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42042522300 = 223521512413851
BaseRepresentation
bin100111001001111011…
…011111101010111100
311000112000102102100120
4213021323133222330
51142100341203200
631151501054540
73015565354212
oct471173375274
9130460372316
1042042522300
11169149a92a9
128193b57450
133c7029753c
14206b974cb2
151160e989a0
hex9c9edfabc

42042522300 has 144 divisors (see below), whose sum is σ = 122988628224. Its totient is φ = 11088000000.

The previous prime is 42042522287. The next prime is 42042522323. The reversal of 42042522300 is 322524024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10915375 + ... + 10919225.

It is an arithmetic number, because the mean of its divisors is an integer number (854087696).

Almost surely, 242042522300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42042522300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61494314112).

42042522300 is an abundant number, since it is smaller than the sum of its proper divisors (80946105924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42042522300 is a wasteful number, since it uses less digits than its factorization.

42042522300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The spelling of 42042522300 in words is "forty-two billion, forty-two million, five hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 241 300 302 453 482 604 723 755 906 964 1205 1446 1510 1812 2265 2410 2892 3020 3615 3775 3851 4530 4820 6025 7230 7550 7702 9060 11325 11553 12050 14460 15100 15404 18075 19255 22650 23106 24100 36150 36391 38510 45300 46212 57765 72300 72782 77020 96275 109173 115530 145564 181955 192550 218346 231060 288825 363910 385100 436692 545865 577650 581501 727820 909775 928091 1091730 1155300 1163002 1744503 1819550 1856182 2183460 2326004 2729325 2784273 2907505 3489006 3639100 3712364 4640455 5458650 5568546 5815010 6978012 8722515 9280910 10917300 11137092 11630020 13921365 14537525 17445030 18561820 23202275 27842730 29075050 34890060 43612575 46404550 55685460 58150100 69606825 87225150 92809100 139213650 140141741 174450300 278427300 280283482 420425223 560566964 700708705 840850446 1401417410 1681700892 2102126115 2802834820 3503543525 4204252230 7007087050 8408504460 10510630575 14014174100 21021261150 42042522300