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42231597540 = 2235111719397499
BaseRepresentation
bin100111010101001100…
…110000100111100100
311001000012012102211020
4213111030300213210
51142442242110130
631222333411140
73023352441036
oct472514604744
9131005172736
1042231597540
1116a016aa330
128227339ab0
133ca04c8092
142088b11c56
151172895e10
hex9d53309e4

42231597540 has 384 divisors, whose sum is σ = 144426240000. Its totient is φ = 9087344640.

The previous prime is 42231597539. The next prime is 42231597553. The reversal of 42231597540 is 4579513224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42231597492 and 42231597501.

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 127 ways as a sum of consecutive naturals, for example, 84632211 + ... + 84632709.

It is an arithmetic number, because the mean of its divisors is an integer number (376110000).

Almost surely, 242231597540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42231597540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72213120000).

42231597540 is an abundant number, since it is smaller than the sum of its proper divisors (102194642460).

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

42231597540 is a wasteful number, since it uses less digits than its factorization.

42231597540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 42231597540 in words is "forty-two billion, two hundred thirty-one million, five hundred ninety-seven thousand, five hundred forty".