Search a number
-
+
42212404104060 = 223559151359219971
BaseRepresentation
bin10011001100100010101110…
…10110100000101101111100
312112110110121000120022200110
421212101113112200231330
521013102000422312220
6225440035530230020
711614513503456351
oct1146212726405574
9175413530508613
1042212404104060
11124a51a8707023
124899068885310
131a727c6c30138
14a5d13c5ba628
154d3095113be0
hex2664575a0b7c

42212404104060 has 192 divisors, whose sum is σ = 121331627827200. Its totient is φ = 10961896992000.

The previous prime is 42212404104047. The next prime is 42212404104061. The reversal of 42212404104060 is 6040140421224.

42212404104060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42212404104061) 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, 191789875 + ... + 192009845.

It is an arithmetic number, because the mean of its divisors is an integer number (631935561600).

Almost surely, 242212404104060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42212404104060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60665813913600).

42212404104060 is an abundant number, since it is smaller than the sum of its proper divisors (79119223723140).

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

42212404104060 is a wasteful number, since it uses less digits than its factorization.

42212404104060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220552 (or 220550 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 42212404104060 its reverse (6040140421224), we get a palindrome (48252544525284).

The spelling of 42212404104060 in words is "forty-two trillion, two hundred twelve billion, four hundred four million, one hundred four thousand, sixty".