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41934434220 = 223257253109823
BaseRepresentation
bin100111000011011111…
…001010111110101100
311000020111000222101100
4213003133022332230
51141340203343340
631133040243100
73013113544500
oct470337127654
9130214028340
1041934434220
1116869993108
128163910490
133c53a814b3
14205b47a300
151156747830
hex9c37cafac

41934434220 has 432 divisors, whose sum is σ = 152328496320. Its totient is φ = 9306565632.

The previous prime is 41934434197. The next prime is 41934434221. The reversal of 41934434220 is 2243443914.

41934434220 is a `hidden beast` number, since 4 + 193 + 4 + 43 + 422 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41934434221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50952729 + ... + 50953551.

It is an arithmetic number, because the mean of its divisors is an integer number (352612260).

Almost surely, 241934434220 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 41934434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76164248160).

41934434220 is an abundant number, since it is smaller than the sum of its proper divisors (110394062100).

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

41934434220 is a wasteful number, since it uses less digits than its factorization.

41934434220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 41934434220 in words is "forty-one billion, nine hundred thirty-four million, four hundred thirty-four thousand, two hundred twenty".