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23042283840 = 263455631579
BaseRepresentation
bin10101011101011011…
…010101100101000000
32012110212010022010000
4111131123111211000
5334142311040330
614330244040000
71444003116042
oct253533254500
965425108100
1023042283840
11985484a994
124570993000
132232a753a4
141188377a92
158ecdb3560
hex55d6d5940

23042283840 has 280 divisors, whose sum is σ = 82163046240. Its totient is φ = 6129810432.

The previous prime is 23042283757. The next prime is 23042283853. The reversal of 23042283840 is 4838224032.

It is a happy number.

23042283840 is a `hidden beast` number, since 230 + 42 + 2 + 8 + 384 + 0 = 666.

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 = 23042283795 and 23042283804.

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 39 ways as a sum of consecutive naturals, for example, 14592171 + ... + 14593749.

Almost surely, 223042283840 is an apocalyptic number.

23042283840 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 23042283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41081523120).

23042283840 is an abundant number, since it is smaller than the sum of its proper divisors (59120762400).

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

23042283840 is a wasteful number, since it uses less digits than its factorization.

23042283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

It can be divided in two parts, 2304 and 2283840, that added together give a square (2286144 = 15122).

The spelling of 23042283840 in words is "twenty-three billion, forty-two million, two hundred eighty-three thousand, eight hundred forty".