Search a number
-
+
4042201424142 = 237103992630309
BaseRepresentation
bin111010110100100101111…
…110101110000100001110
3112022102121222010011122010
4322310211332232010032
51012211412031033032
612332543421002050
7565016343124110
oct72644576560416
915272558104563
104042201424142
111319319362202
125534a50b3326
13234240c8a91b
14dd9020393b0
1570230d90ccc
hex3ad25fae10e

4042201424142 has 32 divisors (see below), whose sum is σ = 9248210150400. Its totient is φ = 1153803116448.

The previous prime is 4042201424111. The next prime is 4042201424153. The reversal of 4042201424142 is 2414241022404.

It is a super-2 number, since 2×40422014241422 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46271517 + ... + 46358792.

It is an arithmetic number, because the mean of its divisors is an integer number (289006567200).

Almost surely, 24042201424142 is an apocalyptic number.

4042201424142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4042201424142 is an abundant number, since it is smaller than the sum of its proper divisors (5206008726258).

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

4042201424142 is a wasteful number, since it uses less digits than its factorization.

4042201424142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92631360.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 4042201424142 its reverse (2414241022404), we get a palindrome (6456442446546).

The spelling of 4042201424142 in words is "four trillion, forty-two billion, two hundred one million, four hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 1039 2078 3117 6234 7273 14546 21819 43638 92630309 185260618 277890927 555781854 648412163 1296824326 1945236489 3890472978 96242891051 192485782102 288728673153 577457346306 673700237357 1347400474714 2021100712071 4042201424142