42189782320
42,189,782,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42189782320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
42189782320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 42189782320:
24 × 5 × 7 × 29 × 31 × 181 × 463
(2 × 2 × 2 × 2 × 5 × 7 × 29 × 31 × 181 × 463)See below for interesting mathematical facts about the number 42189782320 from the Numbermatics database.
Names of 42189782320
- Cardinal: 42189782320 can be written as Forty-two billion, one hundred eighty-nine million, seven hundred eighty-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.218978232 × 1010
Factors of 42189782320
Divisors of 42189782320
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 29 31 35 40 56 58 62 70 80 112 116 124 140 145 155 181 203 217 232 248 280 290 310 362 406 434 463 464 496 560 580 620 724 812 868 899 905 926 1015 1085 1160 1240 1267 1448 1624 1736 1798 1810 1852 2030 2170 2315 2320 2480 2534 2896 3241 3248 3472 3596 3620 3704 4060 4340 4495 4630 5068 5249 5611 6293 6335 6482 7192 7240 7408 8120 8680 8990 9260 10136 10498 11222 12586 12670 12964 13427 14353 14384 14480 16205 16240 17360 17980 18520 20272 20996 22444 25172 25340 25928 26245 26854 28055 28706 31465 32410 35960 36743 37040 39277 41992 44888 50344 50680 51856 52490 53708 56110 57412 62930 64820 67135 71765 71920 73486 78554 83803 83984 89776 93989 100471 100688 101360 104980 107416 112220 114824 125860 129640 134270 143530 146972 157108 162719 167606 183715 187978 196385 200942 209960 214832 224440 229648 251720 259280 268540 287060 293944 314216 325438 335212 367430 375956 392770 401884 416237 419015 419920 448880 469945 502355 503440 537080 574120 586621 587888 628432 650876 670424 734860 751912 785540 803768 813595 832474 838030 939890 1004710 1074160 1139033 1148240 1173242 1301752 1340848 1469720 1503824 1571080 1607536 1627190 1664948 1676060 1879780 2009420 2081185 2278066 2346484 2430287 2597893 2603504 2913659 2933105 2939440 3142160 3254380 3329896 3352120 3759560 4018840 4162370 4556132 4692968 4860574 5195786 5695165 5827318 5866210 6508760 6659792 6704240 7519120 8037680 8324740 9112264 9385936 9721148 10391572 11390330 11654636 11732420 12151435 12989465 13017520 14568295 16649480 17012009 18185251 18224528 19442296 20783144 22780660 23309272 23464840 24302870 25978930 29136590 33298960 34024018 36370502 38884592 41566288 45561320 46618544 46929680 48605740 51957860 58273180 68048036 72741004 75338897 85060045 90926255 91122640 97211480 103915720 116546360 136096072 145482008 150677794 170120090 181852510 194422960 207831440 233092720 272192144 290964016 301355588 340240180 363705020 376694485 527372279 602711176 680480360 727410040 753388970 1054744558 1205422352 1360960720 1454820080 1506777940 2109489116 2636861395 3013555880 4218978232 5273722790 6027111760 8437956464 10547445580 21094891160 42189782320
- Sum of all divisors σ(n): 120632279040
- Sum of proper divisors (its aliquot sum) s(n): 78442496720
- 42189782320 is an abundant number, because the sum of its proper divisors (78442496720) is greater than itself. Its abundance is 36252714400
Bases of 42189782320
- Binary: 1001110100101011010011111101001100002
- Hexadecimal: 0x9D2B4FD30
- Base-36: JDQPGDS
Squares and roots of 42189782320
- 42189782320 squared (421897823202) is 1779977732208984582400
- 42189782320 cubed (421897823203) is 75096873056344312279692103168000
-
The
square root of 42189782320 is 205401.5148921741 -
The
cube root of 42189782320 is 3481.2544009133
Scales and comparisons
How big is 42189782320?- 42,189,782,320 seconds is equal to 1,341 years, 26 weeks, 1 day, 15 hours, 58 minutes, 40 seconds.
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To count from 1 to 42,189,782,320 would take you about two thousand, six hundred eighty-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 42189782320 cubic inches would be around 290.1 feet tall.
Recreational maths with 42189782320
- 42189782320 backwards is 02328798124
- The number of decimal digits it has is: 11
- The sum of 42189782320's digits is 46
- More coming soon!
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