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4142461830 = 23513103910223
BaseRepresentation
bin1111011011101000…
…1111001110000110
3101200200202212100020
43312322033032012
531440432234310
61523015200010
7204440226123
oct36672171606
911620685306
104142461830
111836347981
12977376006
135102b1460
142b423974a
15193a16170
hexf6e8f386

4142461830 has 64 divisors (see below), whose sum is σ = 10718023680. Its totient is φ = 1018601856.

The previous prime is 4142461823. The next prime is 4142461853. The reversal of 4142461830 is 381642414.

It is a junction number, because it is equal to n+sod(n) for n = 4142461791 and 4142461800.

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 31 ways as a sum of consecutive naturals, for example, 400099 + ... + 410321.

It is an arithmetic number, because the mean of its divisors is an integer number (167469120).

Almost surely, 24142461830 is an apocalyptic number.

4142461830 is an abundant number, since it is smaller than the sum of its proper divisors (6575561850).

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

4142461830 is a wasteful number, since it uses less digits than its factorization.

4142461830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11285.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4142461830 is about 64361.9594947202. The cubic root of 4142461830 is about 1606.0269860909.

The spelling of 4142461830 in words is "four billion, one hundred forty-two million, four hundred sixty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1039 2078 3117 5195 6234 10223 10390 13507 15585 20446 27014 30669 31170 40521 51115 61338 67535 81042 102230 132899 135070 153345 202605 265798 306690 398697 405210 664495 797394 1328990 1993485 3986970 10621697 21243394 31865091 53108485 63730182 106216970 138082061 159325455 276164122 318650910 414246183 690410305 828492366 1380820610 2071230915 4142461830