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400034320040 = 23522943671869
BaseRepresentation
bin1011101001000111110…
…01110100111010101000
31102020120002011000020102
411310203321310322220
523023232241220130
6503435003444532
740621136421305
oct5644371647250
91366502130212
10400034320040
11144720a43573
1265642826748
132b952796764
141550c9780ac
15a614927645
hex5d23e74ea8

400034320040 has 32 divisors (see below), whose sum is σ = 904007709000. Its totient is φ = 159314974464.

The previous prime is 400034320001. The next prime is 400034320061. The reversal of 400034320040 is 40023430004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 334965452644 + 65068867396 = 578762^2 + 255086^2 .

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 = 400034319994 and 400034320021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21826775 + ... + 21845094.

Almost surely, 2400034320040 is an apocalyptic number.

400034320040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400034320040 is an abundant number, since it is smaller than the sum of its proper divisors (503973388960).

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

400034320040 is a wasteful number, since it uses less digits than its factorization.

400034320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43672109 (or 43672105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 400034320040 its reverse (40023430004), we get a palindrome (440057750044).

The spelling of 400034320040 in words is "four hundred billion, thirty-four million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 229 458 916 1145 1832 2290 4580 9160 43671869 87343738 174687476 218359345 349374952 436718690 873437380 1746874760 10000858001 20001716002 40003432004 50004290005 80006864008 100008580010 200017160020 400034320040