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400404442420 = 2251011971006193
BaseRepresentation
bin1011101001110011111…
…01101110110100110100
31102021111212121011200201
411310321331232310310
523030012014124140
6503535424450244
740633252414303
oct5647175566464
91367455534621
10400404442420
111448a0961a34
1265726779984
132b9b1376998
1415545ba243a
15a63718849a
hex5d39f6ed34

400404442420 has 48 divisors (see below), whose sum is σ = 853485949008. Its totient is φ = 157770905600.

The previous prime is 400404442409. The next prime is 400404442439. The reversal of 400404442420 is 24244404004.

It can be written as a sum of positive squares in 8 ways, for example, as 154749397924 + 245655044496 = 393382^2 + 495636^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105157 + ... + 901036.

It is an arithmetic number, because the mean of its divisors is an integer number (17780957271).

Almost surely, 2400404442420 is an apocalyptic number.

It is an amenable number.

400404442420 is an abundant number, since it is smaller than the sum of its proper divisors (453081506588).

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

400404442420 is a wasteful number, since it uses less digits than its factorization.

400404442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006500 (or 1006498 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 400404442420 its reverse (24244404004), we get a palindrome (424648846424).

The spelling of 400404442420 in words is "four hundred billion, four hundred four million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 101 197 202 394 404 505 788 985 1010 1970 2020 3940 19897 39794 79588 99485 198970 397940 1006193 2012386 4024772 5030965 10061930 20123860 101625493 198220021 203250986 396440042 406501972 508127465 792880084 991100105 1016254930 1982200210 2032509860 3964400420 20020222121 40040444242 80080888484 100101110605 200202221210 400404442420