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23453443440 = 243257171914407
BaseRepresentation
bin10101110101111011…
…110010010101110000
32020112111210101001100
4111311323302111300
5341013040142230
614435132404400
71460124660060
oct256573622560
966474711040
1023453443440
119a45948209
124666616700
132299cc32ab
1411c6c053a0
1592402d660
hex575ef2570

23453443440 has 480 divisors, whose sum is σ = 100335006720. Its totient is φ = 4779565056.

The previous prime is 23453443417. The next prime is 23453443471. The reversal of 23453443440 is 4434435432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23453443395 and 23453443404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1620717 + ... + 1635123.

It is an arithmetic number, because the mean of its divisors is an integer number (209031264).

Almost surely, 223453443440 is an apocalyptic number.

23453443440 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 23453443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50167503360).

23453443440 is an abundant number, since it is smaller than the sum of its proper divisors (76881563280).

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

23453443440 is a wasteful number, since it uses less digits than its factorization.

23453443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14469 (or 14460 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 23453443440 its reverse (4434435432), we get a palindrome (27887878872).

The spelling of 23453443440 in words is "twenty-three billion, four hundred fifty-three million, four hundred forty-three thousand, four hundred forty".