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43242439680 = 210345119479
BaseRepresentation
bin101000010001011100…
…110100010000000000
311010121122021112120000
4220101130310100000
51202030031032210
631510523320000
73060405446466
oct502134642000
9133548245500
1043242439680
1117380258a60
128469980000
134101a6021b
142143082836
1511d14b9ac0
hexa11734400

43242439680 has 440 divisors, whose sum is σ = 169061238720. Its totient is φ = 10481909760.

The previous prime is 43242439631. The next prime is 43242439697. The reversal of 43242439680 is 8693424234.

43242439680 is a `hidden beast` number, since 4 + 324 + 243 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4557181 + ... + 4566659.

It is an arithmetic number, because the mean of its divisors is an integer number (384230088).

Almost surely, 243242439680 is an apocalyptic number.

43242439680 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 43242439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84530619360).

43242439680 is an abundant number, since it is smaller than the sum of its proper divisors (125818799040).

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

43242439680 is a wasteful number, since it uses less digits than its factorization.

43242439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 43242439680 in words is "forty-three billion, two hundred forty-two million, four hundred thirty-nine thousand, six hundred eighty".