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4204242105 = 357233747051
BaseRepresentation
bin1111101010010111…
…1010010010111001
3101212000000121221120
43322211322102321
532102241221410
61533103255453
7206120316420
oct37245722271
911760017846
104204242105
111868204358
12993baa589
1352003282b
142bc51c2b7
1519916b570
hexfa97a4b9

4204242105 has 64 divisors (see below), whose sum is σ = 8238993408. Its totient is φ = 1788652800.

The previous prime is 4204242101. The next prime is 4204242109. The reversal of 4204242105 is 5012424024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4204242101) and next prime (4204242109).

It is not a de Polignac number, because 4204242105 - 22 = 4204242101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4204242101) 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 63 ways as a sum of consecutive naturals, for example, 65830 + ... + 112880.

It is an arithmetic number, because the mean of its divisors is an integer number (128734272).

Almost surely, 24204242105 is an apocalyptic number.

It is an amenable number.

4204242105 is a deficient number, since it is larger than the sum of its proper divisors (4034751303).

4204242105 is a wasteful number, since it uses less digits than its factorization.

4204242105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47126.

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4204242105 is about 64840.1272747054. The cubic root of 4204242105 is about 1613.9716643343.

Adding to 4204242105 its reverse (5012424024), we get a palindrome (9216666129).

It can be divided in two parts, 420 and 4242105, that multiplied together give a square (1781684100 = 422102).

The spelling of 4204242105 in words is "four billion, two hundred four million, two hundred forty-two thousand, one hundred five".

Divisors: 1 3 5 7 15 21 23 35 37 69 105 111 115 161 185 259 345 483 555 777 805 851 1295 2415 2553 3885 4255 5957 12765 17871 29785 47051 89355 141153 235255 329357 705765 988071 1082173 1646785 1740887 3246519 4940355 5222661 5410865 7575211 8704435 12186209 16232595 22725633 26113305 36558627 37876055 40040401 60931045 113628165 120121203 182793135 200202005 280282807 600606015 840848421 1401414035 4204242105