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404323311420 = 22355722951899
BaseRepresentation
bin1011110001000111000…
…11000001111100111100
31102122121222122100100000
411320203203001330330
523111023231431140
6505424335434300
741132336304330
oct5704343017474
91378558570300
10404323311420
11146521a72246
126643b085990
132c187230292
14157d84377c0
15a7b6234a30
hex5e238c1f3c

404323311420 has 288 divisors, whose sum is σ = 1459942848000. Its totient is φ = 92011417344.

The previous prime is 404323311389. The next prime is 404323311463. The reversal of 404323311420 is 24113323404.

404323311420 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 233 + 1 + 1 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7764631 + ... + 7816529.

It is an arithmetic number, because the mean of its divisors is an integer number (5069246000).

Almost surely, 2404323311420 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 404323311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729971424000).

404323311420 is an abundant number, since it is smaller than the sum of its proper divisors (1055619536580).

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

404323311420 is a wasteful number, since it uses less digits than its factorization.

404323311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52159 (or 52145 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 404323311420 its reverse (24113323404), we get a palindrome (428436634824).

The spelling of 404323311420 in words is "four hundred four billion, three hundred twenty-three million, three hundred eleven thousand, four hundred twenty".