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43494135840 = 2534531731483
BaseRepresentation
bin101000100000011100…
…111101100000100000
311011021011220000210000
4220200130331200200
51203033444321330
631551514140000
73066553024521
oct504034754040
9134234800700
1043494135840
111749a340011
12851a121600
134141c4796c
142168680848
1511e8636560
hexa2073d820

43494135840 has 480 divisors, whose sum is σ = 160728454656. Its totient is φ = 11063070720.

The previous prime is 43494135793. The next prime is 43494135847. The reversal of 43494135840 is 4853149434.

43494135840 is a `hidden beast` number, since 434 + 9 + 4 + 135 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (43494135847) 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 79 ways as a sum of consecutive naturals, for example, 29327739 + ... + 29329221.

Almost surely, 243494135840 is an apocalyptic number.

43494135840 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 43494135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80364227328).

43494135840 is an abundant number, since it is smaller than the sum of its proper divisors (117234318816).

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

43494135840 is a wasteful number, since it uses less digits than its factorization.

43494135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 43494135840 in words is "forty-three billion, four hundred ninety-four million, one hundred thirty-five thousand, eight hundred forty".