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242808319446 = 237112193078191
BaseRepresentation
bin1110001000100010000…
…0001110110111010110
3212012201201200122001020
43202020200032313112
512434232412210241
6303313344542010
723354005443030
oct3421040166726
9765651618036
10242808319446
1193a79a6a200
123b084021906
1319b87152604
14ba7563ac50
1564b178ab66
hex388880edd6

242808319446 has 192 divisors, whose sum is σ = 644308008960. Its totient is φ = 59545886400.

The previous prime is 242808319393. The next prime is 242808319463. The reversal of 242808319446 is 644913808242.

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 29639211 + ... + 29647401.

It is an arithmetic number, because the mean of its divisors is an integer number (3355770880).

Almost surely, 2242808319446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242808319446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322154004480).

242808319446 is an abundant number, since it is smaller than the sum of its proper divisors (401499689514).

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

242808319446 is a wasteful number, since it uses less digits than its factorization.

242808319446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8551 (or 8540 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 242808319446 in words is "two hundred forty-two billion, eight hundred eight million, three hundred nineteen thousand, four hundred forty-six".