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400404324425 = 5272432176777
BaseRepresentation
bin1011101001110011111…
…01010010000001001001
31102021111212101011211112
411310321331102001021
523030012001340200
6503535422140105
740633251413300
oct5647175220111
91367455334745
10400404324425
111448a0891316
1265726721635
132b9b1335071
1415545b71437
15a637163535
hex5d39f52049

400404324425 has 54 divisors (see below), whose sum is σ = 591310212318. Its totient is φ = 268176263040.

The previous prime is 400404324403. The next prime is 400404324427. The reversal of 400404324425 is 524423404004.

It can be written as a sum of positive squares in 3 ways, for example, as 91327257616 + 309077066809 = 302204^2 + 555947^2 .

It is not a de Polignac number, because 400404324425 - 210 = 400404323401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400404324391 and 400404324400.

It is not an unprimeable number, because it can be changed into a prime (400404324427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2176637 + ... + 2353413.

It is an arithmetic number, because the mean of its divisors is an integer number (10950189117).

Almost surely, 2400404324425 is an apocalyptic number.

It is an amenable number.

400404324425 is a deficient number, since it is larger than the sum of its proper divisors (190905887893).

400404324425 is a wasteful number, since it uses less digits than its factorization.

400404324425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176887 (or 176832 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 400404324425 its reverse (524423404004), we get a palindrome (924827728429).

The spelling of 400404324425 in words is "four hundred billion, four hundred four million, three hundred twenty-four thousand, four hundred twenty-five".

Divisors: 1 5 7 25 35 43 49 175 215 245 301 1075 1225 1505 1849 2107 7525 9245 10535 12943 46225 52675 64715 90601 176777 323575 453005 883885 1237439 2265025 4419425 6187195 7601411 8662073 30935975 38007055 43310365 53209877 190035275 216551825 266049385 326860673 372469139 1330246925 1634303365 1862345695 2288024711 8171516825 9311728475 11440123555 16016172977 57200617775 80080864885 400404324425