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23313433440 = 25351131142433
BaseRepresentation
bin10101101101100101…
…101100001101100000
32020011202100010102210
4111231211230031200
5340221214332230
614413211442120
71453504625463
oct255545541540
966152303383
1023313433440
119983909670
124627756340
132276cb153b
1411b239b2da
15916ac3eb0
hex56d96c360

23313433440 has 192 divisors, whose sum is σ = 82698319872. Its totient is φ = 5469388800.

The previous prime is 23313433417. The next prime is 23313433457. The reversal of 23313433440 is 4433431332.

It is a super-3 number, since 3×233134334403 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23313433398 and 23313433407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92464 + ... + 234896.

It is an arithmetic number, because the mean of its divisors is an integer number (430720416).

Almost surely, 223313433440 is an apocalyptic number.

23313433440 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 23313433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41349159936).

23313433440 is an abundant number, since it is smaller than the sum of its proper divisors (59384886432).

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

23313433440 is a wasteful number, since it uses less digits than its factorization.

23313433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142493 (or 142485 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 23313433440 its reverse (4433431332), we get a palindrome (27746864772).

The spelling of 23313433440 in words is "twenty-three billion, three hundred thirteen million, four hundred thirty-three thousand, four hundred forty".