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42356790000 = 243354773307
BaseRepresentation
bin100111011100101010…
…010101001011110000
311001022220202212121000
4213130222111023300
51143221314240000
631243005002000
73026432526450
oct473452251360
9131286685530
1042356790000
1116a66338278
128261253300
133cc041c565
14209b5bdd60
15117d875000
hex9dca952f0

42356790000 has 800 divisors, whose sum is σ = 176581475840. Its totient is φ = 9517824000.

The previous prime is 42356789987. The next prime is 42356790031. The reversal of 42356790000 is 9765324.

42356790000 is a `hidden beast` number, since 4 + 2 + 3 + 567 + 90 + 0 + 0 + 0 = 666.

42356790000 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 137969847 + ... + 137970153.

Almost surely, 242356790000 is an apocalyptic number.

42356790000 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 42356790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88290737920).

42356790000 is an abundant number, since it is smaller than the sum of its proper divisors (134224685840).

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

42356790000 is a wasteful number, since it uses less digits than its factorization.

42356790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 42356790000 in words is "forty-two billion, three hundred fifty-six million, seven hundred ninety thousand".