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4204242042 = 2372112139091
BaseRepresentation
bin1111101010010111…
…1010010001111010
3101212000000121212020
43322211322101322
532102241221132
61533103255310
7206120316300
oct37245722172
911760017766
104204242042
111868204300
12993baa536
135200327b0
142bc51c270
1519916b52c
hexfa97a47a

4204242042 has 144 divisors (see below), whose sum is σ = 11579643936. Its totient is φ = 1007899200.

The previous prime is 4204242023. The next prime is 4204242071. The reversal of 4204242042 is 2402424024.

It is a super-2 number, since 2×42042420422 = 35351302295440659528, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457917 + ... + 467007.

It is an arithmetic number, because the mean of its divisors is an integer number (80414194).

Almost surely, 24204242042 is an apocalyptic number.

4204242042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204242042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789821968).

4204242042 is an abundant number, since it is smaller than the sum of its proper divisors (7375401894).

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

4204242042 is a wasteful number, since it uses less digits than its factorization.

4204242042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9145 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4204242042 is about 64840.1267888952. The cubic root of 4204242042 is about 1613.9716562726.

Adding to 4204242042 its reverse (2402424024), we get a palindrome (6606666066).

The spelling of 4204242042 in words is "four billion, two hundred four million, two hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 121 143 147 154 182 231 242 273 286 294 363 429 462 539 546 637 726 847 858 1001 1078 1274 1573 1617 1694 1911 2002 2541 3003 3146 3234 3822 4719 5082 5929 6006 7007 9091 9438 11011 11858 14014 17787 18182 21021 22022 27273 33033 35574 42042 54546 63637 66066 77077 100001 118183 127274 154154 190911 200002 231231 236366 300003 354549 381822 445459 462462 600006 700007 709098 827281 890918 1100011 1300013 1336377 1400014 1654562 2100021 2200022 2481843 2600026 2672754 3300033 3900039 4200042 4900049 4963686 5790967 6600066 7700077 7800078 9100091 9800098 11581934 14300143 14700147 15400154 17372901 18200182 23100231 27300273 28600286 29400294 34745802 42900429 46200462 53900539 54600546 63700637 85800858 100101001 107801078 127401274 161701617 191101911 200202002 300303003 323403234 382203822 600606006 700707007 1401414014 2102121021 4204242042