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4142753946 = 232363763281
BaseRepresentation
bin1111011011101101…
…0110100010011010
3101200201022201001100
43312323112202122
531441021111241
61523025332230
7204442553562
oct36673264232
911621281040
104142753946
1118365273a1
12977497076
135103843c6
142b42b3da2
15193a729b6
hexf6ed689a

4142753946 has 24 divisors (see below), whose sum is σ = 8978576724. Its totient is φ = 1380516480.

The previous prime is 4142753921. The next prime is 4142753959. The reversal of 4142753946 is 6493572414.

It can be written as a sum of positive squares in 2 ways, for example, as 3162375225 + 980378721 = 56235^2 + 31311^2 .

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 11 ways as a sum of consecutive naturals, for example, 33826 + ... + 97106.

Almost surely, 24142753946 is an apocalyptic number.

4142753946 is an abundant number, since it is smaller than the sum of its proper divisors (4835822778).

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

4142753946 is a wasteful number, since it uses less digits than its factorization.

4142753946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66926 (or 66923 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 4142753946 is about 64364.2287765495. The cubic root of 4142753946 is about 1606.0647361995.

The spelling of 4142753946 in words is "four billion, one hundred forty-two million, seven hundred fifty-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 3637 7274 10911 21822 32733 63281 65466 126562 189843 379686 569529 1139058 230152997 460305994 690458991 1380917982 2071376973 4142753946