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23314448640 = 283572343877
BaseRepresentation
bin10101101101101001…
…100100000100000000
32020011211020201000210
4111231221210010000
5340221444324030
614413245314120
71453516354320
oct255551440400
966154221023
1023314448640
11998444237a
124627b65940
132277278652
1411b2583280
15916c24bb0
hex56da64100

23314448640 has 576 divisors, whose sum is σ = 90966306816. Its totient is φ = 4973101056.

The previous prime is 23314448629. The next prime is 23314448699. The reversal of 23314448640 is 4684441332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26583882 + ... + 26584758.

It is an arithmetic number, because the mean of its divisors is an integer number (157927616).

Almost surely, 223314448640 is an apocalyptic number.

23314448640 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 23314448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45483153408).

23314448640 is an abundant number, since it is smaller than the sum of its proper divisors (67651858176).

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

23314448640 is a wasteful number, since it uses less digits than its factorization.

23314448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

Adding to 23314448640 its reverse (4684441332), we get a palindrome (27998889972).

The spelling of 23314448640 in words is "twenty-three billion, three hundred fourteen million, four hundred forty-eight thousand, six hundred forty".