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404231747040 = 253251122979999
BaseRepresentation
bin1011110000111100001…
…01101111010111100000
31102122101121100101121200
411320132011233113200
523110331311401130
6505411305121200
741130145104642
oct5703605572740
91378347311550
10404231747040
11146485312600
1266414489200
132c171281284
14157ca200892
15a7ad199760
hex5e1e16f5e0

404231747040 has 432 divisors, whose sum is σ = 1568548800000. Its totient is φ = 94615234560.

The previous prime is 404231747039. The next prime is 404231747053. The reversal of 404231747040 is 40747132404.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 404231746986 and 404231747004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5012961 + ... + 5092959.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900000).

Almost surely, 2404231747040 is an apocalyptic number.

404231747040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404231747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784274400000).

404231747040 is an abundant number, since it is smaller than the sum of its proper divisors (1164317052960).

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

404231747040 is a wasteful number, since it uses less digits than its factorization.

404231747040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80071 (or 80049 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 404231747040 its reverse (40747132404), we get a palindrome (444978879444).

The spelling of 404231747040 in words is "four hundred four billion, two hundred thirty-one million, seven hundred forty-seven thousand, forty".