42780168144
42,780,168,144 is an even composite number composed of five prime numbers multiplied together.
42780168144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred fifty divisors.
Prime factorization of 42780168144:
24 × 34 × 72 × 312 × 701
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 31 × 31 × 701)See below for interesting mathematical facts about the number 42780168144 from the Numbermatics database.
Names of 42780168144
- Cardinal: 42780168144 can be written as Forty-two billion, seven hundred eighty million, one hundred sixty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.2780168144 × 1010
Factors of 42780168144
Divisors of 42780168144
- Number of divisors d(n): 450
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 49 54 56 62 63 72 81 84 93 98 108 112 124 126 144 147 162 168 186 189 196 216 217 248 252 279 294 324 336 372 378 392 432 434 441 496 504 558 567 588 648 651 701 744 756 784 837 868 882 961 1008 1116 1134 1176 1296 1302 1323 1402 1488 1512 1519 1674 1736 1764 1922 1953 2103 2232 2268 2352 2511 2604 2646 2804 2883 3024 3038 3348 3472 3528 3844 3906 3969 4206 4464 4536 4557 4907 5022 5208 5292 5608 5766 5859 6076 6309 6696 6727 7056 7688 7812 7938 8412 8649 9072 9114 9814 10044 10416 10584 11216 11532 11718 12152 12618 13392 13454 13671 14721 15376 15624 15876 16824 17298 17577 18228 18927 19628 20088 20181 21168 21731 23064 23436 24304 25236 25947 26908 27342 29442 31248 31752 33648 34349 34596 35154 36456 37854 39256 40176 40362 41013 43462 44163 46128 46872 47089 50472 51894 53816 54684 56781 58884 60543 63504 65193 68698 69192 70308 72912 75708 77841 78512 80724 82026 86924 88326 93744 94178 100944 103047 103788 107632 109368 113562 117768 121086 123039 130386 132489 137396 138384 140616 141267 151416 152117 155682 161448 164052 173848 176652 181629 188356 195579 206094 207576 218736 227124 235536 242172 246078 260772 264978 274792 281232 282534 302832 304234 309141 311364 322896 328104 347696 353304 363258 376712 391158 397467 412188 415152 423801 454248 456351 484344 492156 521544 529956 544887 549584 565068 586737 608468 618282 622728 656208 673661 706608 726516 753424 782316 794934 824376 847602 908496 912702 927423 968688 984312 1043088 1059912 1064819 1089774 1130136 1173474 1216936 1236564 1245456 1271403 1347322 1369053 1453032 1564632 1589868 1648752 1695204 1760211 1825404 1854846 1968624 2020983 2119824 2129638 2179548 2260272 2346948 2433872 2473128 2542806 2694644 2738106 2782269 2906064 3129264 3179736 3194457 3390408 3520422 3650808 3709692 3814209 4041966 4107159 4259276 4359096 4693896 4715627 4946256 5085612 5389288 5476212 5564538 6062949 6359472 6388914 6780816 7040844 7301616 7419384 7628418 8083932 8214318 8518552 8718192 9387792 9431254 9583371 10171224 10778576 10952424 11129076 12125898 12321477 12777828 14081688 14146881 14838768 15256836 16167864 16428636 17037104 18188847 18862508 19166742 20342448 21904848 22258152 24251796 24642954 25555656 28163376 28293762 28750113 30513672 32335728 32857272 33009389 36377694 37725016 38333484 42440643 44516304 48503592 49285908 51111312 54566541 56587524 57500226 61027344 65714544 66018778 72755388 75450032 76666968 84881286 86250339 97007184 98571816 99028167 109133082 113175048 115000452 127321929 132037556 145510776 153333936 169762572 172500678 197143632 198056334 218266164 226350096 230000904 254643858 264075112 291021552 297084501 339525144 345001356 381965787 396112668 436532328 460001808 509287716 528150224 594169002 679050288 690002712 763931574 792225336 873064656 891253503 1018575432 1188338004 1380005424 1527863148 1584450672 1782507006 2037150864 2376676008 2673760509 3055726296 3565014012 4753352016 5347521018 6111452592 7130028024 10695042036 14260056048 21390084072 42780168144
- Sum of all divisors σ(n): 149041866402
- Sum of proper divisors (its aliquot sum) s(n): 106261698258
- 42780168144 is an abundant number, because the sum of its proper divisors (106261698258) is greater than itself. Its abundance is 63481530114
Bases of 42780168144
- Binary: 1001111101011110010110001111110100002
- Hexadecimal: 0x9F5E58FD0
- Base-36: JNI7H00
Squares and roots of 42780168144
- 42780168144 squared (427801681442) is 1830142786428912404736
- 42780168144 cubed (427801681443) is 78293816130957553977653461929984
-
The
square root of 42780168144 is 206833.6726551071 -
The
cube root of 42780168144 is 3497.4176364873
Scales and comparisons
How big is 42780168144?- 42,780,168,144 seconds is equal to 1,360 years, 14 weeks, 2 days, 20 hours, 2 minutes, 24 seconds.
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To count from 1 to 42,780,168,144 would take you about two thousand, seven hundred twenty 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 42780168144 cubic inches would be around 291.5 feet tall.
Recreational maths with 42780168144
- 42780168144 backwards is 44186108724
- The number of decimal digits it has is: 11
- The sum of 42780168144's digits is 45
- More coming soon!
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