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23420430000 = 2432541141577
BaseRepresentation
bin10101110011111101…
…110110011010110000
32020110012200010010100
4111303331312122300
5340431112230000
614431553032400
71456244241012
oct256375663260
966405603110
1023420430000
119a29249780
124657555700
132293204806
1411c26901b2
159211aba00
hex573f766b0

23420430000 has 600 divisors, whose sum is σ = 91688412816. Its totient is φ = 5529600000.

The previous prime is 23420429999. The next prime is 23420430017. The reversal of 23420430000 is 3402432.

23420430000 is a `hidden beast` number, since 234 + 2 + 0 + 430 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40589712 + ... + 40590288.

Almost surely, 223420430000 is an apocalyptic number.

23420430000 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 23420430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45844206408).

23420430000 is an abundant number, since it is smaller than the sum of its proper divisors (68267982816).

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

23420430000 is a wasteful number, since it uses less digits than its factorization.

23420430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 23420430000 its reverse (3402432), we get a palindrome (23423832432).

The spelling of 23420430000 in words is "twenty-three billion, four hundred twenty million, four hundred thirty thousand".