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43212349440 = 2133251371127
BaseRepresentation
bin101000001111101010…
…000010000000000000
311010112112122210111200
4220033222002000000
51201444330140230
631503530341200
73056561624031
oct501752020000
9133475583450
1043212349440
1117365276797
12845b88a800
1340c8756150
14213d08ca88
1511cda24160
hexa0fa82000

43212349440 has 672 divisors, whose sum is σ = 164876414976. Its totient is φ = 10404495360.

The previous prime is 43212349421. The next prime is 43212349447. The reversal of 43212349440 is 4494321234.

43212349440 is a `hidden beast` number, since 4 + 3 + 2 + 123 + 494 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 43212349395 and 43212349404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43212349447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340254657 + ... + 340254783.

It is an arithmetic number, because the mean of its divisors is an integer number (245351808).

Almost surely, 243212349440 is an apocalyptic number.

43212349440 is a gapful number since it is divisible by the number (40) 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 43212349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82438207488).

43212349440 is an abundant number, since it is smaller than the sum of its proper divisors (121664065536).

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

43212349440 is a wasteful number, since it uses less digits than its factorization.

43212349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

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

The spelling of 43212349440 in words is "forty-three billion, two hundred twelve million, three hundred forty-nine thousand, four hundred forty".