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23241301440 = 263578341669
BaseRepresentation
bin10101101001010010…
…100001110111000000
32012222201121102221020
4111221102201313000
5340044233121230
614402113425440
71451640542220
oct255122416700
965881542836
1023241301440
119947121845
12460756b280
132265077496
1411a6982080
159105c6810
hex5694a1dc0

23241301440 has 224 divisors, whose sum is σ = 85350827520. Its totient is φ = 5248167936.

The previous prime is 23241301411. The next prime is 23241301453. The reversal of 23241301440 is 4410314232.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23241301440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536926 + ... + 578594.

It is an arithmetic number, because the mean of its divisors is an integer number (381030480).

Almost surely, 223241301440 is an apocalyptic number.

23241301440 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 23241301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42675413760).

23241301440 is an abundant number, since it is smaller than the sum of its proper divisors (62109526080).

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

23241301440 is a wasteful number, since it uses less digits than its factorization.

23241301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41779 (or 41769 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23241301440 its reverse (4410314232), we get a palindrome (27651615672).

The spelling of 23241301440 in words is "twenty-three billion, two hundred forty-one million, three hundred one thousand, four hundred forty".