6404432424038400
6,404,432,424,038,400 is an even composite number composed of five prime numbers multiplied together.
6404432424038400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twelve divisors.
Prime factorization of 6404432424038400:
212 × 3 × 52 × 179 × 116467943
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 179 × 116467943)See below for interesting mathematical facts about the number 6404432424038400 from the Numbermatics database.
Names of 6404432424038400
- Cardinal: 6404432424038400 can be written as Six quadrillion, four hundred four trillion, four hundred thirty-two billion, four hundred twenty-four million, thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 6.4044324240384 × 1015
Factors of 6404432424038400
Divisors of 6404432424038400
- Number of divisors d(n): 312
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 179 192 200 240 256 300 320 358 384 400 480 512 537 600 640 716 768 800 895 960 1024 1074 1200 1280 1432 1536 1600 1790 1920 2048 2148 2400 2560 2685 2864 3072 3200 3580 3840 4096 4296 4475 4800 5120 5370 5728 6144 6400 7160 7680 8592 8950 9600 10240 10740 11456 12288 12800 13425 14320 15360 17184 17900 19200 20480 21480 22912 25600 26850 28640 30720 34368 35800 38400 42960 45824 51200 53700 57280 61440 68736 71600 76800 85920 91648 102400 107400 114560 137472 143200 153600 171840 183296 214800 229120 274944 286400 307200 343680 366592 429600 458240 549888 572800 687360 733184 859200 916480 1099776 1145600 1374720 1718400 1832960 2199552 2291200 2749440 3436800 3665920 4582400 5498880 6873600 9164800 10997760 13747200 18329600 27494400 54988800 116467943 232935886 349403829 465871772 582339715 698807658 931743544 1164679430 1397615316 1747019145 1863487088 2329358860 2795230632 2911698575 3494038290 3726974176 4658717720 5590461264 5823397150 6988076580 7453948352 8735095725 9317435440 11180922528 11646794300 13976153160 14907896704 17470191450 18634870880 20847761797 22361845056 23293588600 27952306320 29815793408 34940382900 37269741760 41695523594 44723690112 46587177200 55904612640 59631586816 62543285391 69880765800 74539483520 83391047188 89447380224 93174354400 104238808985 111809225280 119263173632 125086570782 139761531600 149078967040 166782094376 178894760448 186348708800 208477617970 223618450560 238526347264 250173141564 279523063200 298157934080 312716426955 333564188752 357789520896 372697417600 416955235940 447236901120 477052694528 500346283128 521194044925 559046126400 596315868160 625432853910 667128377504 715579041792 745394835200 833910471880 894473802240 1000692566256 1042388089850 1118092252800 1192631736320 1250865707820 1334256755008 1431158083584 1490789670400 1563582134775 1667820943760 1788947604480 2001385132512 2084776179700 2236184505600 2385263472640 2501731415640 2668513510016 2981579340800 3127164269550 3335641887520 3577895208960 4002770265024 4169552359400 4472369011200 5003462831280 5337027020032 5963158681600 6254328539100 6671283775040 7155790417920 8005540530048 8339104718800 8944738022400 10006925662560 10674054040064 11926317363200 12508657078200 13342567550080 16011081060096 16678209437600 17889476044800 20013851325120 21348108080128 25017314156400 26685135100160 32022162120192 33356418875200 35778952089600 40027702650240 42696216160256 50034628312800 53370270200320 64044324240384 66712837750400 80055405300480 85392432320512 100069256625600 106740540400640 128088648480768 133425675500800 160110810600960 200138513251200 213481080801280 256177296961536 266851351001600 320221621201920 400277026502400 426962161602560 533702702003200 640443242403840 800554053004800 1067405404006400 1280886484807680 1601108106009600 2134810808012800 3202216212019200 6404432424038400
- Sum of all divisors σ(n): 21293032902065280
- Sum of proper divisors (its aliquot sum) s(n): 14888600478026880
- 6404432424038400 is an abundant number, because the sum of its proper divisors (14888600478026880) is greater than itself. Its abundance is 8484168053988480
Bases of 6404432424038400
- Binary: 101101100000011001100000111111001111101110000000000002
- Hexadecimal: 0x16C0CC1F9F7000
- Base-36: 1R26JMZQ6TC
Squares and roots of 6404432424038400
- 6404432424038400 squared (64044324240384002) is 41016754674074376186164674560000
- 6404432424038400 cubed (64044324240384003) is 262689033563470530413730958001020656943104000000
-
The
square root of 6404432424038400 is 80027697.8554200321 -
The
cube root of 6404432424038400 is 185706.4048908599
Scales and comparisons
How big is 6404432424038400?- 6,404,432,424,038,400 seconds is equal to 203,641,140 years, 45 weeks, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 6,404,432,424,038,400 would take you about six hundred ten million, nine hundred twenty-three thousand, four hundred twenty-two 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 6404432424038400 cubic inches would be around 15475.5 feet tall.
Recreational maths with 6404432424038400
- 6404432424038400 backwards is 0048304242344046
- 6404432424038400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 6404432424038400's digits is 48
- More coming soon!
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