56438131200
56,438,131,200 is an even composite number composed of six prime numbers multiplied together.
56438131200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 56438131200:
29 × 3 × 52 × 11 × 53 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 53 × 2521)See below for interesting mathematical facts about the number 56438131200 from the Numbermatics database.
Names of 56438131200
- Cardinal: 56438131200 can be written as Fifty-six billion, four hundred thirty-eight million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 5.64381312 × 1010
Factors of 56438131200
Divisors of 56438131200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 53 55 60 64 66 75 80 88 96 100 106 110 120 128 132 150 159 160 165 176 192 200 212 220 240 256 264 265 275 300 318 320 330 352 384 400 424 440 480 512 528 530 550 583 600 636 640 660 704 768 795 800 825 848 880 960 1056 1060 1100 1166 1200 1272 1280 1320 1325 1408 1536 1590 1600 1650 1696 1749 1760 1920 2112 2120 2200 2332 2400 2521 2544 2560 2640 2650 2816 2915 3180 3200 3300 3392 3498 3520 3840 3975 4224 4240 4400 4664 4800 5042 5088 5280 5300 5632 5830 6360 6400 6600 6784 6996 7040 7563 7680 7950 8448 8480 8745 8800 9328 9600 10084 10176 10560 10600 11660 12605 12720 12800 13200 13568 13992 14080 14575 15126 15900 16896 16960 17490 17600 18656 19200 20168 20352 21120 21200 23320 25210 25440 26400 27136 27731 27984 28160 29150 30252 31800 33920 34980 35200 37312 37815 38400 40336 40704 42240 42400 43725 46640 50420 50880 52800 55462 55968 58300 60504 63025 63600 67840 69960 70400 74624 75630 80672 81408 83193 84480 84800 87450 93280 100840 101760 105600 110924 111936 116600 121008 126050 127200 133613 135680 138655 139920 140800 149248 151260 161344 166386 169600 174900 186560 189075 201680 203520 211200 221848 223872 233200 242016 252100 254400 267226 277310 279840 298496 302520 322688 332772 339200 349800 373120 378150 400839 403360 407040 415965 422400 443696 447744 466400 484032 504200 508800 534452 554620 559680 605040 645376 665544 668065 678400 693275 699600 746240 756300 801678 806720 831930 887392 895488 932800 968064 1008400 1017600 1068904 1109240 1119360 1210080 1290752 1331088 1336130 1386550 1399200 1469743 1492480 1512600 1603356 1613440 1663860 1774784 1865600 1936128 2004195 2016800 2035200 2079825 2137808 2218480 2238720 2420160 2662176 2672260 2773100 2798400 2939486 3025200 3206712 3226880 3327720 3340325 3549568 3731200 3872256 4008390 4033600 4159650 4275616 4409229 4436960 4477440 4840320 5324352 5344520 5546200 5596800 5878972 6050400 6413424 6453760 6655440 6680650 7099136 7348715 7462400 8016780 8067200 8319300 8551232 8818458 8873920 9680640 10020975 10648704 10689040 11092400 11193600 11757944 12100800 12826848 13310880 13361300 14198272 14697430 16033560 16134400 16638600 17102464 17636916 17747840 19361280 20041950 21297408 21378080 22046145 22184800 22387200 23515888 24201600 25653696 26621760 26722600 29394860 32067120 32268800 33277200 34204928 35273832 35495680 36743575 40083900 42594816 42756160 44092290 44369600 47031776 48403200 51307392 53243520 53445200 58789720 64134240 66554400 68409856 70547664 70991360 73487150 80167800 85512320 88184580 88739200 94063552 96806400 102614784 106487040 106890400 110230725 117579440 128268480 133108800 141095328 146974300 160335600 171024640 176369160 177478400 188127104 205229568 212974080 213780800 220461450 235158880 256536960 266217600 282190656 293948600 320671200 342049280 352738320 354956800 376254208 427561600 440922900 470317760 513073920 532435200 564381312 587897200 641342400 705476640 752508416 855123200 881845800 940635520 1026147840 1064870400 1128762624 1175794400 1282684800 1410953280 1710246400 1763691600 1881271040 2257525248 2351588800 2565369600 2821906560 3527383200 3762542080 4703177600 5130739200 5643813120 7054766400 9406355200 11287626240 14109532800 18812710400 28219065600 56438131200
- Sum of all divisors σ(n): 207308642112
- Sum of proper divisors (its aliquot sum) s(n): 150870510912
- 56438131200 is an abundant number, because the sum of its proper divisors (150870510912) is greater than itself. Its abundance is 94432379712
Bases of 56438131200
- Binary: 1101001000111111100110001010000000002
- Hexadecimal: 0xD23F98A00
- Base-36: PXDT0QO
Squares and roots of 56438131200
- 56438131200 squared (564381312002) is 3185262653348413440000
- 56438131200 cubed (564381312003) is 179770271536137877038563328000000
-
The
square root of 56438131200 is 237567.1088345355 -
The
cube root of 56438131200 is 3835.8140149035
Scales and comparisons
How big is 56438131200?- 56,438,131,200 seconds is equal to 1,794 years, 29 weeks, 2 hours, 40 minutes.
-
To count from 1 to 56,438,131,200 would take you about three thousand, five hundred eighty-nine 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 56438131200 cubic inches would be around 319.7 feet tall.
Recreational maths with 56438131200
- 56438131200 backwards is 00213183465
- 56438131200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 56438131200's digits is 33
- More coming soon!
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