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42112213434 = 23219761161807
BaseRepresentation
bin100111001110000101…
…010110000110111010
311000200212120002121200
4213032011112012322
51142221211312214
631202430515030
73020402623314
oct471605260672
9130625502550
1042112213434
1116950279285
1281b3365a76
133c818585b5
142076d167b4
151167162d09
hex9ce1561ba

42112213434 has 48 divisors (see below), whose sum is σ = 96172202880. Its totient is φ = 13281036480.

The previous prime is 42112213417. The next prime is 42112213477. The reversal of 42112213434 is 43431221124.

42112213434 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 221 + 3 + 434 = 666.

42112213434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42112213398 and 42112213407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179359 + ... + 341165.

It is an arithmetic number, because the mean of its divisors is an integer number (2003587560).

Almost surely, 242112213434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42112213434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48086101440).

42112213434 is an abundant number, since it is smaller than the sum of its proper divisors (54059989446).

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

42112213434 is a wasteful number, since it uses less digits than its factorization.

42112213434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162595 (or 162592 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 42112213434 its reverse (43431221124), we get a palindrome (85543434558).

The spelling of 42112213434 in words is "forty-two billion, one hundred twelve million, two hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 761 1522 2283 4566 6849 13698 14459 28918 43377 86754 130131 161807 260262 323614 485421 970842 1456263 2912526 3074333 6148666 9222999 18445998 27668997 55337994 123135127 246270254 369405381 738810762 1108216143 2216432286 2339567413 4679134826 7018702239 14037404478 21056106717 42112213434