Search a number  43152028093440 = 21033573312947
BaseRepresentation
bin10011100111111000111010…
…10011100100110000000000
312122210021221000212121211000
421303330131103210300000
521124000323142442230
6231435433521252000
712042426324552000
oct1163743523446000
9178707830777730
1043152028093440
1112827743984582
124a0b19aa94000
131b102ac8a93b6
14a927d8252000
154ec73b101b60
hex273f1d4e4c00

43152028093440 has 2112 divisors, whose sum is σ = 184989322368000. Its totient is φ = 9535069716480.

The previous prime is 43152028093381. The next prime is 43152028093459. The reversal of 43152028093440 is 4439082025134.

43152028093440 is a `hidden beast` number, since 4 + 3 + 1 + 5 + 20 + 280 + 9 + 344 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45567083047 + ... + 45567083993.

Almost surely, 243152028093440 is an apocalyptic number.

43152028093440 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 43152028093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92494661184000).

43152028093440 is an abundant number, since it is smaller than the sum of its proper divisors (141837294274560).

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

43152028093440 is an equidigital number, since it uses as much as digits as its factorization.

43152028093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 995 counting only the distinct ones).

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

The spelling of 43152028093440 in words is "forty-three trillion, one hundred fifty-two billion, twenty-eight million, ninety-three thousand, four hundred forty".