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42038038404 = 22329539971229
BaseRepresentation
bin100111001001101010…
…011000111110000100
311000111200222121121100
4213021222120332010
51142043214212104
631151221020100
73015512300505
oct471152307604
9130450877540
1042038038404
11169124164aa
128192554630
133c6c38764b
14206b128bac
1511608b0139
hex9c9a98f84

42038038404 has 72 divisors (see below), whose sum is σ = 106567657560. Its totient is φ = 13972557312.

The previous prime is 42038038391. The next prime is 42038038421. The reversal of 42038038404 is 40483083024.

It can be written as a sum of positive squares in 4 ways, for example, as 25296266304 + 16741772100 = 159048^2 + 129390^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34204462 + ... + 34205690.

It is an arithmetic number, because the mean of its divisors is an integer number (1480106355).

Almost surely, 242038038404 is an apocalyptic number.

It is an amenable number.

42038038404 is an abundant number, since it is smaller than the sum of its proper divisors (64529619156).

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

42038038404 is a wasteful number, since it uses less digits than its factorization.

42038038404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42038038404 in words is "forty-two billion, thirty-eight million, thirty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 953 997 1229 1906 1994 2458 2859 2991 3687 3812 3988 4916 5718 5982 7374 8577 8973 11061 11436 11964 14748 17154 17946 22122 34308 35892 44244 950141 1171237 1225313 1900282 2342474 2450626 2850423 3513711 3675939 3800564 4684948 4901252 5700846 7027422 7351878 8551269 10541133 11027817 11401692 14054844 14703756 17102538 21082266 22055634 34205076 42164532 44111268 1167723289 2335446578 3503169867 4670893156 7006339734 10509509601 14012679468 21019019202 42038038404