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42328143000 = 233353111319577
BaseRepresentation
bin100111011010111101…
…000011010010011000
311001020220212110022000
4213122331003102120
51143142001034000
631240103001000
73025634164503
oct473275032230
9131226773260
1042328143000
1116a51151370
128253739160
133cb74cc380
14209788413a
15117b0b7000
hex9daf43498

42328143000 has 1024 divisors, whose sum is σ = 181778688000. Its totient is φ = 8957952000.

The previous prime is 42328142953. The next prime is 42328143037. The reversal of 42328143000 is 34182324.

42328143000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73358712 + ... + 73359288.

It is an arithmetic number, because the mean of its divisors is an integer number (177518250).

Almost surely, 242328143000 is an apocalyptic number.

42328143000 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 42328143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90889344000).

42328143000 is an abundant number, since it is smaller than the sum of its proper divisors (139450545000).

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

42328143000 is a wasteful number, since it uses less digits than its factorization.

42328143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42328143000 in words is "forty-two billion, three hundred twenty-eight million, one hundred forty-three thousand".