54338142643200
54,338,142,643,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 54338142643200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2640 divisors.
54338142643200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 54338142643200:
210 × 34 × 52 × 13 × 53 × 73 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 53 × 73 × 521)See below for interesting mathematical facts about the number 54338142643200 from the Numbermatics database.
Names of 54338142643200
- Cardinal: 54338142643200 can be written as Fifty-four trillion, three hundred thirty-eight billion, one hundred forty-two million, six hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 5.43381426432 × 1013
Factors of 54338142643200
Divisors of 54338142643200
- Number of divisors d(n): 2640
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 53 54 60 64 65 72 73 75 78 80 81 90 96 100 104 106 108 117 120 128 130 135 144 146 150 156 159 160 162 180 192 195 200 208 212 216 219 225 234 240 256 260 265 270 288 292 300 312 318 320 324 325 351 360 365 384 390 400 405 416 424 432 438 450 468 477 480 512 520 521 530 540 576 584 585 600 624 636 640 648 650 657 675 689 702 720 730 768 780 795 800 810 832 848 864 876 900 936 949 954 960 975 1024 1040 1042 1053 1060 1080 1095 1152 1168 1170 1200 1248 1272 1280 1296 1300 1314 1325 1350 1378 1404 1431 1440 1460 1536 1560 1563 1590 1600 1620 1664 1696 1728 1752 1755 1800 1825 1872 1898 1908 1920 1950 1971 2025 2067 2080 2084 2106 2120 2160 2190 2304 2336 2340 2385 2400 2496 2544 2560 2592 2600 2605 2628 2650 2700 2756 2808 2847 2862 2880 2920 2925 3072 3120 3126 3180 3200 3240 3285 3328 3392 3445 3456 3504 3510 3600 3650 3744 3796 3816 3840 3869 3900 3942 3975 4050 4134 4160 4168 4212 4240 4293 4320 4380 4608 4672 4680 4689 4745 4770 4800 4992 5088 5120 5184 5200 5210 5256 5265 5300 5400 5475 5512 5616 5694 5724 5760 5840 5850 5913 6201 6240 6252 6360 6400 6480 6570 6656 6773 6784 6890 6912 7008 7020 7155 7200 7300 7488 7592 7632 7680 7738 7800 7815 7884 7950 8100 8268 8320 8336 8424 8480 8541 8586 8640 8760 8775 9216 9344 9360 9378 9490 9540 9600 9855 9984 10176 10335 10368 10400 10420 10512 10530 10600 10800 10950 11024 11232 11388 11448 11520 11607 11680 11700 11826 11925 12402 12480 12504 12720 12800 12960 13025 13140 13312 13546 13568 13780 13824 14016 14040 14067 14235 14310 14400 14600 14976 15184 15264 15360 15476 15600 15630 15768 15900 16200 16425 16536 16640 16672 16848 16960 17082 17172 17225 17280 17520 17550 18603 18688 18720 18756 18980 19080 19200 19345 19710 19968 20319 20352 20670 20736 20800 20840 21024 21060 21200 21465 21600 21900 22048 22464 22776 22896 23040 23214 23360 23400 23445 23652 23725 23850 24804 24960 25008 25440 25600 25623 25920 26050 26280 26325 27092 27136 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30187857024 30961904640 31014921600 31445684400 32038999200 32655133800 33542063360 33961339152 34174932480 34765286400 34832142720 35376394950 37217905920 37734821280 37972147200 38702380800 39432614400 40250476032 41009918976 41353228800 41798571264 41927579200 42451673940 42718665600 43540178400 45281785536 46442856960 46522382400 47168526600 49623874560 50313095040 51262398720 51603174400 52147929600 52248214080 53064592425 55731428352 56602231920 56958220800 57258316800 58053571200 60375714048 62029843200 62891368800 64077998400 65310267600 67084126720 67922678304 68349864960 69664285440 70752789900 74435811840 75469642560 77404761600 78865228800 80500952064 82706457600 83597142528 83855158400 84903347880 85437331200 87080356800 90563571072 92885713920 93044764800 94337053200 100626190080 102524797440 104295859200 104496428160 106129184850 113204463840 113916441600 116107142400 120751428096 124059686400 125782737600 128155996800 130620535200 134168253440 135845356608 139328570880 141505579800 148871623680 150939285120 154809523200 167194285056 167710316800 169806695760 170874662400 174160713600 181127142144 186089529600 188674106400 201252380160 205049594880 208992856320 212258369700 226408927680 232214284800 241502856192 248119372800 251565475200 256311993600 261241070400 271690713216 278657141760 283011159600 301878570240 335420633600 339613391520 341749324800 348321427200 362254284288 372179059200 377348212800 402504760320 417985712640 424516739400 452817855360 464428569600 503130950400 512623987200 522482140800 543381426432 566022319200 603757140480 670841267200 679226783040 696642854400 724508568576 744358118400 754696425600 835971425280 849033478800 905635710720 1006261900800 1025247974400 1044964281600 1086762852864 1132044638400 1207514280960 1358453566080 1393285708800 1509392851200 1698066957600 1811271421440 2012523801600 2089928563200 2173525705728 2264089276800 2716907132160 3018785702400 3396133915200 3622542842880 4179857126400 4528178553600 5433814264320 6037571404800 6792267830400 9056357107200 10867628528640 13584535660800 18112714214400 27169071321600 54338142643200
- Sum of all divisors σ(n): 224227525926096
- Sum of proper divisors (its aliquot sum) s(n): 169889383282896
- 54338142643200 is an abundant number, because the sum of its proper divisors (169889383282896) is greater than itself. Its abundance is 115551240639696
Bases of 54338142643200
- Binary: 11000101101011100101011011000010100100000000002
- Hexadecimal: 0x316B95B0A400
- Base-36: J9ELJ5S00
Squares and roots of 54338142643200
- 54338142643200 squared (543381426432002) is 2952633745912750282506240000
- 54338142643200 cubed (543381426432003) is 160440633658532969832445166714093568000000
-
The
square root of 54338142643200 is 7371441.0153782007 -
The
cube root of 54338142643200 is 37876.3623960865
Scales and comparisons
How big is 54338142643200?- 54,338,142,643,200 seconds is equal to 1,727,784 years, 44 weeks, 4 days.
-
To count from 1 to 54,338,142,643,200 would take you about four million, three hundred nineteen thousand, four hundred sixty-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 54338142643200 cubic inches would be around 3156.4 feet tall.
Recreational maths with 54338142643200
- 54338142643200 backwards is 00234624183345
- 54338142643200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 54338142643200's digits is 45
- More coming soon!
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"Number 54338142643200 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 54338142643200 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/54338142643200/
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The information we have on file for 54338142643200 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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