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4112032302114 = 23112317313718269
BaseRepresentation
bin111011110101101000001…
…110011000010000100010
3112120002212121020022200220
4323311220032120100202
51014332420232131424
612425012551023510
7603040664602452
oct73655016302042
915502777208626
104112032302114
1113459a3041400
12564b3336ab96
1323a9bc36c769
141030483c9d62
1571e6b6e6579
hex3bd68398422

4112032302114 has 192 divisors, whose sum is σ = 9528668513280. Its totient is φ = 1180609689600.

The previous prime is 4112032302113. The next prime is 4112032302143.

4112032302114 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4112032302113) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 225073372 + ... + 225091640.

It is an arithmetic number, because the mean of its divisors is an integer number (49628481840).

Almost surely, 24112032302114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112032302114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764334256640).

4112032302114 is an abundant number, since it is smaller than the sum of its proper divisors (5416636211166).

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

4112032302114 is a wasteful number, since it uses less digits than its factorization.

4112032302114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18537 (or 18526 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 4112032302114 in words is "four trillion, one hundred twelve billion, thirty-two million, three hundred two thousand, one hundred fourteen".