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210023343040 = 26571910148859
BaseRepresentation
bin1100001110011001011…
…1011110001111000000
3202002002212222021020211
43003212113132033000
511420111433434130
6240252225043504
721113400650320
oct3034627361700
9662085867224
10210023343040
118108577a185
1234854486594
1316a60ac05a4
14a24539d280
1556e33e3a2a
hex30e65de3c0

210023343040 has 224 divisors, whose sum is σ = 607615142400. Its totient is φ = 67541299200.

The previous prime is 210023342993. The next prime is 210023343071. The reversal of 210023343040 is 40343320012.

It is a happy number.

210023343040 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 (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4274131 + ... + 4322989.

It is an arithmetic number, because the mean of its divisors is an integer number (2712567600).

Almost surely, 2210023343040 is an apocalyptic number.

210023343040 is a gapful number since it is divisible by the number (20) 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 210023343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303807571200).

210023343040 is an abundant number, since it is smaller than the sum of its proper divisors (397591799360).

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

210023343040 is a wasteful number, since it uses less digits than its factorization.

210023343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49003 (or 48993 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 210023343040 its reverse (40343320012), we get a palindrome (250366663052).

The spelling of 210023343040 in words is "two hundred ten billion, twenty-three million, three hundred forty-three thousand, forty".