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42442042000 = 245321221021
BaseRepresentation
bin100111100001101111…
…100010101010010000
311001112212012010100111
4213201233202222100
51143410130321000
631255252131104
73031516255531
oct474157425220
9131485163314
1042442042000
1116aaa476376
128285906a94
134004c9b327
1420a8a52688
1511860b4cba
hex9e1be2a90

42442042000 has 40 divisors (see below), whose sum is σ = 102624862392. Its totient is φ = 16976816000.

The previous prime is 42442041953. The next prime is 42442042001. The reversal of 42442042000 is 24024424.

It can be written as a sum of positive squares in 4 ways, for example, as 1237913856 + 41204128144 = 35184^2 + 202988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (42442042001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10608511 + ... + 10612510.

Almost surely, 242442042000 is an apocalyptic number.

42442042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42442042000 is an abundant number, since it is smaller than the sum of its proper divisors (60182820392).

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

42442042000 is a wasteful number, since it uses less digits than its factorization.

42442042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21221044 (or 21221028 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 42442042000 its reverse (24024424), we get a palindrome (42466066424).

The spelling of 42442042000 in words is "forty-two billion, four hundred forty-two million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 21221021 42442042 84884084 106105105 169768168 212210210 339536336 424420420 530525525 848840840 1061051050 1697681680 2122102100 2652627625 4244204200 5305255250 8488408400 10610510500 21221021000 42442042000