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42340210000 = 24541137101103
BaseRepresentation
bin100111011011101011…
…000101010101010000
311001021202120112002221
4213123223011111100
51143203043210000
631241213350424
73026141563324
oct473353052520
9131252515087
1042340210000
1116a57a434a0
128257798414
133cb9b659ca
142099305984
15117c19c61a
hex9dbac5550

42340210000 has 400 divisors, whose sum is σ = 117114611328. Its totient is φ = 14688000000.

The previous prime is 42340209959. The next prime is 42340210007. The reversal of 42340210000 is 1204324.

42340210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42340210007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 411069949 + ... + 411070051.

Almost surely, 242340210000 is an apocalyptic number.

42340210000 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 42340210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58557305664).

42340210000 is an abundant number, since it is smaller than the sum of its proper divisors (74774401328).

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

42340210000 is a wasteful number, since it uses less digits than its factorization.

42340210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42340210000 its reverse (1204324), we get a palindrome (42341414324).

The spelling of 42340210000 in words is "forty-two billion, three hundred forty million, two hundred ten thousand".