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42441214242 = 237191011094831
BaseRepresentation
bin100111100001101100…
…011000100100100010
311001112210122001212210
4213201230120210202
51143404422323432
631255222302550
73031506240330
oct474154304442
9131483561783
1042441214242
1116aa9a60479
128285587a56
134004a6b62b
1420a88b8b50
151185e9e8cc
hex9e1b18922

42441214242 has 128 divisors (see below), whose sum is σ = 104092876800. Its totient is φ = 11267424000.

The previous prime is 42441214229. The next prime is 42441214243. The reversal of 42441214242 is 24241214424.

It is not an unprimeable number, because it can be changed into a prime (42441214243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8782767 + ... + 8787597.

It is an arithmetic number, because the mean of its divisors is an integer number (813225600).

Almost surely, 242441214242 is an apocalyptic number.

42441214242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42441214242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52046438400).

42441214242 is an abundant number, since it is smaller than the sum of its proper divisors (61651662558).

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

42441214242 is a wasteful number, since it uses less digits than its factorization.

42441214242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072.

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

Adding to 42441214242 its reverse (24241214424), we get a palindrome (66682428666).

The spelling of 42441214242 in words is "forty-two billion, four hundred forty-one million, two hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 101 109 114 133 202 218 266 303 327 399 606 654 707 763 798 1414 1526 1919 2071 2121 2289 3838 4142 4242 4578 4831 5757 6213 9662 11009 11514 12426 13433 14493 14497 22018 26866 28986 28994 33027 33817 40299 43491 66054 67634 77063 80598 86982 91789 101451 154126 183578 202902 209171 231189 275367 418342 462378 487931 526579 550734 627513 642523 975862 1053158 1255026 1285046 1463793 1464197 1579737 1927569 2927586 2928394 3159474 3415517 3686053 3855138 4392591 6831034 7372106 8785182 9270689 10005001 10246551 11058159 18541378 20010002 20493102 22116318 27812067 30015003 53184479 55624134 60030006 64894823 70035007 106368958 129789646 140070014 159553437 194684469 210105021 319106874 372291353 389368938 420210042 744582706 1010505101 1116874059 2021010202 2233748118 3031515303 6063030606 7073535707 14147071414 21220607121 42441214242