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400004400440 = 23510000110011
BaseRepresentation
bin1011101001000100001…
…11101100010100111000
31102020110222211221021002
411310202013230110320
523023202111303230
6503432014304132
740620324206201
oct5644207542470
91366428757232
10400004400440
11144706068527
12656347b8048
132b94951c258
14155089ca5a8
15a611eb7545
hex5d221ec538

400004400440 has 16 divisors (see below), whose sum is σ = 900009901080. Its totient is φ = 160001760160.

The previous prime is 400004400409. The next prime is 400004400443. The reversal of 400004400440 is 44004400004.

It is a Harshad number since it is a multiple of its sum of digits (20).

400004400440 is a modest number, since divided by 4400440 gives 4000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400004400443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5000054966 + ... + 5000055045.

Almost surely, 2400004400440 is an apocalyptic number.

400004400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400004400440 is an abundant number, since it is smaller than the sum of its proper divisors (500005500640).

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

400004400440 is a wasteful number, since it uses less digits than its factorization.

400004400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000110022 (or 10000110018 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 400004400440 its reverse (44004400004), we get a palindrome (444008800444).

The spelling of 400004400440 in words is "four hundred billion, four million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 10000110011 20000220022 40000440044 50000550055 80000880088 100001100110 200002200220 400004400440