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42298230240 = 2533573145121
BaseRepresentation
bin100111011001001010…
…111100010111100000
311001011211120201201000
4213121022330113200
51143111321331430
631233113512000
73025122011340
oct473112742740
9131154521630
1042298230240
1116a36280482
128245712600
133cb1258006
1420938d8d20
151178658e60
hex9d92bc5e0

42298230240 has 384 divisors, whose sum is σ = 174654627840. Its totient is φ = 9356083200.

The previous prime is 42298230211. The next prime is 42298230269. The reversal of 42298230240 is 4203289224.

42298230240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42298230211) and next prime (42298230269).

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 = 42298230195 and 42298230204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 914880 + ... + 960000.

It is an arithmetic number, because the mean of its divisors is an integer number (454829760).

Almost surely, 242298230240 is an apocalyptic number.

42298230240 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 42298230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87327313920).

42298230240 is an abundant number, since it is smaller than the sum of its proper divisors (132356397600).

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

42298230240 is a wasteful number, since it uses less digits than its factorization.

42298230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45183 (or 45169 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 42298230240 in words is "forty-two billion, two hundred ninety-eight million, two hundred thirty thousand, two hundred forty".