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400042240040 = 23510199814579
BaseRepresentation
bin1011101001001000110…
…00000010100000101000
31102020120122001101102202
411310210120002200220
523023241303140130
6503435445315332
740621263635552
oct5644430024050
91366518041382
10400042240040
11144725462a23
1265645405b48
132b95430a651
141550da3a4d2
15a61548e145
hex5d24602828

400042240040 has 32 divisors (see below), whose sum is σ = 900978444000. Its totient is φ = 159859846464.

The previous prime is 400042239977. The next prime is 400042240043. The reversal of 400042240040 is 40042240004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400042239994 and 400042240021.

It is not an unprimeable number, because it can be changed into a prime (400042240043) by changing a digit.

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, 4866530 + ... + 4948049.

It is an arithmetic number, because the mean of its divisors is an integer number (28155576375).

Almost surely, 2400042240040 is an apocalyptic number.

400042240040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400042240040 is an abundant number, since it is smaller than the sum of its proper divisors (500936203960).

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

400042240040 is a wasteful number, since it uses less digits than its factorization.

400042240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815609 (or 9815605 counting only the distinct ones).

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

Adding to 400042240040 its reverse (40042240004), we get a palindrome (440084480044).

The spelling of 400042240040 in words is "four hundred billion, forty-two million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1019 2038 4076 5095 8152 10190 20380 40760 9814579 19629158 39258316 49072895 78516632 98145790 196291580 392583160 10001056001 20002112002 40004224004 50005280005 80008448008 100010560010 200021120020 400042240040