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4142231676 = 2233113486727
BaseRepresentation
bin1111011011100101…
…0111000001111100
3101200200100011122000
43312321113001330
531440402403201
61523010222300
7204435250122
oct36671270174
911620304560
104142231676
1118361aaa70
12977284990
1351023077b
142b41b9912
151939bcd86
hexf6e5707c

4142231676 has 48 divisors (see below), whose sum is σ = 11715406080. Its totient is φ = 1255221360.

The previous prime is 4142231567. The next prime is 4142231689. The reversal of 4142231676 is 6761322414.

4142231676 is a `hidden beast` number, since 414 + 2 + 231 + 6 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4142231676.

It is a congruent number.

It is an unprimeable number.

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, 1742176 + ... + 1744551.

It is an arithmetic number, because the mean of its divisors is an integer number (244070960).

Almost surely, 24142231676 is an apocalyptic number.

It is an amenable number.

4142231676 is an abundant number, since it is smaller than the sum of its proper divisors (7573174404).

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

4142231676 is a wasteful number, since it uses less digits than its factorization.

4142231676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486751 (or 3486743 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4142231676 is about 64360.1715038113. The cubic root of 4142231676 is about 1605.9972420726.

The spelling of 4142231676 in words is "four billion, one hundred forty-two million, two hundred thirty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3486727 6973454 10460181 13946908 20920362 31380543 38353997 41840724 62761086 76707994 94141629 115061991 125522172 153415988 188283258 230123982 345185973 376566516 460247964 690371946 1035557919 1380743892 2071115838 4142231676