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23442212424240 = 2432529412667883
BaseRepresentation
bin1010101010010000100001…
…01111101000101000110000
310002000001110002102111002200
411111020100233220220300
511033034122340033430
6121505112000343200
74636433606614161
oct525102057505060
9102001402374080
1023442212424240
11751887185a235
122767311614b00
13101078b995c9c
145b0875677768
152a9bbbd2d460
hex155210be8a30

23442212424240 has 360 divisors, whose sum is σ = 83476430135280. Its totient is φ = 5888475156480.

The previous prime is 23442212424209. The next prime is 23442212424251. The reversal of 23442212424240 is 4242421224432.

23442212424240 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 221 + 2 + 4 + 2 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 23442212424195 and 23442212424204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34765339 + ... + 35433221.

It is an arithmetic number, because the mean of its divisors is an integer number (231878972598).

Almost surely, 223442212424240 is an apocalyptic number.

23442212424240 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 23442212424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41738215067640).

23442212424240 is an abundant number, since it is smaller than the sum of its proper divisors (60034217711040).

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

23442212424240 is a wasteful number, since it uses less digits than its factorization.

23442212424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668013 (or 667963 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 23442212424240 its reverse (4242421224432), we get a palindrome (27684633648672).

The spelling of 23442212424240 in words is "twenty-three trillion, four hundred forty-two billion, two hundred twelve million, four hundred twenty-four thousand, two hundred forty".