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4002643122 = 234161726371
BaseRepresentation
bin1110111010010011…
…0111110010110010
3101022221200100010120
43232210313302302
531144134034442
61501102311110
7201121622322
oct35644676262
911287610116
104002643122
11177442a025
12938588496
134ba3387aa
1429d841282
151865e84ec
hexee937cb2

4002643122 has 32 divisors (see below), whose sum is σ = 8214139584. Its totient is φ = 1299513600.

The previous prime is 4002643109. The next prime is 4002643129. The reversal of 4002643122 is 2213462004.

It is a junction number, because it is equal to n+sod(n) for n = 4002643092 and 4002643101.

It is not an unprimeable number, because it can be changed into a prime (4002643129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138597 + ... + 164967.

It is an arithmetic number, because the mean of its divisors is an integer number (256691862).

Almost surely, 24002643122 is an apocalyptic number.

4002643122 is an abundant number, since it is smaller than the sum of its proper divisors (4211496462).

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

4002643122 is a wasteful number, since it uses less digits than its factorization.

4002643122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27034.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4002643122 is about 63266.4454667717. The cubic root of 4002643122 is about 1587.7506162047.

The spelling of 4002643122 in words is "four billion, two million, six hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 41 82 123 246 617 1234 1851 3702 25297 26371 50594 52742 75891 79113 151782 158226 1081211 2162422 3243633 6487266 16270907 32541814 48812721 97625442 667107187 1334214374 2001321561 4002643122