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43146027540 = 2233571121731179
BaseRepresentation
bin101000001011101101…
…000010001000010100
311010100220212021222000
4220023231002020110
51201330340340130
631453201035300
73055125116520
oct501355021024
9133326767860
1043146027540
1117330898100
128441625b30
1340b7aa4815
142134346d80
1511c7cc3260
hexa0bb42214

43146027540 has 1152 divisors, whose sum is σ = 185330073600. Its totient is φ = 8120217600.

The previous prime is 43146027521. The next prime is 43146027541. The reversal of 43146027540 is 4572064134.

43146027540 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 602 + 7 + 5 + 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 = 43146027495 and 43146027504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43146027541) 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 383 ways as a sum of consecutive naturals, for example, 241039171 + ... + 241039349.

It is an arithmetic number, because the mean of its divisors is an integer number (160876800).

Almost surely, 243146027540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43146027540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92665036800).

43146027540 is an abundant number, since it is smaller than the sum of its proper divisors (142184046060).

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

43146027540 is a wasteful number, since it uses less digits than its factorization.

43146027540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 43146027540 in words is "forty-three billion, one hundred forty-six million, twenty-seven thousand, five hundred forty".