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42044300034 = 23112121347743
BaseRepresentation
bin100111001010000010…
…010001101100000010
311000112010202201221120
4213022002101230002
51142101320100114
631152003133110
73015616440132
oct471202215402
9130463681846
1042044300034
1116915a02a00
128194674196
133c7076a759
14206bcb8ac2
1511611ea5a9
hex9ca091b02

42044300034 has 48 divisors (see below), whose sum is σ = 92506100736. Its totient is φ = 12729926880.

The previous prime is 42044300003. The next prime is 42044300041. The reversal of 42044300034 is 43000344024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42044299977 and 42044300013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856767 + ... + 904509.

It is an arithmetic number, because the mean of its divisors is an integer number (1927210432).

Almost surely, 242044300034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42044300034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46253050368).

42044300034 is an abundant number, since it is smaller than the sum of its proper divisors (50461800702).

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

42044300034 is a wasteful number, since it uses less digits than its factorization.

42044300034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48983 (or 48972 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42044300034 its reverse (43000344024), we get a palindrome (85044644058).

The spelling of 42044300034 in words is "forty-two billion, forty-four million, three hundred thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1213 2426 3639 7278 13343 26686 40029 47743 80058 95486 143229 146773 286458 293546 440319 525173 880638 1050346 1575519 3151038 5776903 11553806 17330709 34661418 57912259 115824518 173736777 347473554 637034849 1274069698 1911104547 3822209094 7007383339 14014766678 21022150017 42044300034