5867600 6096000 6337008 6601050 6858000 7041120 7315200 7334500 7451852 7510528 7921260 8128000 8449344 8778240 8801400 9144000 9314815 9388160 9753600 9901575 10561680 10972800 11001750 11177778 11265792 11735200 12192000 12674016 13202100 13716000 14082240 14630400 14669000 14903704 15021056 15842520 16256000 16502625 16766667 16898688 17556480 17602800 18288000 18629630 18776320 19803150 21123360 21945600 22003500 22355556 22531584 23470400 24384000 25348032 26404200 27432000 27944445 28164480 29260800 29338000 29807408 31685040 33005250 33533334 33797376 35205600 36576000 37259260 37552640 39606300 42246720 43891200 44007000 44711112 45063168 46574075 46940800 48768000 49507875 50300001 50696064 52808400 54864000 55888890 56328960 58676000 59614816 63370080 66010500 67066668 67594752 70411200 73152000 74518520 75105280 79212600 83833335 84493440 87782400 88014000 89422224 93148150 93881600 99015750 100600002 101392128 105616800 109728000 111777780 112657920 117352000 119229632 126740160 132021000 134133336 135189504 139722225 140822400 146304000 149037040 158425200 167666670 168986880 176028000 178844448 186296300 187763200 198031500 201200004 202784256 211233600 219456000 223555560 225315840 232870375 234704000 238459264 251500005 253480320 264042000 268266672 279444450 281644800 298074080 316850400 335333340 337973760 352056000 357688896 372592600 375526400 396063000 402400008 405568512 419166675 422467200 438912000 447111120 465740750 469408000 476918528 503000010 506960640 528084000 536533344 558888900 563289600 596148160 633700800 670666680 675947520 698611125 704112000 715377792 745185200 792126000 804800016 838333350 844934400 894222240 931481500 938816000 953837056 1006000020 1013921280 1056168000 1073066688 1117777800 1126579200 1192296320 1257500025 1267401600 1341333360 1397222250 1408224000 1430755584 1490370400 1584252000 1609600032 1676666700 1689868800 1788444480 1862963000 1877632000 1907674112 2012000040 2027842560 2095833375 2112336000 2146133376 2235555600 2384592640 2515000050 2534803200 2682666720 2794444500 2816448000 2861511168 2980740800 3168504000 3219200064 3353333400 3379737600 3576888960 3725926000 4024000080 4191666750 4224672000 4292266752 4471111200 4769185280 5030000100 5069606400 5365333440 5588889000 5632896000 5723022336 5961481600 6287500125 6337008000 6438400128 6706666800 7153777920 7451852000 8048000160 8383333500 8449344000 8584533504 8942222400 9538370560 10060000200 10139212800 10730666880 11177778000 11922963200 12575000250 12674016000 12876800256 13413333600 14307555840 14903704000 16096000320 16766667000 16898688000 17169067008 17884444800 20120000400 21461333760 22355556000 23845926400 25150000500 25348032000 25753600512 26826667200 28615111680 29807408000 32192000640 33533334000 35768889600 40240000800 42922667520 44711112000 47691852800 50300001000 50696064000 51507201024 53653334400 59614816000 64384001280 67066668000 71537779200 80480001600 85845335040 89422224000 100600002000 107306668800 119229632000 128768002560 134133336000 143075558400 160960003200 178844448000 201200004000 214613337600 238459264000 257536005120 268266672000 321920006400 357688896000 402400008000 429226675200 536533344000 643840012800 715377792000 804800016000 1073066688000 1287680025600 1609600032000 2146133376000 3219200064000 6438400128000
- Sum of all divisors σ(n): 23985154252800
- Sum of proper divisors (its aliquot sum) s(n): 17546754124800
- 6438400128000 is an abundant number, because the sum of its proper divisors (17546754124800) is greater than itself. Its abundance is 11108353996800
Bases of 6438400128000
- Binary: 10111011011000011101000110101110100000000002
- Hexadecimal: 0x5DB0E8D7400
- Base-36: 2A5RD79C0
Squares and roots of 6438400128000
- 6438400128000 squared (64384001280002) is 41452996208230416384000000
- 6438400128000 cubed (64384001280003) is 266890976093054227500238897152000000000
-
The
square root of 6438400128000 is 2537400.2695672593 -
The
cube root of 6438400128000 is 18603.4141495473
Scales and comparisons
How big is 6438400128000?- 6,438,400,128,000 seconds is equal to 204,721 years, 10 weeks, 6 days.
-
To count from 1 to 6,438,400,128,000 would take you about five hundred eleven thousand, eight hundred three 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 6438400128000 cubic inches would be around 1550.3 feet tall.
Recreational maths with 6438400128000
- 6438400128000 backwards is 0008210048346
- 6438400128000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 6438400128000's digits is 36
- More coming soon!
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