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43114074816 = 26317232412383
BaseRepresentation
bin101000001001110011…
…001001001011000000
311010021200201221001210
4220021303021023000
51201244200343231
631450100130120
73054256406061
oct501163111300
9133250657053
1043114074816
111731485359a
128432996940
1340b1297a97
14212ddca568
1511c50b0a46
hexa09cc92c0

43114074816 has 224 divisors, whose sum is σ = 126610311168. Its totient is φ = 12878807040.

The previous prime is 43114074811. The next prime is 43114074821. The reversal of 43114074816 is 61847041134.

It is an interprime number because it is at equal distance from previous prime (43114074811) and next prime (43114074821).

It is not an unprimeable number, because it can be changed into a prime (43114074811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18091161 + ... + 18093543.

Almost surely, 243114074816 is an apocalyptic number.

43114074816 is a gapful number since it is divisible by the number (46) 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 43114074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63305155584).

43114074816 is an abundant number, since it is smaller than the sum of its proper divisors (83496236352).

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

43114074816 is a wasteful number, since it uses less digits than its factorization.

43114074816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 43114074816 in words is "forty-three billion, one hundred fourteen million, seventy-four thousand, eight hundred sixteen".