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23041128240 = 24335131922273
BaseRepresentation
bin10101011101010110…
…111011011100110000
32012110202221120221000
4111131112323130300
5334142012100430
614330203202000
71443660233664
oct253526733460
965422846830
1023041128240
119854130749
124570516300
13223275c3c0
1411881568a4
158ecc35e60
hex55d5bb730

23041128240 has 480 divisors, whose sum is σ = 90243599040. Its totient is φ = 5370789888.

The previous prime is 23041128197. The next prime is 23041128241. The reversal of 23041128240 is 4282114032.

23041128240 is a `hidden beast` number, since 2 + 3 + 0 + 411 + 2 + 8 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23041128241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10135744 + ... + 10138016.

It is an arithmetic number, because the mean of its divisors is an integer number (188007498).

Almost surely, 223041128240 is an apocalyptic number.

23041128240 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 23041128240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45121799520).

23041128240 is an abundant number, since it is smaller than the sum of its proper divisors (67202470800).

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

23041128240 is a wasteful number, since it uses less digits than its factorization.

23041128240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 23041128240 in words is "twenty-three billion, forty-one million, one hundred twenty-eight thousand, two hundred forty".