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6400040000 = 2654160001
BaseRepresentation
bin1011111010111100…
…01101110001000000
3121112000210201101112
411331132031301000
5101101402240000
62535023022452
7314412304514
oct57536156100
917460721345
106400040000
112794723862
1212a743aa28
137acc22623
14449dc4144
15276d08235
hex17d78dc40

6400040000 has 70 divisors (see below), whose sum is σ = 15870118374. Its totient is φ = 2560000000.

The previous prime is 6400039999. The next prime is 6400040041. The reversal of 6400040000 is 400046.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 510398464 + 5889641536 = 22592^2 + 76744^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40001 + ... + 120000.

Almost surely, 26400040000 is an apocalyptic number.

It is an amenable number.

6400040000 is an abundant number, since it is smaller than the sum of its proper divisors (9470078374).

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

6400040000 is an equidigital number, since it uses as much as digits as its factorization.

6400040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160033 (or 160008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 6400040000 is about 80000.2499996094. The cubic root of 6400040000 is about 1856.6394014277.

Adding to 6400040000 its reverse (400046), we get a palindrome (6400440046).

The spelling of 6400040000 in words is "six billion, four hundred million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 160001 320002 640004 800005 1280008 1600010 2560016 3200020 4000025 5120032 6400040 8000050 10240064 12800080 16000100 20000125 25600160 32000200 40000250 51200320 64000400 80000500 100000625 128000800 160001000 200001250 256001600 320002000 400002500 640004000 800005000 1280008000 1600010000 3200020000 6400040000