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23424441040 = 24571113222501
BaseRepresentation
bin10101110100001101…
…001001101011010000
32020110111012220020101
4111310031021223100
5340433124103130
614432215022144
71456323315010
oct256415115320
966414186211
1023424441040
119a30539290
12465896a954
132293caa400
1411c3015c40
159217001ca
hex574349ad0

23424441040 has 240 divisors, whose sum is σ = 73528615296. Its totient is φ = 6739200000.

The previous prime is 23424441031. The next prime is 23424441043. The reversal of 23424441040 is 4014442432.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23424441043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029790 + ... + 1052290.

Almost surely, 223424441040 is an apocalyptic number.

23424441040 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 23424441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36764307648).

23424441040 is an abundant number, since it is smaller than the sum of its proper divisors (50104174256).

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

23424441040 is a wasteful number, since it uses less digits than its factorization.

23424441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22558 (or 22539 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 23424441040 its reverse (4014442432), we get a palindrome (27438883472).

It can be divided in two parts, 23424 and 441040, that added together give a palindrome (464464).

The spelling of 23424441040 in words is "twenty-three billion, four hundred twenty-four million, four hundred forty-one thousand, forty".