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2042144126 = 211103901211
BaseRepresentation
bin111100110111000…
…1010010101111110
312021022122200002122
41321232022111332
513140242103001
6534350122542
7101414636651
oct17156122576
95238580078
102042144126
11958812120
1248bab0452
13267111b09
14155309898
15be439b1b
hex79b8a57e

2042144126 has 16 divisors (see below), whose sum is σ = 3374137728. Its totient is φ = 919234200.

The previous prime is 2042144119. The next prime is 2042144129. The reversal of 2042144126 is 6214412402.

It is a super-3 number, since 3×20421441263 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2042144095 and 2042144104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042144129) 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 7 ways as a sum of consecutive naturals, for example, 448340 + ... + 452871.

It is an arithmetic number, because the mean of its divisors is an integer number (210883608).

Almost surely, 22042144126 is an apocalyptic number.

2042144126 is a deficient number, since it is larger than the sum of its proper divisors (1331993602).

2042144126 is a wasteful number, since it uses less digits than its factorization.

2042144126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901327.

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2042144126 is about 45190.0888027452. The cubic root of 2042144126 is about 1268.7093188732.

Adding to 2042144126 its reverse (6214412402), we get a palindrome (8256556528).

The spelling of 2042144126 in words is "two billion, forty-two million, one hundred forty-four thousand, one hundred twenty-six".

Divisors: 1 2 11 22 103 206 1133 2266 901211 1802422 9913321 19826642 92824733 185649466 1021072063 2042144126