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423313411104 = 253219294165063
BaseRepresentation
bin1100010100011110111…
…00100000110000100000
31111110122102212100210100
412022033130200300200
523413421213123404
6522244551302400
742404046424413
oct6121734406040
91443572770710
10423313411104
11153587426201
126a05a97aa00
1330bc261265c
14166ba555b7a
15b0284b5d39
hex628f720c20

423313411104 has 288 divisors, whose sum is σ = 1342842883200. Its totient is φ = 125918392320.

The previous prime is 423313411093. The next prime is 423313411109. The reversal of 423313411104 is 401114313324.

423313411104 is a `hidden beast` number, since 4 + 233 + 1 + 3 + 411 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4233134111042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (423313411109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6473677 + ... + 6538739.

It is an arithmetic number, because the mean of its divisors is an integer number (4662648900).

Almost surely, 2423313411104 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 423313411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671421441600).

423313411104 is an abundant number, since it is smaller than the sum of its proper divisors (919529472096).

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

423313411104 is a wasteful number, since it uses less digits than its factorization.

423313411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65168 (or 65157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 423313411104 its reverse (401114313324), we get a palindrome (824427724428).

The spelling of 423313411104 in words is "four hundred twenty-three billion, three hundred thirteen million, four hundred eleven thousand, one hundred four".