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242020557020 = 225113055935999
BaseRepresentation
bin1110000101100110001…
…1001010000011011100
3212010200211101011011002
43201121203022003130
512431124230311040
6303103244245432
723325331535414
oct3413143120334
9763624334132
10242020557020
1193705327680
123aaa4240878
1319a8cb958b8
14b9dcb79644
15646752ea15
hex38598ca0dc

242020557020 has 48 divisors (see below), whose sum is σ = 554480640000. Its totient is φ = 88002150720.

The previous prime is 242020557019. The next prime is 242020557059. The reversal of 242020557020 is 20755020242.

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 15 ways as a sum of consecutive naturals, for example, 6704981 + ... + 6740979.

It is an arithmetic number, because the mean of its divisors is an integer number (11551680000).

Almost surely, 2242020557020 is an apocalyptic number.

242020557020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242020557020 is an abundant number, since it is smaller than the sum of its proper divisors (312460082980).

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

242020557020 is a wasteful number, since it uses less digits than its factorization.

242020557020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66578 (or 66576 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

Adding to 242020557020 its reverse (20755020242), we get a palindrome (262775577262).

The spelling of 242020557020 in words is "two hundred forty-two billion, twenty million, five hundred fifty-seven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 30559 35999 61118 71998 122236 143996 152795 179995 305590 336149 359990 395989 611180 672298 719980 791978 1344596 1583956 1680745 1979945 3361490 3959890 6722980 7919780 1100093441 2200186882 4400373764 5500467205 11000934410 12101027851 22001868820 24202055702 48404111404 60505139255 121010278510 242020557020