Search a number
-
+
4042122043011 = 31317371609102409
BaseRepresentation
bin111010110100100001001…
…111111001111010000011
3112022102102102202012012020
4322310201033321322003
51012211231220334021
612332531503332523
7565014360316203
oct72644117717203
915272372665166
104042122043011
111319288573a68
125534825b1143
1323422a6b6140
14dd8d5694403
1570228e107c6
hex3ad213f9e83

4042122043011 has 64 divisors (see below), whose sum is σ = 6315567350400. Its totient is φ = 2276426612736.

The previous prime is 4042122042971. The next prime is 4042122043039. The reversal of 4042122043011 is 1103402212404.

It is not a de Polignac number, because 4042122043011 - 210 = 4042122041987 is a prime.

It is a super-2 number, since 2×40421220430112 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4042122043411) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 39419175 + ... + 39521583.

It is an arithmetic number, because the mean of its divisors is an integer number (98680739850).

Almost surely, 24042122043011 is an apocalyptic number.

4042122043011 is a deficient number, since it is larger than the sum of its proper divisors (2273445307389).

4042122043011 is a wasteful number, since it uses less digits than its factorization.

4042122043011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104088.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4042122043011 its reverse (1103402212404), we get a palindrome (5145524255415).

The spelling of 4042122043011 in words is "four trillion, forty-two billion, one hundred twenty-two million, forty-three thousand, eleven".

Divisors: 1 3 13 17 37 39 51 111 221 481 629 663 1443 1609 1887 4827 8177 20917 24531 27353 59533 62751 82059 102409 178599 307227 355589 773929 1012061 1066767 1331317 1740953 2321787 3036183 3789133 3993951 5222859 11367399 13156793 22632389 39470379 49258729 64415261 67897167 147776187 164776081 193245783 494328243 837398393 2142089053 2512195179 2801193377 6096714997 6426267159 8403580131 18290144991 36415513901 79257294961 103644154949 109246541703 237771884883 310932464847 1347374014337 4042122043011