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400040404040 = 23510181982321
BaseRepresentation
bin1011101001001000100…
…01000010010001001000
31102020120111121002220202
411310210101002101020
523023240320412130
6503435342111332
740621242221024
oct5644421022110
91366514532822
10400040404040
11144724419572
126564487b548
132b953b16a64
141550d6bd384
15a61522a145
hex5d24442448

400040404040 has 32 divisors (see below), whose sum is σ = 900180234360. Its totient is φ = 160000281600.

The previous prime is 400040404031. The next prime is 400040404051. The reversal of 400040404040 is 40404040004.

It can be written as a sum of positive squares in 4 ways, for example, as 262219781476 + 137820622564 = 512074^2 + 371242^2 .

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

400040404040 is a modest number, since divided by 404040 gives 400040 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83921 + ... + 898400.

Almost surely, 2400040404040 is an apocalyptic number.

400040404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400040404040 is an abundant number, since it is smaller than the sum of its proper divisors (500139830320).

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

400040404040 is a wasteful number, since it uses less digits than its factorization.

400040404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992513 (or 992509 counting only the distinct ones).

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

Adding to 400040404040 its reverse (40404040004), we get a palindrome (440444444044).

The spelling of 400040404040 in words is "four hundred billion, forty million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 10181 20362 40724 50905 81448 101810 203620 407240 982321 1964642 3929284 4911605 7858568 9823210 19646420 39292840 10001010101 20002020202 40004040404 50005050505 80008080808 100010101010 200020202020 400040404040