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42200033304 = 233111373179941
BaseRepresentation
bin100111010011010100…
…010110100000011000
311000220222210210211110
4213103110112200120
51142411202031204
631215245100320
73022520236032
oct472324264030
9130828723743
1042200033304
1116995900690
1282188576a0
133c96ac6110
142084856c52
15116ec0d889
hex9d3516818

42200033304 has 256 divisors, whose sum is σ = 126478195200. Its totient is φ = 11565158400.

The previous prime is 42200033273. The next prime is 42200033333. The reversal of 42200033304 is 40333000224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44845474 + ... + 44846414.

It is an arithmetic number, because the mean of its divisors is an integer number (494055450).

Almost surely, 242200033304 is an apocalyptic number.

42200033304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42200033304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63239097600).

42200033304 is an abundant number, since it is smaller than the sum of its proper divisors (84278161896).

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

42200033304 is a wasteful number, since it uses less digits than its factorization.

42200033304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 42200033304 its reverse (40333000224), we get a palindrome (82533033528).

The spelling of 42200033304 in words is "forty-two billion, two hundred million, thirty-three thousand, three hundred four".