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399404884320 = 2532513178315121
BaseRepresentation
bin1011100111111100110…
…00101110000101100000
31102011221012202100202100
411303332120232011200
523020440122244240
6503252320450400
740566424333611
oct5637630560540
91364835670670
10399404884320
11144428710162
12654a7a79a00
132b8822629a0
141548d12bc08
15a5c9542e30
hex5cfe62e160

399404884320 has 576 divisors, whose sum is σ = 1572983665344. Its totient is φ = 91410923520.

The previous prime is 399404884313. The next prime is 399404884321. The reversal of 399404884320 is 23488404993.

399404884320 is a `hidden beast` number, since 3 + 99 + 40 + 4 + 88 + 432 + 0 = 666.

399404884320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399404884321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26406360 + ... + 26421480.

It is an arithmetic number, because the mean of its divisors is an integer number (2730874419).

Almost surely, 2399404884320 is an apocalyptic number.

399404884320 is a gapful number since it is divisible by the number (30) 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 399404884320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786491832672).

399404884320 is an abundant number, since it is smaller than the sum of its proper divisors (1173578781024).

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

399404884320 is a wasteful number, since it uses less digits than its factorization.

399404884320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15255 (or 15244 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 399404884320 in words is "three hundred ninety-nine billion, four hundred four million, eight hundred eighty-four thousand, three hundred twenty".